Q. 1 If x + y = 4 and x – y = 8, then x = and y = Q. 2 A sum of Rs. 400 is to be used to give four cash prizes to students of a school for their overall performance. If each prize is Rs. 20 less than its preceding prize, find the value of each prize. Q. 3 After 2 years of time, Paul will be 2 times as old as Alice. Presently he is 4 times as old. How old is Paul now Q. 4 One card is drawn from a well shuffled deck of 52 cards.Find the probability of getting i) a king of red colourii) a black cardQ. 7 From the top of a 9 metres high building AB, the angle of elevation of the top of a tower CD is 30º C and the angle of depression of the foot of the tower is 60º. Find the height of the tower Q. 8 The radius of a circle is 21 cms . Therefore its circumference is _________cms. Q. 9 A vessel is in the form of a hollow cylinder mounted on a hollow hemisphere. The diameter of the hemisphere is 14 cms, and the total height vessel is 3 cms. Find the outer surface area of the vessel Q. 10 If cosec 18º = sec A, then the measure of A is ___________Q. 11 A point A(x,y) divides the segment joining point B(5,-1) and C(-10,4) in the ratio 3:2. Find the value of x and y Q. 12 A man is standing in front of a painting of a man, and he tells us the following: "Brothers and sisters have I none, but this man's father is my father's son". Who is on the painting?Q. 13.The fundamental theorem of arithmetic states that every natural number greater than 1 can be written as a unique product of prime numbers. Now what is the smallest number by which 4732 must be divided in order to make it into a perfect square Q. 14. In the reading room of a library, there are 10 reading spots. Each reading spot consists of a round table with 4 chairs placed around it. There are some readers such that in each occupied reading spot there is different number of readers. If in all there are 10 readers, how many reading spots do not have even a single reader

15. When my uncle died, he left a will, instructing his executors to divide his estate of `19,80,000 in this manner. Every son should receive three times as much as a daughter, and that every daughter should get twice as much as their mother. What is my aunt’s maximum share if my uncle has at least one son and one daughter?

A. ` 19,80,000 (B) ` 9,90,000 (C) ` 3,30,000 (D) ` 2,20,000 (E) ` 1,98,000

16. The price of a Maruti car rises by 30% while the sales of the car came down by 20%. What is the percent change in the total revenue?

(A) – 4 (B) – 2 (C) + 4 (D) 0 (E) None of these

17. Monthly income of X and Y are in the ratio 1:3 and their expenses are in the ratio 19:40. X saves ` 18,860 less than Y and in total they save ` 36,020. What are their respective incomes?

(A) ` 10,480 & ` 31,440 (B) ` 9,000 & ` 27,000

(C) ` 14,200 & ` 42,600 (D) `12,380 & ` 37,140 (E) None of these

18. Father’s age was five times his son’s age 5 years ago and will be three times the son’s age after 2 years. What is the ratio of their present ages?

(A) 4:1 (B) 18:5 (C) 10:3 (D) 7:2 (E) None of these

19. The average turnover of a company in January, February and March is `12 crore while that of March, April, May and June is ` 14 crore. What is the turnover in March if the average for the first half of the year is ` 12 crore?

(A) ` 12 crore (B) ` 14 crore (C) ` 16 crore (D) ` 18 crore (E) ` 20 crore

20. The ratio of sum of squares of first n natural numbers to square of sum of first n natural numbers is 17:325. The value of n is

(A) 15 (B) 25 (C) 35 (D) 30 (E) None of these

2. Shreya writes first 100 whole numbers. Let A and B be the number of times she writes 0 and 9 respectively. Find the value of A + B

(A) 31 (B) 30 (C) 34 (D) 32 (E) 33

3. Neelam who is Deepak’s daughter says to Deepika, “your mother Rekha is the younger sister of my father who is the third child of Ramlal.” How is Ramlal related to Deepika?

(A) Uncle (B) Father (C) Grandfather (D) Great Grandfather (E) None of these

4. If the probability of rain on any given day in Pune city is 50% then what is the probability that it rains on exactly 3 days in a 5 day period

(A) 8/125 (B) 3/8 (C) 8/25 (D) 2/25 (E) 5/16

5. How many one rupee, 50 paisa and 25 paisa coins are there if these are in the ratio 4:5:6 and together amount to ` 32?

