Problems on Ages Quiz Set 007

Question 1

My present age is 432 times the reciprocal of my age 6 years back. What is my present age?

A

24 years.

B

25 years.

C

23 years.

D

26 years.

Soln.
Ans: a

Let the present age be x. Then \$x = 432/{x - 6}\$. At this stage a better option is that you try putting the given answers into this expression one by one. The other option is to simplify this expression into a quadratic equation \$x × (x - 6)\$ = 432. This can now be solved to give x = 24 years.

Question 2

The ages of three friends are in the ratio 11:5:13. What is the age of the youngest friend if the sum of their ages is 116 years?

A

20 years.

B

21 years.

C

19 years.

D

22 years.

Soln.
Ans: a

Let the ages of three friends be 11r, 5r and 13r. The youngest of these is 5r. We have been given their sum. So (11 + 5 + 13)r = 116. Solving, we get r = 4. The youngest is 5 × 4 = 20 years.

Question 3

P is 13 years older than Q, and Q's age is 6 times the age of R. If the sum of their ages today is 117, then what is the age of Q?

A

48 years.

B

49 years.

C

47 years.

D

50 years.

Soln.
Ans: a

Let the age of R be x. Then the age of Q is 6x, and that of P is 6x + 13. Adding the three ages, (6x + 13) + 6x + x = 117. Solving, we get x = 8. So the age of Q is 6x = 48 years.

Question 4

The sum of reciprocals of my ages 6 years back and 6 years later is \${16/247}\$. What is my present age?

A

32 years.

B

33 years.

C

31 years.

D

34 years.

Soln.
Ans: a

Let the present age be x. Then \$1/{x + 6} + 1/{x - 6}\$ = \${16/247}\$. At this stage a better option is that you try putting the given answers into this expression one by one. The other option is to simplify this expression into a quadratic equation \${2x}/{x^2 - 36}\$ = \${16/247}\$. This can now be solved to give x = 32 years.

Question 5

P is 13 years older than Q, and Q's age is 7 times the age of R. If the sum of their ages today is 88, then what is the age of Q?

A

35 years.

B

36 years.

C

34 years.

D

37 years.

Soln.
Ans: a

Let the age of R be x. Then the age of Q is 7x, and that of P is 7x + 13. Adding the three ages, (7x + 13) + 7x + x = 88. Solving, we get x = 5. So the age of Q is 7x = 35 years. This Blog Post/Article "Problems on Ages Quiz Set 007" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2019-08-18.