Quantitative Aptitude Ques 2248
Question: The value of $ \frac{1}{{{(216)}^{-2/3}}}+\frac{1}{{{(256)}^{-3/4}}}+\frac{1}{{{(32)}^{-1/5}}} $ is
Options:
A) 102
B) 105
C) 107
D) 109
Show Answer
Answer:
Correct Answer: A
Solution:
- $ \frac{1}{{{(216)}^{-2/3}}}+\frac{1}{{{(256)}^{-3/4}}}+\frac{1}{{{(32)}^{-1/5}}} $
$ \Rightarrow $ $ \frac{1}{{{(6)}^{3\times -\frac{2}{3}}}}+\frac{1}{{{(4)}^{4\times -\frac{3}{4}}}}+\frac{1}{{{(2)}^{5\times -\frac{1}{5}}}} $ $ \frac{1}{{{(6)}^{-2}}}+\frac{1}{{{(4)}^{-3}}}+\frac{1}{{{(2)}^{-1}}} $
$ \Rightarrow $ $ 36+64+2=102 $
BETA
