Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

The sum of the ages of 12 calves of a whale born at a gap of 8 years is 672. What is the age of the youngest calf?

**A**

12 years.

**B**

13 years.

**C**

11 years.

**D**

14 years.

**Soln.**

**Ans: a**

The ages of the calves are in an AP with d = 8, n = 12, and sum S = 672. We have to find the first term a. We know S = ${n/2} × (2a + (n-1)d)$ Putting the values 672 = ${12/2} × (2a + (12-1)×8)$. Solving, get a = 12 years.

### Question 2

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?

### Question 3

The ages of three friends are in the ratio 3:7:5. What is the age of the youngest friend if the sum of their ages 6 years back was 57 years?

**A**

15 years.

**B**

16 years.

**C**

14 years.

**D**

17 years.

**Soln.**

**Ans: a**

Let the ages of three friends be 3r, 7r and 5r. The youngest of these is 3r. We have been given their sum 6 years back. So (3 + 7 + 5)r - (3 × 6) = 57. Solving, we get r = 5. The youngest is 3 × 5 = 15 years.

### Question 4

The ratio of present ages of two monuments A and B is $3{2/5}$. If the difference of their ages is 120, then what is the age of B?

**A**

50 years.

**B**

45 years.

**C**

40 years.

**D**

55 years.

**Soln.**

**Ans: a**

The ratio of ages of A and B is given as ${17/5}$, which is same as: $3{2/5}$. So we can write the present ages of A and B, respectively, as 17r and 5r years. The difference is $17r - 5r = 120$ which gives r = 10. The age of B, therefore, is 5r = 5 × 10 = 50 years.

### Question 5

The ages of two friends are 3 and 27 years respectively. They are looking for a special third friend whose age is in-between their ages. What should be the age of the third friend if the ages of all three have to be in a GP(geometric progression)?

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This Blog Post/Article "Problems on Ages Quiz Set 012" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2020-02-07. Published on: 2016-04-23