SSC CGL 2025 PYQ — Question 75

SSC CGL - 19 Sep 2025 - Shift 2 • Quantitative Aptitude • Q75

If a+b=5\sqrt a+\sqrt b=5 and a−b=1\sqrt a-\sqrt b=1, what is the value of a and b?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. a = 9, b = 4.

√a + √b = 5 ...(1)

√a – √b = 1 ...(2)

Add (1) and (2): 2√a = 6

⇒ √a = 3

⇒ a = 9

Subtract (2) from (1): 2√b = 4

⇒ √b = 2

⇒ b = 4