SSC CPO 2019 PYQ — Question 109

SSC CPO Tier I - 11th December 2019 - Shift 2 • Quantitative Aptitude • Q109

If  then x2(x2 – 47) = ?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. -1

Understanding Application
Tricks

Given

squaring both sides

x + 1/x = 9 - 2

x + 1/x = 7

Now

Again squaring both sides

x2 + 1/x2 = 49 - 2

x2 + 1/x2 = 47

Hence

(x4 + 1)/x2 = 47

x2(x2  - 47) = -1