Placement Questions - 11

7/27/2019 Placement Questions - 11

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Aptitude Questions

1. In a class composed of x girls and y boys what part of the class is

composed of girls

A.y/(x + y) B.x/xy C.x/(x + y) D.y/xy (Ans.C)

2. What is the maximum number of half-pint bottles of cream that can

be filled with a 4-gallon can of cream(2 pt.=1 qt. and 4 qt.=1 gal)

A.16 B.24 C.30 D.64 (Ans.D)

3. .If the operation,^ is defined by the equation x ^ y = 2x + y,what is

the value of a in 2 ^ a = a ^ 3

A.0 B.1 C.-1 D.4 (Ans.B)

4. A coffee shop blends 2 kinds of coffee,putting in 2 parts of a 33p. a

gm. grade to 1 part of a 24p. a gm.If the mixture is changed to 1 part of the33p. a gm. to 2 parts of the less expensive grade,how much will the shop

save in blending 100 gms.

A.Rs.90 B.Rs.1.00 C.Rs.3.00 D.Rs.8.00 (Ans.C)

5. There are 200 questions on a 3 hr examination.Among these

questions are 50 mathematics problems.It is suggested that twice as muchtime be spent on each maths problem as for each other question.How many

minutes should be spent on mathematics problems

A.36 B.72 C.60 D.100 (Ans.B)

6. In a group of 15,7 have studied Latin, 8 have studied Greek, and 3

have not studied either.How many of these studied both Latin and Greek

A.0 B.3 C.4 D.5 (Ans.B)

7. If 13 = 13w/(1-w) ,then (2w)2 =

A.1/4 B.1/2 C.1 D.2 (Ans.C)

8. If a and b are positive integers and (a-b)/3.5 = 4/7, then

(A) b < a (B) b > a (C) b = a (D) b >= a

(Ans. A)

9. In june a baseball team that played 60 games had won 30% of its

game played. After a phenomenal winning streak this team raised its


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average to 50% .How many games must the team have won in a row to

attain this average?

A. 12 B. 20 C. 24 D. 30 (Ans. C)10. M men agree to purchase a gift for Rs. D. If three men drop out how

much more will each have to contribute towards the purchase of the gift/

A. D/(M-3) B. MD/3 C. M/(D-3) D. 3D/(M2-3M)(Ans. D)

11. . A company contracts to paint 3 houses. Mr.Brown can paint a

house in 6 days while Mr.Black would take 8 days and Mr.Blue 12 days.After 8 days Mr.Brown goes on vacation and Mr. Black begins to work for a

period of 6 days. How many days will it take Mr.Blue to complete the

contract?A. 7 B. 8 C. 11 D. 12 (Ans.C)

12. 2 hours after a freight train leaves Delhi a passenger train leaves the

same station travelling in the same direction at an average speed of 16km/hr. After travelling 4 hrs the passenger train overtakes the freight train.

The average speed of the freight train was?

A. 30 B. 40 C.58 D. 60 (Ans. B)

13. If 9x-3y=12 and 3x-5y=7 then 6x-2y = ?

A.-5 B. 4 C. 2 D. 8 (Ans. D)14. There are 5 red shoes, 4 green shoes. If one draw randomly a shoewhat is the probability of getting a red shoe (Ans

5c1/ 9c1)

15. What is the selling price of a car? If the cost of the car is Rs.60 anda profit of 10% over selling price is earned (Ans: Rs 66/-)

16. 1/3 of girls , 1/2 of boys go to canteen .What factor and total number

of classmates go to canteen.Ans: Cannot be determined.

17. The price of a product is reduced by 30% . By what percentage

should it be increased to make it 100% (Ans:

42.857%)

18. There is a square of side 6cm . A circle is inscribed inside the

square. Find the ratio of the area of circle to square. (Ans. 11/14 )

19. There are two candles of equal lengths and of different thickness.

The thicker one lasts of six hours. The thinner 2 hours less than the thickerone. Ramesh lights the two candles at the same time. When he went to bed

he saw the thicker one is twice the length of the thinner one. How long ago


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did Ramesh light the two candles .

Ans: 3 hours.

