Quantitative Aptitude Ques 2248

Question: The value of $ \frac{1}{{{(216)}^{-2/3}}}+\frac{1}{{{(256)}^{-3/4}}}+\frac{1}{{{(32)}^{-1/5}}} $ is

Options:

A) 102

B) 105

C) 107

D) 109

Show Answer

Answer:

Correct Answer: A

Solution:

  • $ \frac{1}{{{(216)}^{-2/3}}}+\frac{1}{{{(256)}^{-3/4}}}+\frac{1}{{{(32)}^{-1/5}}} $

$ \Rightarrow $ $ \frac{1}{{{(6)}^{3\times -\frac{2}{3}}}}+\frac{1}{{{(4)}^{4\times -\frac{3}{4}}}}+\frac{1}{{{(2)}^{5\times -\frac{1}{5}}}} $ $ \frac{1}{{{(6)}^{-2}}}+\frac{1}{{{(4)}^{-3}}}+\frac{1}{{{(2)}^{-1}}} $

$ \Rightarrow $ $ 36+64+2=102 $

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