(A) 90 (B) 60 (C) 45 (D) 75 (E) 30

6. A two digit number ‘ab’ is six times the sum of its digits. Find the value of ba

(A) 625 (B) 81 (C) 1024 (D) 3025 (E) Data Insufficient

Some months back, this year. I was walking through the Central Park in New Delhi. I saw an intelligent looking little boy playing all by himself on the grass. I decided to talk to him and just as an excuse to start the conversation I asked him his age. A mischievous glint flickered in his eyes and he replied. “Two days back I was ten years old, and next year I shall be thirteen. If you know what’s today you’ll be able to figure out my birthday and that’ll give you my age.” I looked at him bewildered.

1. How old was the boy?

(A) 9 years (B) 10 years (C) 12 years (D) 11 years (E) None of these

2. On which date they had this conversation?

(A) 31st Dec (B) 1st Jan (C) 2nd Jan (D) 30th Dec (E) Data Inadequate

3. Supposing a clock takes 7 seconds to strike 7. How long will the same clock take to strike 10?

(A) 10 secs (B) 10.5 secs (C) 7 secs (D) 9 secs (E) 12.5 secs

4. A bag contains 5 green and 7 blue balls. Another one contains 4 green and 8 blue balls. If a bag is chosen randomly and a ball is drawn from it at random, then find the probability that it is green

(A) 3/4 (B) 1/4 (C) 5/8 (D) 3/8 (E) None of these

Saniya, her brother, her daughter, and her son are tennis players. As a game of doubles is about to begin:

1. Saniya’s brother is directly across the net from her daughter.2. Her son is diagonally across the net from the worst player’s sibling.3. The best player and the worst player are on the same side of the net.

1. Who is the best player?

(A) Saniya (B) Saniya’s brother

(C) Saniya’s son (D) Saniya’s daughter (E) Can’t be determined

2. Who is the worst player?

(A) Saniya’s daughter (B) Saniya

(C) Saniya’s son (D) either (A) or (B) (E) either (B) or (C)

3. Who is partner with Saniya?

(A) Saniya’s daughter (B) Saniya’s brother

(C) Saniya’s son (D) Either (A) or (B) (E) either (B) or (C)

1. Let n be a natural number, then n(n2 -1) is always divisible by?

A. 6 (B)12 (C)24 (D)48 (E) None of these

2. A group of housewives with average age 30 years meets with another group of housewives with average age of40 years. If the average age of the new group is 34 years, what is the ratio of number of housewives in the first group to the number of housewives in the second group?

A. 2:3 (B) 3:5 (C) 3:2 (D) 3:4 (E) 4:3

In the city club, there are four people: Avinit , Bikash Chandan and Debjit. They were; though not necessarily in the same order: doctor, teacher, painter and actor. Avinit and the teacher never spoke to Chandan. Bikash and the actor were very good friends. The painter was friends with Debjit and the actor.

1. Avinit is the

(A) Doctor (B) Teacher (C) Painter (D) Actor (E) Data Inadequate

2. Bikash is the

(A) Doctor (B) Teacher (C) Painter (D) Actor (E) Data Inadequate

1. If a number 774958A96B is to be divisible by 8 and 9, the values of A and B, respectively, will be:

(A) 7, 8 (B) 8, 0 (C) 5, 8 (D) 3,0 (E) None of these

2. A software engineer starts from home at 3 PM for evening walk on a route which has level road for some distance and a then a hillock. He walks speed of 4kmph on level ground and then at a speed of 3kmph on the uphill and then down the hill at a speed of 6 kmph to the level ground and then at a speed of 4kmph to the home If he reaches home at 9 PM. What is the distance one way of his route?

(A) 12 Km (B) 15 Km (C) 18 Km (D) 24 Km (E) Data Inadequate

3. From a circular sheet of paper with a radius of 20 cm, four circles of radius 5 cm each are cut out. What is the ratio of the uncut to the cut portion?

(A) 1:3 (B) 4:1 (C) 3:1 (D) 4:3 (E) 2:3

4. The price of a precious stone is directly proportional to square of its weight. What will be the loss incurred (approx) if a stone weighing 28 g and costing ` 28,000 breaks into two pieces whose weights are in the ratio 15:13?

A. No Loss (B) ` 10,000 (C) ` 9,500 (D) ` 28,000 (E) ` 14,000

5. In a class of 50 students, 23 speak English, 15 speak Hindi and 18 Speak Punjabi. 3 speak only English and Hindi, 6 speak only Hindi and Punjabi and 6 speak only English and Punjabi. If 9 can speak only English, how many speak all the three?

(A) 1 (B) 2 (C) 3 (D) 5 (E) None of these

6. The average of 10 numbers is 40.2. Later it is found that 2 numbers have been wrongly added. The first is 18 greater than the actual number and the second number added is 13 instead of 31. Find the correct average.