20. If M/N = 6/5,then 3M+2N = ?

21. If p/q = 5/4 , then 2p+q= ?

22. If PQRST is a parallelogram what it the ratio of triangle PQS &

parallelogram PQRST . (Ans: 1:2 )

23. The cost of an item is Rs 12.60. If the profit is 10% over selling

price what is the selling price ?

(Ans: Rs 13.86/- )

24. There are 6 red shoes & 4 green shoes . If two of red shoes are

drawn what is the probability of getting red shoes (Ans: 6c2/10c2)

25. To 15 lts of water containing 20% alcohol, we add 5 lts of pure

water. What is % alcohol. (Ans : 15% )

26. A worker is paid Rs.20/- for a full days work. He works

1,1/3,2/3,1/8.3/4 days in a week. What is the total amount paid for that

worker ? (Ans : 57.50 )

27. If the value of x lies between 0 & 1 which of the following is the

largest?

(a) x b) x

2

(c) x (d) 1/x (Ans : (d) )28. If the total distance of a journey is 120 km .If one goes by 60 kmphand comes back at 40kmph what is the average speed during the

journey? Ans: 48kmph

29. A school has 30% students from Maharashtra .Out of these 20% areBombey students. Find the total percentage of Bombay? (Ans: 6%)

30. An equilateral triangle of sides 3 inch each is given. How many

equilateral triangles of side 1 inch can be formed from it? (Ans: 9)

31. If A/B = 3/5,then 15A = ? (Ans : 9B)

32. Each side of a rectangle is increased by 100% .By what percentage

does the area increase? (Ans : 300%)

33. Perimeter of the back wheel = 9 feet, front wheel = 7 feet on a

certain distance, the front wheel gets 10 revolutions more than the backwheel .What is the distance? Ans : 315 feet


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34. Perimeter of front wheel =30, back wheel = 20. If front wheel

revolves 240 times. How many revolutions will the back wheel take?

Ans: 360 times

35. 20% of a 6 litre solution and 60% of 4 litre solution are mixed. What

percentage of the mixture of solution

(Ans: 36%)

36. City A's population is 68000, decreasing at a rate of 80 people per

year. City B having population 42000 is increasing at a rate of 120 people

per year. In how many years both the cities will have

same population? (Ans: 130 years)

37. Two cars are 15 kms apart. One is turning at a speed of 50kmph and

the other at 40kmph . How much time will it take for the two cars to

meet? (Ans: 3/2 hours)38. A person wants to buy 3 paise and 5 paise stamps costing exactly

one rupee. If he buys which of the following number of stamps he won't able

to buy 3 paise stamps. Ans: 9

39. There are 12 boys and 15 girls, How many different dancing groups

can be formed with 2 boys and 3 girls.

40. Which of the following fractions is less than 1/3

(a) 22/62 (b) 15/46 (c) 2/3 (d) 1 (Ans:

(b))

41. There are two circles, one circle is inscribed and another circle iscircumscribed over a square. What is the ratio of area of inner to outer

circle? Ans: 1 : 2

42. Three types of tea the a,b,c costs Rs. 95/kg,100/kg and70/kgrespectively.How many kgs of each should be blended to produce 100 kg of

mixture worth Rs.90/kg, given that the quntities of band c are equal

a)70,15,15 b)50,25,25 c)60,20,20 d)40,30,30(Ans. (b))

43.

in a class, except 18 all are above 50 years.15 are below 50 years ofage. How many people are there

(a) 30 (b) 33 (c) 36 (d) none of these. (Ans. (d))

44. If a boat is moving in upstream with velocity of 14 km/hr and goesdownstream with a velocity of 40 km/hr, then what is the speed of the

stream ?

(a) 13 km/hr (b) 26 km/hr (c) 34 km/hr (d) none of these (Ans.

A)

45. Find the value of ( 0.75 * 0.75 * 0.75 - 0.001 ) / ( 0.75 * 0.75 - 0.075

+ 0.01)(a) 0.845 (b) 1.908 (c) 2.312 (d) 0.001


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(Ans. A)

46. A can have a piece of work done in 8 days, B can work three times

faster than the A, C can work five times faster than A. How many days willthey take to do the work together ?

(a) 3 days (b) 8/9 days (c) 4 days (d) can't say (Ans. B)

47. A car travels a certain distance taking 7 hrs in forward journey,

during the return journey increased speed 12km/hr takes the times 5

hrs.What is the distancetravelled

(a) 210 kms (b) 30 kms (c) 20 kms (c) none of these (Ans.

