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 $