Quantitative Aptitude Ques 1801

Question: $ {{(5568\div 87)}^{\frac{1}{3}}}+{{(72\times 2)}^{\frac{1}{2}}}={{(?)}^{\frac{1}{2}}} $ [IDBI (SO) 2012]

Options:

A) $ 256 $

B) $ 4 $

C) $ \sqrt{2} $

D) $ 16 $

E) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

  • Given, $ {{(5568\div 87)}^{\frac{1}{3}}}+{{(72\times 2)}^{\frac{1}{2}}}={{(?)}^{\frac{1}{2}}} $

$ \Rightarrow $ $ {{(64)}^{\frac{1}{3}}}+{{(144)}^{\frac{1}{2}}}={{(?)}^{\frac{1}{2}}} $
$ \Rightarrow $ $ {{(4)}^{3\times \frac{1}{3}}}+{{(12)}^{2\times \frac{1}{2}}}={{(?)}^{\frac{1}{2}}} $

$ \Rightarrow $ $ (4)+(12)={{(?)}^{\frac{1}{2}}} $
$ \Rightarrow $ $ (16)={{(?)}^{\frac{1}{2}}} $

$ \Rightarrow $ $ {{(16)}^{2}}={{(?)}^{\frac{1}{2}\times 2}}=?=256 $