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TCS Placement Paper January 2011:-

Writen Test:-

1. (1/2) of a number is 3 more than the (1/6) of the same number?

a) 6b) 7c) 8d) 9

2. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1 liter every hour in A, it gets filled up like, 10, 20, 40,80, 160..in tank B. (At the end of first hour, B has 10 liters, second hour it has 20 liters and so on). If tank B is 1/32 filled of the 21 hours, what is total duration of hours required to fill it completely?

a) 26B) 25c) 5d) 27

3. Smita was making a cube with dimensions 5*5*5 using 1*1*1 cubes. What is the number of cubes needed to make a hollow cube looking of the same shape?

a) 98b)104c)100d) 61

4. A lady has fine gloves and hats in her closet- 25blue, 7 red, and 9 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?

5. A game is played between 2 players and one player is declared as winner. All the winners from first round are played in second round. All the winners from second round are played in third round and so on. If 8 rounds are played to declare only one player as winner, how many players are played in first round?

a) 256b) 512c) 64d) 128

6. 1. There is 7 friends (A1, A2, A3....A7).If A1 have to have shake with all without repeat. How many handshakes possible?a) 6

b) 21c) 28d) 7

7. On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula d = 4*√ (t-9) for t ≥ 9 where d represents the diameter in mm and t the number of years since the solar blast. Jagan recorded the radius of some echina at a particular spot as 7mm. How many years back did the solar blast occur?

a) 17b) 21.25c) 12.25d) 14.05

8. Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Ferrari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success .Rohit once bought a Ferrari. It could go 4 times as fast as Mohan's old Mercedes. If the speed of Mohan's Mercedes is 35 km/hr and the distance traveled by the Ferrari is 490 km, find the total time taken for Rohit to drive that distance.

a) 20.72b) 5.18c) 238.25d) 6.18

9. A sheet of paper has statements numbered from 1 to 70. For all values of n from 1 to 70. Statement n says ' At least n of the statements on this sheet are false. ‘Which statements are true and which are false?

a) The even numbered statements are true and the odd numbered are false.b) The odd numbered statements are true and the even numbered are false.c) The first 35 statements are true and the last 35 are false. d) The first 35 statements are false and the last 35 are false.

10. 3 persons a, b ,c were there A always says truth lies on Monday, Tuesday,& Wednesday. but C lies on thrusday, Friday & Saturday .one day A said" that B & C said to A that” B said “yesterday way one of the days when I lies”, C said that” yesterday way one of the days when I lies too". then which day was that?a) Sundayb) Thursdayc) Saturdayd) Tuesday

11. By using 1,2,3,4,5,how many 5 digit no. can be formed which is divisible by 4,repetation of no. is allowed??

12. Alice and Bob play the following coins-on-a-stack game. 20 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top by repeatedly moving the topmost coin to another position in the stack. Alice starts and the players take turns. A turn consists of moving the coin on the top to a position i below the top coin (0 ≤ i ≤ 20). We will call this an

i-move (thus a 0-move implies doing nothing). The proviso is that an i-move cannot be repeated; for example once a player makes a 2-move, on subsequent turns neither player can make a 2-move.If the gold coin happens to be on top when it's a player's turn then the player wins the game. Initially, the gold coins the third coin from the top. Then:-

A) In order to win, Alice's first move should be a 0-move.B) In order to win, Alice's first move can be a 0-move or a 1-move.C) In order to win, Alice's first move should be a 1-move.D) Alice has no winning strategy.

13. For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A's chances of winning. Let's assume such rumors to be true and that in a match between Ghana and Bolivia, Ghana the stronger team has a probability of 2/3 of winning the game. What is the probability that Paul will correctly pick the winner of the Ghana-Bolivia game?A) 4/9B) 1/9C) 2/3D) 5/3

14. Alok and Bhanu play the following min-max game. Given the expression N = 9 + X + Y – Z where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be

15. 10 suspects are rounded by the police and questioned about a bank robbery. Only one of them is guilty. The suspects are made to stand in a line and each person declares that the person next to him on his right is guilty. The rightmost person is not questioned. Which of the following possibilities are true?

A. All suspects are lying or the leftmost suspect is innocent. B. All suspects are lying and the leftmost suspect is innocent .

A) B only B) Neither A nor BC) A onlyD) Both A and B

16. The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. As one of the forerunners in the technology front, Tirnop continues to lead the way in products and services in India. At Tirnop, all programmers are equal in every respect. They receive identical salaries ans also write code at the same rate. Suppose 12 such programmers take 12 minutes to write 12 lines of code in total. How long will it take 72 programmers to write 72 lines of code in total?

17. There are two boxes, one containing 10 red balls and the other containing 10 green balls. You are allowed to move the balls between the boxes so that when you choose a box at random and a ball at random from the chosen box, the probability of getting a red ball is maximized. This maximum probability is

18. One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child’s age and eldest child’s age is two times of sum of other two children. What is the age of

eldest child?

19. In a school, for a student out of 100 he got 74 of average for 7 subjects and he got 79 marks in the 8th subject. what is the average of all the subject?

a)76.251 b)80.25 c)74.265 d)74.625

20. 3 persons a,b,c were there A always says truth,B lies on Monday,tusday,& Wednesday.but C lies on thrusday,Friday & saturday .one day A said”that B & C said to A that” B said “yesterday way one of the days when I lies”,C said that”yesterday way one of the days when I lies too”.then which day was that?a)Sunday b)Thursday c)Saturday d)Tuesday

21. Which is the smallest no which divides 2880 and gives a perfect square?

a)4 b)9 c)3 d)5

22. How many 9 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if the repetition is allowed?

a)57 b)56 c)59 d)58

23. how many 13 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if repetition of digits is allowed?


25. Form 8 digit numbers from by using 1, 2,3,4,5 with repetition is allowed and must be divisible by4?

26. How many of 14 digit numbers we can make with 1,2,3,4,5 that are divisible by 4. Repetitions allowed.

27. Six friends decide to share a big cake. Since all of them like the cake, they begin quarreling who gets to first cut and have a piece of the cake. One friend suggests that they have a blindfold friend choose from well shuffled set of cards numbered one to six. You check and find that this method works as it should simulating a fair throw of a die. You check by performing multiple simultaneous trials of picking the cards blindfold and throwing a die. You note that the number shown by the method of picking up a card and throwing a real world die, sums to a number between 2 and 12. Which total would be likely to appear more often – 8,9 or 10?

a) 8 b)All are equally likely c)9 d)10

28. Given a collection of points P in the plane , a 1-set is a point in P that can be separated from the rest by a line, .i.e the point lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n1(P). The minimum value of n1(P) over all configurations P of 5 points in the plane in general position (.i.e no three points in P lie on a line) is

29. Jagan recorded the radius of some echina at a particular spot as 12mm. How many years back did the solar blast occur?

(a) 17(b) 21.25

(c) 12(d) 12.06Ans. c

30. Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari , the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Feraari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success. Rohit once bought a Ferrari . It could go 4 times as fast as Mohan's old Mercedes. If the speed of Mohan's Mercedes is 46 km/hr and the distance traveled by the Ferrari is 953 km, find the total time taken for Rohit to drive that distance.

(a) 20.72(b) 5.18(c) 238.25(d) 6.18

Ans. b

31. A sheet of paper has statements numbered from 1 to 70. For all values of n from 1 to 70. Statement n says 'At least n of the statements on this sheet are false.' Which statements are true and which are false?

(a) The even numbered statements are true and the odd numbered are false.(b) The odd numbered statements are true and the even numbered are false.(c) The first 35 statements are true and the last 35 are false.(d) The first 35 statements are false and the last 35 are false.

Ans. c

Note: For this type of Questions, follow this:At least- Ist half are true, Last half are falseExactly- Last second one is true or (N-1)th Statement is trueAlmost- All are true.

32. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one liter every hour in A, it gets filled up like 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10 liters, second hour it has 20, and so on). If tank B is 1/32 filled after 21 hours, what is the total duration required to fill it completely?

(a) 26 hrs(b) 25 hrs(c) 5 hrs(d) 27 hrsAns. a

33. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one liter every hour in A, it gets filled up like 10, 20, 40, 80, 160... in tank B. (At the end of first hour, B has 10 liters , second hour it has 20, and so on). If tank B is 1/16 filled after 4 hours, what is the total duration required to fill it completely?

(a) 8hrs

(b) 25 hrs(c) 5 hrs(d) 27 hrsAns. a

34. Unnecessary data. A lady has fine gloves and hats in her closet- 18 blue- 32 red , 10 white , 25 yellow, 55 purple, 30 orange. The lights are out and it is totally dark inspite of the darkness. She can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color of blue, red, yellow?

(a) 59(b) 8(c) 50(d) 42Ans. a(32+25+2)Note: For this type of questions:Bigger+Middle+1 (Suppose 18, 32, 25 =32+25+1), If you do not find answer in options, choose the one closer tho the answer you got.

35. The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. As one of the forerunners in the technology front, Tirnop continues to lead the way in products and services in India. At Tirnop, all programmers are equal in every respect. They receive identical salaries and also write code at the same rate. Suppose 12 such programmers take 12 minutes to write 12 lines of code in total. How long will it take 72 programmers to write 72 lines of code in total?

(a) 6(b) 18(c) 72(d) 12Ans. dNote: N1T1/W1=N2T2, W=No. of Lines, N=No. of PRGMRS, T=Time

36. The citizens of planet nigiet are 6 fingered and have thus developed their decimal system in base 6. A certain street in nigiet contains 1000 (in base 8) buildings numbered 1 to 1000. How many 3s are used in numbering these buildings?

(a) 256(b) 54(c) 192(d) 108Ans. dNote: First find no. 3s in 1000 (Decimal only), Definately you will get 300, Now convert 300 into 300 base 6 by this 3*6^2+0*6^1+0*6^0

37.12 people {a1, a2, …, a12} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, …, {a11, a12}, {a12, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is

(a) 12(b) 4

(c) 18(d) 11Ans. B (N/3)

38. Alice and Bob play the following coins-on-a-stack game. 100 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top by repeatedly moving the topmost coin to another position in the stack.Alice starts and the players take turns. A turn consists of moving the coin on the top to a position i below the top coin (0 = i = 100). We will call this an i-move (thus a 0-move implies doing nothing). The proviso is that an i-move cannot be repeated; for example once a player makes a 2-move, on subsequent turns neither player can make a 2-move.If the gold coin happens to be on top when it’s a player’s turn then the player wins the game.

A. Alice has no winning strategy.B. Initially, the gold coins the third coin from the top. ThenC. In order to win, Alice’s first move should be a 0-move.D. In order to win, Alice’s first move should be a 1-move.

Ans. D

39. people meet and shake hands. The maximum number of handshakes possible if there is to be no “cycle” of handshakes is (A cycle of handshakes is a sequence of k people a1, a2, ……, ak (k > 2) such that the pairs {a1, a2}, {a2, a3}, ……, {ak-1, ak}, {ak, a1} shake hands).

(a)7(b) 6(c) 9(d) 8

Ans. c **(N-1)**

40. Amal bought 5 pens, 7 pencils and 4 erasers. Rajan bought 6 pens, 8 erasers and 14 pencils for an amount which was half more than what Amal had paid. What % of the total amount paid by Amal was paid for pens?

a) 37.5% b) 62.5%c) 50%d) None of these

TCS Placement Paper August 2010:-

Writen Test:-

Q.1. The age of Ram and Sayam are in the ratio 5:6 and after 4 years their ratios are 7:8 then what is the present age of Sayam?

Ans. 12years (names and values may change)

Q.2. In school there are some bicycles and 4wheeler wagons.one Tuesday there are 190 wheels in the campus. How many bicycles are there?

Ans. 15

Q.3. Six friends go to pizza corner there are 2 types of pizzas. And six different flavors are there they have to select 4 flavors from 16 flavors. In how many ways we can select?

Ans. 16C4

Q.4. 3, 15, x, 51, 53,159,161. Find X

Ans. 17

Q.5. 3 friends A, B, C went for week end party to McDonald’s restaurant and there they measure there weights in some order IN 7 rounds. A B C AB BC AC ABC. Final round measure is 155 kg then find the average weight of all the 7 rounds?

Ans. 4(155)/7=31

Q.6. The cost of making robot is divided into cost of material, cost of repairing and cost of painting in the ratio of 5:2:3. The cost used for material is 200. Find the total cost of making the robot?

Ans. 400 (just calculate it).

Q.7. A triangle is made from a rope. The sides of the triangle are A cm, B cm and C cm (I do not remember the numerical value)What will be the area of the square made from the same rope?

Ans. ( (A+B+C)/4)2

Q. 8. What is the distance of the z-intercept from the x-intercept in the equation ax+by+cz=d (I do not remember the values of a, b, c, d).

Ans. sqrt ((d/a) 2+ (d/c) 2)

Q.9. A scientist in Antarctic region conducts research on bears came to know that bears changes according to the location .once he moves 1 mile towards north, then he moves 2 miles towards east, then 1 mile towards south. Now the color of bear he found will be in:

Ans. white

Q.10. Two pipes A and B fill at A certain rate B is filled at 10,20,40,80,. If 1/16 of B if filled in 17 hours what time it will take to get completely filled

Ans. 21

Q.11. A boy bought a roll A of 56 inches wide and 141 yards long. He also bought B of 77 inches wide of length 333yards. We don’t want any details of B. Some irrelevant matter. Final question is Time taken for cutting A into 1 yard piece is 2 seconds. Time taken to cut into 141 pieces of 1 yard each is?

Ans. is 2(141) =242

Q.12. Person buys a horse for 15 ponds, after one year he sells it for 20 pounds. After one year, again he buys the same horse at 30 pounds and sells it for 40 pounds. What is the profit for that person?

Ans. is 15 pounds

Q.13. There are 1000 pillars for a temple. 3 friends Linda, Chelsey, Juli visited that temple. (Some unrelated stuff) Linda is taller than Chelsea and taller than 2 of 1000 pillars. Julia is shorter than Linda. Find the correct sentence?

(a) Linda is shorter among them(b) Chelsea is taller than Julia(c) Chelsea is shorter than Julia(d) Cannot determine who is taller among Chelsea and Julia

Ans. (d)

Q.14. In a family there are some boys and girls. All boys told that they are having equal no of brothers and sisters and girls told that they are having twice the no. of brothers than sisters. How many boys and girls present in a family?

Ans. is 4 boys and 3 girls

Q.15. Ram buys a cycle for 31 dollars and given a cheque of amount 35 dollars. Shop Keeper exchanged the cheque with his neighbor and gave change to Ram. After 2 days, it is known that cheque is bounced. Shop keeper paid the amount to his neighbor. The cost price of cycle is 19 dollars. What is the profit/loss for shop keeper?

Ans. is 23(cost price + change given).

Q.16. Metal strip of width ‘x’ cm. 2 metal strips are placed one over the other, then the combine length of 2 strips is ‘y’. If ‘z’ strips are placed in that manner. What is the final width of that arrangement?

Ans. is (z-1) (y-x) +x.

Q.17. A game is played between 2 players and one player is declared as winner. All the winners from first round are played in second round. All the winners from second round are played in third round and so on. If 8 rounds are played to declare only one player as winner, how many players are played in first round

Ans. is 28.

Q.18. There are 3 boys A, B, C and 2 Girls D, E. D always sit right to A. Girls never sit in extreme positions and in the middle position. C always sits in the extreme positions. Who is sitting immediate right to E?

Ans. is B or C

Q.19. 49 members attended the party. In that 22 are males, 17 are females. The shake hands between males, females, male and female. Total 12 people given shake hands. How many such kinds of such shake hands are possible?

Ans. is 12C2

Q.20. Entry ticket to an exhibition ranges from 1p to 31p. You need to provide exact change at the counter. You have 31p coin. In how many parts will u divide 31p so that u will provide the exact change required and carry as less coins as possible?

(a) 22(b) 31(c) 6(d) 32

Ans. is 6

Q.21. There are 2 friends Peter and Paul. Peter age is twice as old as Paul when peter was as old as Paul is now. Sum of the present ages of Peter and Paul is 35.What is the present age of Peter?

Ans. is 20

Q.22. A lady took out jacket and gloves, which are available in blue 16, yellow 40 and red 36. Power goes off, she can distinguish between gloves and jacket but not in colors. What's the possibility their she will pick up pair of gloves of each color.

Ans. very easy..

Q.23. Two bowls are taken, one contains water and another contains tea. One spoon of water is added to second bowl and mixed well, and a spoon of mixture is taken from second bowl and added to the second bowl. Which statement will hold good for the above?

Ans. second liquid in first bowl is smaller than the first mixture in second bowl)

Q.24. Rearrange and categorize the word ‘IGTRE’?

Ans. Animal (TIGER)

Q.25. One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child’s age and eldest child’s age is two times of sum of other two children. What is the age of eldest child?

Ans. 18

Q.26. The ticket for a journey is in the range of 1 to 63 paise. You have 63 paise in your pocket and so on. and the question is You have to change the money into coins and all denominations are available at final. You have to buy the ticket and you should have at least one coin? (not same figures)

Ans. 64 (Just add 1 to highest i.e. 63+1)

Q.27. The sum of two numbers is given and product is also given find the square of difference of two

numbers..

Ans. (a-b)2=a2+b2+2ab..

Q 28. The dog and here are running, dog crosses the roads, rivers and different. Here start running after 2 hours of dog running, dog runs 30kmph in 6 hours then what is the average speed of here?(values are not same)

Ans. 30*6/4

Q.29. There are some chocolates. A woman can eat 3chocolates and a man can eat 1 chocolate and a child can eat half chocolate. then 20 chocolates is divided in...

Ans. Go through the options( 5Woman, 3man, 4children).

Q.30. A water tank is filled in the way as 256,128,64,... th parts in every hour, then in how many hours the tank will filled?

Ans. 256,128,64,32,16,8,4,2,1 ( 9 hours) values are not same..

Q.31. The age of Ram and Sayam are in the ratio 5:6 and after 4 years their ratios are 7:8 then what is the present age of Sayam?

Ans. 12years (names and values may change)

Q. 32.: There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1 liter every hour in A, it gets filled up like, 10, 20, 40,80, 160…..in tank B. 1/8 th of the tank B is filled in 22 hours. What is the time to fill the tank fully?

a) 26(b) 25(c) 5(d) 27

Ans: 22+log 2 base 8=22+4=26

Q.33.: A sheet of paper has statements numbered from 1 to 70. For all values of n from 1 to 70. Statement n says 'At least n of the statements on this sheet are false.' Which statements are true and which are false?


Ans. c

Note: For this type of Questions, follow this:--At least- I'st half are true, Last half are false--Exactly- Last second one is true or (N-1)th Statement is true

--Almost- All are true.

Q 34. : Unnecessary data. A lady has fine gloves and hats in her closet- 18 blue- 32 red , 10 white , 25 yellow, 55 purple, 30 orange. The lights are out and it is totally dark in spite of the darkness. She can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color of blue, red, yellow?

(a) 59(b) 8(c) 50(d) 42

Ans: a(32+25+2)Note: For this type of questions:Bigger+Middle+1 (Suppose 18, 32, 25 =32+25+1), If you do not find answer in options, choose the one closer those the answer you got.

Q 35. The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. As one of the forerunners in the technology front, Tirnop continues to lead the way in products and services in India. At Tirnop, all programmers are equal in every respect. They receive identical salaries and also write code at the same rate. Suppose 12 such programmers take 12 minutes to write 12 lines of code in total. How long will it take 72 programmers to write 72 lines of code in total?For this type question you should follow d step of basic math that will helpful you get enough time from that.12 prog 12 line 12 min1 prog 12 line 12*121 1 12*12/1272 1 12*12/(12*72)72 72 12*12*72/(12*72)

Ans:12Note: This question appears 3 times in our question but app is different please follow basic rule think it it is very very easy.

Q.36.: 12 people {a1, a2, …, a12} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, …, {a11, a12}, {a12, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is

(a) 12(b) 4(c) 18(d) 11

Ans. B (N/3)

Q 37.: 10 suspects are rounded by the police and questioned about a bank robbery. Only one of them is guilty. The suspects are made to stand in a line and each person declares that the person next to him on his right is guilty. The rightmost person is not questioned. Which of the following possibilities are true?A. All suspects are lying.B. leftmost suspect is innocent.

C. leftmost suspect is guilty(a) A only(b) A or C(c) A or B(d) B onlyAns. cNote: Remember it I don't know the logic

Q.38.: Alok and Bhanu play the following min-max game. Given the expression N = 15 + X*(Y – Z) Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be?

Ans. 15+18 =33Note: For this type of questions:x+y-z=11x-y-z=2x*(y+z)=18

Q.39. How many four digit numbers can be formed using the digits 1, 2, 3, 4, 5 (but with repetition) that are divisible by 4? Can you help Alok find the answer?(a) 100(b) 125(c) 75(d) 85Ans:. 5^n-1= 5^4-1=125, n= no of digits

Q.40 Given a collection of points P in the plane , a 1-set is a point in P that can be separated from the rest by a line, .i.e the point lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n1(P). The minimum value of n1(P) over all configurations P of 5 points in the plane in general position (.i.e no three points in P lie on a line) is

(a) 3(b) 5(c) 2

Ans. Will be same as no of points in the plane, IE 5

Welcome to TCS Placement Paper September 2010. Here you will find TCS Placement Paper Pattern and Download questions of TCS Placement Paper September 2010 with Answers & Solutions.

TCS Placement Paper September 2010:-

Writen Test:-

Q.1. How many four digit numbers can be formed using the digits 1, 2, 3, 4, 5 (but with repetition) that are divisible by 4?

Can you help Alok find the answer?(a) 100(b) 125(c) 75(d) 85

Ans. 5^n-1= 5^4-1=125, n= no of digits

Q.2.On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula d = 4* (t-9) for t ≥ 9

Where d represents the diameter in mm and t the number of years since the solar blast.

Jagan recorded the radius of some echina at a particular spot as 12mm. How many years back did the solar blast occur?

(a) 17(b) 21.25(c) 12(d) 12.06Ans. c

Q.3.. Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari , the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Feraari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success. Rohit once bought a Ferrari . It could go 4 times as fast as Mohan's old Mercedes. If the speed of Mohan's Mercedes is 46 km/hr and the distance traveled by the Ferrari is 953 km, find the total time taken for Rohit to drive that distance.

(a) 20.72(b) 5.18(c) 238.25(d) 6.18

Ans. b

Q.4. A sheet of paper has statements numbered from 1 to 70. For all values of n from 1 to 70. Statement n says 'At least n of the statements on this sheet are false.' Which statements are true and which are false?


Ans. cNote: For this type of Questions, follow this:At least- Ist half are true, Last half are falseExactly- Last second one is true or (N-1)th Statement is trueAlmost- All are true.

Q.5. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one liter every hour in A, it gets filled up like 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10 liters, second hour it has 20, and so on). If tank B is 1/32 filled after 21 hours, what is the total duration required to fill it completely?


Q.6 There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one liter every hour in A, it gets filled up like 10, 20, 40, 80, 160... in tank B. (At the end of first hour, B has 10 liters , second hour it has 20, and so on). If tank B is 1/16 filled after 4 hours, what is the total duration required to fill it completely?

(a) 8hrs(b) 25 hrs(c) 5 hrs(d) 27 hrsAns. a

Q.7. Unnecessary data. A lady has fine gloves and hats in her closet- 18 blue- 32 red , 10 white , 25 yellow, 55 purple, 30 orange. The lights are out and it is totally dark inspite of the darkness. She can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color of blue, red, yellow?


Q.8 The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. As one of the forerunners in the technology front, Tirnop continues to lead the way in products and services in India. At Tirnop, all programmers are equal in every respect. They receive identical salaries and also write code at the same rate. Suppose 12 such programmers take 12 minutes to write 12 lines of code in total. How long will it take 72 programmers to write 72 lines of code in total?


Q.9 The citizens of planet nigiet are 6 fingered and have thus developed their decimal system in base 6. A certain street in nigiet contains 1000 (in base 8) buildings numbered 1 to 1000. How many 3s are used in numbering these buildings?


Q.10. 12 people {a1, a2, …, a12} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, …, {a11, a12}, {a12, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is

(a) 12(b) 4(c) 18(d) 11Ans. B (N/3)

Q. 11. Alice and Bob play the following coins-on-a-stack game. 100 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top by repeatedly moving the topmost coin to another position in the stack.Alice starts and the players take turns. A turn consists of moving the coin on the top to a position i below the top coin (0 = i = 100). We will call this an i-move (thus a 0-move implies doing nothing). The proviso is that an i-move cannot be repeated; for example once a player makes a 2-move, on subsequent turns neither player can make a 2-move.If the gold coin happens to be on top when it’s a player’s turn then the player wins the game.


Ans. D

Q. 12. people meet and shake hands. The maximum number of handshakes possible if there is to be no “cycle” of handshakes is (A cycle of handshakes is a sequence of k people a1, a2, ……, ak (k > 2) such that the pairs {a1, a2}, {a2, a3}, ……, {ak-1, ak}, {ak, a1} shake hands).

(a)7(b) 6(c) 9(d) 8Ans. c **(N-1)**

Q. 13. After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope?

(a) 0(b) 12/212(c) 11/12(d) 1/12Ans. a

Q. 14. 10 suspects are rounded by the police and questioned about a bank robbery. Only one of them is guilty. The suspects are made to stand in a line and each person declares that the person next to him on his right is guilty. The rightmost person is not questioned. Which of the following possibilities are true?

A. All suspects are lying.

B. leftmost suspect is innocent.C. leftmost suspect is guilty

(a) A only(b) A or C(c) A or B(d) B only

Ans. c

Q. 15. Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines is

(a) 4(b) 3(c) 0(d) 1

Ans. a 3 lines are given so answer is 4 one incenter and 3 excenters. If it is 3 line segments then answer would be 1

Q. 16. Alok and Bhanu play the following min-max game. Given the expression N = 15 + X*(Y – Z)

Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be

Ans. 15+18 =33Note: For this type of questions:x+y-z=11x-y-z=2x*(y+z)=18

Q. 17. A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the hare in the other. The hare starts after the tortoise has covered 1/5 of its distance and that too leisurely. The hare and tortoise meet when the hare has covered only 1/8 of the distance. By what factor should the hare increase its speed so as the win the race? (for this values are changed)

(a) 8(b) 5(c) 37(d) 80

Ans. c

Q. 18. A sheet of paper has statements numbered from 1 to 45. For all values of n from 1 to 45, statement n says “At most n of the statements on this sheet are false”. Which statements are true and which are false?

A. The odd numbered statements are true and the even numbered are false.

B. The even numbered statements are true and the odd numbered are false.C. All statements are true.

Ans. c

Q. 56. A hollow cube of size 5 cm is taken, with a thickness of 1 cm. It is made of smaller cubes of size 1 cm. If 1face of the outer surface of the cube are painted, totally how many faces of the smaller cubes remain unpainted?

(a) 900(b) 488(c) 563(d) 800

Ans. c

Note: ** 588-(25* No. of painted faces)

Q. 19 The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. As one of the forerunners in the technology front, Tirnop continues to lead the way in products and services in India. At Tirnop, all programmers are equal in every respect. They receive identical salaries ans also write code at the same rate. Suppose 12 such programmers take 12 minutes to write 12 lines of code in total. How many lines of code can be written by 72 programmers in 72 minutes?

(a) 72(b) 432(c) 12(d) 144Ans. b

Q. 20. The teacher is testing a student’s proficiency in arithmetic and poses the following question. 1/3 of a number is 3 more than 1/6 of the same number. What is the number? Can you help the student find the answer?

(a) 12(b) 18(c) 6(d) 21Ans. bNote: Alok and Bhanu play the following min-max game. Given the expression N = X – Y – Z

Q29. Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be

(a) 2(b) 4(c) 9(d) -18

Ans. a

Q 21. Horse started to chase dog as it relieved stable two hrs ago. And horse started to ran with average speed 22km/hr, horse crossed 10 mts road and two small pounds with depth 3m, and it crossed two small street with 200 mts length. After traveling 6 hrs, 2hrs after sunset it got dog. compute the speed of dog?

Ans. As we have speed and travel time of horse, we can get distance traveled by it.Note: Hence d = 22*6 = 132km,Exactly this 132km was traveled by dog in 8 hours (as it started two hours earlier).Hence speed of dog = 132/8 = 16.5km/hrAns. 16.5km/hr.

Q 61. A and B play a game between them. The dice consist of colors on their faces (instead of number). When the dice are thrown, A wins if both show the same color, otherwise B wins. One die has 3 red faces and 3 blue faces. How many red and blue faces should the other die have if the both players have if the both players have the same chances of winning?

(a) 5 red and 1 blue faces.(b) 1 red and 5 blue faces.(c) 3 red and 3 blue faces.

Ans. c

Q 22. In planet OZ planet there are 8 days, Sunday to Saturday and 8th day is Oz day. There is 36 hours in a day. What is angle between 12.40?

(a) 80(b) 81(c) 87(d) 89

Ans. 89

Q 23.Ramu & sangeetha went for biological analysis to a island which is 34km from their place. They travelled in a boat which went at a speed of 2m/s. when they are in half a distance in the boat sangeetha note there are 7 leg & 8 leg octopuses under the water. Ramu counted the total number of legs of octopuses and got 54. Sangeetha instantly said I know how many 7 leged octopuses are there under the water. They both reached the island after 20 min they left . How many seven leged octopuses does sangeetha calculate?

1. 42. 53. 64. 7

Ans : Total number of legs of both 7 & 8 leged octobus = 54. Find number of 7 leged octopuses

Q 24 The ratio of current age of X and Y is 5:7. After how many years their age becomes 7:9?

Ans : Simple ratio

Q 25. by using 1,2,3,4,5,how many 5 digit no. can be formed which is divisible by 4,repetation of no. is allowed??

Ans : 2500 (not sure)

Q 26. XY=21 and X+Y=13.ans of X & Y will b in points..den x square+y square=??

Ans : Solve using quadratic eqn. you get x & y

Q 27. Person travels from A- to b in 9km/hr, and B to A in 4 Km/hr. What is the average speed?

Ans : 2(9*4)/9+4

Q 28. Avg marks of 5 sub is 61. Six sub mark is 89. What is the average after adding 6th?

Ans : (61*5) + 89/6

Q 29. Find number of 3’s between 1 & 100?

Ans : 19

Q 30. A pipe can fill a tank at the rate 1 litre/hr, the tank is 1/32 filled in 6 hours. After how many hows the tank is filled completely

Ans - 1/16, 1/8, ¼, ½, 1. After 5 hours.

Q. 31. A man has to get air-mail. He starts to go to airport on his motorbike. Plane comes early and the mail is sent by a horse-cart. The man meets the cart in the middle after half an hour. He takes the mail and returns back, by doing so, he saves twenty minutes. How early did the plane arrive?

Ans:10min:::assume he started at 1:00,so at 1:30 he met cart. He returned home at 2:00.so it took him 1 hour for the total jorney.by doing this he saved 20 min.so the actual time if the plane is not late is 1 hour and 20 min.so the actual time of plane is at 1:40.The cart travelled a time of 10 min before it met him.so the plane is 10 min early.

Q. 32. 2 trees are there. One grows at 3/5 of the other. In 4 years total growth of the trees is 8 ft. what growth will smaller tree have in 2 years.

Sol) THE BIG TREE GROWS 8FT IN 4 YEARS=>THE BIG TREE GROWS 4FT IN 2 YEARS.WHEN WE DIVIDE 4FT/5=.8*3=>2.4

ans: 1.5 mt 4 (x+(3/5)x)=88x/5=2x=5/4 after 2 years x=(3/5)*(5/4)*2 =1.5

Q. 33. There is a six digit code. Its first two digits, multiplied by 3 gives all ones. And the next two digits multiplied by 6 give all twos. Remaining two digits multiplied by 9 gives all threes. Then what is the code?

sol) Assume the digit xx xx xx (six digits)First Two digit xx * 3=111 xx=111/3=37( first two digits of 1 is not divisible by 3 so we can use 111)Second Two digit xx*6=222

xx=222/6=37( first two digits of 2 is not divisible by 6 so we can use 222)Thrid Two digit xx*9=333 xx=333/9=37( first two digits of 3 is not divisible by 9 so we can use 333)

Q. 34. There are 4 balls and 4 boxes of colours yellow, pink, red and green. Red ball is in a box whose colour is same as that of the ball in a yellow box. Red box has green ball. In which box you find the yellow ball?

Ans is green...

Sol) Yellow box can have either of pink/yellow balls.if we put a yellow ball in "yellow" box then it wud imply that "yellow" is also the colour of the box which has the red ball(becoz acordin 2 d question,d box of the red ball n the ball in the yellow box have same colour)thus this possibility is ruled out...therefore the ball in yellow box must be pink,hence the colour of box containin red ball is also pink....=>the box colour left out is "green",,,which is alloted to the only box left,,,the one which has yellow ball..

Q. 35. A bag contains 20 yellow balls, 10 green balls, 5 white balls, 8 black balls, and 1 red ball. How many minimum balls one should pick out so that to make sure the he gets at least 2 balls of same color.

Ans:he should pick 6 ball totally.

Sol) Suppose he picks 5 balls of all different colours then when he picks up the sixth one, it must match any on of the previously drawn ball colour.thus he must pick 6 balls

Q. 36. What is the number of zeros at the end of the product of the numbers from 1 to 100

Sol) For every 5 in unit palce one zero is added Ch eta naSso between 1 to 100 there are 10 nos like 5,15,25,..,95 which has 5 in unit place.Similarly for every no divisible by 10 one zero is added in the answer so between 1 to 100 11 zeros are addedfor 25,50,75 3 extra zeros are addedso total no of zeros are 10+11+3=24

Q. 37. 10 Digit number has its first digit equals to the numbers of 1's, second digit equals to the numbers of 2's, 3rd digit equals to the numbers of 3's .4th equals number of 4's..till 9th digit equals to the numbers of 9's and 10th digit equals to the number of 0's. what is the number?.(6marks)

Ans:2100010006

2---shows that two 1's in the ans1---shows that one 2 in ans0---shows no 3 in the ans0---shows no 4 in the ans0---shows no 5 in the ans1---shows one 6 in the ans0---shows no 7 in the ans0---shows no 8 in the ans

0---shows no 9 in the ans6---shows six 0's in the ans

Q. 38 A and B are shooters and having their exam. A and B fall short of 10 and 2 shots respectively to the qualifying mark. If each of them fired atleast one shot and even by adding their total score together, they fall short of the qualifying mark, what is the qualifying mark?

Ans is 11

coz each had atleast 1 shot done so 10 + 1 = 11n 9 + 2 = 11so d ans is 11

Q. 39 Gavaskar average in first 50 innings was 50. After the 51st innings his average was 51 how many runs he made in the 51st innings

Ans) first 50 ings.- run= 50*50=250051st ings.- avg 51. so total run =51*51=2601.so run scored in that ings=2601-2500=101 runs.

Q. 40. Anand finishes a work in 7 days, Bittu finishes the same job in 8 days and Chandu in 6 days. They take turns to finish the work. Anand on the first day, Bittu on the second and Chandu on the third day and then Anand again and so on. On which day will the work get over?

a) 3rd b) 6th c) 9th d) 7th

Ans is d) 7th day

Sol) In d 1st day Anand does 1/7th of total worksimilarly,Bithu does 1/8th work in d 2nd dayhence at d end of 3 days, work done = 1/7+1/8+1/6=73/168remaining work = (168-73)/168 = 95/168again after 6 days of work, remaining work is = (95-73)/168 = 22/168and hence Anand completes the work on 7th day.(hope u understood.)