B)48. Instead of multiplying a number by 7, the number is divided by 7.

What is the percentage of error obtained ?

49. Find (7x + 4y ) / (x-2y) if x/2y = 3/2 ?

(a) 6 (b) 8 (c) 7 (d) data insufficient (Ans. C)

50. A man buys 12 lts of liquid which contains 20% of the liquid and therest is water. He then mixes it with 10 lts of another mixture with 30% of

liquid.What is the % of water in the new mixture?

51. If a man buys 1 lt of milk for Rs.12 and mixes it with 20% water andsells it for Rs.15, then what is the percentage of gain?

52. Pipe A can fill a tank in 30 mins and Pipe B can fill it in 28 mins.If

3/4th of the tank is filled by Pipe B alone and both are opened, how much

time is required by both the pipes to fill the tank completely ?

53. 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%

(Ans. D)

54. A certain number of men can finish a piece of work in 10 days. If

however there were 10 men less it will take 10 days more for the work to be

finished. How many men were there originally?

(a) 110 men (b) 130 men (c) 100 men (d) none of these (Ans.

A)

55. In simple interest what sum amounts of Rs.1120/- in 4 years and

Rs.1200/- in 5 years ?


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(a) Rs. 500 (b) Rs. 600 (c) Rs. 800 (d) Rs. 900

(Ans. C)

56. If a sum of money compound annually amounts of thrice itself in 3

years. In how many years will it become 9 times itself.

(a) 6 (b) 8 (c) 10 (d) 12 (Ans A)57. 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

(Ans B)

58. How many mashes are there in 1 squrare meter of wire gauge if each

mesh

is 8mm long and 5mm wide ?

(a) 2500 (b) 25000 (c) 250 (d) 250000 (Ans B)

59. x% of y is y% of ?(a) x/y (b) 2y (c) x (d) can't be determined Ans. C

60. The price of sugar increases by 20%, by what % should a housewife

reduce the consumption of sugar so that expenditure on sugar can be same

as before ?

(a) 15% (b) 16.66% (c) 12% (d) 9%

(Ans B)

61. 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

(Ans C)

62. The population of a city increases @ 4% p.a. There is an additionalannual increase of 4% of the population due to the influx of job seekers, find

the % increase in population after 2 years ?

63. The ratio of the number of boys and girls in a school is 3:2 Out ofthese 10% the boys and 25% of girls are scholarship holders. % of students

who are not scholarship holders.?

64. 15 men take 21 days of 8 hrs. each to do a piece of work. How many

days of 6 hrs. each would it take for 21 women if 3 women do as much work


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as 2 men?

(a) 30 (b) 20 (c) 19 (d) 29 (Ans. A)

65. A cylinder is 6 cms in diameter and 6 cms in height. If spheres of the

same size are made from the material obtained, what is the diameter of each

sphere?

(a) 5 cms (b) 2 cms (c) 3 cms (d) 4 cms (Ans C)

66. A rectangular plank (2)1/2 meters wide can be placed so that it is on

either side of the diagonal of a square shown below.(Figure is not

available)What is the area of the plank? ( Ans :

7*(2)1/2 )

67. What is the smallest number by which 2880 must be divided in order

to make it into a perfect square ?

(a) 3 (b) 4 (c) 5 (d) 6 (Ans. C)

68. A father is 30 years older than his son however he will be only thriceas old as the son after 5 years what is father's present age ?

(a) 40 yrs (b) 30 yrs (c) 50 yrs (d) none of these (Ans.A)

69. An article sold at a profit of 20% if both the cost price and sellingprice would be Rs.20/- the profit would be 10% more. What is the cost price

of that article?

70. If an item costs Rs.3 in '99 and Rs.203 in '00.What is the % increase

in price?

(a) 200/3 % (b) 200/6 % (c) 100% (d) none of these (Ans.

