SSC CGL 2022 PYQ — Question 56

SSC CGL - 01 Dec 2022 - Shift 3 • Quantitative Aptitude • Q56

If x + y = 36, then find (x − 27)3 + (y − 9)3.

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 0

Given:

x + y = 36

Concept used:

If (a + b) = 0 then a3 + b3 = 0

Calculation:

x + y = 36

x - 27 = 9 - y

⇒ (x - 27) + (y - 9) = 0

{(x - 27) + (y - 9)}3 = 03 (Taking cube on both sides)

⇒ (x - 27)3 + (y - 9)3 = 0 (According to the concept)

So, the required value is 0.