Welcome to TCS Placement Paper October 2010. Here you will find TCS Placement Paper Pattern and Download questions of TCS Placement Paper October 2010 with Answers & Solutions.

TCS Placement Paper October 2010:-

Writen Test:-

Q. 1. In Madras, temperature at noon varies according to -t^2/2 + 8t + 3, where t is elapsed time. Find how much temperature more or less in 4pm to 9pm.

Ans. At 9pm 7.5 more

Sol) In equestion first put t=9,we will get 34.5...........................(1)now put t=4,we will get 27..............................(2)so ans=34.5-27 =7.5

Q. 2. A person had to multiply two numbers. Instead of multiplying by 35, he multiplied by 53 and the product went up by 540. What was the raised product?

a) 780 b) 1040 c) 1590 d) 1720

Sol) x*53-x*35=540=> x=30 therefore, 53*30=1590 Ans

Q. 3. How many positive integer solutions does the equation 2x+3y = 100 have?

a) 50 b) 33 c) 16 d) 35

Sol) There is a simple way to answer this kind of Q's given 2x+3y=100, take l.c.m of 'x' coeff and 'y' coeff i.e. l.c.m of 2,3 ==6then divide 100 with 6 , which turns out 16 hence answer is 16short cut formula--- constant / (l.cm of x coeff and y coeff)

Q. 4 The total expense of a boarding house are partly fixed and partly variable with the number of boarders. The charge is Rs.70 per head when there are 25 boarders and Rs.60 when there are 50 boarders. Find the charge per head when there are 100 boarders.

a) 65 b) 55 c) 50 d) 45

Sol)Let a = fixed cost and k = variable cost and n = number of boarderstotal cost when 25 boarders c = 25*70 = 1750 i.e. 1750 = a + 25ktotal cost when 50 boarders c = 50*60 = 3000 i.e. 3000 = a + 50ksolving above 2 eqns, 3000-1750 = 25k i.e. 1250 = 25k i.e. k = 50therefore, substituting this value of k in either of above 2 eqns we geta = 500 (a = 3000-50*50 = 500 or a = 1750 - 25*50 = 500)so total cost when 100 boarders = c = a + 100k = 500 + 100*50 = 5500so cost per head = 5500/100 = 55

Q. 5 Amal bought 5 pens, 7 pencils and 4 erasers. Rajan bought 6 pens, 8 erasers and 14 pencils for an amount which was half more than what Amal had paid. What % of the total amount paid by Amal was paid for pens?

a) 37.5% b) 62.5% c) 50% d) None of these

Sol)Let, 5 pens + 7 pencils + 4 erasers = x rupeesso 10 pens + 14 pencils + 8 erasers = 2*x rupeesalso mentioned, 6 pens + 14 pencils + 8 erarsers = 1.5*x rupeesso (10-6) = 4 pens = (2-1.5)x rupeesso 4 pens = 0.5x rupees => 8 pens = x rupeesso 5 pens = 5x/8 rupees = 5/8 of total (note x rupees is total amt paid byamal)i.e 5/8 = 500/8% = 62.5% is the answer

Q. 6. lost Rs.68 in two races. My second race loss is Rs.6 more than the first race. My friend lost Rs.4 more than me in the second race. What is the amount lost by my friend in the second race?

Sol)x + x+6 = rs 682x + 6 = 682x = 68-62x = 62x=31x is the amt lost in I racex+ 6 = 31+6=37 is lost in second racethen my friend lost 37 + 4 = 41 Rs

Q. 7. Ten boxes are there. Each ball weighs 100 gms. One ball is weighing 90 gms.

i) If there are 3 balls (n=3) in each box, how many times will it take to find 90 gms ball?ii) Same question with n=10iii) Same question with n=9

when n=3(i) nC1= 3C1 =3 for 10 boxes .. 10*3=30

(ii) 10C1=10 for 10 boxes ....10*10=100

(iii)9C1=9 for 10 boxes .....10*9=90

Q. 8. (1-1/6) (1-1/7).... (1- (1/ (n+4))) (1-(1/ (n+5))) = ?

leaving the first numerater and last denominater, all the numerater and denominater will cancelled out one another.

Ans. 5/(n+5)

Q. 9. A face of the clock is divided into three parts. First part hours total is equal to the sum of the second and third part. What is the total of hours in the bigger part?

Sol) the clock normally has 12 hrthree parts x,y,zx+y+z=12x=y+z2x=12x=6so the largest part is 6 hrs

Q. 10. Low temperature at the night in a city is 1/3 more than 1/2 hinge as higher temperature in a day. Sum of the low temp and high temp is 100 c. then what is the low temp.

Ans is 40 c.

Q. 11. 2 oranges,3 bananas and 4 apples cost Rs.15. 3 ornages 2 bananas 1 apple costs Rs 10. what is the cost of 3 oranges, 3 bananas and 3 apples

Ans. Rs 15.(same as above)

Q. 12. A shopkeeper bought a watch for Rs.400 and sold it for Rs.500.What is his profit percentage?

Ans. 25%

Q. 13. Bhanu spends 30% of his income on petrol on scooter. ? of the remaining on house rent and the balance on food. If he spends Rs.300 on petrol then what is the expenditure on house rent?

a) Rs.525b) Rs.1000c) Rs.675d) Rs.175

(ans 175)

Q. 14. A sporting goods store ordered an equal number of white and yellow balls. The tennis ball company delivered 45 extra white balls, making the ratio of white balls to yellow balls 1/5 : 1/6. How many white tennis balls did the store originally order for?

a) 450b) 270c) 225d)None of these

ans=180

Q. 12. (1/2) of a number is 3 more than the (1/6) of the same number?

a) 6b) 7

c) 8d) 9

Q. 15.There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1 liter every hour in A, it gets filled up like, 10, 20, 40,80, 160..in tank B. (At the end of first hour, B has 10 liters, second hour it has 20 liters and so on). If tank B is 1/32 filled of the 21 hours, what is total duration of hours required to fill it completely?

a) 26B) 25c) 5d) 27

Q. 16.Smita was making a cube with dimensions 5*5*5 using 1*1*1 cubes. What is the number of cubes needed to make a hollow cube looking of the same shape?

a) 98b)104c)100d) 61

Q. 17. A lady has fine gloves and hats in her closet- 25blue, 7 red, and 9 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?

Q. 18. A game is played between 2 players and one player is declared as winner. All the winners from first round are played in second round. All the winners from second round are played in third round and so on. If 8 rounds are played to declare only one player as winner, how many players are played in first round?a) 256b) 512c) 64d) 128

Q. 19. There is 7 friends (A1, A2, A3....A7).If A1 have to have shake with all without repeat. How many handshakes possible?a) 6b) 21c) 28d) 7

Q. 20. On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula d = 4*√ (t-9) for t ≥ 9 where d represents the diameter in mm and t the number of years since the solar blast. Jagan recorded the radius of some echina at a particular spot as 7mm. How many years back did the solar blast occur?a) 17b) 21.25c) 12.25d) 14.05

Q. 21. Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Ferrari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success .Rohit once bought a Ferrari. It could go 4 times as fast as Mohan's old Mercedes. If the speed of Mohan's Mercedes is 35 km/hr and the distance traveled by the Ferrari is 490 km, find the total time taken for Rohit to drive that distance.a) 20.72b) 5.18c) 238.25d) 6.18

Q. 22. A sheet of paper has statements numbered from 1 to 70. For all values of n from 1 to 70. Statement n says ' At least n of the statements on this sheet are false. ‘Which statements are true and which are false?a) The even numbered statements are true and the odd numbered are false.b) The odd numbered statements are true and the even numbered are false.c) The first 35 statements are true and the last 35 are false. d) The first 35 statements are false and the last 35 are false.

Q. 23. 3 persons a, b ,c were there A always says truth lies on Monday, Tuesday,& Wednesday. but C lies on thrusday, Friday & Saturday .one day A said" that B & C said to A that” B said “yesterday way one of the days when I lies”, C said that” yesterday way one of the days when I lies too". then which day was that?a) Sundayb) Thursdayc) Saturdayd) Tuesday

Q. 24. By using 1,2,3,4,5,how many 5 digit no. can be formed which is divisible by 4,repetation of no. is allowed??

Q 25. Alice and Bob play the following coins-on-a-stack game. 20 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top by repeatedly moving the topmost coin to another position in the stack. Alice starts and the players take turns. A turn consists of moving the coin on the top to a position i below the top coin (0 ≤ i ≤

Q 26.. We will call this an i-move (thus a 0-move implies doing nothing). The proviso is that an i-move cannot be repeated; for example once a player makes a 2-move, on subsequent turns neither player can make a 2-move.If the gold coin happens to be on top when it's a player's turn then the player wins the game. Initially, the gold coins the third coin from the top. Then:-A) In order to win, Alice's first move should be a 0-move.B) In order to win, Alice's first move can be a 0-move or a 1-move.C) In order to win, Alice's first move should be a 1-move.D) Alice has no winning strategy.

Q.27. .For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A's chances of winning. Let's assume such rumors to be true and that in a match between Ghana and Bolivia, Ghana the stronger team has a probability of 2/3 of winning the game. What is the probability that Paul will correctly pick the winner of the Ghana-Bolivia game?

A) 4/9B) 1/9C) 2/3D) 5/3

Q.28. Alok and Bhanu play the following min-max game. Given the expression N = 9 + X + Y – Z where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be

29. 10 suspects are rounded by the police and questioned about a bank robbery. Only one of them is guilty. The suspects are made to stand in a line and each person declares that the person next to him on his right is guilty. The rightmost person is not questioned. Which of the following possibilities are true? A. All suspects are lying or the leftmost suspect is innocent. B. All suspects are lying and the leftmost suspect is innocent . A) B only B) Neither A nor BC) A onlyD) Both A and B

Q.30 The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. As one of the forerunners in the technology front, Tirnop continues to lead the way in products and services in India. At Tirnop, all programmers are equal in every respect. They receive identical salaries ans also write code at the same rate. Suppose 12 such programmers take 12 minutes to write 12 lines of code in total. How long will it take 72 programmers to write 72 lines of code in total?

Q.31.There are two boxes, one containing 10 red balls and the other containing 10 green balls. You are allowed to move the balls between the boxes so that when you choose a box at random and a ball at random from the chosen box, the probability of getting a red ball is maximized. This maximum probability is

Q. 32. If you type in the command nohup sort employees > list 2 > error out & and log off ,the next time you log in, the output will be

a) in a file called list and the error will de typed in a file error outb) there will be no file called list or error outc) error will be logged in a file called list and o/p will be in error outd) you will not be allowed to log ine) none of the above

Q.33. Ram buys a cycle for 31 dollars and given a cheque of amount 35 dollars. Shop Keeper exchanged the cheque with his neighbor and gave change to Ram. After 2 days, it is known that cheque is bounced. Shop keeper paid the amount to his neighbor. The cost price of cycle is 19 dollars. What is the profit/loss for shop keeper?

Ans. is 23(cost price + change given).

Q.34. Metal strip of width ‘x’ cm. 2 metal strips are placed one over the other, then the combine length of 2 strips is ‘y’. If ‘z’ strips are placed in that manner. What is the final width of that arrangement?

Ans. is (z-1) (y-x) +x.

Q.17. A game is played between 2 players and one player is declared as winner. All the winners from first round are played in second round. All the winners from second round are played in third round and so on. If 8 rounds are played to declare only one player as winner, how many players are played in first round

Ans. is 28.

Q.35. There are 3 boys A, B, C and 2 Girls D, E. D always sit right to A. Girls never sit in extreme positions and in the middle position. C always sits in the extreme positions. Who is sitting immediate right to E?

Ans. is B or C

Q.19. 49 members attended the party. In that 22 are males, 17 are females. The shake hands between males, females, male and female. Total 12 people given shake hands. How many such kinds of such shake hands are possible?

Ans. is 12C2

Q.36. Entry ticket to an exhibition ranges from 1p to 31p. You need to provide exact change at the counter. You have 31p coin. In how many parts will u divide 31p so that u will provide the exact change required and carry as less coins as possible?

(a) 22(b) 31(c) 6(d) 32

Ans. is 6

Q.37. There are 2 friends Peter and Paul. Peter age is twice as old as Paul when peter was as old as Paul is now. Sum of the present ages of Peter and Paul is 35.What is the present age of Peter?

Ans. is 20







elcome to TCS Placement Paper November 2010. Here you will find TCS Placement Paper Pattern and Download questions of TCS Placement Paper November 2010 with Answers & Solutions.

TCS Placement Paper November 2010:-

Writen Test:-


a) 6 b)7 c)8 d)9

2. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1 liter every hour in A, it gets filled up like, 10, 20, 40,80, 160…..in tank B. (At the end of first hour, B has 10 liters, second hour it has 20 liters and so on). If tank B is 1/32 filled of the 21 hours, what is total duration of hours required to fill it completely?

a) 26 B)25 c)5 d)27

3. persons standing in queue with different age group, after two years their average age will be 43 and seventh person joined with them. Hence the current average age has become 45. Find the age of seventh person?

a) 43 b)69 c)52 d)31

4. In the reading room of a library, there are 23 reading spots. Each reading spot consists of a round table with 9 chairs placed around it. There are some readers such that in each occupied reading spot there are different numbers of readers. If in all there are 36 readers, how many reading spots do not have even a single reader?

a)8 b)none c)16 d)15

5. A man jogs at 6 mph over a certain journey and walks over the same route at 4 mph. What is his average speed for the journey?

a) 2.4 mph b) 4.8 mph c) 4 mph d) 5 mph

6. (40*40*40 – 31*31*31)/(40*40+40*31+31*31)=?

a)8 b)9 c)71 d)51

7. ((4x+3y)+(5x+9y))/(5x+5y) = ? as (x/2y) = 2

a)8 b)none c)16 d)15

8. A girl has to make pizza with different toppings. There are 8 different toppings. In how many ways can she make pizzas with 2 different toppings?

a)16 b)56 c)112 d)28

9. 3, 22, 7, 45, 15,? , 31

a)91 b)151 c)90 d)5

10. Simple question but big one on average age.sth like a, b, c weighted separately 1st a, b, c ,then a& b, then b &c ,then c & a at last abc, the last weight was 167,then what will be the average weight of the 7 reading?

a)95 b)95.428 c)95.45 d)94

11. A toy train produces 10 different sounds when it moves around a circular toy track of radius 5 m at 10 m per min. However, the toy train is defective and it now produces only 2 different tunes at random. What are the odds that the train produces for consecutive music tones of the same type?

a) 1 in 16 B)1 in 4 c)1 in 8 d)1 in 32

12. A triangle is made from a rope. The sides of the triangle are 25 cm, 11 cm and 31 cm. What will be the area of the square made from the same rope?

a)280.5625 b)240.5625 c)280.125 d)240

13. What is the distance between the z-intercept from the x-intercept in the equation ax+by+cz+d=0

14. What is the distance of the z-intercept from the x-intercept in the equation ax+by+cz=d (I do not remember the values of a, b, c, d).

15. A scientist was researching on animal behavior in his lab. He was very interested in analyzing the behavior of bear. For some reason he travelled 1mile in north direction & reached at North Pole. There he saw a bear. He then followed the bear around 1 hr with a speed of 2km/hr in east direction. After that he travelled in south direction & reached at his lab in2 hrs. Then what is the color of the bear?

a)white b)black c)gray d)brown

16. Out of 7 children the youngest is boy then find the probability that all the remaining children are boys

a)1/64 b)1/32 c)1/128 d)1/256

17. Usha bought a linen cloth and rope to build a tent. If the rope is 153 m long and it is to be cut into pieces of 1m length, then how many cuts are to be made to cut the ropes into 153 pieces?

a)153 b)152 c)154 d)155

18. Spores of a fungus, called late blight, grow and spread infection rapidly. These pathogens were responsible for the Irish potato famine of the mid-19th century. These seem to have attacked the tomato crops in England this year. The tomato crops have reduced and the price of the crop has risen up. The price has already gone up to $45 a box from $27 a box a month ago. How much more would a vegetable vendor need to pay to buy 27 boxes this month over what he would have paid last month?

a) $27 b)$ 18 c)$45 d)$ 486

19. A Person buys a horse for 15 ponds, after one year he sells it for 20 pounds. After one year, again he buys the same horse at 30 pounds and sells it for 40 pounds. What is the profit for that person?

20. John buys a cycle for 31 dollars and given a cheque of amount 35 dollars. Shop Keeper exchanged the cheque with his neighbor and gave change to John. After 2 days, it is known that cheque is bounced. Shop keeper paid the amount to his neighbor. The cost price of cycle is 19 dollars. What is the profit/loss for shop keeper?

a)loss 23 b)gain 23 c)gain 54 d)Loss 54

21. A lady has fine gloves and hats in her closet- 18 blue, 32 red, and 25 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?

a)50 b)8 c)60 d)42

22. Sangakara and Ponting selects batting by using a dice, but dice is biased. So to resolve, Ponting takes out a coin. What is the probability that coin shows correct option?

a)1/2 b)1/6 c)1/12 d)6/10

23. In a family there are some boys and girls. All boys told that they are having equal no of brothers and sisters and girls told that they are having twice the no. of brothers than sisters. How many boys and girls present in a family?

a)4 boys and 3 girls b)3 boys and 4 girls c)2 boys and 5 girls d)5 boys and 2 girls

24. 10men and 10 women are there, they dance with each other, is there possibility that 2 men are dancing with same women and vice versa?

a)22 b)20 c)10 d)none

25. Middle- earth is a fictional land inhabited by hobbits, elves, dwarves and men. The hobbits and elves are

peaceful creatures that prefer slow, silent lives and appreciate nature and art. The dwarves and the men engage in physical games. The game is as follows. A tournament is one where out of the two teams that play a match, the one that loses get eliminated. The matches are played in different rounds, where in every round; half of the teams get eliminated from the tournament. If there are 8 rounds played in knock out tournament, how many matches were played?

a)257 b)256 c)72 d)255


a)256 b)512 c)64 d)128

27.Metal strip of width ‘x’ cm. 2 metal strips are placed one over the other, then the combine length of 2 strips is ‘y’. If ‘z’ strips are placed in that manner. What is the final width of that arrangement?

28. There is 7 friends (A1, A2, A3....A7).If A1 have to have shake with all without repeat. How many handshakes possible?

a)6 b)21 c)28 d)7

29. 49 members attended the party. In that 22 are males, 17 are females. The shake hands between males, females, male and female. Total 12 people given shake hands. How many such kinds of such shake hands are possible?

a)122 b)66 c)48 d)128

30. B is taller than j and 3 pillars. P is shorter than B and 2 pillars is j shorter/taller than P?

a)yes b)no c)may be d)can’t find

31. There are 1000 pillars for a temple. 3 friends Linda, Chelsey, Juli visited that temple. (Some unrelated stuff) Linda is taller than Chelsea and taller than 2 of 1000 pillars. Julia is shorter than Linda. Find the correct sentence?

a) Linda is shorter among themb) Chelsea is taller than Juliac) Chelsea is shorter than Juliad) Cannot determine who is taller among Chelsea and Julia

32.Entry ticket to an exhibition ranges from 1p to 31p. You need to provide exact change at the counter. You have 31p coin. In how many parts will u divide 31p so that u will provide the exact change required and carry as less coins as possible?

a)4 b)5 c)6 d)7

33.Peter and Paul are two friends. The sum of their ages is 35 years. Peter is twice as old as Paul was when Peter was as old as Paul is now. What is the present age of Peter?

a)8 b)20 c)16 d)15

34. 20 men handshake with each other without repetition. What is the total number of handshakes made?

a)190 b)210 c)150 d)250

35. 10 people are there, they are shaking hands together, how many hand shakes possible, if they are in no pair of cyclic sequence.

a)45 b)9 c)12 d)10

36. If there are 2 wheelers and 4 wheelers parked in a school located at the heart of the city, find the number of 4 wheelers parked there if there were 20 two wheelers parked there

a)48 b)50 c)52 d)64

37. If there are 2 wheelers and 4 wheelers parked in a school located at the heart of the city, find the number of 4 wheelers parked there if there were 58 wheels are parked there

a)10 b)33 c)22 d)none

38. A man whose age is 45 yrs has 3 sons named John, Jill, jack. He went to a park weekly twice. He loves his sons very much. On a certain day he found the shop keepers selling different things. An apple cost 1penny, 2chocalate costs 1penny & 3 bananas cost 1 penny. He has bought equal number of apple, chocolate & banana for each son. If the total amount he invest is 7 penny then how many he has bought from each piece for his son?

a)1app,1cho,1 banana b)1 app,2cho,3 banana c)1app,2cho,1banana

39. One person had three children. He had 7 pennies. Find the distribution of the fruits among the three children. A melon costs 1 penny, 2 oranges cost 1 penny and 3 grapes cost 1 penny

a)2 melons, 1 orange, 1 grape b) 2 melons, 2 orange, 1 grape c) 1 melons, 2 orange, 1 grape.

40. The age of the two friends were in the ration of 6:5.If the sum of their ages is 55.Then after how many years their ratio will become 8:7?

a)11 b)7 c)10 d)12

TCS Placement Paper December 2010:-

Writen Test:-

Q 1: There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1 liter every hour in A, it gets filled up like, 10, 20, 40,80, 160…..in tank B. 1/8 th of the tank B is filled in 22 hours. What is the time to fill the tank fully?

a) 26(b) 25(c) 5(d) 27

Ans: 22+log 2 base 8=22+4=26

Note: The question arise more than 1 time.

Ques 2: A sheet of paper has statements numbered from 1 to 70. For all values of n from 1 to 70. Statement n says 'At least n of the statements on this sheet are false.' Which statements are true and which are false?(a) The even numbered statements are true and the odd numbered are false.(b) The odd numbered statements are true and the even numbered are false.(c) The first 35 statements are true and the last 35 are false.(d) The first 35 statements are false and the last 35 are false.

Ans. c

Note: For this type of Questions, follow this:--At least- I'st half are true, Last half are false--Exactly- Last second one is true or (N-1)th Statement is true--Almost- All are true.

Ques 3: Unnecessary data. A lady has fine gloves and hats in her closet- 18 blue- 32 red , 10 white , 25 yellow, 55 purple, 30 orange. The lights are out and it is totally dark in spite of the darkness. She can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color of blue, red, yellow?

(a) 59(b) 8(c) 50(d) 42

Ans: a(32+25+2)

Note: For this type of questions:Bigger+Middle+1 (Suppose 18, 32, 25 =32+25+1), If you do not find answer in options, choose the one closer those the answer you got.

Ques4: The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. As one of the forerunners in the technology front, Tirnop continues to lead the way in products and services in India. At Tirnop, all programmers are equal in every respect. They receive identical salaries and also write code at the same rate. Suppose 12 such programmers take 12 minutes to write 12 lines of code in total. How long will it take 72 programmers to write 72 lines of code in total?

For this type question you should follow d step of basic math that will helpful you get enough time from that.12 prog 12 line 12 min1 prog 12 line 12*121 1 12*12/1272 1 12*12/(12*72)72 72 12*12*72/(12*72)

Ans:12

Note: This question appears 3 times in our question but app is different please follow basic rule think it it is very very easy.

Ques 5: 12 people {a1, a2, …, a12} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, …, {a11, a12}, {a12, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is

(a) 12(b) 4(c) 18(d) 11Ans. B (N/3)

Ques 6: 10 suspects are rounded by the police and questioned about a bank robbery. Only one of them is guilty. The suspects are made to stand in a line and each person declares that the person next to him on his right is guilty. The rightmost person is not questioned. Which of the following possibilities are true?A. All suspects are lying.B. leftmost suspect is innocent.C. leftmost suspect is guilty

(a) A only(b) A or C(c) A or B(d) B only

Ans. c

Note: Remember it I don't know the logic

Ques 7: Alok and Bhanu play the following min-max game. Given the expression N = 15 + X*(Y – Z) Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be?Ans. 15+18 =33Note: For this type of questions:x+y-z=11x-y-z=2x*(y+z)=18

Ques 8: How many four digit numbers can be formed using the digits 1, 2, 3, 4, 5 (but with repetition) that are divisible by 4? Can you help Alok find the answer?

(a) 100(b) 125(c) 75(d) 85

Ans:. 5^n-1= 5^4-1=125, n= no of digits

Ques 9 )The age of the two friends were in the ration of 6:5.If the sum of their ages is 66.Then after how many years their ratio will become 7:6?

a)11 b)6 c)10 d)12

Ques 10) The age of the two friends were in the ration of 2:3.If the sum of their ages is 55.Then after how many years their ratio will become 4:5?

a)11 b)33 c)22 d)44

Ques 11)A volume of 10936 l water is in a container of sphere.How many semisphere of volume 4l each will be required to tranfer all the water into the small semispheres?

a)2812 b)8231 c)2734 d)4222

Ques 12)A person ismanufacturing a house.He bought 20 ropes of wire which has a density of 300 Kg/m3.The height of the building to be constructed is 40 m.If the capacity of the current passed in the wire is 20 A and the voltage capacity is 80 Volts.Then what will be the opposing force to the current if the wire is used ?

a)2 b)4 c)8 d)1600

Ques 13)A horse chases a pony 2 hours after the pony runs.Horse takes 3 hours to reach the pony.If the average speed of the horse is 81Kmph.Then what is the average speed of the pony?

a)46.4 b)51 c)53.4 d)48.6

Ques 14)The difference between two no is 9 and the product of the two is 14.What is the square of their sum?

a)120 b)130 c)137 d)145

Ques 15) On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula d = 4*√ (t-9) for t ≥ 9 where d represents the diameter in mm and t the number of years since the solar blast.Jagan recorded the radius of some echina at a particular spot as 7mm. How many years back did the solar blast occur?

a) 17 b)21.25 c)12.25 d)14.05

Ques 16)A man goes 50Km north , then turned left walked 40Km, then turned right ? In which direction he is?

a)North b)South c)East d)West

Ques 16)In T.Nagar the building were numbered from 1 to 100.Then how many 4’s will be present in the numbers?

a)18 b)19 c)20 d)21

Ques 17)In T.Nagar the building were numbered from 1 to 100.Then how many 6’s will be present in the

numbers?

a)18 b)19 c)20 d)21


a)18 b)19 c)20 d)21


a)18 b)19 c)20 d)11

Ques 20) Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Ferrari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success .Rohit once bought a Ferrari. It could go 4 times as fast as Mohan's old Mercedes. If the speed of Mohan's Mercedes is 35 km/hr and the distance traveled by the Ferrari is 490 km, find the total time taken for Rohit to drive that distance.

20.72 b) 5.18 c) 238.25 d) 6.18

Ques 21) A sheet of paper has statements numbered from 1 to 70. For all values of n from 1 to 70. Statement n says ' At least n of the statements on this sheet are false. ‘Which statements are true and which are false?

a) The even numbered statements are true and the odd numbered are false.b) The odd numbered statements are true and the even numbered are false.c) The first 35 statements are true and the last 35 are false.d) The first 35 statements are false and the last 35 are false.

Ques 22) A man goes north 37km.turns left goes 2km.turns right goes 17km.turns right goes 2km. find distance b/w starting ending point.

a) 54 b) 27 c) 81 d) 67

Ques 23) If there are 30 cans out of them one is poisoned if a person tastes very little he will die within 14 hours so if there are mice to test and 24 hours to test, how many mices are required to find the poisoned can?

a) 3 b) 2 c) 6 d) 1

Ques 24) If a and b are mixed in 3:5 ration and b and c are mixed in 8:5 ration if the final mixture is 35 liters, find the amount of b?

A) 13.34 b) 15.73 c) 16.73 d) 9.45

Ques 25) If we subtract a number with y, we get 4 increase of number, once it got divided by y itself... Find that number??

A) 13 b) 12 c) 14 d) 11

Ques 26) It is the class with the seating arrangement in 4 rows and 8 columns. When the teacher says 'start' the girl who is sitting in first row and first column will say 1, then the next girl sitting behind her will say 4, the next girl sitting behind that girl will say 7, in a particular order each girl is telling a number, the following girls told 10, 13 next turn is yours what u will say?

a) 15 b) 17 c) 14 d) 16

Ques 27) It is dark in my bedroom and I want to get two socks of the same color from my drawer, which contains 24 red and 24 blue socks. How many socks do I have to take from the drawer to get at least two socks of the same color?

A) 2 b) 3 c) 48 d) 25

Ques 28) If the Valentine’s Day in 2005 falls on Monday, then on which day will the Valentine’s Day fall on 2010?

A) Saturday b) Thursday c) Wednesday d) Sunday

Ques 29). A person run from A to B.He took ¼ of the time less to reach B when compare to run at normal Speed.Then how many percentage he has increased his speed?

a)40 b)44.4 c)33.3 d)22.2

Ques 30). An athlete decides to run the same distance in 1/4th less time that she usually took. By how much percent will she have to increase her average speed?

a)40 b)44.4 c)33.3 d)22.2

Ques 31). In a building there are 5 rooms.Each having a equal area .The length of the room is 4m and breadht is 5 m.The height of the rooms are 2m.If 17 bricks are needed to make a square meter then how many bricks are needed to make the floor of a particular room?

a)320 b)380 c)340 d)300

Ques 32). One man want to build a wall .The length and breadth of the wall are 20 and 30 respectively. He need 35 bricks for one square centimeter then how many bricks he need?

a)21,500 b)30,000 c)21,000 d)20,000

Ques 33). In a hotel we can order two types of varities,but we can make 6 more variteis in home.One can choose the four varities with two from hotel as must.Find how many ways one can order.

a)14 b)15 c)56 d)28

Ques 34). If a pipe can fill the tank within 6hrs.But due to leak it takes 30 min more.Now the tank is full then how much time will it take to empty the tank throught the leak.?

a)78 b)56 c)66 d)59

Ques 35).The bacteria has the probability of split into 3 and probability to die is 1/3rd of the total

bacteria.Let the probability is P.Some of them survived with probability 1/5.Then which among the following relation is true?a)P=1/3+1/5*3 b)P=1/5*(1/8-3)

Ques 36). There is a bacteria which has the probability of die 1/3 of its total number or it may tripled. Find out the probability

A. P=1/3+(2/3*p^3) B. P=2/3+(2/3*p^3) C. P=2/3+(1/3*p^3) D P=2/3+(2/3*p^3)

Ques 37) In T.Nagar the building were numbered from 1 to 100.Then how many 4’s will be present in the numbers?

a)18 b)19 c)20 d)21

Ques 38)Amrith told to Anand in front of a Photo that “He is the son of my father’s son”.Find who is in the picture if amrith have no brothers and sisters.

a)Amrith himself b)Amrith’s Uncle c)Amrith’s Father d)Amrith’s son

Ques 39) One person has no siblings and says,” the guy in the photo is the only son of my father ‘s son”. What is the relation of the guy to the person?

Ques 40) One grand father has 3 grand children two of the age difference is 3.Eldest child age is 3 times the youngest childs age and the eldest child age is two year more than the sum of other two children. Find what is the age of the elders child?

a)18 b)22 c)30 d)10.

Welcome to TCS Placement Paper January 2011. Here you will find TCS Placement Paper Pattern and Download questions of TCS Placement Paper January 2011 with Answers & Solutions.

TCS Placement Paper January 2011:-

Writen Test:-


a) 6b) 7c) 8d) 9

2. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1 liter every

hour in A, it gets filled up like, 10, 20, 40,80, 160..in tank B. (At the end of first hour, B has 10 liters, second hour it has 20 liters and so on). If tank B is 1/32 filled of the 21 hours, what is total duration of hours required to fill it completely?

a) 26B) 25c) 5d) 27

3. Smita was making a cube with dimensions 5*5*5 using 1*1*1 cubes. What is the number of cubes needed to make a hollow cube looking of the same shape?

a) 98b)104c)100d) 61

4. A lady has fine gloves and hats in her closet- 25blue, 7 red, and 9 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?


a) 256b) 512c) 64d) 128

6. 1. There is 7 friends (A1, A2, A3....A7).If A1 have to have shake with all without repeat. How many handshakes possible?a) 6b) 21c) 28d) 7

7. On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula d = 4*√ (t-9) for t ≥ 9 where d represents the diameter in mm and t the number of years since the solar blast. Jagan recorded the radius of some echina at a particular spot as 7mm. How many years back did the solar blast occur?

a) 17b) 21.25c) 12.25d) 14.05

8. Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers and manufactured race cars before moving into

production of street-legal vehicles in 1947 as Ferrari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success .Rohit once bought a Ferrari. It could go 4 times as fast as Mohan's old Mercedes. If the speed of Mohan's Mercedes is 35 km/hr and the distance traveled by the Ferrari is 490 km, find the total time taken for Rohit to drive that distance.

a) 20.72b) 5.18c) 238.25d) 6.18

9. A sheet of paper has statements numbered from 1 to 70. For all values of n from 1 to 70. Statement n says ' At least n of the statements on this sheet are false. ‘Which statements are true and which are false?

a) The even numbered statements are true and the odd numbered are false.b) The odd numbered statements are true and the even numbered are false.c) The first 35 statements are true and the last 35 are false. d) The first 35 statements are false and the last 35 are false.

10. 3 persons a, b ,c were there A always says truth lies on Monday, Tuesday,& Wednesday. but C lies on thrusday, Friday & Saturday .one day A said" that B & C said to A that” B said “yesterday way one of the days when I lies”, C said that” yesterday way one of the days when I lies too". then which day was that?a) Sundayb) Thursdayc) Saturdayd) Tuesday


12. Alice and Bob play the following coins-on-a-stack game. 20 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top by repeatedly moving the topmost coin to another position in the stack. Alice starts and the players take turns. A turn consists of moving the coin on the top to a position i below the top coin (0 ≤ i ≤ 20). We will call this an i-move (thus a 0-move implies doing nothing). The proviso is that an i-move cannot be repeated; for example once a player makes a 2-move, on subsequent turns neither player can make a 2-move.If the gold coin happens to be on top when it's a player's turn then the player wins the game. Initially, the gold coins the third coin from the top. Then:-

A) In order to win, Alice's first move should be a 0-move.B) In order to win, Alice's first move can be a 0-move or a 1-move.C) In order to win, Alice's first move should be a 1-move.D) Alice has no winning strategy.

13. For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A's chances of winning. Let's assume such rumors to be true and that in a match between Ghana and Bolivia, Ghana the stronger team has a probability of 2/3 of winning the game. What is the probability that Paul will correctly pick the winner of the Ghana-Bolivia game?A) 4/9B) 1/9

C) 2/3D) 5/3

14. Alok and Bhanu play the following min-max game. Given the expression N = 9 + X + Y – Z where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be

15. 10 suspects are rounded by the police and questioned about a bank robbery. Only one of them is guilty. The suspects are made to stand in a line and each person declares that the person next to him on his right is guilty. The rightmost person is not questioned. Which of the following possibilities are true?

A. All suspects are lying or the leftmost suspect is innocent. B. All suspects are lying and the leftmost suspect is innocent .

A) B only B) Neither A nor BC) A onlyD) Both A and B

16. The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. As one of the forerunners in the technology front, Tirnop continues to lead the way in products and services in India. At Tirnop, all programmers are equal in every respect. They receive identical salaries ans also write code at the same rate. Suppose 12 such programmers take 12 minutes to write 12 lines of code in total. How long will it take 72 programmers to write 72 lines of code in total?