(A) 40.2 (B) 40.4 (C) 40.6 (D) 40.8 (E) 41

7. A man has 1044 candles. After burning, he can make a new candle from 9 stubs left behind. Find the maximum number of candles that can be made.

(A) 116 (B) 120 (C) 130 (D) 140 (E) 144

8. The sides of a triangular are in the ratio of 1/2: 1/3 : 1/4. if the perimeter is 52 cm. the length of the smallest side is...

(A) 9 cm (B) 10 cm (C) 16 cm (D) 24 cm (E) 12 cm

9. Find the last number of the sequence: 8, 12, 24, 60,…….,

(A) 168 (B) 120 (C) 90 (D) 144 (E) 178

The cast of a benefit program will consist of exactly four actors to be selected from the seven actors P, Q, R, S, T, U and V according to the following conditions:

i. Either P or T must be in the cast; but they cannot both be in the cast.ii. If T is in the cast, then Q must be in the cast

iii. If U is in the cast, then neither P not R can be in the cast.

1. If U is in the cast, then which of the following must also be in the cast?

(A) P (B) Q (C) R (D) S (E) V

2. If P is in the cast, then any of the following groups of three could make up the rest of the cast except

(A) Q, R and S (B) Q, R and V (C) R, S and V (D) S, U, and V (E) None of these

1. The boys and girls are in the ratio 3:7 in a school. 25% of the boys and 20% of the girls are scholarship holders. How much percent of the total students do not get scholarships?

(A) 68 (B) 75 (C) 79.8 (D) 78.5 (E) 82.5

2. A cistern is two-third full of water. Pipe A can fill the remaining part in 12 minutes and pipe B in 8 minutes. Once the cistern is emptied, how much time will they take to fill it together completely?

(A) 12 minutes (B) 12.5 min (C) 14.4 min (D) 10.2 min (E) 14.66 min

1. Mr. Mohit is 7 times as old as his son. 10 years hence he will be three times as old as his son. What is the difference in their present ages?

(A) 24 years (B) 30 years (C) 18 years (D) 36 years (E) 42 years

1. Three terrorists are employed to shoot a renowned person Mr. X. Only one bullet is sufficient to kill him if it strikes in the head. The probabilities of the terrorists striking Mr. X’s head by their bullets are 0.2, 0.3, and 0.4. What is the probability that Mr. X is shot dead?

(A) 0.336 (B) 0.9 (C) 0.1 (D) 0.760 (E) 0.664

2. Which of the following numbers is a perfect square?

(A) 10201 (B) 12223 (C) 11116 (D) 55555 (E) 10101

3. Mr. Rajiv and Mr. Jogesh can complete a piece of work in 6 days and 8 days respectively. They started together but Rajiv left the work after 2 days. In how many days will Mr. Jogesh complete the remaining work now?

(A) 19/4 days (B) 8/3 days (C) 9.5 days (D) 4 days (E) 10/3 days

Study the given series (A) carefully and answer the incomplete series (B), in the following questions. Assume that series B follows the same rule as series A.

1. Series A: 2, 5, 17, 71,…… Series B: 1, a, b, c…. What will replace the symbol c?

(A) 70 (B) 11 (C) 47 (D) 36 (E) 27

2. Series A: 2, 11, 47, 128,....; Series B: 5, m, n, o… The value of o is…..

(A) 45 (B) 50 (C) 60 (D) 131 (E) 121

1. 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

On rolling 6 dice, it is found that

(I) Exactly 3 dice show the same number (II) Only 1 die shows 6 (III) Not more than 3 dice show 4 or more

1. What is the minimum possible total of numbers on the faces, if the three dice having same number show 2?

(A) 20 (B) 22 (C) 11 (D) 14 (E) 15

2. What is the maximum total, if 4 of the dice show less than 4?

(A) 28 (B) 22 (C) 17 (D) 23 (E) 24

1. A square is drawn inside a right-angled triangle with the two perpendicular sides as 12 cm and 8 cm. what is the side of the largest possible square that can be drawn?

(A) 4 cm (B) 4.8 cm (C) 4.5 cm (D) 4.4 cm (E) 5 cm

2. The distance between Charu’s and Mani’s places is 120 km. Charu traveled the whole distance from her place to mani’s at 30 km/hr but returned at 40 km/hr. her average speed for the whole journey is (approximately).

