If x + 1 over x = 2, then the value of x⁵⁷ + 1 over x⁵⁷ is :

If $x + {{1} \over x}$ = 2, then the value of $x^{57} + {{1} \over x^{57}}$ is :

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 2.

If $x + {{1} \over x}$ = 2,

Let's assume the value of x = 1

1 + 1 = 2

So, the value of $x^{57} + {{1} \over x^{57}}$ = 1 + 1 = 2

SSC CGL 2022 PYQ — Question 55