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Details of Sample Exam 1 - Aptitude - General by 3i conducted by 3i for job interview.

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1. One of the following is my secret word: AIM DUE MOD

OAT TIE.With the list in front of you, if I were to tell you any one

of my secret word, then you would be able to tell me the number of

vowels in my secret word.Which is my secret word?

Ans.TIE

2. In the following figure:A B C D E F G H I

Each of the digits 1, 2, 3, 4, 5, 6, 7, 8, and 9 is:

a) Represented by a different letter in the figure above.

b) Positioned in the figure above so that each of A + B + C,C + D +E,E

+ F + G, and G + H + I is equal to 13.

Which digit does E represent? Ans.E is 4

3. One of Mr. Horton,his wife,their son,and Mr. Horton,s

mother is a doctor and another is a lawyer.

a) If the doctor is younger than the lawyer, then the doctor and the

lawyer are not blood relatives.

b) If the doctor is a woman, then the doctor and the lawyer are blood

relatives.

c) If the lawyer is a man, then the doctor is a man.Whose occupation

you know?

Ans.Mr. Horton:he is the doctor.

4. Here is a picture of two cubes:

a)The two cubes are exactly alike.

b)The hidden faces indicated by the dots have the same alphabet on

them. Which alphabet-q, r, w, or k is on the faces indicated by the

dots? Ans.q

5. In the following figure:

A D

B G E

C F

Each of the seven digits from 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 is:

a)Represented by a different letter in the figure above.

b)Positioned in the figure above so that A*B*C,B*G*E, and D*E*F are

equal. Which digit does G represent?

Ans.G represents the digit 2.

6. Mr. and Mrs. Aye and Mr. and Mrs. Bee competed in a

chess tournament.Of the three games played:

a)In only the first game werethe two players married to each other.

b)The men won two games and the women won one game.

c)The Ayes won more games than the Bees.

d)Anyone who lost game did not play the subsequent game. Who did not

lose a game?

Ans.Mrs.Bee did not lose a game.

7. Three piles of chips--pile I consists one chip, pile II

consists of chips, and pile III consists of three chips--are to be

used in game played by Anita and Brinda.The game requires:

a)That each player in turn take only one chip or all chips from just

one pile.

b)That the player who has to take the last chip loses.

c)That Anita now have her turn.From which pile should Anita draw in

order to win? Ans.Pile II

8. Of Abdul, Binoy, and Chandini:

a) Each member belongs to the Tee family whose members always tell the

truth or to the El family whose

members always lie.

b)Abdul says ,,Either I belong or Binoy belongs to a different family

from the other two."Whose family do you name of? Ans.Binoy,s

family--El.

9. 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)

10. 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)

11. .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)

12. 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 the 33p. 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)

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

questions are 50 mathematics problems.It is suggested that twice as

much time 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)

14. 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)

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

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

16. 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)

17. 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 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)

18. 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)

19. . 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)

20. 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 16 km/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)

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

A.-5 B. 4 C. 2 D. 8 (Ans. D)

22. There are 5 red shoes, 4 green shoes. If one draw randomly a

shoe what is the probability of getting a red shoe

(Ans 5c1/ 9c1)

23. What is the selling price of a car? If the cost of the car

is Rs.60 and a profit of 10% over selling price is earned

(Ans: Rs 66/-)

24. 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.

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

percentage should it be increased to make it 100%

(Ans: 42.857%)

26. 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 )

27. 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 thicker one. 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 did Ramesh light the two candles .

Ans: 3 hours.

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

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

30. If PQRST is a parallelogram what it the ratio of triangle

PQS & parallelogram PQRST . (Ans: 1:2 )

31. 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/- )

32. 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)

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

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

34. 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 )

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

is the largest?

(a) x b) x2 (c) x (d) 1/x (Ans : (d) )

36. If the total distance of a journey is 120 km .If one goes by

60 kmph and comes back at 40kmph what is the average speed during the

journey? Ans: 48kmph

37. A school has 30% students from Maharashtra .Out of these 20%

are Bombey students. Find the total percentage of Bombay? (Ans:

6%)

38. 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)

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

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

percentage does the area increase? (Ans : 300%)

41. Perimeter of the back wheel = 9 feet, front wheel = 7 feet

on a certain distance, the front wheel gets 10 revolutions more than

the back wheel .What is the distance? Ans : 315 feet

42. 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

43. 20% of a 6 litre solution and 60% of 4 litre solution are

mixed. What percentage of the mixture of solution

(Ans: 36%)

44. 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)

45. 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)

46. 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

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

groups can be formed with 2 boys and 3 girls.

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

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

(Ans: (b))

49. There are two circles, one circle is inscribed and another

circle is circumscribed over a square. What is the ratio of area of

inner to outer circle? Ans: 1 : 2

50. Three types of tea the a,b,c costs Rs. 95/kg,100/kg and70/kg

respectively.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))

51. in a class, except 18 all are above 50 years.15 are below 50

years of age. How many people are there

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

(Ans. (d))

52. If a boat is moving in upstream with velocity of 14 km/hr

and goes downstream 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)

53. 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

(Ans. A)

54. 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 will they take to do the work together ?

(a) 3 days (b) 8/9 days (c) 4 days (d) can,t say

(Ans. B)

55. 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)

56. Instead of multiplying a number by 7, the number is divided

by 7. What is the percentage of error obtained ?

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

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

58. A man buys 12 lts of liquid which contains 20% of the liquid

and the rest 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?

59. If a man buys 1 lt of milk for Rs.12 and mixes it with 20%

water and sells it for Rs.15, then what is the percentage of gain?

60. 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 ?

61. 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)

62. 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)

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

and Rs.1200/- in 5 years ?

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

(Ans. C)

64. 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)

65. 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)

66. 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)

67. x% of y is y% of ?

(a) x/y (b) 2y (c) x (d) can,t be determined Ans. C

68. 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)

69. 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)

70. The population of a city increases @ 4% p.a. There is an

additional annual increase of 4% of the population due to the influx

of job seekers, find the % increase in population after 2 years ?

71. The ratio of the number of boys and girls in a school is 3:2

Out of these 10% the boys and 25% of girls are scholarship holders. %

of students who are not scholarship holders.?

72. 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 as 2 men?

(a) 30 (b) 20 (c) 19 (d) 29

(Ans. A)

73. 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)

74. 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 )

75. 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)

76. A father is 30 years older than his son however he will be

only thrice as 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)

77. An article sold at a profit of 20% if both the cost price

and selling price would be Rs.20/- the profit would be 10% more. What

is the cost price of that article?

78. 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)

79. 5 men or 8 women do equal amount of work in a day. a job

requires 3 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)

80. 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%)

81. 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)

82. 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)

83. 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 at 5:30 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 home usually?? (Ans. 1hr

20min)

84. 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 if both work together?

Ans. 22days

85. How many 1,s are there in the binary form of 8*1024 + 3*64

+ 3 Ans. 4

86. In a digital circuit which was to implement (A B) +

(A)XOR(B), the designer implements (A B) (A)XOR(B) What is the

probability of error in it ?

87. 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 is possible? (Ans. 16)

88. 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)

89. . On a particular day A and B decide that they would either

speak the truth or will lie. C asks A whether he is speaking truth or

lying? He answers and 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)

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

is 8:30

Ans. 75(approx)

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

many students are there in totality ?

92. 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)

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

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

94. 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

95. How many squares with sides 1/2 inch long are needed to

cover a rectangle that is 4 ft long and 6 ft wide

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

96. 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)

97. 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)

98. The petrol tank of an automobile can hold g liters.If a

liters was removed 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))

99. 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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