1. Father is aged three times more than his son Sunil. After 8 years, he would be two and a half times of Sunil’s age. After further 8 years, how many times would he be of Sunil’s age?

1. 4 times

2. 4 times

3. 2 times

4. 3 times

Answer & Explanation

Answer :- 3

Explanation :-

Assume that Sunil’s present age = x

Then, father’s present age = 3x + x = 4x

After 8 years, father’s age = (5/2) times of Sunils’ age

After further 8 years,

(4x + 8) = (5/2)(x + 8)

8x + 16 = 5x + 40

3x = 40−16

x = 8

After further 8 years,

Sunil’s age = (x + 8) + 8 = 8 + 8 + 8 = 24

Father’s age = 4x + 8 = (4*8) + 8 = 48

Father’s age/Sunil’s age = 48/24 = 2

2. Ten years ago, P was half of Q’s age. If the ratio of their present ages is 3:4, what will be the total of their present ages?

1. 45

2. 40

3. 35

4. 30

Answer :- 3

Explanation :-

Let the present age of P and Q be 3x and 4x respectively.

Ten years ago, P was half of Q in age=> 2(3x – 10) = (4x – 10)

=> 6x – 20 = 4x – 10

=> 2x = 10

=> x = 5

3. Two numbers are such that if the first is subtracted from six times the second, their difference becomes 71, and if the second be added to 7 times the first , their sum becomes 62. The two numbers are

1. 19, 7

2. 13, 7

3. 7, 13

4. 17, 3

5. None of these

Answer & Explanation

Answer :- 3

Explanation :-

Let the number be x and y

Then 6y – x = 71 and 7x + y = 62

By Solving these equations

x = 7, y = 13

4. The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is:

1. 58

2. 48

3. 30

4. 20

Answer & Explanation

Answer:- 3

Explanation :-

a : b = 2 : 3

b : c = 5 : 8 = (5∗3/5) : (8∗3/5) = 3 : 24/5

a : b : c = 2 : 3 : 24/ 5 = 10:15:24

b = 98∗15/49 = 30

5. The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?

1. 17 : 18

2. 8 : 9

3. Cannot be determined

4. 21 : 22

Answer & Explanation

Answer:- 4

Explanation :-

Boys : Girls = 7 : 8

20% Increase in Boys = 20% of 7 = 1.4

10% Increase in Girls = 10% of 8 = 0.8

New Ratio => (7+1.4) : (8 + 0.8) = 8.4 : 8.8

84/10 : 88/10 => 21:22