A) \[2\]
B) \[4\]
C) \[16\]
D) \[{{(136)}^{1/3}}\]
Correct Answer: B
Solution :
\[\sqrt{1-\frac{{{x}^{3}}}{100}}=\frac{3}{5}\] Squaring both sides, \[1-\frac{{{x}^{3}}}{100}=\frac{9}{25}\] \[\Rightarrow \] \[\frac{{{x}^{3}}}{100}=1-\frac{9}{25}=\frac{25-9}{25}=\frac{16}{25}\] \[\Rightarrow \] \[{{x}^{3}}=\frac{16}{25}\times 100=64\] \[\therefore \] \[x=\sqrt[3]{64}\] \[=\sqrt[3]{4\times 4\times 4}=4\]
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