SSC CGL 2019 PYQ — Question 66

SSC CGL - 7th June 2019 - Shift 1 • Quantitative Aptitude • Q66

If x = 2 – p, then x3+ 6xp + p3 is equal to:

Show answer & explanation

Correct answer: B

Explanation

Correct Answer is option 2 i.e. 8

Concept

Understanding

Application

(x + y)3 = x3 + 3xy (x + y) + y3

Given:

x = 2 – p

 

 

x = 2 – p

(x + p) = 2

Taking cube:

⇒ x3 + 3xp (x + p) + p3 = 8

Put (x + p) = 2

⇒ x3 + 6xp + p3 = 8