Aptitude Written Test

1) 1. If a printer can print 2 pages of text per second, then at this rate, approximately how

many minutes will take to print 5000 pages of text.

a. 4 b. 25 c. 42 d. 250

2) Last year vivek saved 10% of his annual earnings, this year he earned 5% more than last

year and he saved 12% of his annual earnings. The amount saved this year was what

percentage of the amount saved last year?

a. 124%

b.126% c.128% d.122%

3) Q(3-4) In a class consisting of 75 students 25 didn’t know typing,45 knew short hand and 10 knew neither typing nor short hand.

How many students knew both typing and short hand?

a. 20 b. 25 c. 30 d. cannot be

determined

4) How many students knew only typing?

a. 20 b. 25 c. 30 d. 35

5) What is the value of 15²-14²+13²-12². . . . -2²+1²?

a. 225

b.265

c.120

d.125

6) Tanks A&B are each in the shape of right circular cylinder,the interior of tank A has a height of

10mts and circumference of 8mts and the interior of tank B has a height of 8mts and

circumference of 10mts. The capacity of tank A is what % capacity of tank B.

a. 80%

b.75% c.100%

d.120%

7) In a survey, 20% of a town has car, and 10% has a bike. 1/3rd of the car owners also own a

bike. What proportion of the town doesn’t own either a car or a bike?

a. 23/30

b. 11/15 c. 7/10

d. 1/6

8) In how many arrangements can a teacher seat 3 girls and 3 boys in a row of 6

Seats, if the boys are to have 1, 3, 5 seats?

a. 9 b. 12 c. 36 d. 720

9) There are 11 women and 9 men in certain club. If the club is to select a Committee of 2

women and 2 men, how many different such committees are possible.

a.120 b. 720 c. 1060 d. 1980

10) A grocer has 400 pounds of coffee in stock, 20% of which is decaffeinated. If the grocer buys

another 100 pounds of coffee of which 60% is decaffeinated. What percent by weight, of the

grocer stock of coffee is decaffeinated?

a. 30%

b. 28% c. 32%

d. 34%

11) Mr.Verma has two children and at least one of them is a girl. What is the probability that the

both children are girls?

a. ¼

b. ½

c. 300/11

d. Cannot be determined

12) 12. 4.8(10^9)/ 1.6(10³)

a. 30(10^6)

b. 30^5

c. 30(10^5)

d. [3(10)]^6

13) If I have to measure all weights from 1kg to 121kg , what is the minimum number of weights

I should keep?

a. 1 b. 5 c. 13 d. 21

14) If f(x)=minimum (3x+5,10-2x), what is the maximum possible value of f(x)?

a. 1 b. 3 c. 6 d. 8

15) Mara runs faster than gail, lily runs faster than mara, gail runs faster than lily. If the two

statements are true the third statement is

a. false

b. uncertain c. none d. true

16) A mountain goat attempts to scale a cliff 60 ft high every minute the goat bounds upward

three feet but slips back two, how long does it take for the goat to reach the top?

a. 1hr b. 48 mins c. 30min d. 58min

17) In the triangle ABC right angled at B, AB = 4cm. BC = 3 cm and DE=EF. If BE is extended to

meet AC at G, then find the length of AG.

a.15/7

b.20/7

c.35/14

d. 5/2

18) Questions 18 to 20 are based on the following:

If x and y are positive integers, then A(x,y) is defined as follows

A(0,y) = y+1

A(x,0) = x

A(x,y) = A(x-1,A(0,y-1))

A(0,0) = 1

The value of A(1,3) is

a. 1 b. 2 c.3 d. 4

19) The value of A(3,0) is

a. 2

b. 3

c. 4 d. 5

20) The value of A(2,0) is

a. 1 b. 2 c. 3 d. 4

21) In a 100 m race, A can give B 10 m and C 28 m. In the same race B can give C:

a. 18 m

b. 20 m c. 27 m

d. 9 m

22) A and B take part in 100 m race. A runs at 5 kmph. A gives B a start of 8 m and still beats him by

8 seconds. The speed of B is:

a. 5.15 kmph

b. 4.14 kmph

c. 4.25 kmph

d. 4.4 kmph

23) In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 140

m. Then, A wins by:

a. 60 m

b. 40 m c. 20 m

d. 10 m

24) In a 100 m race, A beats B by 10 m and C by 13 m. In a race of 180 m, B will beat C by:

a. 5.4 m

b. 4.5 m

c. 5 m

d. 6 m

25) At a game of billiards, A can give B 15 points in 60 and A can give C to 20 points in 60. How many

points can B give C in a game of 90?

a. 30 points

b. 20 points

c. 10 points

d. 12 points

26) Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the

top of the lighthouse is observed from the ships are 30º and 45º respectively. If the lighthouse is

100 m high, the distance between the two ships is:

a. 173 m

b. 200 m c. 273 m

d. 300 m

27) A man standing at a point P is watching the top of a tower, which makes an angle of elevation of

30º with the man's eye. The man walks some distance towards the tower to watch its top and

the angle of the elevation becomes 60º. What is the distance between the base of the tower

and the point P?

a. 8 units

b. 12 units

c. Data inadequate

d. None of these

28) The angle of elevation of a ladder leaning against a wall is 60º and the foot of the ladder is 4.6 m

away from the wall. The length of the ladder is:

a. 2.3 m

b. 4.6 m c. 7.8 m

d. 9.2 m

29) An observer 1.6 m tall is 203 away from a tower. The angle of elevation from his eye to the top

of the tower is 30º. The heights of the tower is:

a. 21.6 m

b. 23.2 m

c. 24.72 m

d. None of these

30) From a point P on a level ground, the angle of elevation of the top tower is 30º. If the tower is

100 m high, the distance of point P from the foot of the tower is:

a. 149 m

b. 156 m c. 173 m

d. 200 m

31) A bank offers 5% compound interest calculated on half-yearly basis. A customer deposits Rs.

1600 each on 1st January and 1st July of a year. At the end of the year, the amount he would

have gained by way of interest is:

a. Rs. 120

b. Rs. 121 c. Rs. 122

d. Rs. 123

32) The difference between simple and compound interests compounded annually on a certain sum

of money for 2 years at 4% per annum is Re. 1. The sum (in Rs.) is:

a. 625 b. 630 c. 640 d. 650

33) There is 60% increase in an amount in 6 years at simple interest. What will be the compound

interest of Rs. 12,000 after 3 years at the same rate?

a. Rs. 2160 b. Rs. 3120

c. Rs. 3972 d. Rs. 6240

34) What is the difference between the compound interests on Rs. 5000 for 1 & half years at 4% per

annum compounded yearly and half-yearly?

a. Rs. 2.04

b. Rs. 3.06 c. Rs. 4.80

d. Rs. 8.30

35) The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period (in years) is:

a. 2 b. 2 & half c. 3 d. 4

36) A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The

sum is:

a. Rs. 650

b. Rs. 690 c. Rs. 698

d. Rs. 700

37) Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the

simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest

earned in 2 years be Rs. 3508, what was the amount invested in Scheme B?

a. Rs. 6400

b. Rs. 6500

c. Rs. 7200

d. Rs. 7500

38) A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9 p.c.p.a. in 5 years. What is

the sum?

a. Rs. 4462.50

b. Rs. 8032.50

c. Rs. 8900

d. Rs. 8925

39) How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per

annum of simple interest?

a. 3.5 years

b. 4 years

c. 4.5 years

d. 5 years

40) Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If

she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest?

a. 3.6

b. 6

c. 18

d. Cannot be determined