SSC CGL 2025 PYQ — Question 51

SSC CGL - 13 Sep 2025 - Shift 2 • Quantitative Aptitude • Q51

Given, x+1x=4x+\frac{1}{x}=4 , then determine the value of x2+1x2x^{2}+\frac{1}{x^{2}}

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 14.

If a + 1/a = b then a2 + 1/a2 = b2 - 2

Here, x + 1/x = 4

Then, x2 + 1/x2 = 42 - 2 = 16 - 2 = 14