17. There are two boxes, one containing 10 red balls and the other containing 10 green balls. You are allowed to move the balls between the boxes so that when you choose a box at random and a ball at random from the chosen box, the probability of getting a red ball is maximized. This maximum probability is

18. One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child’s age and eldest child’s age is two times of sum of other two children. What is the age of eldest child?

19. In a school, for a student out of 100 he got 74 of average for 7 subjects and he got 79 marks in the 8th subject. what is the average of all the subject?

a)76.251 b)80.25 c)74.265 d)74.625

20. 3 persons a,b,c were there A always says truth,B lies on Monday,tusday,& Wednesday.but C lies on thrusday,Friday & saturday .one day A said”that B & C said to A that” B said “yesterday way one of the days when I lies”,C said that”yesterday way one of the days when I lies too”.then which day was that?a)Sunday b)Thursday c)Saturday d)Tuesday

21. Which is the smallest no which divides 2880 and gives a perfect square?

a)4 b)9 c)3 d)5

22. How many 9 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if the

repetition is allowed?

a)57 b)56 c)59 d)58

23. how many 13 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if repetition of digits is allowed?


25. Form 8 digit numbers from by using 1, 2,3,4,5 with repetition is allowed and must be divisible by4?

26. How many of 14 digit numbers we can make with 1,2,3,4,5 that are divisible by 4. Repetitions allowed.

27. Six friends decide to share a big cake. Since all of them like the cake, they begin quarreling who gets to first cut and have a piece of the cake. One friend suggests that they have a blindfold friend choose from well shuffled set of cards numbered one to six. You check and find that this method works as it should simulating a fair throw of a die. You check by performing multiple simultaneous trials of picking the cards blindfold and throwing a die. You note that the number shown by the method of picking up a card and throwing a real world die, sums to a number between 2 and 12. Which total would be likely to appear more often – 8,9 or 10?

a) 8 b)All are equally likely c)9 d)10

28. Given a collection of points P in the plane , a 1-set is a point in P that can be separated from the rest by a line, .i.e the point lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n1(P). The minimum value of n1(P) over all configurations P of 5 points in the plane in general position (.i.e no three points in P lie on a line) is

29. Jagan recorded the radius of some echina at a particular spot as 12mm. How many years back did the solar blast occur?

(a) 17(b) 21.25(c) 12(d) 12.06Ans. c

30. Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari , the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Feraari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success. Rohit once bought a Ferrari . It could go 4 times as fast as Mohan's old Mercedes. If the speed of Mohan's Mercedes is 46 km/hr and the distance traveled by the Ferrari is 953 km, find the total time taken for Rohit to drive that distance.

(a) 20.72(b) 5.18(c) 238.25(d) 6.18

Ans. b

31. A sheet of paper has statements numbered from 1 to 70. For all values of n from 1 to 70. Statement n says 'At least n of the statements on this sheet are false.' Which statements are true and which are false?


Ans. c

Note: For this type of Questions, follow this:At least- Ist half are true, Last half are falseExactly- Last second one is true or (N-1)th Statement is trueAlmost- All are true.






(a) 59(b) 8(c) 50(d) 42Ans. a(32+25+2)Note: For this type of questions:Bigger+Middle+1 (Suppose 18, 32, 25 =32+25+1), If you do not find answer in options, choose the one

closer tho the answer you got.

35. The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. As one of the forerunners in the technology front, Tirnop continues to lead the way in products and services in India. At Tirnop, all programmers are equal in every respect. They receive identical salaries and also write code at the same rate. Suppose 12 such programmers take 12 minutes to write 12 lines of code in total. How long will it take 72 programmers to write 72 lines of code in total?


36. The citizens of planet nigiet are 6 fingered and have thus developed their decimal system in base 6. A certain street in nigiet contains 1000 (in base 8) buildings numbered 1 to 1000. How many 3s are used in numbering these buildings?


37.12 people {a1, a2, …, a12} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, …, {a11, a12}, {a12, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is

(a) 12(b) 4(c) 18(d) 11Ans. B (N/3)

38. Alice and Bob play the following coins-on-a-stack game. 100 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top by repeatedly moving the topmost coin to another position in the stack.Alice starts and the players take turns. A turn consists of moving the coin on the top to a position i below the top coin (0 = i = 100). We will call this an i-move (thus a 0-move implies doing nothing). The proviso is that an i-move cannot be repeated; for example once a player makes a 2-move, on subsequent turns neither player can make a 2-move.If the gold coin happens to be on top when it’s a player’s turn then the player wins the game.


Ans. D

39. people meet and shake hands. The maximum number of handshakes possible if there is to be no “cycle” of handshakes is (A cycle of handshakes is a sequence of k people a1, a2, ……, ak (k > 2) such that the pairs {a1, a2}, {a2, a3}, ……, {ak-1, ak}, {ak, a1} shake hands).

(a)7(b) 6(c) 9(d) 8

Ans. c **(N-1)**

40. Amal bought 5 pens, 7 pencils and 4 erasers. Rajan bought 6 pens, 8 erasers and 14 pencils for an amount which was half more than what Amal had paid. What % of the total amount paid by Amal was paid for pens?

a) 37.5% b) 62.5%c) 50%d) None of these

1. There are seventy clerks working in a company, of which 30 are females. Also, 30 clerks are married; 24 clerks are above 25 years of age; 19 married clerks are above 25 years, of which 7 are males; 12 males are above 25 years of age; and 15 males are married. How many bachelor girls are there and how many of these are above 25?

2. A man sailed off from the North Pole. After covering 2,000 miles in one direction he turned West, sailed 2,000 miles, turned North and sailed ahead another 2,000 miles till he met his friend. How far was he from the North Pole and in what direction?

3. Here is a series of comments on the ages of three persons J, R, S by themselves.

S : The difference between R’s age and mine is three years.J : R is the youngest.R : Either I am 24 years old or J 25 or S 26.J : All are above 24 years of age.S : I am the eldest if and only if R is not the youngest.R : S is elder to me.J : I am the eldestR : S is not 27 years old.S : The sum of my age and J’s is two more than twice R’s age.One of the three had been telling a lie throughout whereas others had spoken the truth. Determine the ages of S,J,R.

4. In a group of five people, what is the probability of finding two persons with the same month of birth?

5. A father and his son go out for a ‘walk-and-run’ every morning around a track formed by an equilateral triangle. The father’s walking speed is 2 mph and his running speed is 5 mph. The son’s walking and running speeds are twice that of his father. Both start together from one apex of the triangle, the son going clockwise and the father anti-clockwise. Initially the father runs and the son walks for a certain period of time. Thereafter, as soon as the father starts walking, the son starts running. Both complete the course in 45 minutes. For how long does the father run? Where do the two cross each other?

6. The Director of Medical Services was on his annual visit to the ENT Hospital. While going through the out patients’ records he came across the following data for a particular day : ” Ear

consultations 45; Nose 50; Throat 70; Ear and Nose 30; Nose and Throat 20; Ear and Throat 30; Ear, Nose and Throat 10; Total patients 100.” Then he came to the conclusion that the records were bogus. Was he right?

7. Amongst Ram, Sham and Gobind are a doctor, a lawyer and a police officer. They are married to Radha, Gita and Sita (not in order). Each of the wives have a profession. Gobind’s wife is an artist. Ram is not married to Gita. The lawyer’s wife is a teacher. Radha is married to the police officer. Sita is an expert cook. Who’s who?

8. What should come next?1, 2, 4, 10, 16, 40, 64,Questions 9-12 are based on the following : Three adults – Roberto, Sarah and Vicky – will be traveling in a van with five children – Freddy, Hillary, Jonathan, Lupe, and Marta. The van has a driver’s seat and one passenger seat in the front, and two benches behind the front seats, one beach behind the other. Each bench has room for exactly three people. Everyone must sit in a seat or on a bench, and seating is subject to the following restrictions: An adult must sit on each bench. Either Roberto or Sarah must sit in the driver’s seat. Jonathan must sit immediately beside Marta.

9. Of the following, who can sit in the front passenger seat ?(a) Jonathan (b) Lupe (c) Roberto (d) Sarah (e) Vicky

10. Which of the following groups of three can sit together on a bench?(a) Freddy, Jonathan and Marta (b) Freddy, Jonathan and Vicky(c) Freddy, Sarah and Vicky (d) Hillary, Lupe and Sarah(e) Lupe, Marta and Roberto

11. If Freddy sits immediately beside Vicky, which of the following cannot be true ?a. Jonathan sits immediately beside Sarahb. Lupe sits immediately beside Vickyc. Hillary sits in the front passenger seatd. Freddy sits on the same bench as Hillarye. Hillary sits on the same bench as Roberto

12. If Sarah sits on a bench that is behind where Jonathan is sitting, which of the following must be true ?a. Hillary sits in a seat or on a bench that is in front of where Marta is sittingb. Lupe sits in a seat or on a bench that is in front of where Freddy is sittingc. Freddy sits on the same bench as Hillaryd. Lupe sits on the same bench as Sarahe. Marta sits on the same bench as Vicky

13. Make six squares of the same size using twelve match-sticks. (Hint : You will need an adhesive to arrange the required figure)

14. A farmer has two rectangular fields. The larger field has twice the length and 4 times the width of the smaller field. If the smaller field has area K, then the are of the larger field is greater than the area of the smaller field by what amount?(a) 6K (b) 8K (c) 12K (d) 7K

15. Nine equal circles are enclosed in a square whose area is 36sq units. Find the area of each circle.

16. There are 9 cards. Arrange them in a 3*3 matrix. Cards are of 4 colors. They are red, yellow, blue, green. Conditions for arrangement: one red card must be in first row or second row. 2 green cards should be in 3rd column. Yellow cards must be in the 3 corners only. Two blue cards must be in the 2nd row. At least one green card in each row.

17. Is z less than w? z and w are real numbers.(I) z2 = 25(II) w = 9To answer the question,a) Either I or II is sufficientb) Both I and II are sufficient but neither of them is alone sufficientc) I & II are sufficientd) Both are not sufficient

18. A speaks truth 70% of the time; B speaks truth 80% of the time. What is the probability that both are contradicting each other?

19. In a family 7 children don’t eat spinach, 6 don’t eat carrot, 5 don’t eat beans, 4 don’t eat spinach & carrots, 3 don’t eat carrot & beans, 2 don’t eat beans & spinach. One doesn’t eat all 3. Find the no. of children.

20. Anna, Bena, Catherina and Diana are at their monthly business meeting. Their occupations are author, biologist, chemist and doctor, but not necessarily in that order. Diana just told the neighbour, who is a biologist that Catherine was on her way with doughnuts. Anna is sitting across from the doctor and next to the chemist. The doctor was thinking that Bena was a good name for parent’s to choose, but didn’t say anything. What is each person’s occupation?

2. Personal Interview

Written Test:

1) For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A's chances of winning.Let's assume such rumors to be true and that in a match between X and Y, X the stronger team has a probability of 4/5 of winning the game. What is the probability that Paul will correctly pick the winner of the X-Y game?Ans: ((4/5)^2+(1-1/5)^2)

2) A circular dart board of radius 1 foot is at a distance of 20 feet from you. You throw a dart at it and it hits the dartboard at some point X in the circle. What is the probability that X is closer to the center of the circle than the periphery?Ans: pi(r/2)^2/pi(r)^2=.25

3) Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, What is the number of points equidistant from all the 3 lines?Ans: here ans will be 4 because in question it is given as 3 line.but in case of 3line segment ans will b 1.

4)36people {a1, a2, ..., a36} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, ... , {a35, a36}, {a36, a1}. Find the size of the smallest set of people such that the rest have shaken hands with at least one person in the set.Ans: (2,5,8,11,14,,17,20,23, 26,29,32,35) so there are 12 handshake possible or simply N/3=36/3=12.

5)After the typist writes 12 letters and addresses 12 envelopes, he inserts 1 letter per envelope randomly into the envelopes. What is the probability that exactly 1 letter is inserted in an improper envelope?Ans:0.

6) A sheet of paper has statements numbered from 1 to 35. For all values of n from 1 to 35, statement n says "At most n of the statements on this sheet are false". Which statements are true and which are falseAns: this type f question very important in my set it come 4 times. The simple solution is thatfor-Exactly -the (n-1) statement s true and left r falseAt least-the first half statements r true & rest r falseAlmost-all the statements r true.

7) Given a collection of points P in the plane, a 1- set is a point in P that can be separated from the rest by a line; i.e. the point lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n1(P). Find the maximum value of n1(P) over all configurations P of 10 points in the plane.Ans:10

8) A and B play the following min-max game. Given the expressionN = 12 + X*(Y - Z)where X, Y and Z are variables representing single digits (0 to 9), "A" would like to maximize N while "B" would like to minimize it. Towards this end, "A" chooses a single digit number and "B" substitutes this for a variable of her choice (X, Y or Z). "A" then chooses the next value and "B", the variable to substitute the value. Finally "A" proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would beAns: here also a rule s there.For X-Y-Z=2,X+Y-Z=11,X*(Y-Z)=18X*(Y+Z)=18,in my set these type f question repeat 2times.

9) 1/3 of a number is 6 more than 1/6 of the same number. What is the number?Ans:36

10) Two pipes A and B fill at A certain rate B is filled at 10,20,40,80,. If 1/16 of B if filled in 17 hours what time it will take to get completely filled.

Ans: For data structure type f question simply find 16 prime factor how many 2s r coming count dn add it wth givn 17 hr.so here ans s 21.

11) On planet Corba, a solar blast has melted the ice caps on its equator. 8 years after the ice melts, tiny plantoids called echina start growing on the rocks. echina grows in the form of a circle and the relationship between the diameter of this circle and the age of echini is given by the formulad = 4 * (t - 8) for t â‰¥ 8where d represents the diameter in mm and t the number of years since the solar blast.If you record the radius of some echina at a particular spot as 8mm. How many years back did the solar blast occur?Ans: Put the value f d=2*8=16.

12) Alice and Bob play the following coins-on-a-stack game. 20 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top by repeatedly moving the topmost coin to another position in the stack. Alice starts and the players take turns. A turn consists of moving the coin on the top to a position i below the top coin (0 = i = 20). We will call this an i- move (thus a 0- move implies doing nothing). The proviso is that an i-move cannot be repeated; for example once a player makes a 2- move, on subsequent turns neither player can make a 2-move. If the gold coin happens to be on top when it's a player's turn then the player wins the game. Initially, the gold coinis the third coin from the topAns: for winning player should move 1 at first.

13) There are certain number of hats and gloves in a box. They are of 41 red, 23 green, 11 orange. Power gone. But a woman can differentiate between hats and gloves.How many draws are required to obtain a pair of each color.Ans: For data structure question simply add larger one+middle1+2

14) 20 people meet and shake hands. The maximum number of hand shakes possible if there is to be no ‘cycle’ of handshakes is( a cycle of handshake is a sequence of people a1,a2, …..ak)such that people(a1,a2),(a2,a3)…..(a(k- 1),ak),(a2,a1) shake hand isAns: for cyclic d formula s ( n-1) for non-cyclic d formula s nc2. here it s cyclic.

16) The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. As one of the forerunners in the technology front, Tirnop continues to lead the way in products and services in India. At Tirnop, all programmers are equal in every respect. They receive identical salaries ans also write code at the same rate. Suppose 12 such programmers take 12 minutes to write 12 lines of code in total. How many lines of code can be written by 72 programmers in 72 minutes?Ans: Here lso has simple solution if question ask to find no. f mint & no. of programmer ans will be first 1 i.e here it will be 12. and if question asked to find no. of line formula will be-12*72* 72/(12*12)

I get data Structure type of question 3 times.At last i want to suggest please visit all the TCS aptitude question website and also placement puzzle, math's.In our college cut off was 33 and i attempt34 and all was right.

2) Personal Interview Round

1) Tell me about yourself2)As i was electrical engineering student so HR asked some basic thing from core subject like. in tower hw d light is controlled and earthing.3) From data structure he asked bubble sorting, Fibonacci program to write, what s http., how many protocols r there.

4) Now he asked some HR type question like as u r coming 4m where, why do u want to shift your career from core to software.5)Asked me about my project.6)Weakest and strength point7)Asked if in a office if u r appointed where every1 knows Hindi but u don't known Hindi hw will u communicate with them8)And so more i forget some of them .my interview was for 1/2 hr.

Exam/Interview Date: 13, January 2011.No of Rounds: Aptitude Test, Technical Round-1, Personal InterviewLocation: KolkataContributor Name: JR

Hello friends, This is Saurabh I am a student in electronics and communication at Gyan Ganga Institute of Technology and Sciences Jabalpur. In our college there was a TCS campus at 24th January 2011.the campus was being conducted in three phases. The first phase was the written round which was online written test. The next two rounds was conducted on 25th January 2011.The second phase was the TECHNICAL INTERVIEW (the most important interview) .The third phase was the HR round. In our college a total of 278 students were eligible for written. Out of which 245 students cleared the written test and reached the next phase of technical interview.

The online written paper for the TCS is given below:1. The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion.As one of the forerunners in the technology front,Tirnop continues to lead the way in products and services in India.At Tirnop,all programmer are equal in every respect.they receive identical salaries ans also write code at the same rate.suppose 12 such programmers take 12 minutes to write 12 lines of code in total.how long will it take 72 programmer to write 72 lines of code in total?(a) 72(b) 12(c) 6(d) 18

2. Ferrari S.p.A. is an Italian sports car manufactured based in Maranello, Italy.Founded by Enzo Ferrari in 1928 as scuderia Ferrari,the company sponsered drivers and manufactured race cars before moving into production of street legal vehicles in 1947 as Ferrari S.p.A. throught its history,the company has been noted for its continued participation in racing,especially in Formula one,where it has enjoyed great success.Rohit once bought a Ferrari.It could go 2 times as fast as Mohit's old Mercedes.if the speed of Mohit's Mercedes is 32km/hr and the distance travelled by the Ferrari is 952 km, find the total time taken for Rohit to drive that distance.(a) 15.88(b) 14.88

(c) 476(4) 29.75

3. A hare and tortoise have a race along a circle of 100 yards diameter. the tortoise goes in one direction and the hare in the other.the hare starts after the tortoise has covered 1/5 of its distance and that too leisurely. the hare and tortoise meet when the hare has covered only 1/8 of the distance.by what factor should the hare increase its speed so as to tie the race?(a) 8 (b) 40(c) 37.80(4) 5

NOTE: The trick for this question is that the answer with the decimal is wright because the software has some flaw which gives a decimal in this question. But it’s not with other questions.

4. There are two water tanks A and B,A is much smaller than B.while water fills at the rate of one litre every hour in A,it gets filled up like 10,20,40,80,160...in tank B.(at the end of first hour,B has 10 litre.second hour it has 20,and so on).if 1/32 of B's volume is filled after 3 hours,what is the total duration required to fill it completely?(a) 10 hours(b) 9 hours (c) 8 hours(d) 7 hours

5. Alok and Bhanu play the following min-max game. Given the expression.N = 12+X*(Y-Z) Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be - 2-699330

NOTE: The trick for the answer is that remember three formulaes for this kind of question:X+Y-Z =11;X-Y-Z=2;X*(Y-Z)=18Directly put the value and find the answer

6. A Sheet of paper has statements number from 1 to 20.Statement n says "At least n of the statements on this sheet are true".which statements are true and which are false.a.The even no statements are true and the odd no statements are false.b. The 1st 13 statements are false and rest are true.c. The 1st 6 statements are true and rest are falsed. The odd no statements are true and even no. are false.

7. On the planet Oz, there are 8 days in a week- Sunday to Saturday and another day called Oz day. There are 36 hours in a day and each hour has 90 min while each minute has 60 sec. As on earth, the hour hand covers the dial twice every day.Find the approximate angle between the hands of a clock on Oz when the time is 12:40 am.

8. Form 8 digit numbers from by using 1, 2,3,4,5 with repetition is allowed and must be divisible by 4.

9. Subha Patel is an olfactory scientist working for International Flavors and Fragrances. She specializes in finding new scents recorded and reconstituted from nature thanks to Living Flower Technology. She has extracted fragrance ingredients from different flowering plants into bottles labeled herbal, sweet, honey, anisic and rose. She has learned that a formula for a perfume is acceptable if and only if it does not violate any of the rules listed: If the perfume contains herbal, it must also contain honey and there must be twice as much honey as herbal. If the perfume contains sweet, it must also contain anisic, and the amount of anisic must equal the amount of sweet. honey cannot be used in combination with anisic. anisic cannot be used in combination with rose. If the perfume contains rose, the amount of rose must be greater than the total amount of the other essence or essences used. Which of the following could be added to an unacceptable perfume consisting of two parts honey and one part rose to make it acceptable?a. Two parts roseb. One part herbalc. Two parts honeyc. One part sweet

10. A sheet of paper has statements numbered from 1 to 40. For each value of n from 1 to 40, statement n says "At least and of the statements on this sheet are true." Which statements are true and which are false?a) The even numbered statements are true and the odd numbered are false.b) The first 26 statements are false and the rest are true.c) The first 13 statements are true and the rest are false.d) The odd numbered statements are true and the even numbered are false.

11.( There was a very big question which was having no meaning)There is Ferarri and a Benz car.Benz speed is 10km/h and it covers 10 km. if the Ferarri goes 3 times faster than benz,in how much time Ferarri would take to cover the same distance??

12. (some nonsense paragraph)there are 60 barreals are there and one is poisoned. If a drop is consumed he will die in 14 hrs then how many least mice are required to find the poisoned barreal?if we have only 24 hour.

13. A sheet of paper has statements numbered from 1 to 70. For all values of n from 1 to 70. Statement n says ' At least n of the statements on this sheet are false. ' Which statements are true and which are false?

a) The even numbered statements are true and the odd numbered are false.b) The odd numbered statements are true and the even numbered are false.c) The first 35 statements are true and the last 35 are false.d) The first 35 statements are false and the last 35 are false.

14. the citizen of planet OZ are 6 fingered and they developed the number system in base 6.A certain street in OZ has 1000 buildings and they are numbered 1 to 1000.How many no. of 3's are used?Express your answer in base 10.a. 144b. 54c. 108d. 36

15. A hallow cube of 5cm is taken, with thickness of 1 cm.It is made of smaller cudes of 1 cm.If 5 faces of outer cude are painted,then totally how many smaller cubes surfaces reamin unpainted?a) 475

b) 900 c) 775 d) 463

16. There are certain numbers of hats and gloves in a box. they are 41 red,23 green,11 orange. power goes off. but a woman can differentiate betwn hats and gloves. how many draws are required to obtain a pair of each color.

17. (some nonsense story)(1/2)of a number is 3 times more than the (1/6)of the same number.what is that number?

18. After the typist writes 12 letters and addresses 12 envelopes she inserts the letters randomly into the envelopes(one letter per envelope). what is the probability that exactly one letter is inserted in an improper envelope?

a)0 b)11/12 c)1/12 d)12/212

19. Alok and Bhanu play the following coins in a circle game. 99 coins are arranged in a circle with each coin touching two other coin. Two of the coins are special and the rest are ordinary. Alok starts and the players take turns removing an ordinary coin of their choice from the circle and bringing the other coins closer until they again form a (smaller) circle. The goal is to bring the special coins adjacent to each other and the first player to do so wins the game. Initially the special coins are separated by two ordinary coins O1 and O2. Which of the following is true ?a. In order to win, Alok should remove O1 on his first turn.b. In order to win, Alok should remove one of the coins different from O1 and O2 on his first turn.c. In order to win, Alok should remove O2 on his first turn.d. Alok has no winning strategy.

20. The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion.As one of the forerunners in the technology front,Tirnop continues to lead the way in products and services in India.At Tirnop,all programmer are equal in every respect.they receive identical salaries ans also write code at the same rate.suppose 10 such programmers take 10 minutes to write 10 lines of code in total.how long will it take 7 programmer to write 7 lines of code in total?

21. In planet OZ planet there are 8 days, sunday to saturday and 8th day is Oz day. There is 36 hours in a day. What is angle between 12.40?

22. there are two boxes one containing 10 red balls and other containing 10 green balls.you are allowed to move the balls between the boxes so that when you choose a box at random an a ball at random from that box the probability of getting a ball is maximised.find the maximum probability.1) 14/19,2) 3/4,3) 1/2,4) 37/38

23. Alice and Bob play the following coins-on-a-stack game. 20 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top by repeatedly moving the topmost coin to another position in the stack.

24.Alice starts and the players take turns. A turn consists of moving the coin on the top to a position i below the top coin (0 = i = 20). We will call this an i-move (thus a 0-move implies doing nothing). The proviso is

that an i-move cannot be repeated; for example once a player makes a 2-move, on subsequent turns neither player can make a 2-move.If the gold coin happens to be on top when it's a player's turn then the player wins the game. Initially, the gold coinis the third coin from the top. Then a. Alice has no winning strategy.b. In order to win, Alice's first move should be a 1-move.c. In order to win, Alice's first move can be a 0-move or a 1-move.d. In order to win, Alice's first move should be a 0-move....

25. a bag contains 4 white and 3 black balls.2 balls are drawn one at a time, randomly in succession.what is the probability that both the balls drawn out are white in color,if the first ball is not replaced after the first draw?(A) 9/49 (B) 3/7 (C) 2/7 (D) 4/7 (E) 16/49

26. A CIRCULAR RADIUS OF DASH BOARD 2.0 FOOT IS AT DISTANCE 20 FEET FROM U .U THROW A DART AT IT IT HIT THE DASH BOARD AT SOME POINT Q IN A CIRCLE.WHATS THE PROBABILITY TAHT Q IS CLOSER TO CENTRE OF CIRCLE THAN THE PERIFERY.1) 0.252) O.753) 0.504) 1.0

27. It is dark in my bedroom and I want to get two socks of the same color from my drawer, which contains 24 red and 24 blue socks. How many socks do I have to take from the drawer to get at least two socks of the same color?a) 2 b) 3 c) 48 d) 25

28.A lady has fine gloves and hats in her closet- 26 blue, 30 red, and 56 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?

29. A sheet of paper has statements numbered from 1 to 30. For all values of n from 1 to 30, statement n says "At most n of the statements on this sheet are false". Which statements are true and which are false?a) all odd are false and even are trueb) alleven are true and odd are false c) all are falsed) none of these

30. anup managed to draw 7 circle of equal raddi with their centres on the diagonal of a square such that the two extreme circle touch two sides of the square and each middle circle touches two circle on other side.find the ratio of the radious of the circle to the side of the square.a. (2+7root 2):1b. 1:(2+7root 2)

c. 1:(2+6root 2) d. 1:(4+7root 3)

31. There is 7 friends (A1,A2,A3....A7).If A1 have to have shake with all with out repeat. How many hand shakes possible?

32.(don’t remember the full question but was a lill bit same)there was one question about the triangle. The triangle was having three sides.the value of the three sides was gives and the line joining the center with three points.how many points are there. The answer for this problem was 4

33. Same question as the one described in above questions.

34. same question as the one described in above questions.

35. same question as the one described in above questions.

After written test there were two interviews. First was the technical interview and the second was the HR interview.

In the technical interview the interviewer asked me questions related to my electronics branch as I have specified two subjects namely mobile communication and electronic devices.The questions were1. What is MOSFET2. What is LCS3. What is LED TV4. What is the difference between LCD,PLASMA and LED5. How does an LCD and PLASMA TV works6. Draw the diagram of MOSFET7. What is nortons theorem8. What is mobile communication9. How does a keypad works in a mobile unit10. How a call is generated through a mobile11. In a mobile how does * and # works or what is its use12. What is LED13. What is MATLAB

After the technical round he said that he wanted to test my management skills so he gave me a situation and asked me how to handle the situation…The situation given was -

Suppose you are a project leader and under you a junior works who has a habit of drinking to the brim everyone in the office hates him. And you cannot fir him out of the office because he is a hard worker and no project can we done well without him. He doesn’t obey his senior also he shouts if someone wants to talk to him. But the main thing is that he is a good programmer and nothing can be done well without him then what will u do.In this round the interviewer was jumbling the situation after giving new answer. After each answer he asked new questions.

After my second interview in my HR round the interviewer asked all the members to form a circle and he gave a topic and made us to do a debate and asked us that we should not talk anything negative abt anyone.

The topic was:Suppose out of you five I have to choose only one member then start the debate.This was all the three rounds which I faced.Final selection was 195 out of 268.i was finally selected for the TCS.

Exam/Interview Date : 24-Jan-2011No of Rounds : Aptitude Test, Technical Round-1, Client/Manager InterviewContributor Name : Saurabh

Company Name: TCSType: Fresher, Job Interview

I am V.V.Sreekanth I have done my MCA (2007-10) from MIC College of Tech, Vijayawada. I got my TCS hall ticket on 31st of August , I reached Bangalore.

There was actually four rounds:

1. Written test2. Technical3. GD4. HR

There were around 3000 students, out of which only 200 cleared the written. I was one of them.

Written test:

It was very easy exam as compared with other company written exams. Test contains 35 questions, only from quantitative, in 60 minutes. You can get through if you prepared with previous papers and having a little presence of mind. Questions which I got in exam are.

Q.1. The age of Ram and Sayam are in the ratio 5:6 and after 4 years their ratios are 7:8 then what is the present age of Sayam?Ans. 12years (names and values may change)

Q.2. There is a toy train that can make 10 musical sounds. It makes 2 musical sounds after being defective. What is the probability that same musical sound would be produced 5 times consecutively? (1 of )?Ans. 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/32

Q.3. Find (4x+2y)/ (4x-2y) if x/2y=2

Q.4. Find average speed if a man travels at speed of 14kmph up and 26kmph down at an altitude of 200m. Formula is 2xy/ (x+y)

Q.5. In school there are some bicycles and 4wheeler wagons.one Tuesday there are 190 wheels in the campus. How many bicycles are there?Ans. 15

Q.6. Six friends go to pizza corner there are 2 types of pizzas. And six different flavors are there they have to select 4 flavors from 16 flavors. In how many ways we can select?Ans. 16C4

Q.7. 3, 15, x, 51, 53,159,161. Find XAns. 17

Q.8. 3 friends A, B, C went for week end party to McDonald’s restaurant and there they measure there weights in some order IN 7 rounds. A B C AB BC AC ABC. Final round measure is 155 kg then find the average weight of all the 7 rounds?Ans. 4(155)/7=31

Q.9. The cost of making robot is divided into cost of material, cost of repairing and cost of painting in the ratio of 5:2:3. The cost used for material is 200. Find the total cost of making the robot?Ans. 400 (just calculate it).

Q.10. (There was a long story, I'll cut short it) There are 5 materials to make a perfume: Lilac, Balsamic, Lemon, and Woody and MI mosaic. To make a perfume that is in demand the following conditions are to be followed: Lilac and Balsamic go together. Woody and MI mosaic go together Woody and Balsamic never go together. Lemon can be added with any material. (Actually they had also mentioned how much amount of one can be added with how much quantity of the other but that's not needed for the question.) All of the following combinations are possible to make a perfume except: 1. Balsamic and Lilac2. Woody and Lemon3. MI mosaic and Woody4. MI mosaic and Lilac

Q.11. A triangle is made from a rope. The sides of the triangle are A cm, B cm and C cm (I do not remember the numerical value)What will be the area of the square made from the same rope?Ans. ( (A+B+C)/4)2

Q.12. What is the distance of the z-intercept from the x-intercept in the equation ax+by+cz=d (I do not remember the values of a, b, c, d).Ans. sqrt ((d/a) 2+ (d/c) 2)

Q.13. A scientist in Antarctic region conducts research on bears came to know that bears changes according to the location .once he moves 1 mile towards north, then he moves 2 miles towards east, then 1 mile towards south. Now the color of bear he found will be in:Ans. white

Q.14. Two pipes A and B fill at A certain rate B is filled at 10,20,40,80,. If 1/16 of B if filled in 17 hours what time it will take to get completely filledAns. 21

Q.15. There are 11 boys in a family. Youngest child is a boy. What is the probability of all are boys?(a) 2 (b) 2! (c) 2048 (d) 1024

Q.16. A boy bought a roll A of 56 inches wide and 141 yards long. He also bought B of 77 inches wide of length 333yards. We don’t want any details of B. Some irrelevant matter. Final question is Time taken for cutting A into 1 yard piece is 2 seconds. Time taken to cut into 141 pieces of 1 yard each is?Ans. is 2(141) =242

Q.17. Person buys a horse for 15 ponds, after one year he sells it for 20 pounds. After one year, again he buys the same horse at 30 pounds and sells it for 40 pounds. What is the profit for that person?Ans. is 15 pounds

Q.18. There are 1000 pillars for a temple. 3 friends Linda, Chelsey, Juli visited that temple. (Some unrelated stuff) Linda is taller than Chelsea and taller than 2 of 1000 pillars. Julia is shorter than Linda. Find the correct sentence?(a) Linda is shorter among them(b) Chelsea is taller than Julia(c) Chelsea is shorter than Julia(d) Cannot determine who is taller among Chelsea and JuliaAns. (d)

Q.19. In a family there are some boys and girls. All boys told that they are having equal no of brothers and sisters and girls told that they are having twice the no. of brothers than sisters. How many boys and girls present in a family?Ans. is 4 boys and 3 girls

Q.20. There are certain number of hats and gloves in a box. They are of 41 red, 23 green, 11 orange. Power gone. But a woman can differentiate between hats and gloves. How many draws are required to obtain a pair of each color.

Q.21. There is a die with 10 faces. It is not known that fair or not. 2 captains want to toss die for batting selection. What is the possible solution among the following?

(a) If no. is odd it is head, if no. is even it is tail(b) If no. is odd it is tail, if no. is even it is head(c) Toss a die until all the 10 digits appear on top face. And if first no. in the sequence is odd then consider it as tail. If it is even consider it as head.I didn’t remembered last option and I don’t know answer.

Q.22. 2 years ago of A is x times that of B. 3 Years hence the age of A is 4/3 times of B. What is the present age of B in binary form?I didn’t remember the exact values of x and y. You can solve easily.

Q.23. Ram buys a cycle for 31 dollars and given a cheque of amount 35 dollars. Shop Keeper exchanged the cheque with his neighbor and gave change to Ram. After 2 days, it is known that cheque is bounced. Shop keeper paid the amount to his neighbor. The cost price of cycle is 19 dollars. What is the profit/loss for shop keeper?Ans. is 23(cost price + change given).

Q.24. Metal strip of width ‘x’ cm. 2 metal strips are placed one over the other, then the combine length of 2 strips is ‘y’. If ‘z’ strips are placed in that manner. What is the final width of that arrangement?Ans. is (z-1) (y-x) +x.

Q.25. A game is played between 2 players and one player is declared as winner. All the winners from first round are played in second round. All the winners from second round are played in third round and so on. If 8 rounds are played to declare only one player as winner, how many players are played in first roundAns. is 28.

Q.26. There are 3 boys A, B, C and 2 Girls D, E. D always sit right to A. Girls never sit in extreme positions and in the middle position. C always sits in the extreme positions. Who is sitting immediate right to E?Ans. is B or C

Q.27. 49 members attended the party. In that 22 are males, 17 are females. The shake hands between males, females, male and female. Total 12 people given shake hands. How many such kinds of such shake hands are possible?Ans. is 12C2

Q.28. Entry ticket to an exhibition ranges from 1p to 31p. You need to provide exact change at the counter. You have 31p coin. In how many parts will u divide 31p so that u will provide the exact change required and carry as less coins as possible?(a) 22 (b) 31 (c) 6 (d) 32Ans. is 6

Q.29. There are 2 friends Peter and Paul. Peter age is twice as old as Paul when peter was as old as Paul is now. Sum of the present ages of Peter and Paul is 35.What is the present age of Peter?Ans. is 20

Q.30. A lady took out jacket and gloves, which are available in blue 16, yellow 40 and red 36. Power goes off, she can distinguish between gloves and jacket but not in colors. What's the possibility their she will pick up pair of gloves of each color.Ans. very easy..

