SarkariPYQ

SSC CGL 2025 PYQ — Question 55

SSC CGL - 18 Sep 2025 - Shift 2 • Quantitative Aptitude • Q55

Back to paper

Given x+1x=4\sqrt x+\frac{1}{\sqrt x}=4, then what is x+1xx + {1\over x}?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 14.

x+1x=4\sqrt x+\frac{1}{\sqrt x}=4

⇒ (x+1x)2=42=16\left(\sqrt x+\frac{1}{\sqrt x}\right)^2=4^2=16

⇒ x + 2 + 1/x = 16

⇒ x + 1/x = 16 - 2 = 14