A)

71. 5 men or 8 women do equal amount of work in a day. a job requires3 men and 5 women to finish the job in 10 days how many woman are

required to finish the job in 14 days.a) 10 b) 7 c) 6 d) 12 (Ans 7)

72. A simple interest amount of rs 5000 for six month is rs 200. what is

the anual rate of interest?

a) 10% b) 6% c) 8% d) 9% (Ans 8%)

73. In objective test a correct ans score 4 marks and on a wrong ans 2

marks are ---. a student score 480 marks from 150 question. how many

ans were correct?a) 120 b) 130 c) 110 d) 150 (Ans130)


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74. An artical sold at amount of 50% the net sale price is rs 425 .what is

the list price of the artical?

a) 500 b) 488 c) 480 d) 510 (Ans 500)

75. A man leaves office daily at 7pm A driver with car comes from his

home to pick him from office and bring back home.One day he gets free at5:30 and instead of waiting for driver he starts walking towards home. In the

way he meets the car and returns home on car He reaches home 20 minutes

earlier than usual. In how much time does the man reach homeusually?? (Ans. 1hr 20min)

76. A works thrice as much as B. If A takes 60 days less than B to do a

work then find the number of days it would take to complete the work ifboth work together?

Ans. 22days

77. How many 1's are there in the binary form of 8*1024 + 3*64 +3 Ans. 4

78. In a digital circuit which was to implement (A B) + (A)XOR(B), thedesigner implements (A B) (A)XOR(B) What is the probability of error in

it ?

79. A boy has Rs 2. He wins or loses Re 1 at a time If he wins he gets

Re 1 and if he loses the game he loses Re 1.He can loose only 5 times. He is

out of the game if he earns Rs 5.Find the number of ways in which this ispossible? (Ans. 16)

80. If there are 1024*1280 pixels on a screen and each pixel can have

around 16 million colors. Find the memory required for this? (Ans.4MB)

81. . On a particular day A and B decide that they would either speak thetruth or will lie. C asks A whether he is speaking truth or lying? He answersand B listens to what he said. C then asks B what A has said B says "A says

that he is a liar" What is B speaking ?(a) Truth (b) Lie (c) Truth when A

lies (d) Cannot be determined

Ans. (b)

82. What is the angle between the two hands of a clock when time is

8:30

Ans. 75(approx)


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83. A student is ranked 13th from right and 8th from left. How many

students are there in totality ?

84. A man walks east and turns right and then from there to his left and

then 45degrees to his right.In which direction did he go (Ans. North

west)

85. A student gets 70% in one subject, 80% in the other. To get

an overall of 75% how much should get in third subject.

86. A man shows his friend a woman sitting in a park and says that she

the daughter of my grandmother's only son.What is the relation between the

two

Ans. Daughter

87. How many squares with sides 1/2 inch long are needed to cover arectangle that is 4 ft long and 6 ft wide

(a) 24 (b) 96 (c) 3456 (d) 13824 (e) 14266

88. If a=2/3b , b=2/3c, and c=2/3d what part of d is b/

(a) 8/27 (b) 4/9 (c) 2/3 (d) 75% (e) 4/3 Ans. (b)

89. 2598Successive discounts of 20% and 15% are equal to a single

discount of

(a) 30% (b) 32% (c) 34% (d) 35% (e) 36 Ans.

(b)90. The petrol tank of an automobile can hold g liters.If a liters wasremoved when the tank was full, what part of the full tank was removed?

(a)g-a (b)g/a (c) a/g (d) (g-a)/a (e) (g-a)/g (Ans. (c))

91. If x/y=4 and y is not '0' what % of x is 2x-y

(a)150% (b)175% (c)200% (d)250% (Ans. (b))


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5. Sandra has not rarely missed a play or concert since she was seventeen years old.a. not rarely

b. a playc. sinced. was seventeen years old

6. The governor has not decided how to deal with the new problems already.a. Theb. hasc. how to deal withd. already

7. There was a very interesting news on the radio this morning about the earthquake in Italy.a. there wasb. ac. on the

d. aboutA.

B. Part III [1 x 6 = 6 Marks]

In question 15-20, the given pair of words contains a specific relationship to each other. Select thebest pair of choices which expresses the same relationship as the given.

