Exams › SSC CGL (Prelims) › General

If p + q = 36, evaluate (p - 27)^3 + (q - 9)^3.

1. 1
2. 81
3. 2q
4. 0

Correct answer: 0

Solution

Let a = p-27 and b = q-9. Then a+b = (p-27)+(q-9) = (p+q)-36 = 36-36 = 0. Since b = -a, a^3+b^3 = a^3+(-a)^3 = a^3-a^3 = 0.

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