SSC CPO 2022 PYQ — Question 110

SSC CPO - 11 Nov 2022 - Shift 2 • Quantitative Aptitude • Q110

If a + 1a1 \over a = P2, then find a2 + 1a21 \over a^2

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. P4 - 2.

a + 1/a = P2 ...(1

(a + b)2 = a2 + b2 + 2ab

Squaring both sides of the equation -

a2 + 1/a2 + 2a(1/a) = P4

a2 + 1/a2 = P4 - 2