1. PROCRASTINATOR : DELAY ::a. flatterer : undermineb. genius : creativityc. tyrant : influenced. general : salute

2. APIARY : BEE ::a. mountain : skierb. airport : flightc. schedule : eventd. stable : horse

3. OVATION : APPLAUSE ::a. grief : lossb. rout : defeatc. triumph : failured. pathway : ruin

4. DOLPHIN : FLIPPER ::a. insect : antenna

b. burglar : maskc. gull : wingd. plane : radar

5. WATERTIGHT : MOISTURE ::a. hermetic : airb. combatant : strifec. somnolent : boredomd. ocean : shore

6. PLAYWRIGHT : SCRIPT ::a. composer : scoreb. physician : diagnosisc. verse : poet

d. king : parliament


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A. Part IV [1 x 5 = 5 Marks]

In question 21-25, choose the best word, which is most opposite in the meaning to the given word.

1. LUCIDa. underlyingb. complex

c. luxuriousd. tight

2. LATITUDEa. frenzyb. attitudec. altituded. restriction

3. GRATUITOUSa. Noticeableb. Usefulc. Needfuld. Original

4. MERITORIOUS

a. Simple

b. Inferior

c. Unrewarding

d. Young

5. VOUCHSAFE

a. steal

b. postpone

c. refused. injure

A. Passage Comprehension [1 x 7 = 7 Marks]

Line 1. A recent investigation by scientists at the U.S. Geological Survey shows that strange animal

behavior might help predict earthquakes. Investigators found such occurrences within a ten-

kilometer radius of the epicenter of a fairly recent quake. Some birds screeched and flew about

wildly; dogs yelped and ran around uncontrollably.

Line 5. Scientists believe that animals can perceive environmental changes several hours or even

days before the mishaps. Animals were notes as being restless for several weeks before a

Tashkent, Uzbekistan, earthquake. An hour before the disaster, domestic animals refused to goindoors and dogs howled and barked furiously. In 1960, an earthquake struck Agadir in Morocco.

Survivors recall that stray animals, including dogs, were seen streaming out of town before the

earthquake. In a safari zoo near San Francisco, llamas would not eat the evening before a 1979

quake, and they ran around wildly all night.

Line 12. Unusual animal behavior preceding earthquakes has been noted for centuries. British

Admiral Robert Fitzroy reported huge flocks of screaming seabirds over Conception, Chile, in 1835.

An hour and half later, dogs were seen fleeing, and ten minutes later the town was destroyed.

Similar stories of chickens running around in apparent states of panic, horses trembling and dogs

barking incessantly were recorded throughout the eighteenth and nineteenth centuries by

survivors of earthquake destruction in India, Yugoslavia, Peru, Mexico and the Unites States.

Line 18. In 1976, after monitoring bizarre animal behavior, the Chinese predicted a devastatingearthquake. Although hundreds of thousand of people were killed, the government was able to


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evacuate millions of others people and thus keep the death toll at a lower level.

1. What prediction may be made by observing animal behavior?

a. An impending earthquake

b. The number of people who will die

c. The ten-kilometer radium from the epicenter

d. The fact that an earthquake has occurred.

2. The author implies that animals are aware of an impending earthquake because

a. Of their intelligence

b. They have certain instinctive abilities to perceive that human do not possess

c. They are generally closer to the epicenter than the human observers

d. They react to other animal behaviors

3. The word "evacuate" in line 20 closest in meaning to

a. remove

b. exile

c. Destroy

d. emaciate

4. All of the following statement are true EXCEPT

a. some animals may be able to sense an approaching earthquake

b. by observing animal behavior scientist perhaps can predict earthquakes

c. the Chines have successfully predicted an earthquake and saved may lives

d. only dogs and horses seem to possess the special perception that allows them to predict

earthquakes

5. In line 3 the word " epicenter" is nearest in meaning to

a. stratosphere

b. Contour

c. Periphery

d. Core

6. The passage implies that if scientist can accurately predict earthquakes there will be

a. fewer animal going crazy

b. a lower death rate

c. fewer people evacuated

d. fewer environmental changes

7. In line 18 "devastating" means most nearly the same as

a. destructive

b. voracious

c. intense

d. forthcoming


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I. Logical and Analytical Reasoning Ability:

A. Part I : Logical Reasoning Ability [1 x 9 = 9 Marks]

For Question 1-5 : Six actors Bob, Carol, Dave. Ed, Frank, and Grace are auditioning

for a part in an off-Broadway play. The auditions for a part in an off-Broadway play. The

auditions will take place over four consecutive days, starting on a Thursday. Each actorwill have one audition. The days on which the different actors will audition must

conform to the following conditions :

At least one audition will take place on any day.

