The value of (1/2)3 + (1/3)3 - (5/6)3 isA) 5/6B) 5/12C) -5/36D) -5/1 – InterviewSolution

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The value of (1/2)3 + (1/3)3 - (5/6)3 isA) 5/6B) 5/12C) -5/36D) -5/12

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Correct option is (D) -5/12

\((\frac{1}{2})^3+(\frac{1}{3})^3-(\frac{5}{6})^3\) \(=\frac18+\frac1{27}-\frac{125}{216}\)

\(=\frac{27+8-125}{216}\) \(=\frac{-90}{216}\)

\(=\frac{-90\div18}{216\div18}\) = \(\frac{-5}{12}\)

Correct option is D) -5/12

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