SSC CPO 2019 PYQ — Question 118

SSC CPO Tier I - 12th December 2019 - Shift 2 • Quantitative Aptitude • Q118

If a - b = 5 and a2 + b2 = 45, then the value of ab is:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 10

Understanding Application

Given:

a - b = 5

And

a2 + b2 = 45

We know:

(a - b)2 = a2 + b2 - 2ab

So,

52 = 45 - 2ab

2ab = 45 - 25

2ab = 20

ab = 10