SSC CPO 2022 PYQ — Question 128

SSC CPO - 10 Nov 2022 - Shift 2 • Quantitative Aptitude • Q128

if x + 1x\frac{1}{x} = 2, then the value of x4 +  1x4\frac{1}{x4}

Show answer & explanation

Correct answer: B

Explanation

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

 If x + 1x\frac{1}{x} = 2

Square on both sides

⇒ x2 + (1/x)2 = 4 - 2 = 2

⇒  x4 +  1x4\frac{1}{x4} = 4 - 2 = 2