(A) 36 km/hr (B) 37 km/hr (C) 33 km/hr (D) 34 km/hr (E) 35 km/hr

1. A 90kg salt solution has 10% salt in it. How much water must be evaporated from it so that the solution now contains 25% salt?

(A) 54 (B) 45 (C) 36 (D) 27 (E) 18

2. Variables R and S are related by the equation R = 1/S2. Now, if S is increased by 10%, what will happen to R?

(A) R decreases by 19% (B) R decreases by 10%

(C) R decreases by 17% (D) R decreases by 21% (E) R increases by 21%

3. The sum of two times one natural number and three times another natural number is less than 24. if the first natural number is less than or equal to eight, the highest value of the second natural number is:

(A) 5 (B) 6 (C) 7 (D) 8 (E) 9

4. A class photograph has to be taken. The front row consists of 6 girls who are sitting. 20 boys are standing behind. The two comer positions are reserved for the 2 tallest boy. In how many ways can the students be arranged?

(A) 18! x 720 (B) 6! x 1440 (C) 18! x 2! x 1440 (D) 18! x 1440 (E) None of These

There are seven family members viz, P, Q, R, S, T, U and V four of whom are females. The family runs into three generations. The family consists of two married couples, three daughters and two mothers. S is the brother of R. R is the mother of U. V is Q's son in law. P is the father of R.

1. Who is the husband of R ?

(A) Q (B) U (C) V (D) T (E) Either (A) or (C)

2. Which of the following is not true?

(A) Q is the mother of R. (B) T may be the sister of S (C) V is the father of T

(D) T and V are married (E) Options (B) and (D)

1. The population of a bacteria culture doubles every 2 minutes. Approximately how many minutes will it take for the population to grow from 1,000 to 500,000 bacteria?

(A) 10 (B) 12 (C) 14 (D) 18 (E) 20

2. If Sin and Cos are two roots of the equation ax2+ bx + c = 0, then which of the following is true?

(A) a2+b2 =2ac (B) a+b = c (C) a2 - b2 +2ac = 0 (D) a2 –b2 = 2ac (E) None of These

3. From the top of a building 60 metres high the angles of depression of the top and bottom of a tower are 30° and 60° respectively. The height of the tower is,

A. 40m (B) 30m (C) 20m (D) 50m (E) 20√3m

4. There are 6 positive and 8 negative numbers. Four numbers are chosen at random and multiplied. The probability that the product is positive is

A. 500/1001 (B) 503/1001 (C) 303/1001 (D) 101/1001 (E) 505/1001

5. The average age of all boys in the class is 16.66, while the average age of all girls in the same class is 18.75. Thus the average marks of all 40 students in the class is 17.5 what is the number of girls in the class?

(A) 12 (B) 16 (C) 18 (D) 20 (E) Data Insufficient

6. If a+b : b+c : c+a = 6:7:8 and a+b+c = 14, then the value of c is

(A) 6 (B) 7 (C) 8 (D) 14 (E) None of These

7. From each of the two given numbers, half of the smaller number is subtracted. Of the resulting numbers, the largest is three times the smaller one. What is the ratio of the two numbers?

(A) 5:4 (B) 5:2 (C) 3:2 (D) 2:1 (E) 7:4

8. Suppose n is an integer such that the sum of digits of n is 2 and 1010 < n< 1011. The number of different values for n is

(A) 11 (B) 10 (C) 9 (D) 8 (E) No Values Possible

9. A car is traveling at uniform speed. The driver sees a milestone showing a two digit number which is a perfect square, after traveling for an hour the driver sees another milestone with the same digits in reverse order and after another hour the driver sees another milestone containing the same two digits as part of a three digit number. What is the speed of the car? (A) 30 kmph (B) 40 kmph (C) 50 kmph (D) 60 kmph (E) 45 kmph

10. A tap can fill a tank in 16 minutes and another can empty it in 8 minutes. If the tank is already 1/2 full and both the taps are opened together, will the tank be filled or emptied? How long will it take before the tank is either filled completely or emptied completely as the case may be? .

(A) Emptied; 16 mins (B) Filled; 8 mins (C) Emptied; 12 mins (D) Filled; 12 mins (E) None of These

11. How many numbers can be formed using all of 1,2,3,4,5 (without repetition), when the digit at the units place must be greater than that in the tenth place?

A. 54 (B) 40 (C) 60 (D) 48 (E) 36

1. If A and B are to present the stand, which of the following is true if all preferences are to be met?

I. C will be the lead speaker. II. F will counter argue. III. F or H may counter argue.

(A) I and II only (B) II and III only (C) I, II & III (D) I & III (E) I only

2. If C is the lead speaker and F is one of the counter speakers. Which of the following students may or may not be selected in the 5 member team if all preferences are to be met?

