Quant Quiz

Q1)-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

3 : 5

4 : 3

None of these

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

Q2)-The ratio between the present ages of P and Q is 5 : 7 respectively. If the difference between Q's present age and P's age after 6 years is 2, what is the total of P's and Q's present ages ?

48 years

52 years

56 years

Cannot be determined

Ans.- A
Let the present ages of P and Q be 5x years and 7x years respectively.
4x + 6 = 26
x =4
Required sum = 5x + 7x = 12x = 48 years

Q3)-At present , the ratio between the ages of Arun and Deepak is 4 : 3 . After 6 years , Arun's age will be 26 years . What is the age of Deepak at present ?

12 years

15 years

19 years

21 years

Ans.- B
Let the present ages of Arun and Deepak be 4x years and 3x years respectively
4x + 6 = 26
x = 5
Deepak's age = 3x = 15 years

Q4)-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

Cannot be determined

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

Q5)-Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. three years hence , the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years ?

24

27

40

None of these

Ans.- A
Let the present ages of Sameer and Anand be 5x years and 4x years respectively.
Then, (5x+3) / (4x +3 ) = 11/9
x = 6
Anand's present age = 4x = 24 years

Q6)-Six years ago , the ratio of the ages of Kunal and Sagar was 6 : 5. Four years hence , the ratio of their ages will 11 : 10 . What is Sagar's age at present ?

16 years

18 years

20 years

Cannot be determined

Ans.- A
Let the ages of Kunal and Sagar 6 years ago be 6x and 5x years respectively.
Then , (6x+6) + 4 / (5x + 6) +4 = 11/10
x = 2
Sagar's present age = ( 5x + 6) = 16 years

Q7)-The total of the ages of Jayant , Prem and Saransh is 93 years. Ten years ago , the ratio of their ages was 2 : 3 : 4. What is the present age of Saransh ?

24 years

32 years

34 years

38 years

Ans.- D
Let the ages of Jayant , Prem and Saransh 10 years ago be 2x , 3x and 4x years respectively.
Then , (2x + 10 ) + ( 3x + 10 ) + (4x + 10 ) = 93
x =7
Saransh's present age= ( 4x + 10 ) = 38 years

Q8)-The ratio of the present ages of two brothers is 1 : 2 and 5 years back , the ratio was 1 : 3. What will be the ratio of their ages after 5 years ?

1 : 4

2 : 3

3 : 5

5 : 6

Ans.- C
Let the present ages of the two brothers be x years and 2x years respetively.
Then , (x - 5) / (2x - 5) = 1/3
x = 10
Required ratio = ( x + 5 ) : (2x +5 ) = 3 : 5

Q9)-Hitiesh is 40 years old and Ronnie is 60 years old. How many years ago was the ratio 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
x = 10

Q10)-The ratio of the father's age to his son's age is 7 : 3. The product of their ages is 756. The ratio of their ages after 6 years will be

5 : 2

2 : 1

11 : 7

13 : 9

Ans.- B
Let the present ages of father and son be 7x and 3x years respectively.
Then , 7x X 3x = 756
x = 6
Required ratio = (7x + 6) : (3x + 6) = 48 : 24
2 : 1