Quant Quiz

Q1)-A person’s present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?

32 years

36 years

40 years

48 years

Ans.- C
Let the mother's present age be x years.
Then, the person's present age=(2/5x)years
Therefore= (2/5x + 8 )=1/2(x + 8) ON solving for x = 40 years

Q2)-The total age of A and B is 12 years more than the total age of B and C. C is how many years younger than A?

12

24

C is elder than A

Data inadequate

Ans.- A
[(A + B) - ( B + C) ] = 12
=A-C= 12

Q3)-The ration between the present ages of P and Q is 6 : 7. If Q is 4 years old than P, what will be the ratio of the ages of P and Q after 4 years?

3 : 4

3 : 5

4 : 3

7 : 8

Ans.- D
Let P's age and Q's age be 6x years and 7x years respectively
Then 7x - 6x
x = 4
(6x + 4) : (7x + 4)
28 : 32
7 : 8

Q4)-Rajeev’s age after 15 years will be 5 times his age 5 years back. What is the present age of Rajeev?

5 years

10 years

20 years

25 years

Ans.- B
Let Rajeev’s present age be x years.
Then Rajeev’s age 15 years = (x + 15) years
Rajeev’s age 5 years back = (x - 5) years
Therefore = x + 15 = 5 (x - 5)
= x + 15 = 5x - 25
= 4x = 40
x = 10

Q5)-Hitesh is 40 years old and Ronnie is 60 years old. How many years ago was the ration of their ages 3 : 5?

5 years

10 years

20 years

37 years

Ans.- B
Suppose , the ratio was 3 : 5 , x years ago.
Then , = 40- (x/60) -x = 3/5 solving for x we get x =10

Q6)-The ages of two persons differ by 16 years. If 6 years ago, the elder one be 3 times as old as the younger one, find their present ages.

14 years

17 years

24 years

29 years

Ans.- A
Let the age of the younger person be x years.
Then, age of the elder persons = (x + 16) years
Therefore = 3 (x - 6) = (x + 16 - 6)
3x - 18 = x + 10
2x = 28
x = 14 years

Q7)-The present ages of three persons are in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find present age of younger brothers.

8 , 20 , 28

16 , 28 , 36

20 , 35 , 45

Data inadequate

Ans.- B
Let their present ages be 4x, 7x and 9x years respectively.
Then, (4x - 8) + (7x - 8) + (9x - 8) = 56
20x = 80
x = 4
Their present ages are 16, 28, 36 years

Q8)-Rajan got married 8 years ago. His present age is 6/5 times his age at the time of his marriage. Rajan’s sister was 10 years younger to him at the time of his marriage. The age of Rajan’s sister is

32 years

36 years

38 years

40 years

Ans.- C
Let Rajan's present age be x years
Then, his age at the time of marriage = (x - 8 )years
Therefore x=6/5(x-6)
5x=6x-48
x = 48
Rajan's sister's age at the time of his marriage = (x - 18) = 30
(x - 8 ) -10
Rajan's sister's present age= (30 + 8 )
= 38 years

Q9)-The ratio between the present ages of P and Q is 6 : 7. If Q is 4 years old than P, what will be the ratio of the ages of P and Q after 4 years?

3 : 4

7 : 8

4 : 3

Data inadequate

Ans.- B
Let P’s age and Q’s age be 6x years and 7x years respectively.
Then, 7x - 6x = 4
x = 4
So, required ratio = (6x + 4) : (7x + 4) = 28 : 32 = 7 : 8

Q10)-Present ages of X and Y are in the ratio 5 : 6 respectively. Seven years hence this ratio will become 6 : 7 respectively. What is X’s present age in years?

35

42

49

Data inadequate

Ans.- A
LEt the present ages of X and Y be 5x years and 6x years respectively.
Then, (5x + 7)/ (6x + 7) = 6/7
7(5x + 7)=6(6x +7)
x = 7
So, X's present age = 5x = 35 years