Q.31. Two bowls are taken, one contains water and another contains tea. One spoon of water is added to second bowl and mixed well, and a spoon of mixture is taken from second bowl and added to the second bowl. Which statement will hold good for the above?Ans. second liquid in first bowl is smaller than the first mixture in second bowl)

Q.32. Rearrange and categorize the word ‘IGTRE’?Ans. Animal (TIGER)

Q.33. A lies on Monday, Tuesday, wed and speak truths on other days, B lies on Thurs, Fri, Sat and speaks truths on other days. One day a said I lied today and B said I too lied today. What is the day?

Q.34. One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child’s age and eldest child’s age is two times of sum of other two children. What is the age of eldest child?Ans. 18

I attempted 28 questions exactly. Result was declared after two hours and my name was among the successful guys. Then they asked us to come on 4th Sept at 1:30 PM as it was getting late that day.

Technical:

I reached there by 11:00 on 4th . After checking our documents, we were made to sit in a room and asked to wait for the turn. My turn came around 2 pm and within an hour, result was declared and again my name was

in the list.Questions asked from me are:

Q.1. Tell me about. yourself.Ans. I told confidently.

Q.2. Your project in detail and your role in it.Ans. I explained my entire project with diagrams. It took almost 20 minutes. He was satisfied.

Q.3. Problems faced in projectAns. I explained because I have done my project in South Central Railways (SCR). It was a live project done by me.

Q.4. Your favorite subjects in MCA.Ans. Be well prepare with at least 1. I told C and Java

Q.5. Why java? Ans. Because it is a powerful language. And I explained some oops concepts which I like the most.

Q.6. You like programming or theoretical subjects?Ans. Be confident about this.. I told programming subjects.

Q.7. He asked me to write some code of my academic project. Ans. I have written that and explained well. He impressed..

Q.8. Difference b/w Linux and windows?Ans. I explained kernel and its use..

Q.9. Which database you used in your project?Ans. I told oracle 10g

Q.10. Why?Ans. I told that SCR has Oracle licensed version. That’s y I used this…

Q.11. Random algorithm which I used in my projectAns. explained confidently…

Q.12. How to do project planning?Ans. I explained SDLC life cycle perfectly…

Q.13. He also asked me to explain some new concepts that I know in C.Ans. Actually I have done some programs using graphics in C. So I explained them. He impressed and gave shake hand.

Q.14. Why TCS?

Q.15. He asked some questions on college details etc.

Only 100 candidates cleared the technical exam.

GD:

Actually GD was not an elimination round in TCS.. It was very easy. My topic was Love marriages vs. Arranged marriages. Be confident.. raise at least one best point. Then You will be selected.

HR:

After half an hour, I was called for HR

Me: Good evening sir.Interviewer: Good evening, take your seat.Me: Thank you sir. (Interviewer is looking at my resume, which i already gave to them)

Interviewer: Tell me about yourself.Me: Told with confidence and smile on my face. (I think he was well satisfied with my answer).

Interviewer: Tell me about. Your family background.Me: Blah Blah ...

Interviewer: Tell me about your hobbies?Me: Told as cricket and internet surfing.

Then he asked some questions about cricket. So be well prepare with your hobbies

Interviewer: Why do you want to join TCS?Me: Told some strong points about TCS and he was impressed with my answer.

Interviewer: I you are rejected today, then what will you do?Me: Told

Interviewer: Are you ok with TCS bond (2 years, bond break 50,000)?Me: Yes sir I am willing to write 10 years also. Because it is TCS.. Then he smiled a lot…Interviewer: Thank you.

(It was a 10 min round. I felt very happy for that. They told me that they will send results through mail within 3 weeks. I thought I will be selected because I was confident about my performance)

Finally, I got mail on 21st Sept. I was in TCS. Around 80 students were selected in this round.

Exam/Interview Date: 31-Aug-2010No of Rounds: Aptitude TestLocation: BangaloreContributor Name: V.V.Sreekanth

Paper : TCS Interview Sample Paper (Important)

Their strategy is stress interview..

They delibrately humiliate you.. ask disintresting questions to put you under pressure.. i am not exaggerating.. its

true... please be prepared to face questions from any subject that is there in your curriculm.. even accounts and

other subjects that are there in your curriculm.. specially tcs people will ask you your area of intrest.. then they

start asking questions from subjects.. other than the one you mentioned as your area of intrest.. their argument is

that you should be able to answer anything from your first year first sem to last year last sem..

Here is a list of computer science and hr related questions they ask frequently..

1. what is a cursor

2. types of cursors

3. normalization

4. normal forms

5. whis is the best normal form

6. what is an os

7. what exactly os consists of

8. what is the shell u worked on

9. commands in unix

10. what is xml and dhtml

11. Tell about ur self family background weakness and strengths

12. where do u stand in the class

13. sdlc

14. case tools

15. uml

16. importance of accounts in ur curriculm

17. balance sheet entries

18. shares is share an asset

19. function overloading

20. virtual functions

21.explain ip address

22.tools of a network

23. explain gateways, hubs and switches

24. what is os

25. what it does

26. what is dbms

27. similarity between dbms and os

28. differentiate between c nd c++

29. use of ::(scope resolution operator)

30. what kind of projects are suitable for c and c++

31. what is a class? example

32. what have u done to improve ur knowledge outside the curriculam

33. sdlc and stages

34. questions on projects u have done

35. what is testing

36. types of testing

37. funtional point model

38. difference between black box and white box

39. what is quality and various quality certifications

40. what is spiral lifecycle model

41. cohesion and coupling

42. virtual memory concept

43. what is a page fault

44. what is fragmentaion

45. kinds of os

46. cpu sheduling algorithims

47. multitasking vs multiprogramming

48. can we create a table in oracle which is not in first normal form

49. difference between dbms and rdbms

50. sql queries

51. why do we need testing

52. types of indexing

AGES

1)Last year pandit was thrice his sister's age. Next year he is only twice her age. After 5 years what is pandit's

age.

a)2

b)12

c)11

d)14

ans:b

2) Jalia is twice older than qurban . If jalia was 4 years younger, qurban was 3 years older ther diff. between their ages is 12 years what is the sum of thier ages

a)67

b)57

c)36

d)none

ans: b

3) Fathers age is 5 times his son's age. 4 years back the father was 9 times older than son.Find the fathers' present age.

Ans. 40 years

4)Joe's father will be twice his age 6 years from now. His mother was twice his age 2 years before. If Joe will be 24 two years from now, what is the difference between his father's and mother's age?

a) 4

b) 6

c) 8

d) 10

ALLIGATION

1).In a mixture, R is 2 parts, S is 1 part. In aoder to make S to 25% of the mixture, howmuch R is to be added?

AVERAGE

1) Gavaskar average in first 50 innings was 50 . after the 51st innings his average was 51 how many runs he made in the 51st innings

2) Hansie made the following amounts in seven games of cricket in India: Rs.10, Rs.15, Rs.21, Rs.12, Rs.18, Rs.19 and Rs.17(all figures in crores of course).Find his average earnings.

Ans. Rs.16 crore

3)Average of 5 number is -10 sum of 3 numbers is 16,what is the average of other two numbers?

answer -33

4)THREE COMPANIES WORKING INDEPENDENTLY AND GET SAVINGS 10%, 20%, 25%. IF THE COMPANIES WORK JUST OPPOSITE THEN WHAT WILL BE THE NET SAVING?

5)If A, B and C are the mechanisms used separately to reduce the wastage of fuel by 30%, 20% and 10%. What will be the fuel economy if they were used combined.

Ans 20%

BOATS

1) If a man can swim downstream at 6kmph and upstream at 2kmph, his speed in still water is:

a. 4kmph

b. 2kmph

c. 3kmph

d. 2.5kmph

CAR

1)A car is filled with four and half gallons of oil for full round trip. Fuel is taken 1/4 gallon more in going than coming. What is the fuel consumed in coming up?

Sol Before the trip, car is filled with = 4 ? gallon of oilLet ?X? be the quantity of fuel consumed for the trip in one directionThe fuel consumed while going = X + ? The fuel consumed while coming = XTherefore, the fuel consumed for the trip = (X + ?) + X = 4 ? ? 2X + ? = 4 ? => 2X = 4 ? - ? => 2X = 4 ? => X= 2 gallons approx

CHAIN RULE

1)A can copy 50 papers in 10 hours while both A & B can copy 70 papers in 10 hours. Then for how many hours required for B to copy 26 papers?

13

CHESS BOARD

1) in 8*8 chess board what is the total number of squares refer odel

ans:204

CODING

1)THERE IS A WORD 'PERLMENTASITION'.. IF 1ST AND 2ND ,3RD & 4TH WORDS ARE CHANGED AND SO ON, THEN FIND THE 14TH LETTER FROM RIGHT AFTER CHANGE.

2)If TAFJHH is coded as RBEKGI then RBDJK can be coded as ---------

ans qcckj

3)a series of letters are given how many Ws r followed by F and preceded by T. 12.SURFW Code is translated as SHEET?..these kinda ques r there?..

4)Code Interchanging, A word is given?. Letters are reversed..u r asked to find the nth letter from right or left?.

Eg.DESTABILIZATION

Ans-T

5) BFGE CODED AS CEHD THEN CODE PVHDJ

ANS: QUICK

6) FIND THE NO. OF Y FOLLOWED BY W BUT THAT IS NOT FOLLOWED BY Z.

Y W R U D D Y W Z ...............

7) If VXUPLVH is written as SURMISE, what is SHDVD ?

Ans. PEASA (hint: in the first word, the alphabets of the jumbled one is three alphabets after the corresponding alphabet in the word SURMISE. S = V-3, similarly find the one for SHDVD)

8) If DDMUQZM is coded as CENTRAL then RBDJK can be coded as -----

Ans. QCEIL (hint: Write both the jumbled and the coded word as a table, find the relation between the corresponding words, i.e C= D-1, N=M+1 & so on

9) In the word ECONOMETRICS, if the first and second , third and forth,forth and fifth, fifth and sixth words are interchanged up to the last letter, what would be the tenth letter from right?

Ans. word is CENOMOTEIRSC tenth word is R

10)If D_MUQZM is coded as CENTRAL then RBDJK can be coded as

11)In a certain format TUBUJPO is coded as STATION. The code of which string is FILTER?

12) What is the code formed by reversing the First and second letters, the third and fourth letters and son on of the string SIMULTANEOUSLY?

13) In the word ORGANISATIONAL, if the first and second, third and forth, forth and fifth, fifth and sixth words are interchanged up to the last letter, what would be the tenth letter from right?

ANS: I(ROANISATIONALG)

COST

1)A power unit is there by the bank of the river of 750 meters width. A cable is made from power unit to power a plant opposite to that of the river and 1500mts away from the power unit. The cost of the cable below water is Rs. 15/- per meter and cost of cable on the bank is Rs.12/- per meter. Find the total of laying the cable.

Ans 1000 (24725 - cost) 20250

Ans. Rs. 22,500 (hint: the plant is on the other side of the plant i.e. it is not on the same side as the river)

2) The cost of one pencil, two pens and four erasers is Rs.22 while the cost of five pencils, four pens and two erasers is Rs.32.How much will three pencils, three pens and three erasers cost?

Ans. 27

3)2 oranges,3 bananas and 4 apples cost Rs.15 . 3 ornages 2 bananas 1 apple costs Rs 10. what is the cost of 3 oranges, 3 bananas and 3 apples

ANs Rs 15.

4) A shopkeeper bought a watch for Rs.400 and sold it for Rs.500.What is his profit percentage?

Ans. 25%

5) What percent of 60 is 12?

Ans. 20%

6)Three men goes to a hotel to stay ,the clerk says $30 per room/day so all the three plans to stay in one room so each pays $10.After some time the clerk realises that he made a mistake of collecting $30 but the room cost only $25,there fore he decides to return $5 to them so he calls the roomboy and gives him $5 asking him to return.The roomboy keeps $2 with him and he returns only $3($1 for each).Now Totally all have paid $9 each($27)+rommboy $2 which is equal to $27.where did $1 go,who has made the mistake?

7) two pencils cost 8 cents. then 5 pencils cost?

(20 cents)

8)A box of 150 packets consists of 1kg packets and 2kg packets. Total weight of box is 264kg. How many 2kg packets are there

a) 96

b)67

c)100

d)114

ans: d

9)Which is more economical of the following

a)2kg -- 30/-

b)8kg -- 160/-

c)5kg -- 80/-

10)Satish earns 240 weekly.12% of big amount + earning weekly = 540 what is the big amount

a)3200

b)3600

c)2500

d)1000

ans: c

11) Bhanu spends 30% of his income on petrol on scooter. ? of the remaining on house rent and the balance on food. If he spends Rs.300 on petrol then what is the expenditure on house rent?

a) Rs.525

b) Rs.1000

c) Rs.675

d) Rs.175

12) A sporting goods store ordered an equal number of white and yellow balls. The tennis ball company delivered 45 extra white balls, making the ratio of white balls to yellow balls 1/5 : 1/6. How many white tennis balls did the store originally order for?

a) 450

b) 270

c) 225

d)None of these

13) There is a circular pizza with negligible thickness that is cut into 'x' pieces by 4 straight line cuts. What is the maximum and minimum value of 'x' respectively?

a) 12,6

b) 11,6

c) 12,5

d) 11,5

14) The total expense of a boarding house are partly fixed and partly variable with the number of boarders. The charge is Rs.70 per head when there are 25 boarders and Rs.60 when there are 50 boarders. Find the charge per head when there are 100 boarders.

a) 65

b) 55

c) 50

d) 45

COUNTERFEIT

1) In 80 coins one coin is counterfiet what is minimum number of weighings to find out counterfiet coin

CUBE

1) Vertices edges and surfaces of a cube

Ans-8,12,6

CURVES

1)STUDY THE NATURE OF THE CURVES Y==LOGX, XY==C etc

2)curve was given & in option equation was given , you have to mark the correct equation (curve and equation was of general logx,ex ,sinx,cosx,tanx,x curves)

3)values of x &f(x) was given (like x=1000&f(x)=3) and equations was given

4)WHICH SHAPE WILL BE OBTAINED BY USING THESE VALUES OF X,Y

X Y

0 0.00001

10 1.02

100 1.72

1000 3.00

9999 4.72

5)WHICH EQUATION THAT BEST SUITS THIS CURVE A LINE CUTS X AT -1 WHEN Y=0 AND X=0 WHEN Y=3 AND GOES UPWARD

Y

X

DATA INTERPRETATION

1) CORRECT CHART WITH CORRECT VALUES

X- YEAR Y- NO OF PERSONS

1. AVERAGE NO. OF PERSONS FROM 1995 ? 1999

2. WHICH YEAR HAS LARGE DIFFERENCES IN NO OF PERSONS

3. IF 10% OF PEOPLE LEAVES THE OFFICE IN 1998 THEN, HOW MANY FRESH CANDIDATES CAN BE ADDED IN THE NEXT YEAR

2)Given a Bar Chart showing the sales of a company. (In Figure) The sales in years as shown in the figure are (in crores)

1998-1999 - 130,

1997-1998 - 90,

1996-1997 - 90,

1995-1996 - 70

1. The highest growth rate was for the year

Ans. 1998-1999

2. The net increase in sales of the company in the year span of 1995-1999

Ans. 60 crores.

3. The lowest growth rate was for the year

Ans. 1997

4.Year 95 96 97 9899 Members 1001701050

i ) Which year has maximum members growth?

M 100 1EM 70 10B 60E 50R YearS 95 96 97 98

i ) Which year has maximum members growth?

DEGREES

1) TIMEDEGREE 27(deg) 6' 43.15" 45(deg) 31' 4.3" THEN WHAT WILL BE THE DEGREE WHEN TIME IS 3 O CLOCK

DIRECTIONS

1)A Flight takes off at 2 A.M from northeast direction and travels for 11 hours to reach the destination which is in north west direction. Given the latitude and longitude of source and destination. Find the local time of destination when the flight reaches there?

7 AM or 1.00 PM

2) My flight takes of at 2am from a place at 18N 10E and landed 10 Hrs later at a place with coordinates 36N70W. What is the local time when my plane landed.

a) 6:00 am

b) 6:40am

c) 7:40

d) 7:00

e) 8:00

(Hint : Every 1 deg longitude is equal to 4 minutes . If west to east add time else subtract time)

Ans 8:00

3)A moves 3 kms east from his starting point . He then travels 5 kms north. From that point he moves 8 kms to the east.How far is A from his starting point?

Ans. 13 kms

4)Aeroplane is flying at a particular angle and latitude,after some time another latitude is given..(8 hrs later), u r asked to find the local time of the place.

5)AN AEROPLANE STARTS FROM A (SOME LATITUDE IS GIVEN ACCORDING TO PLACE)AT 2 AM LOCAL TIME TO B(SOME LATITUDE). TRAVELLLING TIME IS 10 HOURS. WHAT IS THE LOCAL TIME OF B WHEN IT REACHES B

6)A plane moves from 9?N40?E to 9?N40?W. If the plane starts at 10 am and takes 8 hours to reach the destination, find the local arrival time.

7) A FILE IS TRANSFERRED FROM A PLACE TO ADESTINATION CAPABLE OF 10 KB . THEY GIVEN SOME RATE OF TRANSFER. U HAVE FIND A EQUATION THAT BEST SUIT THIS.

FROG

1)In a well of 20feet depth, a frog jumps 5feet up in the morning and comes 4feet down in the evening,on which day the frog gets out of the well.

GAMES

1) In some game 139 members have participated every time one fellow will get bye what is the number of matches to choose the champion to be held?

ans: 138

2) A & B are playing a game .There are 8 oranges in a row on the table.one Player can take 1-4 oranges in a pick (a maximum of 4),one who picks the last orange wins the game.'A' plays first How many oranges should he pick first time inorder to win the game.

answer 3.

LCM

1) LCM of x and y is 36 and HCF of x and y is 4. If x = 4 then which of the following is definitely not true?

a)Y is divisible by 3

b)Y is divisible by 6

c)Y is divisible by 9

d)X+Y is divisible by

LOGARITHMS

1) log .342==..., log . 343==.... then log .341==????? etc...

2)value of log3.142& log3.143 was given and log3,141 was asked so you have to only see on answer and mark

3)If log 0.317=??? and log 0.318=???. Then find the value of log 0.319.

MATCH

1)Match the following:

1. Male - Boy ---> a. A type of

2. Square - Polygon ---> b. A part of

3. Roof - Building ---> c. Not a type of

4. Mushroom - Vegetables ---> d. A superset of

Ans:

1- d,

2- a,

3- b,

4- c

2)Match the following.

1. brother - sister ---> a. Part of

2. Alsatian - dog ---> b. Sibling

3. sentence - paragraph ---> c. Type of

4. car - steering ---> d. Not a type of

Ans.

1-b,

2-c,

3-a,

4-d

3)SCOOTER --------- AUTOMOBILE A. A PART OF

2.OXYGEN----------- WATER B. A Type of

3.SHOP STAFF------- FITTERS C. NOT A TYPE OF 4. BUG -------------REPTILE D. A SUPERSET OF

4)MATCH THE FOLLOWING

A B

1. SENTENCE, PARAGRAPH 1. TYPE OF

2. BASMATI, WHEAT 2. A PART OF

3. BROTHER, SISTER 3. NOT A TYPE OF

4. BREIGAL, DOG 4. SIBLING

ANS:

1-> 2

2->1

3->3

4->4

MATHEMATICAL SYMBOLS

1) Given $ means Tripling and % means change of sign then find the value of $%$6-%$%6

ANS : -72

2) 5-&%&5

Ans-30 (Check)

3) WHAT IS THE VALUE OF % # % (5) + # % # (2) WHERE % - DOUBLING #- RECIPROCAL

4)Find the value of @@+25-++@16, where @ denotes "square" and + denotes "square root".

Ans: 621 or 121

MATRIX

1)Find the singularity matrix from a given set of matrices?

(Hint det(A)====0)

MEMORY

1)If the vertex (5,7) is placed in the memory. First vertex (1,1) 's address is 1245 and then address of (5,7) is ----------1279

2)A 2D array is declared as A[9,7] and each element requires 2 byte. If A[ 1,1 ] is stored in 3000. Find the memory of A[8,5] ? 3106

3)one circular array is given (means the memory allocation takes place like a circular fashion )dimension (9X7) .starting address is 3000.find the address of (2,3)..555

4)Some has got the qs. As memory allocation takes place coloumnwise.u have to find out the address.

5)The size of a program is N. And the memory occupied by the program is given by M = square root of 100N. If the size of the program is increased by 1% then how much memory now occupied?

Ans 0. 5%( SQRT 101N)

6)In a two-dimensional array, X (9, 7), with each element occupying 4 bytes of memory, with the address of the first element X (1, 1) is 3000, find the address of X (8, 5).

Ans 3212

MIXTURE

1)16 litre can, 7 litre can,3 litre can,the customer has to be given 11 litres of milk using all the three cans only explain?

NUMBER SYSTEM

1) The number 362 in decimal system is given by (1362)x in the X system of numbers find the value of X

a}5

b) 6

c) 7

d) 8

e) 9

2) Decimal no 319 is equal to 1234.This 1234 belongs to which Number systems

3)194 base 10 = ____ base 5 (1234)

4) In which of the system, decimal number 194 is equal to 1234?

ANS:5

5) Convert the decimal number 310 to the base 6.

Ans: 1234

6) Find the value of the decimal number to the base 7.

Ans. 1436.



Ans 5

9) Find the value of the 678 to the base 7.

ans 1656

10)The base 5 representation of the decimal number 2048 is _____.

ODD MAN OUT

1) LINUX, WINDOWS 98, SOLARIS, SMTP

(ANS: SMTP)

2)MVS

3). a)JAVA b) LISP c) Smaltalk d)Eiffle

Ans: LISP ( All other languages are OOPS)

4) 1.http 2.arp 3.snmp 4.sap

Ans-sap

5) 1.linux 2.windows NT 3.sql server 4.Unix

Ans-Sql server

6) 1.SAP 2.ARP 3.WAP 4.TCP IP

7) a. Oracle b. Linux c. Ingress d. DB2

8) a. SMTP b. WAP c. SAP d. ARP

Ans:SAP

9) a. WAP b. HTTP c. BAAN d. ARP

Ans:BAAN

10) a. LINUX b. UNIX c. SOLARIS d. SQL SERVER

Ans:SQL SERVER

11) a. SQL b. DB2 c. SYBASE d. HTTP

Ans: HTTP

12) a. Oracle b. Linux c. Ingress d. DB2

ANS:LINUX

ORTHOGONAL PAIRS

1)Which of the following are orthogonal pairs?

a. 3i+2j

b. i+j c.

2i-3j

d. -7i+j

ans a,c

2) (a) 2+3i (b)1+i (c) 3-2i (d) 1-7i . Find which of the above is orthogonal.

Ans a,c

3)Sum of slopes of 2 perpendicular st. lines is given. Find the pair of lines from the given set of options which satisfy the above condition?

PARTNERSHIP

1) If Rs.1260 is divided between between A, B and C in the ratio 2:3:4, what is C's share?

Ans. Rs. 560

2) A sum of money is divided among A, B and C such that for each rupee A gets, B gets 65paise and C gets 35paise. If C's share is Rs.560, the sum is ?

a)2400

b)2800

c)3200

d)3800

PERCENTAGE

1) What percent of 60 is 12?

Ans. 20%

2) A report consists of 20 sheets each of 55 lines and each such line consists of 65 characters. This report is retyped into sheets each of 65 lines such that each line consists of 70 characters. The % reduction in the number of sheets is closest to

a)20 b)5

c)30

d)35

3) Amal bought 5 pens, 7 pencils and 4 erasers. Rajan bought 6 pens, 8 erasers and 14 pencils for an amount which was half more than what Amal had paid. What % of the total amount paid by Amal was paid for pens? a)37.5%

b)62.5%

c)50%

d)None of these

PERMUTATIONS

1)How many 3 digits with 3 Distinct digits are there from 100-1000.

POWER OF

1)What is the power of 2?

a. 2068

b.2048

c.2668

Ans:2048

2) 8 to the power of x is 32,what is the value of x?

3)Which is a/not a power of 2 or 3.

4)Power of 4

Ans-4096

5)WHICH ONE WILL BE THE EXACT POWER OF 3

(i) 2768

(ii)2678

(III) 2187

PRIME NUMBERS

1)Find the highest prime number that can be stored in an 8bit computer.

2)What is the max possible 3 digit prime number?

Ans 997

3)Largest prime no. in a 6 bit,8 bit

(Ans 127),9 bit microprocessor

4)WHAT IS THE LARGEST PRIME NO THAT IS STORED IN 8 BIT PATTERN

ANS: 253 (NOT SURE)

5)What is the largest prime number that can be stored in an 8-bit memory? 251 or 127

6)Which is the largest prime number that can be stored in a 9-bit register?

PROBABILITY

1) In a company 30% are supervisors and 40% employees are male if 60% of supervisors are male. what is the probability that a randomly choosen employee is a male or female?

2) 12 Blacksox and 12 Whitesox mixed in a box,a pair of sox is picked at a time,in which pick/how many pick ,to get the right pair(black&black or white&white)?

3)Two coins one with HEAD IN BOTH SIDES and the other coin HEAD IN ONE SIDE AND TAIL IN THE OTHER SIDE is in a box,a coin is taken at random and FOUND HEAD IN ONE SIDE .what is the probability that THE OTHER SIDE IS HEAD?

4) There are 5 distinct pairs of white socks and 5 pairs of black socks in a cupboard. In the dark, how many socks do I have to pull out to ensure that I have at least 1 correct pair of white socks?

a)3

b)11

c)12

d)16

PROBLEMS ON NUMBERS

1)What number should be added to or subtracted from each term of the ratio 17 : 24 so that it becomes equal to 1 : 2.

Ans. 10 should be subtracted

2)The sum of the digits of a two digit number is 8. When 18 is added to the number, the digits are reversed. Find the number?

Ans. 35

3)In a fraction, if 1 is added to both the numerator at the denominator, the fraction becomes 1/2. If numerator is subtracted from the denominator, the fraction becomes 3/4. Find the fraction.

Ans. 3/7

4) WHAT IS THE NUMBER OF ZEROS AT THE END OF THE PRODUCT OF THE NUMBERS FROM 1 TO 100

5) 9/10 or 10/11 which is greater.

6) (x-y/3)-(y-x/3)=?

7) x:y=3 and x+y=80 what is the value of y?

answer y=20

8) M(893,10)+r( )+t( ) is asked

9) n=68 x 12 x 51 Which of the follg is not an integer

Ans- n/122

10) M(373, 7) + R(6.8) ?T(3.4) + R( 3.4)

11) SOME RELATION THAT IS DEDUCE TO

A (POW 2) DIRECT PROPORTIONAL TO X (POW 3)

B (POW 2) DIRECT PROPORTIONAL TO Y (POW 3)

SOME FOUR ANSWERS WERE GIVEN

ANS: ALL OF THE ABOVE

12)WHICH IS THE PERFECT ONE AMONG THE 4

1. 2x +3y=4

2. x + y= -1

3. Y=2x+ 3

13)A salesperson multiplied a number and get the answer 3, instead of that number devided by 3. what is the answer he actually has to get?1 x 3 = 3 so number = 1 divided by 3, the ans. is 1/3.

14)M(373,5)+R(3.4)+T(7.7)+R(5.8)

Ans. 19

15) If the numerator of a fraction is increased by 25% and denominator decreased by 20%, the new value is 5/4. What is the original value?

a) 3/5

b) 4/5

c) 7/8

d) 3/7

16) The value of ? + 5 / 36 + 7 / 144 + ??.+17 / 5184 + 19 / 8100 is

a)0.99

b)0.98

c)0.95

d)None of these

17) A student's grade in a course is determined by 6 quizzes and one examination. If the examination counts thrice as much as each of the quizzes, what fraction of final grade is determined by the examination?

a)1/6

b)1/5

c)1/3

d)?

18) When ? of a unit's digit is added to the ten's digit of a two number, the sum of the digits becomes 10. If ? of the ten's digit added to the unit's digit, then the sum of the digits is 1 less than the previous. Find the number.

a)94

b)84

c)48

d)88

19) A person had to multiply two numbers. Instead of multiplying by 35, he multiplied by 53and the product went up by 540. What was the raised product? a)780

b)1040

c)1590

d)1720

RECTANGULAR

1) WHICH IS NOT A SIDE OF A RECTANGULAR

1. (2,3,4)

2. (3,4,7)

3. (3,5,9)

2) ONE RECTANGULAR PLATE WITH LENGTH 8INCHES,BREADTH 11 INCHES AND 2 INCHES THICKNESS IS THERE.WHAT IS THE LENGTH OF THE CIRCULAR ROD WITH DIAMETER 8 INCHES AND EQUAL TO VOLUME OF RECTANGULAR PLATE?

ANS: 3.5INCHES

3) If the length of a rectangle is increased by 30% and the width is decreased by 20%, then the area is increased by...

(a) 10%

(b) 5%

(c) 4%

(d) 20%

(e) 25%

4) The length of a rectangle is increased by 60%. By what % would the width have to be decreased to maintain the same area?

a)30%

b)60%

c)75%

d)37.5%

RECURSION

1)G(0)= -1, G(1)=1, G(N)=G(N-1) - G(N-2), G(5)= ?

ans - 2

2)G (0) =1 G (1)= -1 IF G (N)=2* (G (N-1))? 3(G (N-2)) THEN WHAT IS THE VALUE OF G (4)?

3)If f(0)=1 and f(n)= f(n-1)*n, find the value of f(4).

Ans: 24

4)If g(0)=g (1)=1 and g (n)= g (n-1) + g (n ?2) find g (6);

SERIES

1)Complete the series. 3, 8, --, 24, --, 48, 63 .

ans 15, 35

2)Complete the series. 4, -5, 11, -14, 22, ---

Ans - 27

3) SERIES: 2,7,24,77,? (238) or (240)

4)77,49,36,18,?

answer 8 (7*7=49)(4*9=36)(3*6=18) (1*8=8)

5)series: 5 6 7 8 10 11 14 ??

ans.15 or 18

6)15 14 12 11 ?? 9 8

ans.10

7)What is the 12th term of the series 2, 5, 8, ....

Ans. 35

8)58,27,12,x,2,1. Find x.

9)7,9,13,_,27,37.

Ans-19

10)2, 5, __ , 19, 37, 75

Ans: 9

11)Complete the sequence 9,10,11,13,15, __, 21,28.

SET

1)A, B and C are 8 bit nos. They are as follows:

A 1 1 0 1 1 0 1 1

B 0 1 1 1 1 0 1 0

C 0 1 1 0 1 1 0 1

Find ( (A-B) u C )=?

Hint : 109 A-B is {A} - {A n B}

ANS: 0 1 1 1 1 1 1 1 (DB)

2)If A, B and C are the mechanisms used separately to reduce the wastage of fuel by 30%, 20% and 10%. What will be the fuel economy if they were used combined.

Ans 20%

3) | A | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 10010001

| B | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 01101010

| C | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 10010110

(AuB)nC = ? [ (A union B) intersection C = ?]

4) A 0 0 0 0 1 1 1 1

B 0 0 1 1 0 0 1 1

C 0 1 0 1 0 1 0 1

( A U B ) P C Find the fourth row, having the bit pattern as an integer in an 8-bit computer, and express the answer in its decimal value.

Ans. 29

5) In the class of 40 students, 30 speak Hindi and 20 speak English. What is the lowest possible number of students who speak both the languages?

(a) 5

(b) 20

(c) 15

(d) 10

(e) 30

6)You will be given the bit position values for A, B and C and using the relation (A?B) u C you have to construct the truth table. Then find the corresponding decimal number and choose the right option.

7)If A=(110010) in base 2 & B=(101011) in base 2, then what is the decimal value of (AB)C

SHADOW

1)A building with height D shadow upto G. A neighbour building with what height shadows C feet.

|----|----|----|----|----|----|----|

A B C D E F G H

Sol: B Ft. or CD/G

1) How many positive integer solutions does the equation 2x+3y = 100 have?

a)50

b)33

c)16

d)35

STANDARD DEVIATION

1)Which of the following set of numbers has the highest Standard deviation?

a)1,0,1,0,1,0

b)-1,-1,-1,-1,-1,-1

c)1,1,1,1,1,1

d)1,1,0,-1,0,-1

2)WHICH WILL GIVE GOOD STANDARD DEVIATION

1. (7,0,-7,0,7)

2. (7,-7,7,-7,7)

3. (1,0,-1,0,1)

TANK

1)with 4/5 full tank vehicle travels 12 miles, with 1/3 full tank how much distance travels

( 5 miles )

2)A car travels 12 kms with a 4/5th filled tank.How far will the car travel with 1/3 filled tank?

Ans. 5 kms

TEMPERATURE

1)In Madras, temperature at noon varies according to -t^2/2 + 8t + 3, where t is elapsed time. Find how much temperature more or less in 4pm to 9pm. (May be we can solve it by Definite Integration. Check any way}

Ans. At 9pm 7.5 more or 385.8(DB)

2)FOR TEMPERATURE A FUNCTION IS GIVEN ACCORDING TO TIME : ((t**2)/6) + 4t +12 WHAT IS THE TEMPERATURE RISE OR FALL BETWEEN 4.AM TO 9 AM

2)FOR TEMPERATURE A FUNCTION IS GIVEN ACCORDING TO TIME : ((t**2)/6) + 4t +12 WHAT IS THE TEMPERATURE RISE OR FALL BETWEEN 5 PM to 8 PM

3)Low temperature at the night in a city is 1/3 more than 1/2 high as higher temperature in a day. Sum of the low tem. and highest temp. is 100 degrees. Then what is the low temp?

(40 deg.)

TIME AND DISTANCE

1)A is driving on a highway when the police fines him for overspeeding and exceeding the limit by 10 km/hr.At the same time B is fined for overspeeding by twice the amount by which A exceeded the limit.If he was driving at 35 km/hr what is the speed limit for the road?

Ans. 15 kmph

2)A car travels 12 kms with a 4/5th filled tank.How far will the car travel with 1/3 filled tank?

Ans. 5 kms

3) falling height is proportional to square of the time. one object falls 64cm in 2sec than in 6sec from how much height the object will fall.

4)A car has run 10000 miles using 5 tyres interchangably,To have a equal wornout by all tyres how many miles each tyre should have run.

answer 4000 miles/tyre

5)A person, who decided to go to weekened trip should not exceed 8 hours driving in a day. Average speed of forward journey is 40 m/h. Due to traffic in sundays, the return journey average speed is 30 m/h. How far he can select a picnic spot?

a) 120 miles

b) between 120 and 140 miles

c) 160 miles

ans: 120 miles

6)A ship started from port and moving with I miles per hour and another ship started from L and moving with H miles per hour. At which place these two ships meet?

|----|----|----|----|----|----|

port G H I J K L

7)A person was fined for exceeding the speed limit by 10mph. Another person was also fined for exceeding the same speed limit by twice the same. If the second person was traveling at a speed of 35 mph, find the speed limit.