(A) B (B) A (C) E (D) H (E) either E or H

1. A man is standing in front of a painting of a man, and he tells us the following: Brothers and sisters have I none, but this man's father is my father's son. Who is on the painting

His father

1. His grandfather

2. His son

3. He himself

2. 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?

1. 900

2. 488

3. 500

4. 800

3. Alok and Bhanu play the following min-max game. Given the expression

N = 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

1. 4

2. 2

3. -18

4. 9

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 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?

1. 10 hours

2. 9 hours

3. 8 hours

4. 7 hours

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?

1. 72

2. 12

3. 6

4. 18

6. The difference between the ages of two of my three grandchildren is 3. My eldest grandchild is three times older than the age of my youngest grandchild and my eldest grandchild's age is two years more than the ages of my two youngest grandchildren added together. How old is my eldest grandchild?

1. • 12

2. • 15

3. • 10

4. • 13

7. 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

1. • 14/19

2. • 37/38

3. • 1/2

4. • 3/4

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 for Rohit to drive that distance.

1. • 15.88

2. • 14.88

3. • 476

4. • 29.75

9. 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?

1. • 18

2. • 21

3. • 6

4. • 12

10. A greengrocer was selling apple at a penny each, chickoos at 2 for a penny and peanuts at 3 for a penny. A father spent 7p and got the same amount of each type of fruit for each of his three children. What did each child get?

1. • 1 apple, 2 chickoos, 2 peanuts

2. • 1 apple, 3 chickoos, 2 peanuts

3. • 1 apple, 2 chickoos, 1 peanut

4. • 1 apple, 1 chickoo, 1 peanut

11. 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?

1. • 8

2. • 40

3. • 37.80

4. • 5

12. Rearrange the following letters to make a word and choose the category in which it fits. RAPETEKA

1. • Bird

2. • Vegetable

3. • Fruit

4. • City

13. 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?

1. • Sunday

2. • Monday

3. • Thursday

4. • Tuesday

14. A hunter leaves his cabin early in the morning and walks one mile due south. Here he sees a bear and starts chasing it for one mile due east before he is able to shoot the bear. After shooting the bear, he drags it one mile due north back to his cabin where he started that morning. What color is the bear?

1. • Grey

2. • Black

3. • Brown

4. • White

15. 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?

1. • 432

2. • 6

3. • 72

4. • 12

1. 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?

• Monday

• Sunday

• Thursday

• Tuesday

2. 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

• 37/38

• 1/2

• 14/19

• 3/4

3. 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?

• 6

• 12

• 72

• 432

4. 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

• 18

• 21

• 6

5. A hunter leaves his cabin early in the morning and walks one mile due south. Here he sees a bear and starts chasing it for one mile due east before he is able to shoot the bear. After shooting the bear, he drags it one mile due north back to his cabin where he started that morning. What color is the bear?

• Brown

• White

• Black

• Grey

6. A greengrocer was selling apple at a penny each, chickoos at 2 for a penny and peanuts at 3 for a penny. A father spent 7p and got the same amount of each type of fruit for each of his three children. What did each child get?

• 1 apple, 2 chickoos, 2 peanuts

• 1 apple, 2 chickoos, 1 peanut

• 1 apple, 1 chickoo, 1 peanut

• 1 apple, 3 chickoos, 2 peanuts

7. 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?

• 7 hours

• 9 hours

• 8 hours

• 10 hours

8. 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?

• 900

• 500

• 488

• 800

9. A man is standing in front of a painting of a man, and he tells us the following: Brothers and sisters have I none, but this man's father is my father's son. Who is on the painting?

• His son

• His grandfather

• His father

• He himself

10. Rearrange the following letters to make a word and choose the category in which it fits. RAPETEKA

• City

• Bird

• Vegetable

• Fruit

11. 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 for Rohit to drive that distance.

• 14.88

• 15.88

• 476

• 29.75

12. The difference between the ages of two of my three grandchildren is 3. My eldest grandchild is three times older than the age of my youngest grandchild and my

eldest grandchild's age is two years more than the ages of my two youngest grandchildren added together. How old is my eldest grandchild?

• 12

• 15

• 10

• 13

13. 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?

• 6

• 18

• 12

• 72

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?

• 37.80

• 40

• 8

• 5

15. Alok and Bhanu play the following min-max game. Given the expression

N = 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

• 9

• -18

• 2

• 4