SSC CGL 2020 PYQ — Question 51

SSC CGL - 7th March 2020 Shift 1 • Quantitative Aptitude • Q51

The coefficient of y in the expansion of (2y - 5)3 , is:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 150.

Understanding/Application

(2y - 5)3

(a - b)3 = a3 - b3 - 3a2b + 3ab2

(2y - 5)3 = (2y)3 - 53 - 3(5)(2y)2 + 3(2y)52

= 8y3 - 125 - 60y2 + 150y

Thus, the coefficient of y = 150