SSC CHSL 2019 PYQ — Question 99

SSC CHSL - 2nd July 2019 - Shift 2 • Reasoning • Q99

Gopal’s current age is the cube of a number. It was the square of a number two years ago. What is his current age?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 27

Understanding Application

Let Gopal's current age be x

ATQ,

x should be the cube of a number and (x - 2) should be the square of a number.

Let us consider all the given options:

1. 9 is not the cube of any number.

2. 27 is the cube of 3 and (27 - 2), i.e. 25 is the square of 5.

3. 64 is the cube of 4 and (64 - 2), i.e. 62 is not the square of any number.

4. 62 is not the cube of any number.

Hence, Gopal's current age is 27 years.