Sol: Let ?x? be the speed limit Person ?A? was fined for exceeding the speed limit by = 10mphPerson ?B? was fined for exceeding the speed limit by = twice of ?A? = 2*10mph=20mphgiven that the second person was traveling at the speed of 35mph => 35mph ? 20mph = 15mph

8)A bus started from bustand at 8.00am, and after 30 minutes staying at destination, it returned back to the busstand. The destination is 27 miles from the busstand. The speed of the bus is 18mph. In return journey bus travels with 50% fast speed. At what time it returns to the busstand?

(11.00am).

9) wind flows 160 miles in 330 min, for 80 miles how much time required.

10) A storm will move with a velocity of towards the centre in hours, At the same rate how much far will it move in hrs.(but the answer is 8/3 or 2 2/3 )

11)If A is traveling at 72 km per hour on a highway. B is traveling at a speed of 25 meters per second on a highway. What is the difference in their speeds in meters per second?

(a) 1/2 m/sec

(b) 1 m/sec

(c) 1 1/2 m/sec

(d) 2 m/sec

(e) 3 m/sec

12)A traveler walks a certain distance. Had he gone half a kilometer an hour faster \, he would have walked it in 4/5 of the time, and had he gone half a Kilometer an hour slower, he would have walked 2 ? hr longer. What is the distance?

a)10 Km

b)15 Km

c)20 Km

d)Data Insufficient

13) A ship leaves on a long voyage. When it is 18 miles from the shore, a seaplane, whose speed is 10 times that of the ship is sent to deliver mail. How far from the shore does the seaplane catch upo with the ship?

a)24 miles

b)25 miles

c)22 miles

d)20 miles

14) In a circular race track of length 100 m, three persons A, B and C start together. A and B start in the same direction at speeds of 10 m/s and 8 m/s respectively. While C runs in the opposite at 15 m/s. When will all the three meet for the first time on the after the start?

a)after 4s

b)after 50s

c)after 100s

d)after 200s

15) If the distance traveled (s) in time (t) by a partile is given by the formula s = 1+ 2t+3t2+4t3 , then what is the distance travelled in the 4th second of its motion?

a)141m

b)171m

c)243 m

d)313 m

16) A non stop bus to Amritsar overtakes an auto also moving towards Amritsar at 10 am. The bus reaches Amritsar at 12.30 pm and starts on the return journey after 1 hr. On the way back it meets the auto at 2 pm. At what time the auto will reach Amritsar?

a) 2.30pm

b)3.00pm

c)3.15pm

d)3.30pm

TIME AND WORK

1)A is twice efficient than B. A and B can both work together to complete a work in 7 days. Then find in how many days A alone can complete the work?

10.5 (11)

2)A finish the work in 10 days. B is 60% efficient than A. So how days does B take to finish the work?

Ans 100/6 (4 days)

3) A finishes the work in 10 days & B in 8 days individually. If A works for only 6 days then how many days should B work to complete A's work?

Ans 3.2 days (4 days)

4)A man, a woman, and a child can do a piece of work in 6 days. Man only can do it in 24 days. Woman can do it in 16 days and in how many days child can do the same work?

Ans 16

5)If 20 men take 15 days to to complete a job, in how many days can 25 men finish that work?

Ans. 12 days

6) one fast typist type some matter in 2hr and another slow typist type the same matter in 3hr. if both do combinely in how much time they will finish.

ans: 1hr 12min

7)A man shapes 3 cardboards in 50 minutes,how many cardboards does he shape in 5 hours?

answer 18cardboards.

8)A work is done by two people in 24 min. one of them can do this work a lonely in 40 min. how much time required to do the same work for the second person.

Sol:(A+B) can do the work in = 1/24 min.A alone can do the same work in = 1/40 min.B alone can do the same work in = (A+B)?s ? A?s = 1/24 ? 1/40 = 1/60Therefore, b can do the same work in = 60 min

9)A can do a piece of work in 20 days, which B can do in 12 days. In 9 days B does ? of the work. How many days will A take to finish the remaining work?

10)Anand finishes a work in 7 days, Bittu finishes the same job in 8 days and Chandu in 6 days. They take turns to finish the work. Anand on the first day, Bittu on the second and Chandu on the third day and then Anand again and so on. On which day will the work get over?

a)3rd

b)6th

c)9th

d)7th

11) 3 men finish painting a wall in 8 days. Four boys do the same job in 7 days. In how many days will 2 men and 2 boys working together paint two such walls of the same size?

a) 6 6/13 days

b)3 3/13 days

c)9 2/5 days

d) 12 12/13 days

12)The size of the bucket is N kb. The bucket fills at the rate of 0.1 kb per millisecond. A programmer sends a program to receiver. There it waits for 10 milliseconds. And response will be back to programmer in 20 milliseconds. How much time the program takes to get a response back to the programmer, after it is sent?

ans 30 milliseconds

TRAINS

1)TWO STATIONS A & B ARE 110 KM APART. ONE TRAIN STARTS FROM A AT 7 AM, AND TRAVELS TOWARDS B AT 20KMPH. ANOTHER TRAIN STARTS FROM B AT 8 AM AND TRAVELS TOWARDS A AT 25KMPH. AT WHAT TIME WILL THEY MEET?

A. 9 AM

B. 10 AM

C. 11 AM

D. 10.30 AM

TREE

1) 900 M WIDE 3000 M WIDTH SOMETHING I CAN?T REMEMBER SOME VALUES ARE GIVEN BY AIR PER M Rs. 4 BY GROUND PER M Rs. 5 THEN WHERE U WILL CUT

2)Two trees are there. one grows at 3/5 of the other in 4 years, total growth of trees is 8 ft. what growth will smaller tree will have in 2 years ( < 2 ft. ) ie 1 ? feet

TRIANGLES

1) Given the length of the 3 sides of a triangle. Find the one that is impossible? (HINT : sum of smaller 2 sides is greater than the other one which is larger)

2)3 angles or 3 sides r given.Which will form a triangle?

UNITS

1)(Momentum*Velocity)/(Acceleration * distance ) find units.

ans mass

2)(energy * time * time )/(mass * dist) = distance

3)(momentum * velocity)/(force * time) = velocity

4)Find the physical quantity in units from the equation:

(Force*Distance)/(Velocity*Velocity)

Ans. Ns2/m

5)Find the physical quantity represented by MOMENTUM *VELOCITY] / [LENGTH * ACCELERATION]?

VENN DIAGRAM

1)Venn Diagram kinda ques.Some know English, some French,some German??how many know two languages?..

2)VENN DIAGROM below

1. HOW MANY PERSON KNOW ENGLISH MORE THAN FRENCH

2. HOW MUCH % OF PEOPLE KNOWS ALL THE 3 LANGUAGES

3. HOW MUCH % OF PEOPLE THOSE WHO KNOWS FRENCH AND GERMAN AND NOT ENGLISH FRENCH

3)Consider the following diagram for answering the following questions:

A. Find the difference between people playing cricket and tennis alone.

Ans: 4

B. Find the percentage of people playing hockey to that playing both hockey and cricket.

C. Find the percentage of people playing all the games to the total number of players.

Ans: 6%

4) 1. How many more or less speak English than French?

2. What % people speak all the three languages?

3. What % people speak German but not English?

WEIGHTS

1)There are 150 weights .Some are 1 kg weights and some are 2 kg weights. The sum of the weights is 260.What is the number of 1kg weights?

Ans. 40

2)A truck contains 150 small packages, some weighing 1 kg each and some weighing 2 kg each. how many packages weighing 2 kg each are in the truck if the total weight of all the packages is 264 kg?

(a) 36

(b) 52

(c) 88

(d) 124

(e) 114

Paper : TCS Placement Paper Pattern (Only Aptitude)

1) If log 0.317=0.3332 and log 0.318=0.3364 then find log 0.319 ?

Sol) log 0.317=0.3332 and log 0.318=0.3364, then

log 0.319=log0.318+(log0.318-log0.317) = 0.3396

2) A box of 150 packets consists of 1kg packets and 2kg packets. Total weight of box is 264kg. How many 2kg

packets are there ?

Sol) x= 2 kg Packs

y= 1 kg packs

x + y = 150 .......... Eqn 1

2x + y = 264 .......... Eqn 2

Solve the Simultaneous equation; x = 114

so, y = 36

ANS : Number of 2 kg Packs = 114.

3) My flight takes of at 2am from a place at 18N 10E and landed 10 Hrs later at a place with coordinates

36N70W. What is the local time when my plane landed?

a) 6:00 am

b) 6:40am

c) 7:40

d) 7:00

e) 8:00

Sol) The destination place is 80 degree west to the starting place. Hence the time difference between these two

places is 5 hour 20 min. (=24hr*80/360).

When the flight landed, the time at the starting place is 12 noon (2 AM + 10 hours).

Hence, the time at the destination place is 12 noon - 5:20 hours = 6: 40 AM

4) A plane moves from 9?N40?E to 9?N40?W. If the plane starts at 10 am and takes 8 hours to reach the

destination, find the local arrival time ?

Sol) Since it is moving from east to west longitide we need to add both

ie,40+40=80

multiply the ans by 4

=>80*4=320min

convert this min to hours ie, 5hrs 33min

It takes 8hrs totally . So 8-5hr 30 min=2hr 30min

So the ans is 10am+2hr 30 min

=>ans is 12:30 it will reach

5) The size of the bucket is N kb. The bucket fills at the rate of 0.1 kb per millisecond. A programmer sends a

program to receiver. There it waits for 10 milliseconds. And response will be back to programmer in 20

milliseconds. How much time the program takes to get a response back to the programmer, after it is sent?

Please tell me the answer with explanation.

Sol) see it doesn't matter that wat the time is being taken to fill the bucket.after reaching program it waits there

for 10ms and back to the programmer in 20 ms.then total time to get the response is 20ms +10 ms=30ms...it's so

simple....

6) A file is transferred from one location to another in 'buckets'. The size of the bucket is 10 kilobytes. Each

bucket gets filled at the rate of 0.0001 kilobytes per millisecond. The transmission time from sender to

receiver is 10 milliseconds per bucket. After the receipt of the bucket the receiver sends an acknowledgement

that reaches sender in 100 milliseconds. Assuming no error during transmission, write a formula to calculate

the time taken in seconds to successfully complete the transfer of a file of size N kilobytes.

(n/1000)*(n/10)*10+(n/100)....as i hv calculated...~~!not 100% sure

7) A fisherman's day is rated as good if he catches 9 fishes, fair if 7 fishes and bad if 5 fishes. He catches 53

fishes in a week n had all good, fair n bad days in the week. So how many good, fair n bad days did the fisher

man had in the week

Ans:4 good, 1 fair n 2 bad days

Sol) Go to river catch fish

4*9=36

7*1=7

2*5=10

36+7+10=53...

take what is given 53

good days means --- 9 fishes so 53/9=4(remainder=17) if u assume 5 then there is no chance for bad days.

fair days means ----- 7 fishes so remaining 17 --- 17/7=1(remainder=10) if u assume 2 then there is no chance for

bad days.

bad days means -------5 fishes so remaining 10---10/5=2days.

Ans: 4 good, 1 fair, 2bad. ==== total 7 days.

x+y+z=7--------- eq1

9*x+7*y+5*z=53 -------eq2

multiply eq 1 by 9,

9*x+9*y+9*z=35 -------------eq3

from eq2 and eq3

2*y+4*z=10-----eq4

since all x,y and z are integer i sud put a integer value of y such that z sud be integer in eq 4 .....and ther will be

two value y=1 or 3 then z = 2 or 1 from eq 4

for first y=1,z=2 then from eq1 x= 4

so 9*4+1*7+2*5=53.... satisfied

now for second y=3 z=1 then from eq1 x=3

so 9*3+3*7+1*5=53 ......satisfied

so finally there are two solution of this question

(x,y,z)=(4,1,2) and (3,3,1)...

8) Y catches 5 times more fishes than X. If total number of fishes caught by X and Y is 42, then number of

fishes caught by X?

Sol) Let no. of fish x catches=p

no. caught by y =r

r=5p.

r+p=42

then p=7,r=35

9) Three companies are working independently and receiving the savings 20%, 30%, 40%. If the companies work

combinely, what will be their net savings?

suppose total income is 100 http:/

so amount x is getting is 80

y is 70

z =60

total=210

but total money is 300

300-210=90

so they are getting 90 rs less

90 is 30% of 300 so they r getting 30% discount

10) The ratio of incomes of C and D is 3:4.the ratio of their expenditures is 4:5. Find the ratio of their savings

if the savings of C is one fourths of his income?

Sol) incomes:3:4

expenditures:4:5

3x-4y=1/4(3x)

12x-16y=3x

9x=16y

y=9x/16

(3x-4(9x/16))/((4x-5(9x/16)))

ans:12/19

11) If G(0) = -1 G(1)= 1 and G(N)=G(N-1) - G(N-2) then what is the value of G(6)?

Ans: -1

bcoz g(2)=g(1)-g(0)=1+1=2

g(3)=1

g(4)=-1

g(5)=-2

g(6)=-1

12) If A can copy 50 pages in 10 hours and A and B together can copy 70 pages in 10 hours, how much time

does B takes to copy 26 pages?

Sol) A can copy 50 pages in 10 hrs.

A can copy 5 pages in 1hr.(50/10)

now A & B can copy 70 pages in 10hrs.

thus, B can copy 90 pages in 10 hrs.[eqn. is (50+x)/2=70, where x--> no. of pages B can copy in 10 hrs.]

so, B can copy 9 pages in 1hr.

therefore, to copy 26 pages B will need almost 3hrs.

since in 3hrs B can copy 27 pages.

13) what's the answer for that : A, B and C are 8 bit no's. They are as follows:

A -> 1 1 0 0 0 1 0 1

B -> 0 0 1 1 0 0 1 1

C -> 0 0 1 1 1 0 1 0 ( - =minus, u=union)

Find ((A - C) u B) =?

To find A-C, We will find 2's compliment of C and them add it with A,

That will give us (A-C)

2's compliment of C=1's compliment of C+1

=11000101+1=11000110

A-C=11000101+11000110

=10001001

Now (A-C) U B is .OR. logic operation on (A-C) and B

10001001 .OR . 00110011

The answer is = 10111011,

Whose decimal equivalent is 187.

14) One circular array is given(means memory allocation tales place in circular fashion) diamension(9X7) and

sarting add. is 3000, What is the address of (2,3)........

Sol) it's a 9x7 int array so it reqiure a 126 bytes for storing.b'ze integer value need 2 byes of memory allocation. and

starting add is 3000

so starting add of 2x3 will be 3012.

15) In a two-dimensional array, X (9, 7), with each element occupying 4 bytes of memory, with the address of

the first element X (1, 1) is 3000, find the address of X (8, 5).

Sol) initial x (1,1) = 3000 u hav to find from x(8,1)so u have x(1,1),x(1,2) ... x(7,7) = so u have totally 7 * 7 = 49

elementsu need to find for x(8,5) ? here we have 5 elements each element have 4 bytes : (49 + 5 -1) * 4 = 212 -----(

-1 is to deduct the 1 element ) 3000 + 212 = 3212

16) Which of the following is power of 3

a) 2345

b) 9875

c) 6504

d) 9833

17) The size of a program is N. And the memory occupied by the program is given by M = square root of 100N.

If the size of the program is increased by 1% then how much memory now occupied ?

Sol) M=sqrt(100N)

N is increased by 1%

therefore new value of N=N + (N/100)

=101N/100

M=sqrt(100 * (101N/100) )

Hence, we get M=sqrt(101 * N)

18)

1)SCOOTER --------- AUTOMOBILE--- A. PART OF

2.OXYGEN----------- WATER ------- B. A Type of

3.SHOP STAFF------- FITTERS------ C. NOT A TYPE OF

4. BUG -------------REPTILE------ D. A SUPERSET OF

1)B

2)A

3)D

4)C

19) A bus started from bustand at 8.00a m and after 30 min staying at destination, it returned back to the

bustand. the destination is 27 miles from the bustand. the speed of the bus 50 percent fast speed. at what

time it returns to the bustand

this is the step by step solution:

a bus cover 27 mile with 18 mph in =27/18= 1 hour 30 min. and it wait at stand =30 min.

after this speed of return increase by 50% so 50%of 18 mph=9mph

Total speed of returnig=18+9=27

Then in return it take 27/27=1 hour

then total time in joureny=1+1:30+00:30 =3 hour

so it will come at 8+3 hour=11 a.m.

So Ans==11 a.m

20) In two dimensional array X(7,9) each element occupies 2 bytes of memory.If the address of first element

X(1,1)is 1258 then what will be the address of the element X(5,8) ?

Sol) Here, the address of first element x[1][1] is 1258 and also 2 byte of memory is given. now, we have to solve the

address of element x[5][8], therefore, 1258+ 5*8*2 = 1258+80 = 1338 so the answer is 1338.

21) The temperature at Mumbai is given by the function: -t2/6+4t+12 where t is the elapsed time since

midnight. What is the percentage rise (or fall) in temperature between 5.00PM and 8.00PM?

22) Low temperature at the night in a city is 1/3 more than 1/2 high as higher temperature in a day. Sum of

the low temperature and highest temp. is 100 degrees. Then what is the low temp?

Sol) Let highest temp be x

so low temp=1/3 of x of 1/2 of x plus x/2 i.e. x/6+x/2

total temp=x+x/6+x/2=100

therefore, x=60

Lowest temp is 40

23) In Madras, temperature at noon varies according to -t^2/2 + 8t + 3, where t is elapsed time. Find how much

temperature more or less in 4pm to 9pm.

Ans. At 9pm 7.5 more

Sol) In equestion first put t=9,

we will get 34.5...........................(1)

now put t=4,

we will get 27..............................(2)

so ans=34.5-27

=7.5

24) A person had to multiply two numbers. Instead of multiplying by 35, he multiplied by 53 and the product

went up by 540. What was the raised product?

a) 780

b) 1040

c) 1590

d) 1720

Sol) x*53-x*35=540=> x=30 therefore, 53*30=1590 Ans

25) How many positive integer solutions does the equation 2x+3y = 100 have?

a) 50

b) 33

c) 16

d) 35

Sol) There is a simple way to answer this kind of Q's given 2x+3y=100, take l.c.m of 'x' coeff and 'y' coeff i.e. l.c.m of

2,3 ==6then divide 100 with 6 , which turns out 16 hence answer is 16short cut formula--- constant / (l.cm of x

coeff and y coeff)

26) The total expense of a boarding house are partly fixed and partly variable with the number of boarders.

The charge is Rs.70 per head when there are 25 boarders and Rs.60 when there are 50 boarders. Find the

charge per head when there are 100 boarders.

a) 65

b) 55

c) 50

d) 45

Sol)

Let a = fixed cost and k = variable cost and n = number of boarders

total cost when 25 boarders c = 25*70 = 1750 i.e. 1750 = a + 25k

total cost when 50 boarders c = 50*60 = 3000 i.e. 3000 = a + 50k

solving above 2 eqns, 3000-1750 = 25k i.e. 1250 = 25k i.e. k = 50

therefore, substituting this value of k in either of above 2 eqns we get

a = 500 (a = 3000-50*50 = 500 or a = 1750 - 25*50 = 500)

so total cost when 100 boarders = c = a + 100k = 500 + 100*50 = 5500

so cost per head = 5500/100 = 55

27) Amal bought 5 pens, 7 pencils and 4 erasers. Rajan bought 6 pens, 8 erasers and 14 pencils for an amount

which was half more than what Amal had paid. What % of the total amount paid by Amal was paid for pens?

a) 37.5%

b) 62.5%

c) 50%

d) None of these

Sol)

Let, 5 pens + 7 pencils + 4 erasers = x rupees

so 10 pens + 14 pencils + 8 erasers = 2*x rupees

also mentioned, 6 pens + 14 pencils + 8 erarsers = 1.5*x rupees

so (10-6) = 4 pens = (2-1.5)x rupees

so 4 pens = 0.5x rupees => 8 pens = x rupees

so 5 pens = 5x/8 rupees = 5/8 of total (note x rupees is total amt paid byamal)

i.e 5/8 = 500/8% = 62.5% is the answer

28) I lost Rs.68 in two races. My second race loss is Rs.6 more than the first race. My friend lost Rs.4 more than

me in the second race. What is the amount lost by my friend in the second race?

Sol)

x + x+6 = rs 68

2x + 6 = 68

2x = 68-6

2x = 62

x=31

x is the amt lost in I race

x+ 6 = 31+6=37 is lost in second race

then my friend lost 37 + 4 = 41 Rs

29) Ten boxes are there. Each ball weighs 100 gms. One ball is weighing 90 gms.

i) If there are 3 balls (n=3) in each box, how many times will it take to find 90 gms ball?

ii) Same question with n=10

iii) Same question with n=9

when n=3

(i) nC1= 3C1 =3 for 10 boxes .. 10*3=30

(ii) 10C1=10 for 10 boxes ....10*10=100

(iii)9C1=9 for 10 boxes .....10*9=90

30) (1-1/6) (1-1/7).... (1- (1/ (n+4))) (1-(1/ (n+5))) = ?

leaving the first numerater and last denominater, all the numerater and denominater will cancelled out one

another.

Ans. 5/(n+5)

31) A face of the clock is divided into three parts. First part hours total is equal to the sum of the second and

third part. What is the total of hours in the bigger part?

Sol) the clock normally has 12 hr

three parts x,y,z

x+y+z=12

x=y+z

2x=12

x=6

so the largest part is 6 hrs

32) With 4/5 full tank vehicle travels 12 miles, with 1/3 full tank how much distance travels

Sol) 4/5 full tank= 12 mile

1 full tank= 12/(4/5)

1/3 full tank= 12/(4/5)*(1/3)= 5 miles

33) wind blows 160 miles in 330min.for 80 miles how much time required

Sol) 160 miles= 330 min

1 mile = 330/160

80 miles=(330*80)/160=165 min.

34) A person was fined for exceeding the speed limit by 10mph.another person was also fined for exceeding

the same speed limit by twice the same if the second person was travelling at a speed of 35 mph. find the

speed limit

Sol)

(x+10)=(x+35)/2

solving the eqn we get x=15

35) A sales person multiplied a number and get the answer is 3 instead of that number divided by 3. what is the

answer he actually has to get.

Sol) Assume 1

1* 3 = 3

1*1/3=1/3

so he has to got 1/3

this is the exact answer

36) A person who decided to go weekend trip should not exceed 8 hours driving in a day average speed of

forward journey is 40 mph due to traffic in Sundays the return journey average speed is 30 mph. How far he

can select a picnic spot.

37) Low temperature at the night in a city is 1/3 more than 1/2 hinge as higher temperature in a day. Sum of

the low temp and high temp is 100 c. then what is the low temp.

Ans is 40 c.

Sol) let x be the highest temp. then,

x+x/2+x/6=100.

therefore, x=60 which is the highest temp

and 100-x=40 which is the lowest temp.

38) car is filled with four and half gallons of oil for full round trip. Fuel is taken 1/4 gallons more in going than

coming. What is the fuel consumed in coming up.

Sol) let feul consumed in coming up is x. thus equation is: x+1.25x=4.5ans:2gallons

39) A work is done by the people in 24 min. One of them can do this work alone in 40 min. How much time

required to do the same work for the second person

Sol) Two people work together in 24 mins.

So, their one day work is

(1/A)+(1+B)=(1/24)

One man can complete the work in 40mins

one man's one day work (1/B)= (1/40)

Now,

(1/A)=(1/24)-(1/40)

(1/A)=(1/60)

So, A can complete the work in 60 mins.

40) In a company 30% are supervisors and 40% employees are male if 60% of supervisors are male. What is the

probability? That a randomly chosen employee is a male or female?

Sol) 40% employees are male if 60% of supervisors are male so for 100% is 26.4%so the probability is 0.264

41) In 80 coins one coin is counterfeit what is minimum number of weighing to find out counterfeit coin

Sol) the minimum number of wieghtings needed is just 5.as shown below

(1) 80->30-30

(2) 15-15

(3) 7-7

(4) 3-3

(5) 1-1

42) 2 oranges, 3 bananas and 4 apples cost Rs.15. 3 oranges, 2 bananas, and 1 apple costs Rs 10. What is the

cost of 3 oranges, 3 bananas and 3 apples?

2x+3y+4z=15

3x+2y+z=10 adding

5x+5y+5z=25

x+y+z=5 that is for 1 orange, 1 bannana and 1 apple requires 5Rs.

so for 3 orange, 3 bannana and 3 apple requires 15Rs.

i.e. 3x+3y+3z=15

43) In 8*8 chess board what is the total number of squares refers

Sol) odele discovered that there are 204 squares on the board We found that you would add the different squares -

1 + 4 + 9 + 16+ 25 + 36 + 49 + 64.

Also in 3*3 tic tac toe board what is the total no of squares

Ans 14 ie 9+4(bigger ones)+1 (biggest one)

If you ger 100*100 board just use the formula

the formula for the sum of the first n perfect squares is

n x (n + 1) x (2n + 1)

______________________

6

if in this formula if you put n=8 you get your answer 204

44) One fast typist type some matter in 2hr and another slow typist type the same matter in 3hr. If both do

combinely in how much time they will finish.

Sol) Faster one can do 1/2 of work in one hourslower one can do 1/3 of work in one hourboth they do (1/2+1/3=5/6)

th work in one hour.so work will b finished in 6/5=1.2 hour i e 1 hour 12 min.

45) If Rs20/- is available to pay for typing a research report & typist A produces 42 pages and typist B produces

28 pages. How much should typist A receive?

Here is the answer Find of 42 % of 20 rs with respect to 70 (i.e 28 + 42) ==> (42 * 20 )/70 ==> 12 Rs

46) An officer kept files on his table at various times in the order 1,2,3,4,5,6. Typist can take file from top

whenever she has time and type it.What order she cann't type.?

47) In some game 139 members have participated every time one fellow will get bye what is the number of

matches to choose the champion to be held?

the answer is 138 matches

Sol) since one player gets a bye in each round,he will reach the finals of the tournament without playing a match.

therefore 137 matches should be played to detemine the second finalist from the remaining 138 players(excluding

the 1st player) therefore to determine the winner 138 matches shd be played.

48) One rectangular plate with length 8inches, breadth 11 inches and 2 inches thickness is there. What is the

length of the circular rod with diameter 8 inches and equal to volume of rectangular plate?

Sol) Vol. of rect. plate= 8*11*2=176

area of rod=(22/7)*(8/2)*(8/2)=(352/7)

vol. of rod=area*length=vol. of plate

so length of rod= vol of plate/area=176/(352/7)=3.5

49) One tank will fill in 6 minutes at the rate of 3cu ft /min, length of tank is 4 ft and the width is 1/2 of

length, what is the depth of the tank?

3 ft 7.5 inches

50) A man has to get air-mail. He starts to go to airport on his motorbike. Plane comes early and the mail is

sent by a horse-cart. The man meets the cart in the middle after half an hour. He takes the mail and returns

back, by doing so, he saves twenty minutes. How early did the plane arrive?

Ans:10min:::assume he started at 1:00,so at 1:30 he met cart. He returned home at 2:00.so it took him 1 hour for

the total jorney.by doing this he saved 20 min.so the actual time if the plane is not late is 1 hour and 20 min.so the

actual time of plane is at 1:40.The cart travelled a time of 10 min before it met him.so the plane is 10 min early.

51) Ram singh goes to his office in the city every day from his suburban house. His driver Mangaram drops him

at the railway station in the morning and picks him up in the evening. Every evening Ram singh reaches the

station at 5 o'clock. Mangaram also reaches at the same time. One day Ram singh started early from his office

and came to the station at 4 o'clock. Not wanting to wait for the car he starts walking home. Mangaram starts

at normal time, picks him up on the way and takes him back house, half an hour early. How much time did Ram

singh walked?

52) 2 trees are there. One grows at 3/5 of the other. In 4 years total growth of the trees is 8 ft. what growth

will smaller tree have in 2 years.

Sol) THE BIG TREE GROWS 8FT IN 4 YEARS=>THE BIG TREE GROWS 4FT IN 2 YEARS.WHEN WE DIVIDE 4FT/5=.8*3=>2.4

ans: 1.5 mt 4 (x+(3/5)x)=88x/5=2x=5/4 after 2 years x=(3/5)*(5/4)*2 =1.5

53) There is a six digit code. Its first two digits, multiplied by 3 gives all ones. And the next two digits

multiplied by 6 give all twos. Remaining two digits multiplied by 9 gives all threes. Then what is the code?

sol) Assume the digit xx xx xx (six digits)

First Two digit xx * 3=111

xx=111/3=37

( first two digits of 1 is not divisible by 3 so we can use 111)

Second Two digit xx*6=222

xx=222/6=37


Thrid Two digit xx*9=333

xx=333/9=37


54) There are 4 balls and 4 boxes of colours yellow, pink, red and green. Red ball is in a box whose colour is

same as that of the ball in a yellow box. Red box has green ball. In which box you find the yellow ball?

Ans is green...

Sol) Yellow box can have either of pink/yellow balls.

if we put a yellow ball in "yellow" box then it wud imply that "yellow" is also the colour of the box which has the red

ball(becoz acordin 2 d question,d box of the red ball n the ball in the yellow box have same colour)

thus this possibility is ruled out...

therefore the ball in yellow box must be pink,hence the colour of box containin red ball is also pink....

=>the box colour left out is "green",,,which is alloted to the only box left,,,the one which has yellow ball..

55) A bag contains 20 yellow balls, 10 green balls, 5 white balls, 8 black balls, and 1 red ball. How many

minimum balls one should pick out so that to make sure the he gets at least 2 balls of same color.

Ans:he should pick 6 ball totally.

Sol) Suppose he picks 5 balls of all different colours then when he picks up the sixth one, it must match any on of

the previously drawn ball colour.

thus he must pick 6 balls

56) What is the number of zeros at the end of the product of the numbers from 1 to 100

Sol) For every 5 in unit palce one zero is added Ch eta naS

so between 1 to 100 there are 10 nos like 5,15,25,..,95 which has 5 in unit place.

Similarly for every no divisible by 10 one zero is added in the answer so between 1 to 100 11 zeros are added

for 25,50,75 3 extra zeros are added

so total no of zeros are 10+11+3=24

57) 10 Digit number has its first digit equals to the numbers of 1's, second digit equals to the numbers of 2's,

3rd digit equals to the numbers of 3's .4th equals number of 4's..till 9th digit equals to the numbers of 9's and

10th digit equals to the number of 0's. what is the number?.(6marks)

Ans:2100010006

2---shows that two 1's in the ans

1---shows that one 2 in ans

0---shows no 3 in the ans



1---shows one 6 in the ans




6---shows six 0's in the ans

58) There are two numbers in the ratio 8:9. if the smaller of the two numbers is increased by 12 and the larger

number is reduced by 19 thee the ratio of the two numbers is 5:9. Find the larger number?

sol) 8x:9x initialy

8x+ 12 : 9x - 19 = 5x:9x

8x+12 = 5x

-> x = 4

9x = 36 not sure about the answer ..

59) There are three different boxes A, B and C. Difference between weights of A and B is 3 kgs. And between B

and C is 5 kgs. Then what is the maximum sum of the differences of all possible combinations when two boxes

are taken each time

A-B = 3

B-c = 5

a-c = 8

so sum of diff = 8+3+5 = 16 kgs

60) A and B are shooters and having their exam. A and B fall short of 10 and 2 shots respectively to the

qualifying mark. If each of them fired atleast one shot and even by adding their total score together, they fall

short of the qualifying mark, what is the qualifying mark?

Ans is 11

coz each had atleast 1 shot done so 10 + 1 = 11

n 9 + 2 = 11

so d ans is 11

61) A, B, C, and D tells the following times by looking at their watches. A tells it is 3 to 12. B tells it is 3 past

12. C tells it is 12:2. D tells it is half a dozen too soon to 12. No two watches show the same time. The

difference between the watches is 2,3,4,5 respectively. Whose watch shows maximum time?

sol) A shows 11:57, B shows 12:03, C shows 12:02, and D shows 11:06 therefore, max time is for B

62) Falling height is proportional to square of the time. One object falls 64cm in 2sec than in 6sec from how

much height the object will fall.

Sol) The falling height is proportional to the squere of the time.

Now, the falling height is 64cm at 2sec

so, the proportional constant is=64/(2*2)=16;

so, at 6sec the object fall maximum (16*6*6)cm=576cm;

Now, the object may be situated at any where.

if it is>576 only that time the object falling 576cm within 6sec .Otherwise if it is situated<576 then it fall only that

height at 6sec.

63) Gavaskar average in first 50 innings was 50. After the 51st innings his average was 51 how many runs he

made in the 51st innings

Ans) first 50 ings.- run= 50*50=2500

51st ings.- avg 51. so total run =51*51=2601.

so run scored in that ings=2601-2500=101 runs.

64) Anand finishes a work in 7 days, Bittu finishes the same job in 8 days and Chandu in 6 days. They take

turns to finish the work. Anand on the first day, Bittu on the second and Chandu on the third day and then

Anand again and so on. On which day will the work get over?

a) 3rd

b) 6th

c) 9th

d) 7th

Ans is d) 7th day

Sol) In d 1st day Anand does 1/7th of total work

similarly,

Bithu does 1/8th work in d 2nd day

hence at d end of 3 days, work done = 1/7+1/8+1/6=73/168

remaining work = (168-73)/168 = 95/168

again after 6 days of work, remaining work is = (95-73)/168 = 22/168

and hence Anand completes the work on 7th day.(hope u understood.)

65) A man, a women and a child can do a piece of work in 6 days,man can do it in 14 days, women can do it 16

days, and in how many days child can do the same work?

The child does it in 24 days

66)

A: 1 1 0 1 1 0 1 1

B: 0 1 1 1 1 0 1 0

C: 0 1 1 0 1 1 0 1

Find ( (A-B) u C )==?

Hint : 109

A-B is {A} - {A n B}

A: 1 1 0 1 1 0 1 1

B: 0 1 1 1 1 0 1 0

by binary sub. a-b = 01100001 (1-0=1, 1-1=0,0-0=0, n for the 1st 3 digits 110-011=011)

now (a-b)uc= 01100001

or 01101101

gives 1101101... convert to decimal equals 109

Hi Friends,

First of all thanks a big thank to jwjobs.net and to my friends Niraj Jaiswal, Ankita Roy, Shashank jain, Rohit kamal, saxena, Ashutosh singh, motu, Shravan, Vineet for supporting me in getting placed in TCS.

Selection process:

1) Written test

2) Technical cum HR interview.

Written Test:

Written test consists of 35 questions 80 mins, previously it is 60 mins but now time they increased 20 mins. It is a online test.

Preparation: Up to my knowledge questions for written test is always from previous papers.so try papers given by various users in jwjobs.net and prepare quantitative aptitude by R.S Aggarwal.

1) The age of ram and sam are in the ratio 5:6 and after 4 years their ratios are 7:8 then what is the present age of sam?Ans: 12years (names and values may change)

2) There is a toy train that can make 10 musical sounds. It makes 2 musical sounds after being defective. What is the probability that same musical sound would be produced 5 times consecutively? (1 of )?Ans: 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/32

3) Find (4x+2y)/ (4x-2y) if x/2y=2

4) Find average speed if a man travels at speed of 14kmph up and 26kmph down at an altitude of 200m. Formula is 2xy/(x+y)

5) In school there are some bicycles and 4wheeler wagons.one Tuesday there are 190 wheels in the campus. How many bicycles are there?Ans: 15

6) Six friends go to pizza corner there are 2 types of pizzas. And six different flavors are there they have to select 4 flavors from 16 flavors. In how many ways we can select?Ans: 16C4

7) 3, 15, x, 51, 53,159,161. Find XAns: 17

3 friends A, B, C went for week end party to McDonald’s restaurant and there they measure there weights in some order IN 7 rounds. A;B;C;AB;BC;AC;ABC. Final round measure is 155 kg then find the average weight of all the 7 rounds?

