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SSC CGL 2022 PYQ — Question 63

SSC CGL - 01 Dec 2022 - Shift 4 • Quantitative Aptitude • Q63

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If p + q = 6 and pq = 4, then what is the value of p3 + q3 ?

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 144

Given:

p + q = 6 and pq = 4

Formula used:

(a + b)3 = a3 + b3 + 3ab(a + b)

Calculation:

Using the above formula, we get

⇒ (p + q)3 = p3 + q3 + 3pq(p + q)

⇒ (6)3 = p3 + q3 + 3(4)(6)

⇒ p3 + q3 = 216 - 72

⇒ p3 + q3 = 144