SSC CGL 2023 PYQ — Question 65

SSC CGL - 20 July 2023 - Shift 2 • Quantitative Aptitude • Q65

If a : b :: b : c, and b = 96, then which of the following can be a possible pair of values of a and c?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. a = 32; c = 288.

We know that

⇒ a/b = b/c

⇒ b2 = ac

Now, according to the question;

⇒ b2 = ac

Put the value of b in the above equation

We get,

⇒ 96 × 96 = ac

According to the question, only one option satisfies the above equation where a = 32, c = 288

⇒ So, a = 32, and c = 288