Ans: 4(155)/7=31

8. The cost of making robot is divided into cost of material, cost of repairing and cost of painting in the ratio of 5:2:3. The cost used for material is 200. Find the total cost of making the robot?

Ans: 400 (just calculate it).

10) (There was a long story, I'll cut short it). There are 5 materials to make a perfume: Lilac, Balsamic, Lemon, and Woody and MI mosaic. To make a perfume that is in demand the following conditions are to be followed: Lilac and Balsamic go together. Woody and MI mosaic go together; Woody and Balsamic never go together. Lemon can be added with any material. (Actually they had also mentioned how much amount of one can be added with how much quantity of the other; but that's not needed for the question.) All of the following combinations are possible to make a perfume except:

1) Balsamic and Lilac2) Woody and Lemon3) MI mosaic and Woody4) MI mosaic and Lilac

11) A triangle is made from a rope. The sides of the triangle are A cm, B cm and C cm (I do not remember the numerical value). What will be the area of the square made from the same rope?Ans: ((A+B+C)/4)2

12) What is the distance of the z-intercept from the x-intercept in the equation ax+by+cz=d (I do not remember the values of a, b, c, d).

Ans: sqrt ((d/a) 2+ (d/c) 2)

13) A scientist in Antarctic region conducts research on bears came to know that bears changes according to the location .once he moves 1 mile towards north, then he moves 2 miles towards east, then 1 mile towards south. Now the color of bear he found will be in:

Ans: white

14) Two pipes A and B fill at A certain rate B is filled at 10,20,40,80,. If 1/16 of B if filled in 17 hours what time it will take to get completely filledAns 21

15) There are 11 boys in a family. Youngest child is a boy. What is the probability of all are boys?a) 2 b) 2! C) 2048 d) 1024

16) A boy bought a roll A of 56 inches wide and 141 yards long. He also bought B of 77 inches wide of length 333yards. We don’t want any details of B. Some irrelevant matter. Final question is Time taken for cutting A into 1 yard piece is 2 seconds. Time taken to cut into 141 pieces of 1 yard each is?

Ans is 2(141) =242

17) A Person buys a horse for 15 ponds, after one year he sells it for 20 pounds. After one year, again he buys the same horse at 30 pounds and sells it for 40 pounds. What is the profit for that person?

Ans is 15 pounds

18) There are 1000 pillars for a temple. 3 friends Linda, Chelsey, Juli visited that temple. (Some unrelated stuff) Linda is taller than Chelsea and taller than 2 of 1000 pillars. Julia is shorter than Linda. Find the correct sentence?

a) Linda is shorter among them

b) Chelsea is taller than Julia

c) Chelsea is shorter than Julia

d) Cannot determine who is taller among Chelsea and Julia

Ans: d

19) In a family there are some boys and girls. All boys told that they are having equal no of brothers and sisters and girls told that they are having twice the no. of brothers than sisters. How many boys and girls present in a family?

Ans is 4 boys and 3 girls

20) There are certain number of hats and gloves in a box. They are of 41 red, 23 green, 11 orange. Power gone. But a woman can differentiate between hats and gloves.How many draws are required to obtain a pair of each color.

21) There is a die with 10 faces. It is not known that fair or not. 2 captains want to toss die for batting selection. What is the possible solution among the following?

a) If no. is odd it is head, if no. is even it is tail

b) If no. is odd it is tail, if no. is even it is head

c) Toss a die until all the 10 digits appear on top face. And if first no. in the sequence is odd then consider it as tail. If it is even consider it as head.

I didn’t remembered last option and I don’t know answer.

22) 2 years ago of A is x times that of B. 3 Years hence the age of A is 4/3 times of B. What is the present age of B in binary form?

I didn’t remember the exact values of x and y. You can solve easily.

23) Ram buys a cycle for 31 dollars and given a cheque of amount 35 dollars. Shop Keeper exchanged the cheque with his neighbor and gave change to Ram. After 2 days, it is known that cheque is bounced. Shop keeper paid the amount to his neighbor. The cost price of cycle is 19 dollars. What is the profit/loss for shop keeper?

Ans is 23(cost price + change given).

24) metal strip of width ‘x’ cm. 2 metal strips are placed one over the other, then the combine length of 2 strips is ‘y’. If ‘z’ strips are placed in that manner. What is the final width of that arrangement?

Ans is (z-1) (y-x) +x.

25) A game is played between 2 players and one player is declared as winner. All the winners from first round are played in second round. All the winners from second round are played in third round and so on. If 8 rounds are played to declare only one player as winner, how many players are played in first round

Ans is 28.

26) There are 3 boys A, B, C and 2 Girls D, E. D always sit right to A. Girls never sit in extreme positions and in the middle position. C always sits in the extreme positions. Who is sitting immediate right to E?

Ans is B or C

27) 49 members attended the party. In that 22 are males, 17 are females. The shake hands between males, females, male and female. Total 12 people given shake hands. How many such kinds of such shake hands are possible?

Ans is 12C2

29) Entry ticket to an exhibition ranges from 1p to 31p. You need to provide exact change at the counter. You have 31p coin. In how many parts will u divide 31p so that u will provide the exact change required and carry as less coins as possible?

a) 22 b) 31 c) 6 d) 32

Ans is 6

30) There are 2 friends Peter and Paul. Peter age is twice as old as Paul when peter was as old as Paul is now. Sum of the present ages of Peter and Paul is 35.What is the present age of Peter?

Ans is 20

31) A lady took out jacket and gloves, which are avialable in blue 16, yellow 40 and red 36. Power goes off, she can distinguish between gloves and jacket but not in colors. What's the possibilty their she will pick up pair of gloves of each color.

Ans : very easy.

32) Two bowls are taken, one contains water and another contains tea.one spoon of water is added to second bowl and mixed well, and a spoon of mixture is taken from second bowl and added to the second bowl. Which statement will hold good for the above?(Ans: second liquid in first bowl is smaller than the first mixture in second bowl)

33) Rearrange and categorize the word ‘IGTRE’?Ans: Animal(TIGER)

34) A lies on mon, tues, wed and speak truths on other days, B lies on Thurs, Fri, Sat and speaks truths on other days. One day a said I lied today and B said I too lied today. What is the day?

35) One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child’s age and eldest child’s age is two times of sum of other two children. What is the age of eldest child?Ans: 18

I attempted 32 questions exactly as i know the answers already... hahaha...Result was declared on the next day but i was pretty sure that my name

will be announced in the list as my HR already told me that "i am done for the day and can go to hostel" thats the phrase that i'll always remember in my life.

I have to wait a whole one day for the results and finally TCS recruited 69 students from our college and i was one of them..yahoo!!!!!

Technical:

Frankly speaking i spend hardly 5 min in technical round and answers all the questions correctly with confidence. My technical is more or less a combination of technical and HR.

Second round starts with a funny question that whether i have a girl friend or not.. whether i drink or not etc. again my interview continue only for 2-3 min and i was told that i am selected and can go to the hostel and sleep.

Getting job in TCS is one of my great achievements in my life.

So do your home work well and keep faith in GOD.

All the best!

See you in TCS

Test Paper :6 Paper Type : Whole Testpaper Test Date : 11 February 2011 Test Location : JMIT, Radaur Posted By : Himanshu

Name: HimanshuStream: CSEStatus: Selected

Eligible: 388 + 30 ( Toppers). Toppers were directly eligble for TR.Written: 289Selected: 171 ( 22 toppers)

Here is my experience of TCS placement process. Thanks to almighty, my parents, Varun nd Shipra. Last but not least lala ji :)

Written Test

Within 80 minutes, u have to answer 35 question which have already seen by you ( i think). All questions are from touchstone and pattern. Digits can be chngd. Please attempt openseesame.

1. Hare in the other. The hare starts after the tortoise has covered 1/3 of its distance and that too leisurely3. A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the. The hare and tortoise meet when the hare has covered only 1/5 of the distance. By what factor should the hare increase its speed so as to tie the race?

Ans. 4.40

2.How many 4 digit numbers can be formed using the digits 1, 2,3,4 ,5 ( but with repetition) that are divisible by 4?

Ans. 5^3

3. Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari , the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Feraari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success .Rohit once bought a Ferrari . It could go 4 times as fast as Mohan's old Mercedes. If the speed of Mohan's Mercedes is 46 km/hr and the distance traveled by the Ferrari is 953 km, find the total time taken for Rohit to drive that distance.

a)20.72

b) 5.18

c)238.25

d)6.18

ans:(b)(time=distance/speed=953/4*46

4. keywords: alok, bhanu, want to maximize nd other want to minimize.15+X*Y-Z

For these type of ques, remember dis thumb rule..X*Y-Z=18X+Y-Z=11X-Y-Z=2

here Ans: 15+18=33This question was repeated three times in my paper.

5. The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. As one of the forerunners in the technology front, Tirnop continues to lead the way in products and services in India. At Tirnop, all programmers are equal in every respect. They receive identical salaries ans also write code at the same rate.Suppose 12 such programmers take 12 minutes to write 12 lines of code in total. How long will it take 72 programmers to write 72 lines of code in total?

ans 12 min

prgrmr*min/ loc= prgmr *min/ loc

This question was also repeated thrice.

a) no of programerb) no lines of codesc) how much time they will take.

6. On a sheet of paper, there are 40 statements. Each n statement states that "Atleast n number of statements on this sheet is false". Then which of the following is true.

ans first 20 statements are true and last 20 are false.

This question was also repeated thrice.

a) Atleast wid false ans first 20 r true and last 20 r false..b) Exactly wid true ans 39th z true nd rest r falsec) Atmost wid true or false ans all statements r true

7.There are 6 circles on a diagonal of square such that their centre lie on diagonal. Consider that radius of each circle is equal. Find the ratio between side of square and radius of circle.

10r+ 2sqrt(2)r= sqrt(2)a

nw find a/r.

8. There are 6 beer bottle nd one is poisoned. we have mice who will die within 14 hrs after drinkin poisned beer. In 24 hrs we have to find poisoned beer bottle. How many no of mice we require to find out poisoned bottle.

optionsa) 6b) 4

c) 3d) 1

i hav not answered dis question

9. keyword: Alok Bhanu, stack of 20 coins. i move can play. dat z 1th move means to put top coin 1 postion below. gold coin. initialy gold coin is at 3rd position from top. if itz player turns nd player brings gold coin to the top then player z winner. alok starts. which of the following is true.

a) alok must play 1th move to win.b) alok must play 0th move to winc) alok has no wining strategy

ans (a)

10 1/3 rd of a number is more 3 than the 1/6th of a number then find the number?

Ans:18

11. After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope?

a)0b)12/212c)11/12d)1/12

Ans:a (since 1 letter is in improper envelope other would definitely be in improper envelope)

12 There are two boxes, one containing 10 red balls and the other containing 10 green balls. You are allowed to move the balls between the boxes so that when you choose a box at random and a ball at random from the chosen box, the probability of getting a red ball is maximized. This maximum probability is

a)3/4

b)14/19

c)37/38

d)1/2

ans:b (probability of selecting a box=1/2.now keep 1 red ball in box a and transfer 9 red balls to b,so probability=1/2(1+9/19)

13 On the planet Oz, there are 8 days in a week- Sunday to Saturday and another day called Oz day. There are 36 hours in a day and each hour has 90 min while each minute has 60 sec. As on earth, the hour hand covers the dial twice every day.Find the approximate angle between the hands of a clock on Oz when the time is 9:40 am.a. 251b.111c.29d.89ANS: c

For 12:40 am ans z 89

14 Given a collection of points P in the plane, a 1-set is a point in P that can be separated from the rest by a line; i.e. the point lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n1(P). The maximum value of n1(P) over all configurations P of 9 points in the plane isa.10b.9c.3d.5

ans: b ( m nt sure)

15. .Planet fourfi resides in 4-dimensional space and thus the currency used by its residents are 3-dimensional objects. The rupee notes are cubical in shape while their coins are spherical. However the coin minting machinery lays out some stipulations on the size of the coins.The diameter of the coins should be at least 64mm and not exceed 512mm.Given a coin, the diameter of the next larger coin is at least 50% greater.The diameter of the coin must always be an integer.You are asked to design a set of coins of different diameters with these requirements and your goal is to design as many coins as possible. How many coins can you design?5968

Ans: c(hint:first coin has length 64 mm,2nd coin diamter length 64+(50/100)*64,3rd coin 2nd coins diameter length+50/100 of 2nd coinds lenght,in that way go till you reach maximum diamter length 512!now think!

16. The pacelength P is the distance between the rear of two consecutive footprints. For men, the formula, n/P = 144 gives an approximate relationship between n and P where, n = number of steps per minute and P = pacelength in meters. Bernard knows his pacelength is 164cm. The formula applies to Bernard's walking. Calculate Bernard's walking speed in kmph.23.6211.398.78236.16ans:a

17.A hollow cube of size 5 cm is taken, with a thickness of 1 cm. It is made of smaller cubes of size 1 cm. If 4 faces of the outer surface of the cube are painted, totally how many faces of the smaller cubes remain unpainted?800500488900

ans:side of cube = 5 cmits thichness = 1 cmso volume of outer cube = 5*5*5volume of inner cube = 3*3*3volume of the hollow cube = 5*5*5 - 3*3*3 = 98so total no of small cubes of the size 1 cm = 98/1*1*1 = 98we know a cube has 6 faces so total no of face = 98*6 = 588

one surface of outer cube contains a total of 25 surface of smaller cube , so when 4 surface of outer cube is painted total no of surface of small cubes i.e supposed to be painted is 4*25 = 100so the total no of surfaces of small cube that will be remained unpainted is 588-100 = 488

no of faces remain unpainted: 588-( 25* no faces painted)

18. 10 suspects are rounded by the police and questioned about a bank robbery. Only one of them is guilty. The suspects are made to stand in a line and each person declares that the person next to him on his right is guilty. The rightmost person is not questioned. Which of the following possibilities are true?A. All suspects are lying or the leftmost suspect is innocent.B. All suspects are lying and the leftmost suspect is innocent .A onlyB onlyNeither A nor BBoth A and B

19. A lady has fine gloves and hats in her closet- 18 blue, 32 red, and 25 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?a)50 b)8 c)60 d)42ans:60There can be lots of logic for this, but approach the simplest one so that we approach to one of the solutions. Suppose the lady first picks 32 Red gloves, and then 24 Yellow gloves. The next pair she pics will be one Yellow and One Blue which does not make a pair. The next two will be blue gloves. So she make a total of 32+24+1+1+2 = 60 picks.

20. One day Rapunzel meets Dwarf and Byte in the Forest of forgetfulness. She knows that Dwarf lies on Mondays, Tuesdays and Wednesdays, and tells the truth on the other days of the week. Byte, on the other hand, lies on Thursdays, Fridays and Saturdays, but tells the truth on the other days of the week. Now they make the following statements to Rapunzel – Dwarf: Yesterday was one of those days when I lie. Byte: Yesterday was one of those days when I lie too. What day is it?

a]Thursdayb]Tuesdayc]Sundayd]MondayANS::ThursdayExplanation :On Thursday, Dwarf says truth. i.e Yesterday(Wednesday) was one of those days when I lies. Its true.On the other hand, On Thursday, Byte lies. i.e Yesterday(Wednesday) was one of those days when I lie too. Its a lie.... So both satisfied. Hence its Thursday.

21 The citizens of planet nigiet are 5 fingered and have thus developed their decimal system in base 8.A certain street in nigiet contains 1000 (in base 5) buildings numbered 1 to 1000.How many 3s are used in numbering these buildings? Express result in terms of base 10.a) 54 b)64 c) 75 d) 100

I didnt ans it..

For base 8.. (8^2)*3 i dont know how to xpress it base 10

Out of 35 question i had attempted 33 question nd cut off was around 27. Accuracy matters. Put R. S. Aggarwal in ur drawer. For TCS RS Aggarwal is not required.

Test Paper :7 Paper Type : Whole Testpaper Test Date : 7 January 2011 Test Location : Kalyani Govt. Engg. College Posted By : Prakash Ranjanhii...my name is prakash ranjan.Im from Kalyani Govt. Engg. College..TCS come in my college on 7th jan 2011. i want share some of myexperience with all of u....At first we have a aptitude test of 80 min.Its online.I just give u sometricks of some problems asked in aptitude...

1. There are two water tanks A and B, A is much smaller than B. Whilewater fills at the rate of 1 liter every hour in A, it gets filled uplike, 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10liters, second hour it has 20 liters and so on). If tank B is 1/32filled of the 21 hours, what is total duration of hours required to fillit completely?ans.-here part filled is 1/32 then 1/32=1/(2)^5. so ans is 21+5.

2. 6 persons standing in queue with different age group, after two yearstheir average age will be 43 and seventh person joined with them. Hencethe current average age has become 45. Find the age of seventh person?ans.-Total age of 6 persons is x hours,after two years total age of 6persons is x+12Average age of 6 persons is after two years is 43So (x+12)/6=43,then x=246After 7th person is added then (246+7th person age)/7=457th person age = 69

3. One statement problem-in this problem ifatleast all statement are true - first part true and last part falseexactly all statement are true - second part true rest is falseatmost all statement are true - all are false.

4. The hare starts after the tortoise has covered 1/5 of its distanceand that too leisurely3. A hare and a tortoise have a race along acircle of 100 yards diameter. The tortoise goes in one direction andthe. The hare and tortoise meet when the hare has covered only 1/8 ofthe distance. By what factor should the hare increase its speed so as totie the race?in this problem atfirst find the ratio of the distance left to cover theturtle and distance by the hare. means-(87.5-20)/12.5=5.4and then 87.5/12.5=7and multiply these two 5.4*7=37.8

5. alok and Bhanu play the following min-max game. Given the expression

N = 9 + X + Y - Z

Where X, Y and Z are variables representing single digits (0 to 9), Alokwould like to maximize N while Bhanuwould like to minimize it. Towards this end, Alok chooses a single digitnumber and Bhanu substitutes this for a variable of her choice (X, Y orZ). Alok then chooses the next value and Bhanu, the variable tosubstitute the value. Finally Alok proposes the value for the remainingvariable. Assuming both play to their optimal strategies, the value of Nat the end of the game would be.ans.- in this problem there is 3 patern 1st X+Y-Z=11X*Y-Z=18X-Y-Z=2 u just add the to the no given.

6.- For the FIFA world cup, Paul the octopus has been predicting thewinner of each match with amazing success. It is rumored that in a matchbetween 2 teams A and B, Paul picks A with the same probability as A'schances of winning. Let's assume such rumors to be true and that in amatch between Ghana and Bolivia, Ghana the stronger team has aprobability of 2/3 of winning the game. What is the probability thatPaul will correctly pick the winner of the Ghana-Bolivia game?ans.- hare the answer is - 2/3*2/3+1/3*1/3=5/9

7.-After the typist writes 12 letters and addresses 12 envelopes, sheinserts the letters randomly into the envelopes (1 letter per envelope).What is the probability that exactly 1 letter is inserted in an improperenvelope?ans- 0

8.- There are two boxes, one containing 10 red balls and the othercontaining 10 green balls. You are allowed to move the balls between theboxes so that when you choose a box at random and a ball at random fromthe chosen box, the probability of getting a red ball is maximized. Thismaximum probability isans.- the tricks is - 1/2*1+(n-1)/(n-1+m)*1/2here n is the no. which have to be max. and m is the another no. here mis green ball and n is red ball.here ans is 14/19

9.- A and B play a game of dice between them. The dice consist of colorson their faces (instead of numbers). When the dice are thrown, A wins ifboth show the same color; otherwise B wins. One die has 4 red face and 2blue faces. How many red and blue faces should the other die have if theboth players have the same chances of winning?ans.- here the ans is 3red and 3 blue.

10.- On planet zorba, a solar blast has melted the ice caps on itsequator. 8 years after the ice melts, tiny plantoids called echina startgrowing on the rocks. echina grows in the form of a circle and therelationship between the diameter of this circle and the age of echinais given by the formulad = 4 * sqrt (t – 8)for t = 8

Where the represents the diameter in mm and t the number of years sincethe solar blast.Jagan recorded the time of some echina at a particular spot is 24 yearsthen what is diameter?ans- this is the simple problem just put the value of t and find d.

11.- A circular dartboard of radius 1 foot is at a distance of 20 feetfrom you. You throw a dart at it and ithits the dartboard at some point Q in the circle. What is theprobability that Q is closer to the center of the circle than theperiphery?ans.- here the tricks is (n/2)^2/n^2 here n is the radius of circle.

12.- 36 people {a1, a2, ..., a36} meet and shake hands in a circularfashion. In other words, there are totally 36 handshakes involving thepairs, {a1, a2}, {a2, a3}, ..., {a35, a36}, {a36, a1}. Then size of thesmallest set of people such that the rest have shaken hands with atleast one person in the set is.ans.- hare the tricks is if the handshake is circular and given no iseven-then n/2 if odd then n/3.and if hand shake is non circular then n-1.

13.- Alice and Bob play the following coins-on-a-stack game. 20 coinsare stacked one above the other. One of them is a special (gold) coinand the rest are ordinary coins. The goal is to bring the gold coin tothe top by repeatedly moving the topmost coin to another position in thestack.

Alice starts and the players take turns. A turn consists of moving thecoin on the top to a position i below the top coin (0 = i = 20). We willcall this an i-move (thus a 0-move implies doing nothing). The provisois that an i-move cannot be repeated; for example once a player makes a2-move, on subsequent turns neither player can make a 2-move. If thegold coin happens to be on top when it's a player's turn then the playerwins the game. Initially, the gold coinis the third coin from the top.

ans.- Ans is in order to win, Alice's first move should be a1-move.(This is the final ans.) 14.- The citizens of planet nigiet are 8 fingered and have thusdeveloped their decimal system in base 8. A certain street in nigietcontains 1000 (in base 8) buildings numbered 1 to 1000. How many 3s areused in numbering these buildings?ans.- here the tricks is 8*8+8*8+8*8=192 (here the base is 8)if the baseis n then n*n+n*n+n*n.

15.- Six friends decide to share a big cake. Since all of them like thecake, they begin quarreling who gets to first cut and have a piece ofthe cake. One friend suggests that they have a blindfold friend choosefrom well shuffled set of cards numbered one to six. You check and findthat this method works as it should simulating a fair throw of a die.

You check by performing multiple simultaneous trials of picking thecards blindfold and throwing a die. You note that the number shown bythe method of picking up a card and throwing a real world die, sums to anumber between 2 and 12. Which total would be likely to appear moreoften – 8,9 or 10?a) 8 b) All are equally likely c) 9 d) 10ans.- here the ans is 8. because 8 comes in 3 types(4+4,5+3,6+2),9 comesin 2 types(5+4,6+3),and 10 comes 2 types(5+5,6+4).

16.- How many of 14 digit numbers we can make with 1,2,3,4,5 that aredivisible by 4. Repetitions allowed.ans.- here ans is 5^(n-1) n is the 14.

17.- Which is the smallest no which divides 2880 and gives a perfectsquare?a) 4 b) 9 c) 3 d) 5ans.- 2880/5=576 and 576=24*24.

18.- 3 persons a,b,c were there A always says truth,B lies onMonday,tusday,& Wednesday.but C lies on thrusday,Friday & saturday .oneday A said”that B & C said to A that” B said “yesterday way one of thedays when I lies”,C said that”yesterday way one of the days when I liestoo”.then which day was that?ans.- the ans of all this type is Thursday.

19.-There 10 programers, type 10 lines with in 10 minutes then 60lines cantype within 60 minutes. How many programmers are needed?ans.- we have 3 question of this type the solution is based on time andwork.

20.-amrith told to Anand in front of a Photo that “He is the son of myfather’s son”.Find who is in the picture if amrith have no brothers andsisters.ans.- the ans is him means amrith itself.

21.- In T.Nagar the building were numbered from 1 to 100.Then how many4’s will be present in the numbers?ans.- Here if the n's is given then ans is 20. n's is from 2 to 9. andif 1 is given then ans is 21.

22.- If a and b are mixed in 3:5 ration and b and c are mixed in 8:5ration if the final mixture is 35 liters, find the amount of b?ans.- b/(a+b+c)*35.

23.- If there are 30 cans out of them one is poisoned if a person tastesvery little he will die within 14 hours so if there are mice to test and24 hours to test, how many mices are required to find the poisoned can?ans.- 6

24.- A man whose age is 45 yrs has 3 sons named John, Jill, jack. Hewent to a park weekly twice. He loves his sons very much. On a certain

day he found the shop keepers selling different things. An apple cost1penny, 2chocalate costs 1penny & 3 bananas cost 1 penny. He has boughtequal number of apple, chocolate & banana for each son. If the totalamount he invest is 7 penny then how many he has bought from each piecefor his son?ans.- 1 apple,2 chocklets,1bananas.simply 1 2 1.

25.- There are 1000 pillars for a temple. 3 friends Linda, Chelsey, Julivisited that temple. (Some unrelated stuff) Linda is taller than Chelseaand taller than 2 of 1000 pillars. Julia is shorter than Linda. Find thecorrect sentence?ans.-here p>j

26.-A lady has fine gloves and hats in her closet- 18 blue, 32 red, and 25 yellow. The lights are out and it is totally dark. In spite of thedarkness, she can make out the difference between a hat and a glove. Shetakes out an item out of the closet only if she is sure that if it is aglove. How many gloves must she take out to make sure she has a pair ofeach color?ans.- Here the tricks is at first take the ball is max. and then takesecond max. no. and 2. here ans is 32+25+2.

27.- A scientist was researching on animal behavior in his lab. He wasvery interested in analyzing the behavior of bear. For some reason hetravelled 1mile in north direction & reached at North Pole. There he sawa bear. He then followed the bear around 1 hr with a speed of 2km/hr ineast direction. After that he travelled in south direction & reached athis lab in2 hrs. Then what is the color of the bear?ans.- ans is white bear.

Hi Friends,

I am Hemant Verma from CSE branch 2011, UIT-RGPV, Bhopal. It’s 15 Jan 2011 which is day for TCS campus drive. Its very exciting day for eveyone on UIT-RGPV since all branches is allowed to appear in TCS. Also the criteria for TCS are 60% throughout. But for most CSE students especially me it’s my dream company. Since I have aggregate of marks 63.8% only I can’t appear for Infosys because Infosys demands for 65% aggregate throughout.

TCS campus includes 3 rounds:

1. Online written test on Touchstone: Includes 35 questions only from aptitude & negative marks 1/3rd per question.

2. Technical & MR: Includes technical questions especially from your favorite subjects which are mentioned on your resume.

3. HR round: Its just final round to know about you and your family backgrounds.

First we appear for written at about 12:30 pm.

Most of the questions come from last year papers have some different data.

Please refer www.freshersworld.com on the front page down there is list of companies and click on TCS.You get latest updates of papers there. I have remember only 26 questions there. But some questions have no answer please solve them or search them on Google.

NOTE: Questions or methods are same but in online written different data’s are used. Be careful before attempt questions on written. Kindly give mock test on Touchstone referred by your institute. It is very helpful for main written exam.

Q1) Given a collection of points P in the plane, a 1-set is a point in P that can be separated from the rest by a line, .i.e. the point lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n1(P). The minimum value of n1(P) over all configurations P of 5 points in the plane in general position (.i.e. no three points in P lie on a line) isa) 3 b) 5 c) 2

Q2) Paul the octopus who has been forecasting the outcome of FIFA world cup matches with tremendous accuracy has now been invited to predict ICC world cup matches in 2011. We will assume that the world cup contenders have been divided into 2 groups of 9 teams each. Each team in a group plays the other teams in the group. The top two teams from each group enter the semi finals (after which the winner is decided by knockout).

However, Paul has a soft spot for India and when India plays any team, Paul always backs India. Alas, his predictions on matches involving India are right only 2 out of 3 times. In order to qualify for the semi finals, it is sufficient for India to win 7 of its group matches. What is the probability that India will win the ICC world cup?

a) (2/3)^10

b) (2/3)^9 + 8/3 * (2/3)^9

c) 8/3 * (2/3)^9

d) (2/3)^10 + 8/3*(2/3)^9

Q3) A toy train produces at least 10 different tunes when it moves around a circular toy track of radius 5 meters at 10 meters per minute. However, the toy train is defective and it now produces only two different tunes at random. What are the odds that the toy train produces 4 consecutive music tunes of the same type?

a) 1 in 16 b) 1 in 4 c) 1 in 8

Q4) A number when divided by D leaves a remainder of 8 and when divided by 3D leaves a remainder of 21. What is the remainder left, when twice the number is divided by 3D?a) 13 b) cannot be determinedc) 3d) 42

(solution:c)

Q5) Six friends decide to share a big cake. Since all of them like the cake, they begin quarreling who gets to first cut and have a piece of the cake. One friend suggests that they have a blindfold friend choose from well shuffled set of cards numbered one to six. You check and find that this method works as it should simulate a fair throw of a die. You check by performing multiple simultaneous trials of picking the cards blindfold and throwing a die. You note that the number shown by the method of

http://www.freshersworld.com/

picking up a card and throwing a real world die, sums to a number between 2 and 12. Which total would be likely to appear more often – 8,9 or 10?a) 8 b) All are equally likelyc) 9d) 10

Q6) One day Alice meets pal and byte in fairyland. She knows that pal lies on Mondays, Tuesdays and Wednesdays and tells the truth on the other days of the week byte, on the other hand, lies on Thursdays, Fridays and Saturdays, but tells the truth on the other days of the week. Now they make the following statements to Alice – pal. Yesterday was one of those days when I lie byte. Yesterday was one of those days when I lie too. What day is it ?a) Thursday b) Tuesdayc) Mondayd) Sunday (solution:a) Q7) A car manufacturer produces only red and blue models which come out of the final testing area completely at random. What are the odds that 5 consecutive cars of the same color will come through the test area at any one time?

a) 1 in 16 b) 1 in 125c) 1 in 32 d) 1 in 25

Q8) Alok is attending a workshop “How to do more with less” and today's theme is working with fewer digits. The speakers discuss how a lot of miraculous mathematics can be achieved if mankind (as well as womankind) had only worked with fewer digits.

The problem posed at the end of the workshop is

How many four digit numbers can be formed using the digits 1, 2,3,4 ,5 ( but with repetition) that are divisible by 4?

Can you help Alok find the answer?a) 100 b) 125 c) 75 d) 85

Q9) Rearrange the following letters to make a word and choose the category in which it Ms RAPETEKAa) Bird b) Vegetable c) City d) Fruit

Q10) On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula

d = 4*√ (t-9) for t ≥ 9

Where d represents the diameter in mm and t the number of years since the solar blast.

Jagan recorded the radius of some echina at a particular spot as 7mm. How many years back did the solar blast occur?a) 17 b) 21.25 c) 12.25 d) 12.06 (solution:b)

Q11) In the reading room of a library, there are23 reading spots. Each reading spot consists of a round table with 9 chairs placed around it. There are some readers such that in each occupied reading spot there are different numbers of readers. If in all there are 36 readers, how many reading spots do not

have even a single reader?a) 8 b) None c) 16 d) 15 (solution:d)

Q12) Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari , the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Feraari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success .Rohit once bought a Ferrari . It could go 4 times as fast as Mohan's old Mercedes. If the speed of Mohan's Mercedes is 46 km/hr and the distance traveled by the Ferrari is 953 km, find the total time taken for Rohit to drive that distance.

a) 20.72 b) 5.18 c) 238.25 d) 6.18 (solution:b)

Q13) A sheet of paper has statements numbered from 1 to 70. For all values of n from 1 to 70. Statement n says ' At least n of the statements on this sheet are false. ' Which statements are true and which are false?a) The even numbered statements are true and the odd numbered are false.b) The odd numbered statements are true and the even numbered are false.c) The first 35 statements are true and the last 35 are false.d) The first 35 statements are false and the last 35 are false. (solution:d)

Q14) Middle – earth is a fictional land inhabited by Hobbits, Elves, dwarves and men. The Hobbits and the Elves are peaceful creatures who prefer slow, silent lives and appreciate nature and art. The dwarves and the men engage in physical games. The game is as follows . A tournol is one where out of the two teams that play a match, the one that loses get eliminated. The matches are played in different rounds where in every round; half of the teams get eliminated from the tournament. If there are 8 rounds played in a knock-out tournol how many matches were played?a) 257 b) 256 c) 72 d) 255 (solution:d)

Q15) A research lab in Chennai requires 100 mice and 75 sterilized cages for a certain set of laboratory experiments. To identify the mice, the lab has prepared labels with numbers 1 to 100, by combining tags numbered 0 to 9. The SPCA requires that the tags be made of toxin-free material and that the temperature of the cages be maintained at 27 degree Celsius. Also, not more than 2 mice can be caged together and each cage must be at least 2 sq.ft in area. The 5 experiments to be conducted by lab are to be thoroughly documented and performed only after a round of approval by authorities. The approval procedure takes around 48 hours. How many times the tag is numbered '4' used by the lab in numbering these mice?a) 9 b) 19 c) 20 d) 21 (solution:b)

Q16) There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one litre every hour in A, it gets filled up like 10, 20, 40, 80, 160... in tank B.( At the end of first hour, B has 10 litres , second hour it has 20, and so on). If tank B is 1/32 filled after 21 hours, what is the total duration required to fill it completely?

a) 26 hrs b) 25 hrs c) 5 hrs d) 27 hrs (solution: a)

Q17) Consider two tumblers, the first containing one litre of coffee. Suppose you take one spoon of water out of the first tumbler and pour it into the second tumbler. After moving you take one spoon of

the mixture from the second tumbler and pour it back into the first tumbler. Which one of the following statement holds now?

a) There is less coffee in the first tumbler than water in the second tumbler.b) There is more coffee in the firs tumbler than water in the second tumblerc) There is as much coffee in the first tumbler as there is water in the second tumblerd) None of the statements holds true.

