| \[\sqrt[3]{1-\frac{127}{343}}\]is equal to [SSC (CGL) 2011] |
A) \[\frac{5}{9}\]
B) \[1-\frac{1}{7}\]
C) \[\frac{4}{7}\]
D) \[1-\frac{2}{7}\]
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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