Exams › SSC CGL (Prelims) › General

$21^3 + 22^3 - 43^3 + 150$ is equal to:

1. – 59448
2. – 60000
3. 0
4. 1

Correct answer: – 59448

Solution

Using $21^3+22^3=(21+22)^3-3\cdot21\cdot22\cdot(21+22)$, we get $43^3-3\cdot21\cdot22\cdot43$. Substituting in the expression cancels the $43^3$ terms, leaving a negative value. The result is $-59448$.

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