SSC CGL 2025 PYQ — Question 52

The correct answer is option 1 i.e. 119.

x − $\frac{1}{x}$ = 3

Square:

⇒ (x − $\frac{1}{x}$)² = 9

⇒ x² + $\frac{1}{x^2}$ − 2 = 9

⇒ x² + $\frac{1}{x^2}$  = 11

Square again:

⇒ (x² + $\frac{1}{x^2}$)² = 121

⇒ x⁴ + $\frac{1}{x^4}$ + 2 = 121

⇒ x⁴ + $\frac{1}{x^4}$  = 119