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SSC CGL 2022 PYQ — Question 96

SSC CGL Tier II - Quant - 29 Jan 2022 • Quantitative Aptitude • Q96

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If 2x - y = 2 and xy = 32\frac{3}{2}, then what is the value of x3 - y3/8?

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Correct answer: B

Explanation

The correct answer is option 2 i.e. 134\frac{13}{4}

2x - y = 2

On dividing by 2 we get,

⇒ x - y/2 = 1

cubing on both sides, we get,

⇒ x3 - y3/8 - (3xy/2)(x - y/2) = 13

⇒ x3 - y3/8 - 3/2 × 3/2 × 1 = 1

⇒ x3 - y3/8 - 9/4 = 1

⇒ x3 - y3/8 = 13/4.