SSC CGL 2024 PYQ — Question 60

SSC CGL - 19 Sep 2024 - Shift 2 • Quantitative Aptitude • Q60

The sum of the ages of 6 children born at the interval of two years each is 90 years. What is the age (in years) of the eldest child?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 20.

The sum of the ages of 6 children born at an interval of 2 years each, is 90.

Let the present age of the youngest child be Q.

Hence, the ages of other children in ascending order are (Q + 2), (Q + 4), (Q + 6), (Q + 8), (Q + 10)

So, Q + (Q + 2) + (Q + 4) + (Q + 6) + (Q + 8) + (Q + 10) = 90

⇒ 6Q + 30 = 90

⇒ Q = 60/6 = 10

⇒ Q + 10 = 10 + 10 = 20

∴ The age of the eldest child is 20 years.