Q18) Francois Pachet, a researcher at Sony Computer Science laboratories is also a jazz musician. He decided to build a robot able to improvise like a pro. Named Continuator, the robot can duet with a live musician in real- time. It listens to a musical phrase and then computes a complementary phrase with the same playing style. If the cost of making the robot is divided between and then computes a complementary phrase with the same playing style. If the cost of making the robot is divided between materials, labour and overheads in the ratio of 4:6:2.If the materials cost $108. the cost of the robot isa) $270 b) $324 c) $216 d) $ 648 (solution:b)

Q19) A lady has fine gloves and hats in her closet- 18 blue- 32 red and 25 yellow. The lights are out and it is totally dark inspite of the darkness. She can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each colour?a) 50 b) 8 c) 60 d) 42

Q20) A man jogs at 6 mph over a certain journey and walks over the same route at 4 mph. What is his average speed for the journey?a) 2.4 mph b) 4 mph c) 4.8 mphd) 5 mph (solution:d)

Q21) Spores of a fungus, called late blight, grow and spread infection rapidly. These pathogens were responsible for the Irish potato famine of the mid-19th century. These seem to have attacked the tomato crops in England this year. The tomato crops have reduced and the price of the crop has risen up . The price has already gone up to $45 a box from $27 a box a month ago. How much more would a vegetable vendor need to pay to buy 27 boxes this month over what he would have paid last month?a) $27 b) $ 18 c) $45 d) $ 486

Q22) Given a collection of 36 points P in the plane and a point equidistant from all points in P, which of the following are necessarily true?A. The points in P lie on a circle.B. The distance between any pair of points in P is larger than the distance between X and a point in P

a) A and B b) Neither A nor B c) B only d) A only

Q23) In the year 2002, Britain was reported to have had 4.3m closed – circuit television (CCTV) cameras – one for every 14 people in the country . This scrutiny is supposed to deter and detect crime. In one criminal case, the police interrogates two suspects . The ratio between the ages of the two suspects is 6:5 and the sum of their ages is 6:5 and the sum of their ages is 55 years. After how many years will the ratio be 8:7.?

a) 11 b) 6 c) 10 d) 5

Q24) Susan made a block with small cubes of 8 cubic cm volume to make a block 3 small cubes long, 9 small cubes wide and 5 small cubes deep. She realizes that she has used more small cubes than she really needed. She realized that she could have glued a fewer number of cubes together to lock like a block with same dimensions, if it were made hollow. What is the minimum number of cubes that she needs to make the block?a) 114 b) 135 c) 21 d) 71

Q25) Alok and Bhanu play the following coins in a circle game. 99 coins are arranged in a circle with each coin touching two other coin. Two of the coins are special and the rest are ordinary. Alok starts and the players take turns removing an ordinary coin of their choice from the circle and bringing the other coins closer until they again form a (smaller) circle. The goal is to bring the special coins adjacent to each other and the first player to do so wins the game. Initially the special coins are separated by two ordinary coins O1 and O2. Which of the following is true?

a) In order to win, Alok should remove O1 on his first turn.b) In order to win, Alok should remove one of the coins different from O1 and O2 on his first turn.c) In order to win, Alok should remove O2 on his first turn.d) Alok has no winning strategy.

Q26) There are two pipes A and B. If A filled 10 liters in hour B can fills 20 liters in same time. Likewise B can fill 10, 20, 40, 80,160….if B filled in (1/16) th of a tank in 3 hours, how much time will it take to fill completely? Ans: 7 hours

After half an hour our results have been announced. It’s very exciting moment when they declare the names list in the alphabetical order. I start praying to GOD for being selected. Finally my name was announced and I am so excited that I have cleared first round.

Hello Friends, Firstly I would like to thanks Freshersworld.com and all my friends for supporting me and final result was my selection in TCS. Really I believe in that” Long hours doesn’t mean anything, it’s the result that counts not mere efforts”. So friends let me describe my success story: On 15/01/2011 TCS conducted written examination. Around 410 students participated and finally 256 students were selected in this written examination and then after interview session finally 173 students were selected. And by this figure our college has made a record of maximum no of selections in M.P in TCS. So Selection Procedure is divided into 3 states: 1) Written Test2) Technical Interview 3) HR interview Written Test: Written test consists of 35 questions 80 mins, It is a online test.

Below I share some of the questions. Q1. (1/2) of a number is 3 more than the (1/6) of the same number?a) 6 b) 7 c) 8 d) 9 Solution:Let the number be x,((1/2)*x)=3+(1/6)*x,Then solve x Q2. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1 liter every hour in A, it gets filled up like, 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10 liters, second hour it has 20 liters and so on). If tank B is 1/32 filled of the 21 hours, what is total duration of hours required to fill it completely?a) 26 B) 25 c) 5 d) 27 Solution: for every hour water in tank in B is doubled, Let the duration to fill the tank B is x hours. x/32 part of water in tank of B is filled in 21 hours, Next hour it is doubled so, 2*(x/32) part i.e (x/16) part is filled in 22 hours,Similarly (x/8)th part in 23 hours,(x/4)th part is filled in 24 hours, (x/2)th part is filled in 25 hours, (x)th part is filled in 26 hours So answer is 26 hours. Q3. Out of 7 children the youngest is boy then find the probability that all the remaining children are boysa) 1/64 b) 1/32 c) 1/128 d) 1/256 Solution: Probability of a boy or girl is ½So for remaining 6 it’s – {1/2}^6= 1/64 Q4. A lady has fine gloves and hats in her closet- 14 blue, 20 red, and 18 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?a) 50 b) 8 c) 40 d) 42 Solution:This is the most repeated question in Tcs so prepare it well. It has no logic but it’s answer comes like this Firstly add 2 max values i.e 20+18=38Then add 2 to answer i.e. 38+2=40 so this is the answer. Q5. Sangakara and Ponting selects batting by using a dice, but dice is biased. So to resolve, Ponting takes out a coin. What is the probability that coin shows correct option?a) 1/2 b) 1/6 c) 1/12 d) 6/10 Solution is ½. Q6. On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula d = 4*√ (t-9) for t ≥ 9 where d represents the diameter in mm and t the number of years since the solar blast.Jagan recorded the radius of some echina at a particular spot as 7mm. How many years back did the solar blast occur?a) 17 b) 21.25 c) 12.25 d) 14.05

Solution: radius =7mm, then diameter 2*radius, substitude diameter the in above equation you will get answer Q7. Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Ferrari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success .Rohit once bought a Ferrari. It could go 4 times as fast as Mohan's old Mercedes. If the speed of Mohan's Mercedes is 35 km/hr and the distance traveled by the Ferrari is 490 km, find the total time taken for Rohit to drive that distance.a) 20.72 b) 3.5 c) 238.25 d) 6.18 Solution: Speed of Ferrari =4*35=140,time=distance/velocity, Q8. Entry ticket to an exhibition ranges from 1p to 31p. You need to provide exact change at the counter. You have 31p coin. In how many parts will u divide 31p so that u will provide the exact change required and carry as less coins as possible?a) 4 b) 5 c) 6 d) 7 Solution: Will be 5.For 31p, we divide it 1,2,4,8,16. Q9. John buys a cycle for 31 dollars and given a cheque of amount 35 dollars. Shop Keeper exchanged the cheque with his neighbor and gave change to John. After 2 days, it is known that cheque is bounced. Shop keeper paid the amount to his neighbor. The cost price of cycle is 19 dollars. What is the profit/loss for shop keeper?a) loss 23 b) gain 23 c) gain 54 d) Loss 54 Solution: 23 lossas he has to pay 35 dollar to neighbor he has only 31 remainingso 35-31=4and cycle costs 19 dollarso total loss=19+4=23 dollar Q10. If there are 30 cans out of them one is poisened if a person tastes very little he will die within 14 hours so if there are mice to test and 24 hours to test, how many mices are required to find the poisened can?A) 3 B) 2 C) 6 D) 1 Solution: 1Because in that problem they didn't mention the details like,one mice take 2 hr or 3hr etc. They told only 24 hr to test. So 1 mice is enough rest are useless words. Q11. A Sheet of paper has statements number from 1 to 20. Statement n says "At least n of the statements on this sheet are true". Which statements are true and which are false. a. The even no statements are true and the odd no statements are false.b. The 1st 13 statements are false and rest are true.c. The 1st 6 statements are true and rest are falsed. The odd no statements are true and even no. are false. Solution: This type of question was repeated 3 times but for different case.For this type of Questions, follow this:At least- Ist half are true, Last half are falseExactly- Last second one is true or (N-1)th Statement is trueAlmost- All are true.So correct answer is (C)

Q12. On the planet Oz, there are 8 days in a week- Sunday to Saturday and another day called Oz day. There are 36 hours in a day and each hour has 90 min while each minute has 60 sec. As on earth, the hour hand covers the dial twice every day.Find the approximate angle between the hands of a clock on Oz when the time is 12:40 am. Solution: 89 deg 36 hours a day mane the clk will be of 18 hours.18 hours covrs 360 degThus 1 hour covrs 20 deg12 hours covers 12*20=240 degekhon,1 hour in 90 minthus in 90min the hour hand goes 20degtai, for 1min hr hand goes 2/9degsei jonne, for 40 min hour hnd goes (2/9)*40deg=80/9deg=9deg(approx)thus hr hand covrs total of 240+9=249degnow min hand covrs=40*4=160deg(karon, 90min=360deg1min=4deg)hus angle betwn them 249-160=89deg Q13. There are 5 materials to make a perfume: Lilac, Balsamic, Lemon, and Woody and MI mosaic. To make a perfume that is in demand the following conditions are to be followed: Lilac and Balsamic go together. Woody and MI mosaic go together; Woody and Balsamic never go together. Lemon can be added with any material. (Actually they had also mentioned how much amount of one can be added with how much quantity of the other; but that is not needed for the question) All of the following combinations are possible to make a perfume except:1) Balsamic and Lilac2) Woody and Lemon3) MI mosaic and Woody4) MI mosaic and Lilac Solution: First is acceptable for perfume since balsamic and liliac are given to be present and second is also acceptable as lemon can be added with any of four, third is also acceptable as given in question left fourth is not acceptable as MI mosaic is always with woody and balsamic is always with liliac. Therefore combination of MI mosaic and liliac cant occur because woody and balsamic are never together Q14: Alok and Bhanu play the following min-max game. Given the expression N = 15 + X*(Y â€“ Z) Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be? Note: For this type of questions:x+y-z=11x-y-z=2x*(y+z)=18What should be the approach to do such type of prob? Solution: This question was repeated 3 times for different casesYeah TCS has this 3 type of questions where there isx+y-z,=11x-y-z ==2and x*(y+z)=18

If an integer is added to any of the above equations just add the integer to the value of the equations. For example in this case it would be 15+18=33. (don't ask me for explanations why this value comes for those equations. It took me some gruelling sessions to understand that) Q15. Consider two tumblers, the first containing Water and next contains coffee. Suppose you take one spoon of water out of the first tumbler and pour it into the second tumbler. After moving you take one spoon of the mixture from the second tumbler and pour it back into the first tumbler. Which one of the following statement holds now? a) There is less coffee in the first tumbler than water in the second tumblersb) There is more coffee in the firs tumbler than water in the second tumblerc) There is as much coffee in the first tumbler as there is water in the second tumblerd)None of the statements holds true Solution: aThere is less coffee in the first tumbler than water Q16. Shreya writes 1st 100 whole num. let A and B be the num of times she writes 0 and 9 respectively, find the value of A+B Solution:First 100 whole nos=0 to 99.thus A=no.of 0's=(0,10,20,30,40,50,60,70,80,90)=10B=no. of 9's=(9,19,29,39,49,59,69,79,89,90,91,92,93,94,95,96,97,98,99)=20A+B=30 Q17. When my uncle died, he left a will instructing his executers to divide his estate of 19,80,000 in this manner.Every son should receive 3 times as much as a daughter and that evry daughter should get twice as much as their mother. what is my aunt's maximum share if my uncle has atleast one son and one daughter?(a) 19,80000 (b) 9,90,000 (c) 3,30,000 (d) 2,20,000 (e) 1,98,00 Solution:1+2+6=91980000/9=220000220000(mother)440000(daughter)1320000(brother)Answer is 220000(d) Q18. There are 3 boys A,B,C and 2 girls D,E. D always sit right to A.girls never sit in extreme positions and in the middle position. C always sits in the extreme positions. who is sitting immediate right to E? Solution:A D B E Cright of e is cNow come to interview part:

Test Paper :11 Paper Type : Whole Testpaper Test Date : 15 January 2011 Test Location : Technocrats Institute Of Technology, Bhopal Posted By : Abhinav DwivediHello Friends,

TCS came to our college (Technocrats Institute Of Technology, Bhopal) on 15th January and made the highest number of selection in the Madhya Pradesh region in this session with 173 selections from our college. There were only 3 rounds: 1) Written test2) Technical round3) HR round There were around 340 students who sat for the campus out of which 243 cleared the written and finally 173 were selected from the college.

It was very easy exam as compared with other company written exams. Test contains 35 questions, only from quantitative, in 60 minutes. You can get through if you prepared with previous papers All patterns are same but with different values. Refer Freshersworld.com question papers.

I am giving the answers that are 100 % correct because we have researched a lot on the answers with friends and got the most correct answers after consulting the we and the yahoo groups.

Written questions 1) (1/3) of a number is 3 more than the (1/6) of the same number?a) 6 b) 16 c) 18 d) 21Ans- x/3=x/6 +3 …..solve ans is 18

2) There are two pipes A and B. If A filled 10 liters in an hour, B can fill 20 liters in same time. Likewise B can fill 10, 20, 40, 80, 160. If B filled in 1/16 of a tank in 3 hours, how much time will it take to fill the tank completely?a) 9 B) 8 c) 7 d) 6

This question repeated two times in my paper Ans: (b) these type of que are repeated frequently but the numeric values change.Simple approach is- count the number of hours taken to fill the part of the tank from the given part ie. Initially the tank is 1/32 then after 1 hour it will become 1/16 then 1/8 then ¼ then ½ then 1. Here 1 is the state when the tank is full so the number of hours is (1+1+1+1+1)=5. Now add this number of hours to the given time ie 5+3=8 3) A lady has fine gloves and hats in her closet- 18 blue, 32 red, and 25 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?a) 50 b) 8 c) 60 d) 42

Ans: Do not get trapped in these type of questions .a very simple trick to solve these type of question is just see the max and the middle value of gloves and hats …ie 32 and 25 . just add max+min_values +2 or 1 or 3 ie 32+25+3=60 the answer will definitely fall in this range as 60 here

4) Middle- earth is a fictional land inhabited by hobbits, elves, dwarves and men. The hobbits and elves are peaceful creatures that prefer slow, silent lives and appreciate nature and art. The dwarves and the men engage in physical games. The game is as follows. A tournament is one where out of the two teams that play a match, the one that loses get eliminated. The matches are played in different rounds, where in every round; half of the teams get eliminated from the tournament. If there are 8 rounds played in knock out tournament, how many matches were played?a) 257 b) 256 c) 72 d) 255

Ans: (255) there are two varieties of this type of que in one they ask about the number of matches in the first round …so solution to that is 2^(number of rounds)…ie 2^8=256 another variety is the number of matches played in the tournament so ans is 2^(number of teams )-1 ..ie 2^8 -1=255

5) Ferrari S.P.A is an Italian sports car manufacturer based in Marane llo, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Ferrari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success .Rohit once bought a Ferrari. It could go 4 times as fast as Mohan's old Mercedes. If the speed of Mohan's Mercedes is 46 km/hr and the distance traveled by the Ferrari is 953 km, find the total time taken for Rohit to drive that distance.a) 20.72 b) 5.18 c) 238.25 d) 6.18

Ans very simple question approach is time =dist./speed ie 953/(4*35)=6.18 6) how many 8 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if repetition of digits is allowed? Ans: (78125) simple trick to these type of que is that 5^(number of digits-1) ie 5^(8-1) i.e. 5^(7)=78125By math’s first 6 digits of the 8 digit number can be filled in by using any 5 digits given so it come out (5*5*5*5*5*5) and last two must be divisible by 4 ie (44,52,32,12,24) are the 5 possibilities. So the anwer is (5*5*5*5*5*5*5=5^7)

7) Hare in the other. The hare starts after the tortoise has covered 1/5 of its distance and that too leisurely3. A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the. The hare and tortoise meet when the hare has covered only 1/8 of the distance. By what factor should the hare increase its speed so as to tie the race?a) 37.80 b)8 c) 40 d) 5Ans: 37.80

8) Alok and Bhanu play the following min-max game. Given the expression

N = 9 + X + Y - Z Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would bea) 0 b) 27 c) 18 d) 20 Ans: Do not get trapped in this que i am giving a very short trick that guarantees 100% correct solution just add the following number if the que contains the following changes X*(Y-Z) then add 18 to the given constant to get N….ie 9+18=27X+(Y-Z) = then add the 12 ie 9+11=20X-(Y-Z) is then add 2 ie 9+2=11 9) For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A's chances of winning. Let's assume such rumors to be true and that in a match between Ghana and Bolivia, Ghana the stronger team has a probability of 2/3 of winning the game. What is the probability that Paul will correctly pick the winner of the Ghana-Bolivia game?

a)1/9 b)4/9 c)5/9 d)2/3Ans: 5/9….just do 1-(probability)^2…..1-(2/3)^2

11). On planet zorba, a solar blast has melted the ice caps on its equator. 8 years after the ice melts, tiny planetoids called echina start growing on the rocks. echina grows in the form of a circle and the relationship between the diameter of this circle and the age of echina is given by the formulad = 4 * sqrt (t – 8)for t = 8Where the represents the diameter in mm and t the number of years since the solar blast. Jagan recorded the time of some echina at a particular spot is 24 years then what is diameter?

a) 8 b) 16 c) 25 d) 2 Ans: Put the value of years in equation and get the answer ie 10) A sheet of paper has statements numbered from 1 to 70. For all values of n from 1 to 70. Statement n says ' At least n of the statements on this sheet are false. ' Which statements are true and which are false?a) The even numbered statements are true and the odd numbered are false.b) The odd numbered statements are true and the even numbered are false.c) The first 35 statements are true and the last 35 are false.d) The first 35 statements are false and the last 35 are false.Ans: c There are two more varieties of this type of questions. I am giving those also below just concentrate on the part underlined in the questions and mark the answer. 11) A sheet of paper has statements numbered from 1 to 40. For all values of n from 1 to 40, statement n says: 'Exactly n of the statements on this sheet are false.' Which statements are true and which are false?

a) The even numbered statements are true and the odd numbered statements are false. b) The odd numbered statements are true and the even numbered statements are false. c) All the statements are false. d) The 39th statement is true and the rest are false.Ans: d

12) The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. As one of the forerunners in the technology front, Tirnop continues to lead the way in products and services in India. At Tirnop, all programmers are equal in every respect. They receive identical salaries ans also write code at the same rate.Suppose 12 such programmers take 12 minutes to write 12 lines of code in total. How long will it take 72 programmers to write 72 lines of code in total?a) 6 b) 18 c) 72 d) 12 Ans: d (w1/w2=m1*t1/m2*T2) 13) A circular dartboard of radius 1 foot is at a distance of 20 feet from you. You throw a dart at it and it hits the dartboard at some point Q in the circle. What is the probability that Q is closer to the center of the circle than the periphery?a)0.75 b)1 c)0.5, d)0.25Ans: Probability= (area of inner circle)/(area of outer circle)i.e (r/2)^2/r^2 =1/4=0.25 14) After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope?a) 0 b) 1/12 c) 11/12 d) 12/212

Ans: 0 This questions repeated in my paper thrice. 15) Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines isa) 4 b) 3 c) 1 d) 0 Ans: 4 If it is given line then there are 4 points – one inCentre and three circumcentresIf it it given line segment then and is 1 bcoz only one incentre is there 16) For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A's chances of winning. Let's assume such rumors to be true and that in a match between Ghana and Bolivia, Ghana the stronger team has a probability of 2/3 of winning the game. What is the probability that Paul will correctly pick the winner of the Ghana-Bolivia game?a) 5/9 b) 1/9 c) 2/3 d) 4/9 Ans: 5/9 17) Mr. Bean went to a shop for buying a gift to his wife on her Birthday. He bought 28 purple marbles as her wife was fond of marbles. He also bought 21greem marbles. While coming out of the shop on the way he also bought 24 red, 42 yellow and 12 pink marbles and he put them all in a bag. When he was returning back to the home a lightning occurred and suddenly due to some reasons the red, green, and yellow balls got converted into white color. But in spite of this Mr. Beans decided to give few marbles to his lovely wife. So, how many times he should put his hand in the bag so that he can gift his wife at least one ball of each color.

Ans: logic is same as I told in the question 3 i.e 24+42+2=68

18) Alice and Bob play the following coins-on-a-stack game. 50 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top by repeatedly moving the topmost coin to another position in the stack.Alice starts and the players take turns. A turn consists of moving the coin on the top to a position i below the top coin (0 ≤ i ≤ 20). We will call this an i-move (thus a 0-move implies doing nothing). The proviso is that an i-move cannot be repeated; for example once a player makes a 2-move, on subsequent turns neither player can make a 2-move. If the gold coin happens to be on top when it's a player's turn then the player wins the game. Initially, the gold coinis the third coin from the top. Thena) In order to win, Alice’s first move should be a 0-move. b) In order to win, Alice’s first move should be a 1-move. c) Alice has no winning strategy.

d) In order to win, Alice’s first move can be a 0-move or a 1-move Ans: (d) In this type of question if the coin is at the 3 position (as here )then the answer is d otherwise at the 1 or second position of the coin the answer is always. No chance of winning ie C 19) There is a planet oz . The people there are four fingered and reside in 4 – dimensional space and thus the currency used by its residents are 3 – dimensional objects. The rupees notes are cubical in

shape while their coins are spherical. However the coin minting machinery lays out some stipulations on the size of the coins. · The diameter of the coins should be at least 16mm and not exceed 64mm· Given a coin, the diameter of the next larger coin is at least 50% greater.· The diameter of the coin must always be an integer.You are asked to design a set of coins of different diameters with these requirements and your goal is to design as many coins as possible. How many coins can you design? Ans: 4

At least 16 coins so the series is 16, (16+16/2)= 24 , (24+24/2)=36, (36+36/2)=54. Now next value of coin exceeds 64 so the number of coins is 4

20) 21 people meet and shake hands. The maximum number of handshakes possible if there is to be no ‘cycle’ of handshakes is (A cycle of handshakes is a sequence of people a1, a2, … , aK such that the pairs (a1, a2), (a2, a3),… , (a (k-1), a k) , (ak, a1) shake hands.a) 17 b) 18 c) 19 d) 20 Ans: n 21) 10 suspects are rounded by the police and questioned about a bank robbery. Only one of them is guilty. The suspects are made to stand in a line and each person declares that the person next to him on his right is guilty. The rightmost person is not questioned. Which of the following possibilities are true? A. All suspects are lying. B. leftmost suspect is innocent.C. leftmost suspect is guiltya) A only b) A or C c) A or B d) B only Ans: c 22) In planet OZ planet there are 8 days, Sunday to Saturday and 8th day is Oz day. There is 36 hours in a day. What is angle between 12.40?a) 80 b) 81 c) 87 d) 89 Ans: 89 23) 36 people {a1, a2, ..., a36} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, ..., {a35, a36}, {a36, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set isa) 13 b) 18 c) 11 d) 12Ans:18 24) The pace length P is the distance between the rear of two consecutive footprints. For men, the formula, n/P = 144 gives an approximate relationship between n and P where, n = number of steps per minute and P = pace length in meters. Bernard knows his pace length is 164cm. The formula applies to Bernard's walking. Calculate Bernard's walking speed in kmph.a) 23.62 b) 8.78 c) 11.39 d) 236.16Ans: 236.16 (144*1.64 m) 25) Anoop managed to draw 7 circles of equal radii with their centers on the diagonal of a square such that the two extreme circles touch two sides of the square and each middle circle touches two circles on either side. Find the ratio of the radius of the circles to the side of the square.a) 1:(4+ 7v3) b) 1:(2+ 6v2) c) 1:(2+ 7v2) d) (2+ 7v2):1

Ans: b 26) There are 1000 pillars for a temple. 3 friends Linda, Chelsea, Juli visited that temple. (Som unrelated stuff) Linda is taller than Chelsea and taller than 2 of 1000 pillars. Juli is shorter than Linda. Find the correct sentence? a) Linda is shorter among themb) Chelsea is taller than Julic) Chelsea is shorter than Julid) Cannot determine who is taller among Chelsea and JuliAns: d Friends there is a trick of solving this questions any question in the paper of TCS that involves comparison the answer is always –cannot determine 27) Horse started to chase dog as it relieved stable two hrs. ago. And horse started to ran with average speed 22km/hr., horse crossed 10 mts road and two small pounds with depth 3m, and it crossed two small street with 200 mts length. After traveling 6 hrs., 2hrs after sunset it got dog. compute the speed of dog? Ans: As we have speed and travel time of horse, we can get distance travelled by it. Hence d = 22*6 = 132km, Exactly this 132km was travelled by dog in 8 hours (as it started two hours earlier).Hence speed of dog = 132/8 = 16.5km/hrAns: 16.5km/hr. 28) Given a collection of points P in the plane , a 1-set is a point in P that can be separated from the rest by a line, .i.e the point lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n1(P). The minimum value of n1(P) over all configurations P of 5 points in the plane in general position (.i.e. no three points in P lie on a line) isa) 3 b) 5 c) 2 Ans: 5 Friends there is a trick of solving this questions any question in the paper of TCS that involves points separated by line with a set of points points each side the answer is the number of points in plane as 5 here the answer is always –cannot determine 29) Alok and Bhanu play the following min-max game. Given the expressionN =9+ X + Y - Z Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would bea) 0 b) 27 c) 18 d) 20Ans: 20 Here it is X+Y-Z then add the 11 so ans is (11+9)=20 30). The citizens of planet nigiet are 8 fingered and have thus developed their decimal system in base 8. A certain street in nigiet contains 1000 (in base 8) buildings numbered 1 to 1000. How many 3s are used in numbering these buildings?

a) 54 b) 64 c) 265 d) 192Ans: 192 From 1 to 100 3 comes 192 Once you clear this test you are promoted to Technical round

I attempted 35 questions and I was sure that at test 31 were correct, the cut of was high in our college most probably above 25. So be accurate and score high, as the questions are easy.

QUANTITATIVE/APTITUDE TEST (35 questions, 60 minutes) Note: 1 mark will be deducted for every 3 wrong answers

1. A Roman was born the first day of the 35th year before Christ and died the first day of the 35th year

after Christ. How many years did he live? (a) 70 (b) 69 (c) 71 (d) 722. A horse starts to chase a dog that has left the stable two hours earlier. The horse runs at an average

speed of 2km/hr. It crosses a 10-metre road, two small ponds 3 metres deep, and finally runs along two small streets of 200 metres long. After traveling 6 hrs, 2hrs after sunset, it catches the dog. Compute the speed of the dog in Km/hr?

(a) 20 (b) 22 (c) 16.5 (d) 18.5 3. Adam sat with his friends in the Chinnaswamy stadium at Madurai to watch the 100 metres running

race organized by the Asian Athletics Association. Five rounds were run. After every round half the teams were eliminated. Finally, one team wins the game. How many teams participated in the race?

(a) 30 (b) 32 (c) 41 (d) 54 4. If an airplane starts at point R and travels 14 miles directly north to S, then 48 miles directly east to

T, what is the straight-line distance (in miles) from T to R? (a) 25 (b) 34 (c) 50 (d) 2500 5. A scientist was researching into animal behavior in his laboratory. He was very interested in studying

the behavior of bears. He travelled a mile to the north and reached the north pole. There he saw a bear. He then followed the bear for an 1 hour to the east with a speed of 2km/hr. After that he travelled south and reached his laboratory in 2 hours. What was the colour of the bear?

(a) Black (b) White (c) Red (d) Blue 6. A garrison of 3300 men has provisions for 32 days when supplied at the rate of 850 g per head. At

the end of 7 days, a reinforcement arrives, and it is found that the provisions can last for 17 days more when supplied at the rate of 825 g per head. What is the strength of the reinforcement?

(a) 1700 (b) 1000 (c) 3000 (d) 2700

7. Two unemployed young men decided to start a business together. They pooled in their savings, which came to Rs. 2,000. They were both lucky, their business prospered and they were able to increase their capital by 50 per cent every three years. How much did they have in all at the end of eighteen years?

(a) Rs. 22,781.25 (b) Rs. 24,150.25 (c) Rs. 28,140.50 (d) Rs. 18,000

8. A man divides Rs.8600 among 5 sons, 4 daughters and 2 nephews. If each daughter receives four times as much as each nephew, and each son receives five times as much as each nephew, how much does each daughter receive?

(a) Rs.800 (b) Rs.600 (c) Rs.200 (d) Rs.700 9. A train starts full of passengers. At the first station, it drops one-third of the passengers and takes

280 more. At the second station, it drops one-half of the new total and takes 12 more. On arriving at the third station, it is found to have 248 passengers. Find the number of passengers in the beginning.

(a) 240 (b) 248 (c) 280 (d) 288

10. A manufacturer undertakes to supply 2000 pieces of a particular component at Rs.25 per piece. According to his estimates, even if 5% fail to pass the quality tests, then he will make a profit of 25%. However, as it turned out, 50% of the components were rejected. What is the loss to the manufacturer?

(a) Rs.12000 (b) Rs.13000 (c) Rs.14000 (d) Rs.15000 11. In Tnagar many buildings were under residential category.for buildings they number as 1 to 100.

For shops, corporation numbered between 150 and 200 only prime numbers. how many time 6 will appear in building numbering?

(a) 10 (b) 20 (c) 8 (d) 19 12. 6 persons standing in queue with different age group, after two years their average age will be 43

and seventh person joined with them. hence the current average age has become 45. find the age of seventh person?

(a) 69 (b) 70 (c) 40 (d) 45 13. 3, 22 , 7, 45, 15, ? , 31 (a) 45 (b) 90 (c) 91 (d) 35 14. Which is the smallest no divides 2880 and gives a perfect square?

a.1 b.2 c.5 d.6

15. One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child’s age and eldest child’s age is two times of sum of other two children. What is the age of eldest child?

(a) 5 (8) 10 (c) 8 (d) 15

16. It is dark in my bedroom and I want to get two socks of the same color from my drawer, which contains 24 red and 24 blue socks. How many socks do I have to take from the drawer to get at least two socks of the same color?

(a) 2 (b) 3 (c) 48 (d) 25

17. 23 people are there, they are shaking hands together, how many hand shakes possible, if they are in pair of cyclic sequence.

(a) 22 (b) 23 (c) 44 (d) 46

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18. There are 10 reading spots in a room. Each reading spot has a round table. Each round table has 4 chair. If different no of persons are sitting at each reading spot. And if there are 10 persons inside the room then how many reading spots donot have atleast a single reader.

(1) 5 (2) 6 (3) 7 (4) None 19. Middle – earth is a fictional land inhabited by Hobbits, Elves, dwarves and men. The Hobbits and

the Elves are peaceful creatures who prefer slow, silent lives and appreciate nature and art. The dwarves and the men engage in physical games. The game is as follows . A tournol is one where out of the two teams that play a match, the one that loses get eliminated. The matches are played in different rounds where in every round , half of the teams get eliminated from the tournament. If there are 8 rounds played in a knock-out tournol how many matches were played?

a) 257 (b) 256 (c) 72 (d) 255

20. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one

litre every hour in A, it gets filled up like 10, 20, 40, 80, 160... in tank B.( At the end of first hour, B has 10 litres , second hour it has 20, and so on). If tank B is 1/32 filled after 21 hours, what is the total duration required to fill it completely?

a) 26 hrs (b) 25 hrs (c) 5 hrs (d) 27 hrs

21. A man jogs at 6 mph over a certain journey and walks over the same route at 4 mph. What is his

average speed for the journey? a) 2.4 mph (b) 4 mph (c) 4.8 mph (d) 5 mph

22. A pizza shop, there were 2 kinds of pizzas available. But now they have introduces 8 new types, a person buy two different type pizzas of new type in how many ways he can select?

(a) 24 (b) 43 (c) 56 (d) 58

23. A box of 150 packets consists of 1kg packets and 2kg packets. Total weight of box is 264kg. How many 2kg packets are there?

(a) 100 (b) 114 (c) 200 (d) 208 24. A man, a woman, and a child can do a piece of work in 6 days. Man only can do it in 24 days.

Woman can do it in 16 days and in how many days child can do the same work? (a) 8 (b) 14 (c) 16 (d) 18 25. A bus started from bus stand at 8.00a m and after 30 min staying at destination, it returned back

to the bus stand. The destination is 27 miles from the bus stand. The speed of the bus 50 percent fast speed. At what time it returns to the bus stand.

(a) 11a.m (b) 12a.m (c) 10a.m (d) 10.30p.m 26. 2 oranges, 3 bananas and 4 apples cost Rs.15. 3 oranges, 2 bananas, and 1 apple costs Rs 10.

What is the cost of 3 oranges, 3 bananas and 3 apples? (a) Rs10 (b) Rs15 (c) Rs20 (d) Rs25 27. If on an item a company gives 25% discount, they earn 25% profit. If they now give 10% discount

then what is the profit percentage.

(a) 40% (b) 55% (c) 35% (d) 30% 28. Two trains move in the same direction at 50 kmph and 32 kmph respectively. A man in the slower

train observes the 15 seconds elapse before the faster train completely passes by him. What is the length of faster train?

(a) 100m (b) 75m (c) 120m (d) 50m 29. A man spends half of his salary on household expenses, 1/4th for rent, 1/5th for travel expenses,

the man deposits the rest in a bank. If his monthly deposits in the bank amount 50, what is his monthly salary?(a) Rs.500 (b) Rs.1500 (c) Rs.1000 (d) Rs. 900

30. It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010 (a) Sunday (b) Saturday (c) Friday (d) Wednesday 31. In how many different ways can the letters of the word 'LEADING' be arranged in such a way that

the vowels always come together? (a) 360 (b) 480 (c) 720 (d) 5040 32. The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older.

If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?

(a) 23 years (b) 24 years (c) 25 years (d) None of these 33. Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds

respectively. In 30 minutes, how many times do they toll together ? (a) 4 (b) 10 (c) 15 (d) 16 34. The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as

quotient and the 15 as remainder. What is the smaller number? (a) 240 (b) 270 (c) 295 (d) 36035. In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the

trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:

(a) 1 hour (b) 2 hours (c) 3 hours (d) 4 hours

Test Paper :19 Paper Type : Aptitude - Numerical Test Date : 19 November 2010 Test Location : RVRJC College of Engineering, Guntur. Posted By : AnushaHi Friends,

I am Anusha, from RVR&JC Guntur. TCS came to our college on 19-10-2010. They conduct selection process per each round. There is 4 rounds

1) Aptitude test.2) Technical round

3) MR4) HR

Before going to the TCS Aptitude test please write the mock tests which are provided by the TCS it gives boost to you.

For the Aptitude prepare the R.S. Aggarwal & Freshersworld.com TCS model papers.For Technical round be aware of basic funds of your core subjects and C, C++.If you crack the both aptitude & Technical round you are 75% selected.In MR they give any context situation how can you resolve it and also little much knowledge about current affairs thats enough.In HR prepare the interview Questions.Be confident in all the rounds. Don't be tenz the HRs are very cool & friendly.

Aptitude test:(35 Questions, 80 mins, online test)

Q1. Given a collection of points P in the plane, a 1-set is a point in P that can be separated from the rest by a line, .i.e the point lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n1(P). The minimum value of n1(P) over all configurations P of 5 points in the plane in general position(.i.e no three points in P lie on a line) is

a)3 b)5 c) 2 d)1Ans: 5

Q2. The citizens of planet nigiet are 8 fingered and have thus developed their decimal system in base 8. A certain street in nigiet contains 1000 (in base 8) buildings numbered 1 to 1000. How many 3s are used in numbering these buildings?

a) 54 b) 64 c) 265 d) 192Ans: 192Some times base value is chang like: 9finger, 1 to 100(base 9)

Q3. Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines isa)1 b)3 c)4 d)0

Q4. Hare in the other. The hare starts after the tortoise has covered 1/5 of its distance and that too leisurely3. A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the. The hare and tortoise meet when the hare has covered only 1/8 of the distance. By what factor should the hare increase its speed so as to tie the race?

a) 37.80 b)8 c) 40 d) 5Ans: 37.80

Q5. Here 10 programers, type 10 lines with in 10 minutes then 60lines can type within 60 minutes. How many programmers are needed?

a) 16 b) 6 c) 10 d) 60Ans: 10

This type of Q's repeated 4times for me but values are different.

