SSC CGL 2022 PYQ — Question 17

SSC CGL Tier II - Quant - 29 Jan 2022 • Quantitative Aptitude • Q17

If a + b = 8, ab = 10, then the value of a3 + b3 is:

Show answer & explanation

Correct answer: C

Explanation

 The correct answer is option 3 i.e. 272

a + b = 8,

We know that, (a + b)3 = a3 + b3 + 3ab(a + b)

on cubing both side we get,

(a + b)3 = 83

a3 + b3 + 3ab(a + b) = 512

a3 + b3 = 512 - 240 

a3 + b3 = 272