Problems on Ages Quiz Set 010 | Maths Aptitude Mock Test on Problems of Ages Set 10 | mock tests for Bank PO, SSB/SSC Exams, SO Clerical Exam, GATE Exam, LIC AO, GIC AO, etc.

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Question 1

Mr. X became a voter at the age of 18. He got married at the age of 24. What was his average age during these two points of his life?

21 years.

22 years.

20 years.

6 years.

Soln.
Ans: a

The average is simply ${18 + 24}/2$ = 21 years.

Solution | Discuss! | Chapters»

Question 2

The sum of ages of two friends is 20, whereas the product of their ages is 91. What is the sum of squares of their ages?

218 years.

219 years.

217 years.

220 years.

Soln.
Ans: a

Let the ages be x and y. We are given x + y = 20, and xy = 91. Substituting in the identity $x^2 + y^2 = (x + y)^2 - 2 × xy$, we get $x^2 + y^2 = 20^2 - 2 × 91$ = 218.

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Question 3

P is 10 years older than Q, and Q's age is 4 times the age of R. If the sum of their ages today is 46, then what is the age of Q?

16 years.

17 years.

15 years.

18 years.

Soln.
Ans: a

Let the age of R be x. Then the age of Q is 4x, and that of P is 4x + 10. Adding the three ages, (4x + 10) + 4x + x = 46. Solving, we get x = 4. So the age of Q is 4x = 16 years.

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Question 4

The ratio of ages of P and Q today is ${1/2}$. After 4 years, their ages will be in the ratio ${7/10}$. What is the age of P today?

3 years.

4 years.

2 years.

5 years.

Soln.
Ans: a

Let the ages of P and Q be 1x and 2x. After 4 years the ratio would be ${1x + 4}/{2x + 4}$ = ${7/10}$. Solving, we get x = 3. So age of P = 1 × 3 = 3.

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Question 5

The sum of reciprocals of my ages 2 years back and 2 years later is ${70/1221}$. What is my present age?

35 years.

36 years.

34 years.

37 years.

Soln.
Ans: a

Let the present age be x. Then $1/{x + 2} + 1/{x - 2}$ = ${70/1221}$. 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 ${2x}/{x^2 - 4}$ = ${70/1221}$. This can now be solved to give x = 35 years.

Solution | Discuss! | Chapters»