No more than two auditions will take place on any day

No more than 3 auditions will take place on any two consecutive days

Bobs audition must take place on Saturday

Carols audition must take place on the same day as another audition

Franks audition must take place on a day before graces audition

Daves audition must take place on a day after Eds audition

1. if only one audition takes place on Thursday, which actor could have that audition

a. Bobb. Carol

c. Dave

d. Frank

e. Grace

2. If Bobs and franks auditions are on the same day, which of the following must be

true

a. Daves audition will take place on Thursday

b. Daves audition will take place on Friday

c. Graces audition will take place on Thursday

d. Carols audition will take place on Sunday

e. Eds audition will take place on Sunday

3. If the director decides to two hold the auditions on Thursday and two on Sunday,

how many actors would be eligible to audition on Friday

a. 1

b. 2

c. 3

d. 4

e. 5

4. If Ed and Grace have their auditions on the same day, which of the following must be

true?

a. Eds audition will take place on Thursday

b. Franks audition will take place on Thursday

c. Carols audition will take place on Saturday

d. Graces audition will take place on Saturday

e. Carols audition will take place on Sunday

5. If Eds audition is on Saturday, which of the following actors cannot audition on the

same day as any other actor?

a. Bob

b. Carol

c. Ed

d. Frank

e. Grace

For Question 6-9 : As part of their sports physicals, seven collegiate athletes F, G, H, I,


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J, K & L are being weighed. In announcing the results of the physical exams, the

coach has given the following information:

None of the athletes is exactly the same weight as another athlete

K is heavier than L, but lighter than H

I is heavier than J

Both F and G are heavier than H.

6. Each of the following could be true EXCEPT

a. F is the heaviest

b. G is the heaviest

c. I is the heaviest

d. More than three athletes are heavier than K

e. More than three athletes are lighter than K

7. Which of the following, if true, would be sufficient to determine which athlete is the

lightest?

a. I is the heaviest

b. I is lighter than K

c. K is heavier than Jd. J is heavier than K

e. Exactly five students are lighter than F

8. If J is heavier than F, how many different rankings, by weight, of the athletes are

possible?

a. 1

b. 2

c. 4

d. 6

e. 8

9. If H is heavier than I, which of the following CANNOT be true?

a. Is weight is equal to the average of Fs weight and Gs weight

b. Is weight is equal to the average of Ks weight and Ls weight

c. Js weight is equal to the average of Ks weight and Ls weight

d. J is the second lightest

e. J is the lightest

. Part I : Problem Solving Ability [1 x 25 = 25 Marks]

1. A truck departed from Newton at 11:53a.m. and arrived in Far City, 240 miles away, at 4:41 p.m.

on the same day. What was the approximate average speed of the truck on this trip?

a. 16/1,200 MPH

b. 40/288 MPH

c. 1,494/240 MPH

d. 50 MPH

1. If m,n,o and p are real numbers, each of the following expressions equals m(nop) EXCEPT

a. (op)(mn)

b. ponm

c. (mn)(mo)(mp)

d. (mp)(no)

1. If the ratio of women to men in a meeting is 4 to 1, what percent of the persons in the meeting

are men?


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a. 20%

b. 25%

c. 33 1/3%

d. 80%

1. Tom received 89, 94, 86, and 96 on the first algebra tests. What grade must he receive on hislast test to have an average of 92?

a. 92

b. 94

c. 91

d. 95

1. If the measures of the three angles of a triangle are (3x + 15), (5x - 15), and (2x + 30), what is

the measure of each angle?

a. 75

b. 60c. 45

d. 25

1. Which of the following equations can be used to find a number x, if the difference between the

square of this number and 21 is the same as the product of 4 times the number?

a. x - 21 = 4x

b. x2- 21 = 4x

c. x2 = 21-4x

d. x + 4x2=21

1. Emile receives a flat weekly salary of Rs.240 plus 12% commission of the total volume of all

sales he makes. What must his rupees volume be in a week if he is to make a total weekly of

Rs.540?

a. Rs.2,880

b. Rs.3,600

c. Rs.6,480

d. Rs.2,500

1. A and B undertake to do a work for Rs.56. A can do it alone in 7 days and B in 8 days. If with the

assistance of a boy they finish the work in 3 days then the boy gets Rs.--

a. 11

b. 45c. 43

d. 21

1. A postal truck leaves its station and heads for Chicago, averaging 40mph. An error in the mailing

schedule is spotted and 24 minutes after the truck leaves, a car is sent to overtake the truck. If the

car averages 50mph, how long will it take to catch the postal truck?

a. 1.6 hours

b. 3 hours

c. 2 hours

d. 1.5 hours

1. In a class of 40 students, 30 speak French and 20 speak German. What is the lowest possible

number of students who speak both languages?


