Quantitative Aptitude Ques 1580

Question: $ \sqrt[3]{1-\frac{127}{343}} $ is equal to

Options:

A) $ \frac{5}{9} $

B) $ 1-\frac{1}{7} $

C) $ \frac{4}{7} $

D) $ 1-\frac{2}{7} $

Show Answer

Answer:

Correct Answer: B

Solution:

  • Expression $ =\sqrt[3]{1-\frac{127}{343}}=\sqrt[3]{\frac{343-127}{343}}=\sqrt[3]{\frac{216}{343}} $ $ =\sqrt[3]{\frac{6\times 6\times 6}{7\times 7\times 7}}=\frac{6}{7}=1-\frac{1}{7} $
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