Quantitative aptitude sbi po bank exam

1. Ten years ago, A was half of B in age. If the ratio of their present ages is 3:4, what will be the total of their present ages?
A. 45	B. 40
C. 35	D. 30

Answer : Option C

Explanation :

Let the present age of A and B be 3x and 4x respectively.

Ten years ago, P was half of Q in age

=> 3x-10 =   1
      4x-10     2

 =>6x-20=4x-10

 =>2x=10  =>x=5

 =>3(5) +4(5)=15+20=35

2. 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 be of Sunil's age?
A. 4 times	B. 4 times
C. 2 times	D. 3 times

Answer : Option C

Explanation :

Assume that Sunil's present age = x.
Then father's present age = 3x + x = 4x
After 8 years, fathers age = 2 ½ times of Sunils' age
=> (4x+8) = 2 ½ × (x+8)
=> 4x + 8 = (5/2) ×(x + 8)
=> 8x + 16 = 5x+ 40
=> 3x = 40-16 = 24
=> x = 24/3 = 8
After further 8 years,
Sunil's age = x + 8+ 8 = 8+8+8 = 24
Father's age = 4x + 8 + 8 = 4 × 8 + 8 + 8 = 48
Father's age/Sunil's age = 48/24 = 2

3. A man is 20 years older than his son. In two years, his age will be twice the age of his son. What is the present age of his son?
A. 23 years	B. 18 years
C. 21 years	D. 20 years

Answer : Option B

Explanation :

Let the present age of the son = x years
Then present age the man = (x+20) years
Given that in 2 years, man's age will be twice the age of his son
=>x+20 +2 = 2(x+2)
=> x = 18

4.Present ages of jeevan and Ram are in the ratio of 5 : 4 respectively. three years hence, the ratio of their ages will become 11 : 9 respectively. What is Ram  present age in years?
A. 28	B. 27
C. 26	D. 24

 Option D

Explanation
=> Let the present age of jeevan = 5x
Present age of Ram = 4
After 3 years, ratio of their ages = 11:9
=> (5x+3) / (4x+3) = 11/9
=> 9(5x + 3) = 11(4x + 3)
=> x = 33-27 =6
Ram's present age = 4x = 4×6 = 24

5.

5.A is two years older than B who is twice as old as C. The total of the ages of A, B and C is 27. How old is B? A. 10                                  B. 9 C. 8 D.7
Answer : Option A Explanation : Let the age of C = x. Then Age of B = 2x, Age of A = 2 + 2x => (2+2x) + 2x + x = 27 => 5x = 25 => 25/5 = B's age = 2x = 2×5 = 10