Question
Evaluate \(23^{3} + (-14)^{3} + (-9)^{3}\)
This question was previously asked in
RRB NTPC 2025 Graduate CBT 2 Question Paper PDF (10-Jul-2026) (Shift 1)
The correct answer is
8694
Let \(a = 23\), \(b = -14\), \(c = -9\).
Check their sum: \(a + b + c = 23 - 14 - 9 = 0\).
When \(a + b + c = 0\), the identity \(a^{3} + b^{3} + c^{3} = 3abc\) holds.
\(3abc = 3 \times 23 \times (-14) \times (-9) = 3 \times 23 \times 126 = 8694\).
Hence, the value is 8694.
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