Problems on Ages Quiz Set 007 | Maths Aptitude Mock Test on Problems of Ages Set 7 | 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 432 times the reciprocal of my age 6 years back. What is my present age?

24 years.

25 years.

23 years.

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.

Solution | Discuss! | Chapters»

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?

20 years.

21 years.

19 years.

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.

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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?

48 years.

49 years.

47 years.

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.

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Question 4

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

32 years.

33 years.

31 years.

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.

Solution | Discuss! | Chapters»

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?

35 years.

36 years.

34 years.

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.

Solution | Discuss! | Chapters»