Q6. Alok and Bhanu play the following min-max game. Given the expressionN = 9 + X + Y - Z

Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu

would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be

a) 0 b) 27 c) 18 d) 20

The Q's concept is same but the equation of N's is changing.

Q7. Alice and Bob play the following coins-on-a-stack game. 20 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top by repeatedly moving the topmost coin to another position in the stack. Alice starts and the players take turns. A turn consists of moving the coin on the top to a position i below the top coin (0 = i = 20). We will call this an i-move (thus a 0-move implies doing nothing). The proviso is that an i-move cannot be repeated; for example once a player makes a 2-move, on subsequent turns neither player can make a 2-move. If the gold coin happens to be on top when it's a player's turn then the player wins the game. Initially, the gold coinis the third coin from the top. Then

a) In order to win, Alice's first move should be a 1-move.b) In order to win, Alice's first move should be a 0-move.c) In order to win, Alice's first move can be a 0-move or a 1-move.d) Alice has no winning strategy.Ans: d

Q8. For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A's chances of winning. Let's assume such rumors to be true and that in a match between Ghana and Bolivia, Ghana the stronger team has a probability of 2/3 of winning the game. What is the probability that Paul will correctly pick the winner of the Ghana-Bolivia game?

a)1/9 b)4/9 c)5/9 d)2/3Ans: 5/9

Q9. 36 people {a1, a2, ..., a36} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, ..., {a35, a36}, {a36, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is

a)12 b)11 c)13 d)18Ans: 18

Q10. After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope?a)1/12 b)0 c)12/212 d)11/12

Ans: b

Q11. A sheet of paper has statements numbered from 1 to 40. For each value of n from 1 to 40, statement n says "At least and of the statements on this sheet are true." Which statements are true and which are false?

a)The even numbered statements are true and the odd numbered are false.b)The first 26 statements are false and the rest are true.c)The first 13 statements are true and the rest are false.d)The odd numbered statements are true and the even numbered are false.

Ans:c

Q12. There are two boxes, one containing 10 red balls and the other containing 10 green balls. You are allowed to move the balls between the boxes so that when you choose a box at random and a ball at random from the chosen box, the probability of getting a red ball is maximized. This maximum probability is

a)1/2 b)14/19 c)37/38 d)3/4 Ans: 14/19

Q13. A circular dartboard of radius 1 foot is at a distance of 20 feet from you. You throw a dart at it and it hits the dartboard at some point Q in the circle. What is the probability that Q is closer to the center of the circle than the periphery?

a) 0.75 b) 1 c) 0.5 d) 0.25Ans: d

Q14. 9. A and B play a game of dice between them. The dice consist of colors on their faces (instead of numbers). When the dice are thrown, A wins if both show the same color; otherwise B wins. One die has 4 red face and 2 blue faces. How many red and blue faces should the other die have if the both players have the same chances of winning?

a) 3 red and 3 blue faces b) 2 red and remaining bluec) 6 red and 0 blue d) 4 red and remaining blueAns: a

Q15. On planet zorba, a solar blast has melted the ice caps on its equator. 8 years after the ice melts, tiny plantoids called echina start growing on the rocks. echina grows in the form of a circle and the relationship between the diameter of this circle and the age of echina is given by the formulad = 4 * sqrt (t – 8)for t = 8Where the represents the diameter in mm and t the number of years since the solar blast. Jagan recorded the time of some echina at a particular spot is 24 years then what is diameter?

a) 8 b) 16 c) 25 d) 21Ans: 16

Q16. A sheet of paper has statements numbered from 1 to 40. For all values of n from 1 to 40, statement n says: 'Exactly n of the statements on this sheet are false.' Which statements are true and which are false?

a) The even numbered statements are true and the odd numbered statements are false. b) The odd numbered statements are true and the even numbered statements are false. c) All the statements are false. d) The 39th statement is true and the rest are false.Ans: d

Q17. Alok and Bhanu play the following coins in a circle game. 99 coins are arranged in a circle with each coin touching two other coin. Two of the coins are special and the rest are ordinary. Alok starts and the players take turns removing an ordinary coin of their choice from the circle and bringing the other coins closer until they again form a (smaller) circle. The goal is to bring the special coins adjacent to each other and the first player to do so wins the game. Initially the special coins are separated by two ordinary coins O1 and O2. Which of the following is true?

a) In order to win, Alok should remove O1 on his first turn.b) In order to win, Alok should remove one of the coins different from O1 and O2 on his first turn.c) In order to win, Alok should remove O2 on his first turn.d) Alok has no winning strategy.Ans: d

Q18. Two pipes A and B fill at A certain rate B is filled at 10,20,40,80,. If 1/4 of B if filled in 21 hours what time it will take to get completely filledAns: 23

Q19. Find average speed if a man travels at speed of 24kmph up and 36kmph down at an altitude of 200m. Formula is 2xy/(x+y).

Q20. One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child’s age and eldest child’s age is two times of sum of other two children. What is the age of eldest child?Ans: 18

Q21. Ferrari is leading car manufacturer.*Ferrari S.p.A.* is an Italian sports car. It has enjoyed great success. If Mohan's Ferrari is 3 times faster than his old Mercedes wich gave him 35kmph if Mohan travelled 490 km in his ferrari the how much time(hours) he took?Easy one try it.

Q22. By using 1,2,3,4,5, how many 12 digit no. can be formed which is divisible by 4, repetation of no. is allowed?Ans: (5)^11

Q23. The cost 1 plum is 1 cent, 2 apples is 1 cent, 3 cashew is 1 cent. If father buys same amount of fruits for his 3 sons spending 7 cent then what amount of fruit each child will get?

Ans: 1plum, 2apples, 1cashew

Q24. There are some 2 wheelers and 4 wheelers parked total number of wheels present is 240 then how many 4 wheelers were there

Ans: For this question answer is deduced from the options.

Q25. One day Alice meets pal and byte in fairyland. She knows that pal lies on Mondays, Tuesdays and Wednesdays and tells the truth on the other days of the week byte, on the other hand, lies on Thursdays, Fridays and Saturdays, but tells the truth on the other days of the week. Now they make the following statements to Alice – pal. Yesterday was one of those days when I lie byte. Yesterday was one of those days when I lie too. What day is it?

a) Thursday b) Tuesday c) Monday d) SundayAns: a

I attempted 28Q but i don't recollect it now.My Hartful Thanks to Freshersworld.com. It helps me alot during the preparation of TCS placements.I crack my interview in our college 245 members are selected i am one of them. Best of luck to every one.

Thank you!

Test Paper :21 Paper Type : Candidate Experiences Test Date : 22 August 2010 Test Location : SJBIT College, Bangalore Posted By : Sunil YadavHi,

I am Sunil Yadav, i have done my B.Tech (2006-10) in ECE discipline from BSAITM, Faridabad. Our college is not so much good in terms of placement so most of students could not get any job from college and i was 1 of them. So I decided 2 go to Bangalore. I got my TCS hall ticket on 14th of August and on 18th August, I reached Bangalore. There was TCS off-campus in SJBIT college on 22nd August 2010.There was only 3 rounds: 1) Written test 2) Technical 3) HR There were around 3000 students, out of which only 700 cleard the written. Written test: It was very easy exam as compared with other company written exams. Test contains 35 questions, only from quantitative, in 60 minutes. You can get through if you prepared with previous papers. Questions which i got in exam are.1) Two pipes A and B fill at A certain rate B is filled at 10,20,40,80,. If 1/16 of B if filled in 17 hours what time it will take to get completely filledAns 21 2) In a shopping mall with a staff of 5 members the average age is 45 years. After 5 years a person joined them and the average age is again 45 years. What’s the age of 6th person? 3) Find (4x+2y)/ (4x-2y) if x/2y=2 4) Find average speed if a man travels at speed of 24kmph up and 36kmph down at an altitude of 200m. Formula is 2xy/(x+y) 5) Same model as 4th question. But it is on flat surface. Formula is same 2xy/(x+y). 6) Six friends go to pizza corner there are 2 types of pizzas. And six different flavors are there they have to select 2 flavors from 6 flavors. In how many ways we can select?Ans: 6C2 7) 3, 15, x, 51, 53,159,161. Find XAns: 17 8) 3 friends A, B, C went for week end party to McDonald’s restaurant and there they measure there weights in some order IN 7 rounds. A;B;C;AB;BC;AC;ABC. Final round measure is 155 kg then find the average weight of all the 7 rounds?Ans: 4(155)/7=31 9) There is a toy train that can make 10 musical sounds. It makes 2 musical sounds after being defective. What is the probability that same musical sound would be produced 5 times consecutively? (1 of )?Ans: 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/32 10) (There was a long story, I'll cut short it). There are 5 materials to make a perfume: Lilac, Balsamic, Lemon, and Woody and MI mosaic. To make a perfume that is in demand the following conditions are to be followed: Lilac and Balsamic go together. Woody and MI mosaic go together; Woody and Balsamic never go together. Lemon can be added with any material. (Actually they had also mentioned how much amount of one can be added with how much quantity of the other; but that's not needed for the question.) All of the following combinations are possible to make a perfume except: 1) Balsamic and Lilac2) Woody and Lemon

3) MI mosaic and Woody4) MI mosaic and Lilac

11) A triangle is made from a rope. The sides of the triangle are A cm, B cm and C cm (I do not remember the numerical value). What will be the area of the square made from the same rope?Ans: ((A+B+C)/4)2 12) What is the distance of the z-intercept from the x-intercept in the equation ax+by+cz=d (I do not remember the values of a, b, c, d).Ans: sqrt ((d/a) 2+ (d/c) 2) 13) A scientist in Antarctic region conducts research on bears came to know that bears changes according to the location .once he moves 1 mile towards north, then he moves 2 miles towards east, then 1 mile towards south. Now the color of bear he found will be in:Ans: white 14) (1/3) of a number is 3 times more than the (1/6) of the same number? Ans is 18 15) There are 11 boys in a family. Youngest child is a boy. What is the probability of all are boys?a) 2 b) 2! C) 2048 d) 1024 16) A boy bought a roll A of 56 inches wide and 141 yards long. He also bought B of 77 inches wide of length 333yards. We don’t want any details of B. Some irrelevant matter. Final question is Time taken for cutting A into 1 yard piece is 2 seconds. Time taken to cut into 141 pieces of 1 yard each is?Ans is 2(141) =242 17) A Person buys a horse for 15 ponds, after one year he sells it for 20 pounds. After one year, again he buys the same horse at 30 pounds and sells it for 40 pounds. What is the profit for that person?Ans is 15 pounds 18) John buys a cycle for 31 dollars and given a cheque of amount 35 dollars. Shop Keeper exchanged the cheque with his neighbor and gave change to John. After 2 days, it is known that cheque is bounced. Shop keeper paid the amount to his neighbor. The cost price of cycle is 19 dollars. What is the profit/loss for shop keeper?Ans is 23(cost price + change given). 19) In a family there are some boys and girls. All boys told that they are having equal no of brothers and sisters and girls told that they are having twice the no. of brothers than sisters. How many boys and girls present in a family?Ans is 4 boys and 3 girls 20) There are certain number of hats and gloves in a box. They are of 41 red, 23 green, 11 orange. Power gone. But a woman can differentiate between hats and gloves.How many draws are required to obtain a pair of each color. 21) There is a die with 10 faces. It is not known that fair or not. 2 captains want to toss die for batting selection. What is the possible solution among the following?a) If no. is odd it is head, if no. is even it is tailb) If no. is odd it is tail, if no. is even it is headc) Toss a die until all the 10 digits appear on top face. And if first no. in the sequence is odd then consider it as tail. If it is even consider it as head.I didn’t remembered last option and I don’t know answer. 22) 2 years ago of A is x times that of B. 3 Years hence the age of A is 4/3 times of B. What is the present age of B in binary form?I didn’t remember the exact values of x and y. You can solve easily.

23) metal strip of width ‘x’ cm. 2 metal strips are placed one over the other, then the combine length of 2 strips is ‘y’. If ‘z’ strips are placed in that manner. What is the final width of that arrangement?Ans is (z-1) (y-x) +x. 24) There are 100 men and 100 women on the dance floor. They want to dance with each other. Then which of the following statements is always true:a) There are 2 men who danced with equal no. of women’sb) There are 2 women who danced with equal no. of men 25) A game is played between 2 players and one player is declared as winner. All the winners from first round are played in second round. All the winners from second round are played in third round and so on. If 8 rounds are played to declare only one player as winner, how many players are played in first roundAns is 28.

26) There are 3 boys A, B, C and 2 Girls D, E. D always sit right to A. Girls never sit in extreme positions and in the middle position. C always sits in the extreme positions. Who is sitting immediate right to E?Ans is B or C 27) 49 members attended the party. In that 22 are males, 17 are females. The shake hands between males, females, male and female. Total 12 people given shake hands. How many such kinds of such shake hands are possible?Ans is 12C2

28) There are 1000 pillars for a temple. 3 friends Linda, Chelsey, Juli visited that temple. (Some unrelated stuff) Linda is taller than Chelsea and taller than 2 of 1000 pillars. Julia is shorter than Linda. Find the correct sentence?a) Linda is shorter among themb) Chelsea is taller than Juliac) Chelsea is shorter than Juliad) Cannot determine who is taller among Chelsea and Julia Ans: d 29) Entry ticket to an exhibition ranges from 1p to 31p. You need to provide exact change at the counter. You have 31p coin. In how many parts will u divide 31p so that u will provide the exact change required and carry as less coins as possible?a) 22 b) 31 c) 6 d) 32Ans is 6 30) There are 2 friends Peter and Paul. Peter age is twice as old as Paul when peter was as old as Paul is now. Sum of the present ages of Peter and Paul is 35.What is the present age of Peter?Ans is 20 31) A lady took out jacket and gloves, which are avialable in blue 26, yellow 30 and red 56. Power goes off, she can distinguish between gloves and jacket but not in colors. What's the possibilty their she will pick up pair of gloves of each color. 32) Two bowls are taken, one contains water and another contains tea.one spoon of water is added to second bowl and mixed well, and a spoon of mixture is taken from second bowl and added to the second bowl. Which statement will hold good for the above?(Ans: second liquid in first bowl is smaller than the first mixture in second bowl)

33) Rearrange and categorize the word ‘RAPETEKA’?Ans: bird(parakeet)

34) A lies on mon, tues, wed and speak truths on other days, B lies on Thurs, Fri, Sat and speaks truths on other days. One day a said I lied today and B said I too lied today. What is the day?

http://fw.freshersworld.com/placementweek/showpaper.asp?cid=108&pid=15221&pgcount=1&prio=3

http://fw.freshersworld.com/placementweek/showpaper.asp?cid=108&pid=15221&pgcount=1&prio=3

35) One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child’s age and eldest child’s age is two times of sum of other two children. What is the age of eldest child?Ans: 18

I attempted 27 questions. Result was declared in the evening and my name was among the successful guys. I was so happy. Then they asked us 2 come on 28th Sept at 11:30 AM as it was getting late that day.

Technical:

am Prem Prakash, i am persuing my B.E (2007-11) in ECE discipline from TIT BHOPAL.The test pattern is:1.apptitude test only 35 questions 80 minutes.(15/01/2011)2.technical round(16/01/2011)3.HR(06/01/2011)

I am going to share some apptitude, tr and hr questions

1. Out of 7 children the youngest is boy then find the probability that all the remaining children are boysa) 1/64 b) 1/32 c) 1/128 d) 1/256ans:probability=(1/2)^6=1/642. On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula d = 4*√ (t-9) for t ≥ 9 where d represents the diameter in mm and t the number of years since the solar blast.Jagan recorded the radius of some echina at a particular spot as 7mm. How many years back did the solar blast occur?a) 17 b) 21.25 c) 12.25 d) 14.05

Ans:put d=7 in given equation and square both side and then find the value of t. 3.Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Ferrari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success .Rohit once bought a Ferrari. It could go 4 times as fast as Mohan's old Mercedes. If the speed of Mohan's Mercedes is 35 km/hr and the distance traveled by the Ferrari is 490 km, find the total time taken for Rohit to drive that distance.a) 20.72 b) 3.5 c) 238.25 d) 6.18 ans:Ferrari speed =4*Mercedes speed =4*35=140, t=490/140=3.5 4.1/3) of a number is 3 more than the (1/6) of the same number?a) 6 b) 7 c) 18 d) 9ans:x/3=3+x/6 x/3-x/6=3 x/6=3 x=18 5. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1 liter every hour in A, it gets filled up like, 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10 liters, second hour it has 20 liters and so on). If tank B is 1/32 filled of the 26 hours, what is total duration of hours required to fill it completely?a) 26 B) 31 c) 5 d) 27ans: 1/32 in 26 2/32 in 27 4/32 in 28

8/32 in 29 16/32 in 30 32/32 in 31 6. lady has fine gloves and hats in her closet- 14 blue, 20 red, and 18 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?a) 50 b) 8 c) 40 d) 42 Solution:This is the most repeated question in Tcs so prepare it well. It has no logic but it’s answer comes like thisFirstly add 2 max values i.e 20+18=38Then add 2 to answer i.e. 38+2=40 so this is the answer. 7. There is a square. 5 circles are kept on the diagonal of the square such that the two extreme circles touch the two sides of the square.each circle has equal radius.find the ratio of side of hte squae to that of the radius. ans: diagonal=(root 2)*a , a= side of the square.The additon of diameters of all the circles is equal to (root2)*a2*7*r=(root2)*a But the two extreme circles wiil not touch at the corners so we have to find those distances.x=distanse at on corner=r*((root2)-1) but toal distance=2*x due to 2nd corner hence tatladistance=2*x+2*7*r or 2*x+2*7*r=(root2)*anow you can find the ratio easily.I think that this is oneof the most conceptual question in the paper. 8. A Sheet of paper has statements number from 1 to 20. Statement n says "At least n of the statements on this sheet are true". Which statements are true and which are false. a. The even no statements are true and the odd no statements are false.b. The 1st 13 statements are false and rest are true.c. The 1st 6 statements are true and rest are falsed. The odd no statements are true and even no. are false. Solution: This type of question was repeated 3 times but for different case.For this type of Questions, follow this:At least- Ist half are true, Last half are falseExactly- Last second one is true or (N-1)th Statement is trueAlmost- All are true.So correct answer is (C)9.

n the planet Oz, there are 8 days in a week- Sunday to Saturday and another day called Oz day. There are 36 hours in a day and each hour has 90 min while each minute has 60 sec. As on earth, the hour hand covers the dial twice every day.Find the approximate angle between the hands of a clock on Oz when the time is 12:40 am. Solution: 89 deg

36 hours a day mane the clk will be of 18 hours.18 hours covrs 360 deg

Thus 1 hour covrs 20 deg12 hours covers 12*20=240 deg

ekhon,1 hour in 90 minthus in 90min the hour hand goes 20deg

tai, for 1min hr hand goes 2/9degsei jonne, for 40 min hour hnd goes (2/9)*40deg=80/9deg=9deg(approx)

thus hr hand covrs total of 240+9=249degnow min hand covrs=40*4=160deg

(karon, 90min=360deg1min=4deg)hus angle betwn them 249-160=89deg

10.Alok and Bhanu play the following min-max game. Given the expression N = 15 + X*(Y â€“ Z) Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be? Note: For this type of questions:x+y-z=11x-y-z=2x*(y+z)=18What should be the approach to do such type of prob? Solution: This question was repeated 3 times for different casesYeah TCS has this 3 type of questions where there isx+y-z,=11x-y-z ==2and x*(y+z)=18 TR QUESTIONS:mam: what is ur name.me: i am prem prakash.donot say my self

mam:Explain ur project in detail.me: i told.be prepared with ur project in detail.

mam: what is transistor.expalin cb , ce and cc as an amplifier.me: i told. i had given the favourite subjects as edc and data comm. be prepared with two subjects or more.

mam:explain full wave rectifier.me: i explained.

mam: what is emi(electro magnetic induction).me : i told.

mam: write a program for leap and non leap year.me: i told.plz be prepared with c.programs like factorial,swaping,prime no.,fibonacci series etc are imp.

mam: do yuo want to ask any question?me :plz ask questions .

i asked: mam right from now i have 4-5 months then how will i utilize this time so that it becomes benificial for me as well as for ur organisation.

HR:again another mam:mam:what is ur name?me : told

mam:again about project but not in detail.mam:about my training.

mam :my family background.mam:Would you be willing to relocate if required?

mam: lastly, do yuo want to ask any question?

After this on 17th jan result was decalerd. I'm one of them . Best of luck for your campus. thanks to Freshersworld.com

Test Paper :39 Paper Type : Whole Testpaper Test Date : 3 December 2010 Test Location : MVGR College of Engg, Vizianagaram Posted By : Anantha Sagar

I am presently pursuing my final year in MVGR college of engineering,Vizianagaram.TCS came to our college on December 3rd,4th.162 students got selected from our college.

The written test is easy,although questions are lengthy but one must be able to understand the question properly,and answer accurately.The written test consists of 35 questions and time is 80 minutes.The written test was conducted on dec 3rd in which all the questions came from these.

# 1 The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. As one of the forerunners in the technology front, Tirnop continues to lead the way in products and services in India. At Tirnop, all programmers are equal in every respect. They receive identical salaries Ans also write code at the same rate.Suppose 12 such programmers take 12 minutes to write 12 lines of code in total. How many lines of code can be written by 72 programmers in 72 minutes?

A .432 B. 12 C. 72 D. 6 # 2 On the planet Oz, there are 8 days in a week- Sunday to Saturday and another day called Oz day. There are 36 hours in a day and each hour has 90 min while each minute has 60 sec. As on earth, the hour hand covers the dial twice every day. Find the approximate angle between the hands of a clock on Oz when the time is 12:40 am.

A. 251 B. 89 C. 111 D. 71

# 3 A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the hare in the other. The hare starts after the tortoise has covered 1/5 of its distance and that too leisurely. The hare and tortoise meet when the hare has covered only 1/8 of the distance. By what factor should the hare increase its speed so as to tie the race?

A. 37.80 B. 5 C. 8 D. 40 # 4 Given a collection of points P in the plane, a 1-set is a point in P that can be separated from the rest by a line; i.e. the point lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n1(P). The maximum value of n1(P) over all configurations P of 10 points in the plane is

A. 9 B. 10 C. 5 D. 3 # 5 A sheet of paper has statements numbered from 1 to 30. For all values of n from 1 to 30, statement n says "At most n of the statements on this sheet are false". Which statements are true and which are false?

A. All statements are true. B. The odd numbered statements are true and the even numbered are false. C. All statements are false. The even numbered statementsD. are true and the odd numbered are false. # 6 The teacher is testing a student's proficiency in arithmetic and poses the following question. 1/3 of a number is 3 more than 1/6 of the same number. What is the number? Can you help the student find the answer?

A. 12 B. 21 C. 6 D.18 # 7 Planet fourfi resides in 4-dimensional space and thus the currency used by its residents are 3-dimensional objects. The rupee notes are cubical in shape while their coins are spherical. However the coin minting machinery lays out some stipulations on the size of the coins. The diameter of the coins should be at least 64mm and not exceed 512mm. Given a coin, the diameter of the next larger coin is at least 50% greater. The diameter of the coin must always be an integer. You are asked to design a set of coins of different diameters with these requirements and your goal is to design as many coins as possible. How many coins can you design?

A. 6 B. 5 C. 8 D. 9 # 8 Ferrari S.p.A. is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Ferrari S.p.A.. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One, where it has enjoyed great success. Rohit once bought a Ferrari. It could go 2 times as fast as Mohit's old Mercedes. If the speed of Mohit's Mercedes is 32 km/hr and the distance travelled by the Ferrari is 952 km, find the total time taken in hours for Rohit to drive that distance. A. 15.88 B. 29.75 C. 476 D. 14.88 # 9 Alok and Bhanu play the following min-max game. Given the expressionN = 12 + X*(Y - Z)where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining

variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be A. 93 B. 30 C. -69 D. 12 # 10 There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one litre every hour in A, it gets filled up like 10, 20, 40, 80, 160 .. in tank B. (At the end of first hour, B has 10 litres, second hour it has 20, and so on). If 1/32 of B's volume is filled after 3 hours, what is the total duration required to fill it completely?

A. 8 hours B. 10 hours C. 9 hours # 11 The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. As one of the forerunners in the technology front, Tirnop continues to lead the way in products and services in India. At Tirnop, all programmers are equal in every respect. They receive identical salaries ans also write code at the same rate.Suppose 12 such programmers take 12 minutes to write 12 lines of code in total. How long will it take 72 programmers to write 72 lines of code in total?

A. 18 B. 6 C. 12 D.72 # 12 Anoop managed to draw 7 circles of equal radii with their centres on the diagonal of a square such that the two extreme circles touch two sides of the square and each middle circle touches two circles on either side. Find the ratio of the radius of the circles to the side of the square. A. 1:(2+ 7v2) B. 1:(4+ 7v3) C. (2+ 7v2):1 D. 1:(2+ 6v2) # 13 There are two boxes, one containing 10 red balls and the other containing 10 green balls. You are allowed to move the balls between the boxes so that when you choose a box at random and a ball at random from the chosen box, the probability of getting a red ball is maximized. This maximum probability is

A. 3/4 B. 37/38 C. 14/19 D.1/2 # 14 A hollow cube of size 5 cm is taken, with a thickness of 1 cm. It is made of smaller cubes of size 1 cm. If 4 faces of the outer surface of the cube are painted, totally how many faces of the smaller cubes remain unpainted?

A. 488 B. 500 C. 900 D.800 # 15 The pacelength P is the distance between the rear of two consecutive footprints. For men, the formula, n/P = 144 gives an approximate relationship between n and P where, n = number of steps per minute and P = pacelength in meters. Bernard knows his pacelength is 164cm. The formula applies to Bernard's walking. Calculate Bernard's walking speed in kmph.

A. 236.16 B. 11.39 C. 23.62 D. 8.78 # 1 The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. As one of the forerunners in the technology front, Tirnop continues to lead the way in products and services in India. At Tirnop, all programmers are equal in every respect. They receive identical salaries ans also write code at the same rate. Suppose 12 such programmers take 12 minutes to write 12 lines of code in total. How many lines of code can be written by 72 programmers in 72 minutes? A. 432 B.12 C.72 D.6 # 2 On the planet Oz, there are 8 days in a week- Sunday to Saturday and another day called Oz day. There are 36 hours in a day and each hour has 90 min while each minute has 60 sec. As on earth, the hour hand covers the dial twice every day. Find the approximate angle between the hands of a clock on Oz when the time is 12:40 am. A.251 B.89 C.111 D.71

# 3 A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the hare in the other. The hare starts after the tortoise has covered 1/5 of its distance and that too leisurely. The hare and tortoise meet when the hare has covered only 1/8 of the distance. By what factor should the hare increase its speed so as to tie the race? A. 37.80 B.5 C. 8 D.40 # 4 Given a collection of points P in the plane, a 1-set is a point in P that can be separated from the rest by a line; i.e. the point lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n1(P). The maximum value of n1(P) over all configurations P of 10 points in the plane is A.9 B. 10 c.5 D.3 # 5 A sheet of paper has statements numbered from 1 to 30. For all values of n from 1 to 30, statement n says "At most n of the statements on this sheet are false". Which statements are true and which are false?A. All statements are true. B. The odd numbered statements are true and the even numbered are false.C. All statements are false. D. The even numbered statements are true and the odd numbered are false. # 6 The teacher is testing a student's proficiency in arithmetic and poses the following question. 1/3 of a number is 3 more than 1/6 of the same number. What is the number?Can you help the student find the answer?12 21 6 18 # 7 Planet fourfi resides in 4-dimensional space and thus the currency used by its residents are 3-dimensional objects. The rupee notes are cubical in shape while their coins are spherical. However the coin minting machinery lays out some stipulations on the size of the coins. The diameter of the coins should be at least 64mm and not exceed 512mm. Given a coin, the diameter of the next larger coin is at least 50% greater. The diameter of the coin must always be an integer. You are asked to design a set of coins of different diameters with these requirements and your goal is to design as many coins as possible. How many coins can you design? A. 6 B. 5 C.8 D.9 # 8 Ferrari S.p.A. is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Ferrari S.p.A.. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One, where it has enjoyed great success. Rohit once bought a Ferrari. It could go 2 times as fast as Mohit's old Mercedes. If the speed of Mohit's Mercedes is 32 km/hr and the distance travelled by the Ferrari is 952 km, find the total time taken in hours for Rohit to drive that distance. A.15.88 B.29.75 C. 476 D. 14.88 # 9 Alok and Bhanu play the following min-max game. Given the expression N = 12 + X*(Y - Z)where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be

A. 93 B. 30 C.-69 D.12

# 10 There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one litre every hour in A, it gets filled up like 10, 20, 40, 80, 160 .. in tank B. (At the end of first hour, B has 10 litres, second hour it has 20, and so on). If 1/32 of B's volume is filled after 3 hours, what is the total duration required to fill it completely?

A. 8 hours B. 10 hours C. 9 hours # 11 The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. As one of the forerunners in the technology front, Tirnop continues to lead the way in products and services in India. At Tirnop, all programmers are equal in every respect. They receive identical salaries ans also write code at the same rate. Suppose 12 such programmers take 12 minutes to write 12 lines of code in total. How long will it take 72 programmers to write 72 lines of code in total? A. 18 B.6 C.12 D.72 # 12 Anoop managed to draw 7 circles of equal radii with their centres on the diagonal of a square such that the two extreme circles touch two sides of the square and each middle circle touches two circles on either side. Find the ratio of the radius of the circles to the side of the square.A. 1:(2+ 7v2) B. 1:(4+ 7v3) C. (2+ 7v2):1 D. 1:(2+ 6v2) # 13 There are two boxes, one containing 10 red balls and the other containing 10 green balls. You are allowed to move the balls between the boxes so that when you choose a box at random and a ball at random from the chosen box, the probability of getting a red ball is maximized. This maximum probability is A.3/4 B.37/38 C. 14/19 D. 1/2 # 14 A hollow cube of size 5 cm is taken, with a thickness of 1 cm. It is made of smaller cubes of size 1 cm. If 4 faces of the outer surface of the cube are painted, totally how many faces of the smaller cubes remain unpainted? A.488 B.500 C.900 D.800 # 15 The pacelength P is the distance between the rear of two consecutive footprints. For men, the formula, n/P = 144 gives an approximate relationship between n and P where, n = number of steps per minute and P = pacelength in meters. Bernard knows his pacelength is 164cm. The formula applies to Bernard's walking. Calculate Bernard's walking speed in kmph. A.236.16 B.11.39 C.23.62 D. 8.78 # 1 There are two boxes, one containing 10 red balls and the other containing 10 green balls. You are allowed to move the balls between the boxes so that when you choose a box at random and a ball at random from the chosen box, the probability of getting a red ball is maximized. This maximum probability is

A.37/38 B.3/4 C.1/2 D. 14/19 # 2 A sheet of paper has statements numbered from 1 to 30. For all values of n from 1 to 30, statement n says "At most n of the statements on this sheet are false". Which statements are true and which are false?

A. The even numbered statements are true and the odd numbered are false. B. The odd numbered statements are true and the even numbered are false. C. All statements are false. D. All statements are true. #3 Anoop managed to draw 7 circles of equal radii with their centres on the diagonal of a square such that the two extreme circles touch two sides of the square and each middle circle touches two circles on either side. Find the ratio of the radius of the circles to the side of the square.

A.1:(2+ 6v2) B. 1:(2+ 7v2) C.1:(4+ 7v3) D. (2+ 7v2):1 # 4 The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. As one of the forerunners in the technology front, Tirnop continues to lead the way in products and services in India. At Tirnop, all programmers are equal in every respect. They receive identical salaries ans also write code at the same rate.Suppose 12 such programmers take 12 minutes to write 12 lines of code in total. How many lines of code can be written by 72 programmers in 72 minutes?

A. 12 B.6 C.72 D.432 # 5 On the planet Oz, there are 8 days in a week- Sunday to Saturday and another day called Oz day. There are 36 hours in a day and each hour has 90 min while each minute has 60 sec. As on earth, the hour hand covers the dial twice every day. Find the approximate angle between the hands of a clock on Oz when the time is 12:40 am.

A.251 B.89 C.111 D.71 # 6 A hollow cube of size 5 cm is taken, with a thickness of 1 cm. It is made of smaller cubes of size 1 cm. If 4 faces of the outer surface of the cube are painted, totally how many faces of the smaller cubes remain unpainted? A. 488 B. 800 C. 900 D.500 # 7 The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. As one of the forerunners in the technology front, Tirnop continues to lead the way in products and services in India. At Tirnop, all programmers are equal in every respect. They receive identical salaries ans also write code at the same rate. Suppose 12 such programmers take 12 minutes to write 12 lines of code in total. How long will it take 72 programmers to write 72 lines of code in total?

A. 12 B. 18 C.72 D.6 # 8 Planet fourfi resides in 4-dimensional space and thus the currency used by its residents are 3-dimensional objects. The rupee notes are cubical in shape while their coins are spherical. However the coin minting machinery lays out some stipulations on the size of the coins.

The diameter of the coins should be at least 64mm and not exceed 512mm. Given a coin, the diameter of the next larger coin is at least 50% greater. The diameter of the coin must always be an integer. You are asked to design a set of coins of different diameters with these requirements and your goal is to design as many coins as possible. How many coins can you design? A.5 B.9 C.6 D.8 # 9 Given a collection of points P in the plane, a 1-set is a point in P that can be separated from the rest by a line; i.e. the point lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n1(P). The maximum value of n1(P) over all configurations P of 10 points in the plane is

A. 3 B. 5 C.9 D.10 # 10 The teacher is testing a student's proficiency in arithmetic and poses the following question. 1/3 of a number is 3 more than 1/6 of the same number. What is the number? Can you help the student find the answer?

A.21 B.6 C.18 D.12 # 11 The pacelength P is the distance between the rear of two consecutive footprints. For men, the formula, n/P = 144 gives an approximate relationship between n and P where, n = number of steps per

minute and P = pacelength in meters. Bernard knows his pacelength is 164cm. The formula applies to Bernard's walking. Calculate Bernard's walking speed in kmph.

A. 8.78 B. 23.62 C.11.39 D.236.16 # 12 Ferrari S.p.A. is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Ferrari S.p.A.. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One, where it has enjoyed great success. Rohit once bought a Ferrari. It could go 2 times as fast as Mohit's old Mercedes. If the speed of Mohit's Mercedes is 32 km/hr and the distance travelled by the Ferrari is 952 km, find the total time taken in hours for Rohit to drive that distance.

A.476 B.14.88 C.29.75 D. 15.88 # 13 There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one litre every hour in A, it gets filled up like 10, 20, 40, 80, 160 .. in tank B. (At the end of first hour, B has 10 litres, second hour it has 20, and so on). If 1/32 of B's volume is filled after 3 hours, what is the total duration required to fill it completely? A.9 hours B.8 hours C.7 hours D. 10 hours # 14 A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the hare in the other. The hare starts after the tortoise has covered 1/5 of its distance and that too leisurely. The hare and tortoise meet when the hare has covered only 1/8 of the distance. By what factor should the hare increase its speed so as to tie the race? A.5 B.8 C.37.80 D.40 # 15 Alok and Bhanu play the following min-max game. Given the expression

N = 12 + X*(Y - Z) where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be

A.12 B.93 C.30 D.-69

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