Problems on Ages Quiz Set 011 | Maths Aptitude Mock Test on Problems of Ages Set 11 | mock tests for Bank PO, SSB/SSC Exams, SO Clerical Exam, GATE Exam, LIC AO, GIC AO, etc.

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Question 1

My present age is 1443 times the reciprocal of my age 2 years back. What is my present age?

39 years.

40 years.

38 years.

41 years.

Soln.
Ans: a

Let the present age be x. Then $x = 1443/{x - 2}$. 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 $x × (x - 2)$ = 1443. This can now be solved to give x = 39 years.

Solution | Discuss! | Chapters»

Question 2

My father was 20 years old when I was born. My mother's age was 19 when my sister, who is 5 years younger to me, was born. What is the difference between the ages of my parents?

6 years.

7 years.

5 years.

8 years.

Soln.
Ans: a

If the age of my father is F, then my age is F - 20, so my younger sister's age is (F - 20) - 5, which is = F - 25. If my mother's age is M, then M = (my sister's age) + 19, i.e., M = (F - 25) + 19. We get F - M = 6 years.

This question can be solved directly also. The age of my father at the time of birth of my sister was 20 + 5 = 25. At the time my mother was 19 years. So the difference between their ages = 25 - 19 = 6 years.

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Question 3

My present age is 1330 times the reciprocal of my age 3 years back. What is my present age?

38 years.

39 years.

37 years.

40 years.

Soln.
Ans: a

Let the present age be x. Then $x = 1330/{x - 3}$. 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 $x × (x - 3)$ = 1330. This can now be solved to give x = 38 years.

Solution | Discuss! | Chapters»

Question 4

Mr. X became a voter at the age of 18. He got married at the age of 20. What was his average age during these two points of his life?

19 years.

20 years.

18 years.

2 years.

Soln.
Ans: a

The average is simply ${18 + 20}/2$ = 19 years.

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Question 5

5 years back the ratio of ages of X and Y was $1{2/11}$. The ratio of their ages 5 years from now would be $1{1/8}$. What is the present age of X?

31 years.

32 years.

30 years.

33 years.

Soln.
Ans: a

Let their present ages be x and y. Then ${x - 5}/{y - 5} = $ ${13/11}$, which is same as: $1{2/11}$. Similarly, ${x + 5}/{y + 5} = $ ${9/8}$, which is same as: $1{1/8}$. Solving these equations for x and y, we get y = 27, and x = 31 years as the answer.

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