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a. 5

b. 20

c. 15

d. 10

1. The value of B in the equation a = (h/2)(B+b) is

a. (2a - b)/h

b. 2h/a - b

c. 2a - b

d. 2a/h b

1.

2. The perimeter of a square inscribed in the circumference of radius R is

a. 4R

b. 8R

c. 2R(2)1/2d. 4R(2)1/2

1. If R,S, and Q can wallpaper a house in 8 hours and R and S can do it in 12 hours, how long will it

take Q alone to wallpaper the house ?

a. 12 hours

b. 24 hours

c. 8 hours

d. 20 hours

1. An old picture has dimensions 33 inches by 24 inches. What one length must be cut from each

dimension so that the ratio of the shorter side to the longer side is 2:3?

a. 2 inches

b. 6 inches

c. 9 inches

d. 10 1/2 inches

1. In a group of 30 people the average height is 6 feet and 2 inches. Therefore, we can assume that

1. everyone is 6ft and 2 inches

2. most of the people are 6ft and 2 inches.

3. not all could be taller than 6ft and 2 inches.

a. 2 only

b. 3 only

c. 1 and 2 only

d. 1, 2 and 3

1. One wall being made entirely of bricks is 40% built. If we need 1,200 more bricks to complete

the wall, how many bricks will the wall have ?

a. 1,500b. 1,800


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c. 2,000

d. 2,400

1. In a College Bookstore where all books are the same price, a + b books are selling for Rs.1,000.

Myron buys 12 books and for each one has a discount of Rs.1. How much does Myron need to pay ?

a. [(a + b) - 1] x 12b. [(a + b)/1000 - 1] x 12

c. [(1000/(a + b)) - 1] x 12

d. [a + b] x 1

1. A square is inscribed in a circle of area 18p. What is the length of a side of the square ?

a. 6

b. 3

c. 3(2)1/2

d. 6(2)1/2

1. A box contains 6 red marbles and 4 blue marbles. What is the probability that if 2 marbles aresimultaneously drawn from the box, both will be red ?

a. 2/3

b. 1/3

c. 1/2

d. 1/5

1. If it is 250 kms from Delhi to Chandigarh and 120 kms from Delhi to Jaipur, what percentage of

the distance from Delhi to Chandigarh is the distance from Delhi to Jaipur?

a. 12

b. 24

c. 36

d. 48

1. A car goes 15 kms on a litre of petrol. When it is driven at 60 kms per hour it only goes 80% as

far. How many litres of petrol will it take to travel 120 kms driving at 60 kms per hour?

a. 2

b. 6.4

c. 8

d. 9.6

1. The solution of the equation 4 - 5(2y + 4) = 4 is

a. 1.-2/5

b. 8

c. 4

d. -2

1. I went to Lucky Duck Casino and in the first game I lost one-third of my money, in the second

game I lost half of the rest. If I still have Rs.1,000, how much money did I have when I arrived at

the Casino?

a. Rs.1,000

b. Rs.2,000

c. Rs.3,000d. Rs.6,000

e.


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1. For each Rupee spent by the sales department, the research department spends 20 paise. For

every Rs. 4 spent by the research department, the packing department spends Rs.1.50. The triple

ratio of the money spent by the sales department to the money spent by the research department

to the money spent by the packing department can be expressed as

a. 40 : 8 : 3b. 20 : 4 : 1

c. 8 : 4 : 1

d. 1 : 1 : 5

e. 2 : 1 : 5

1. From the beginning to the end of 1996, the price of a rare book rose 20 percent. In 1997, it

dropped 25 percent. In 1998, it rose 20 percent. What percent of 1996`s starting price is 1998`s

starting price?

a. 90

b. 95

c. 100d. 108

Placement Questions - 11

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