SSC CHSL 2020 PYQ — Question 53

SSC CHSL - 15th October 2020 - Shift 3 • Quantitative Aptitude • Q53

If 2a + 3b = 8 and ab = 5, then find the value of 4a2 + 9b2.

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e 4.

Understanding/Application

2a + 3b = 8

Sq. both side -

(2a + 3b)2 = 82

4a2 + 9b2 + 2(2a)(3b) = 64

4a2 + 9b2 + 12(5) = 64

4a2 + 9b2 = 4