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SSC CGL 2022 PYQ — Question 54

SSC CGL - 11 April 2022 - Shift 1 • Quantitative Aptitude • Q54

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If x + y + 3 = 0, then find the value of x3 + y3 - 9xy + 9.

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Correct answer: B

Explanation

The correct answer is option 2 i.e. -18

x + y + 3 = 0

x + y = -3

Cube on both sides:

⇒ x3 + y3 + 3xy(x + y) = -27

⇒ x3 + y3 + 3xy(-3) = -27

⇒ x3 + y3 - 9xy = -27

⇒ x3 + y3 - 9xy + 9 = -18