Quantitative Aptitude Ques 1991

Question: The value of $ \frac{{{(625)}^{6.25}}\times {{(25)}^{2.6}}}{{{(625)}^{6.75}}\times {{(5)}^{1.2}}} $ is

Options:

A) 25

B) 30

C) 32

D) 33

Show Answer

Answer:

Correct Answer: A

Solution:

  • $ \frac{{{(625)}^{6.25}}\times {{(25)}^{2.6}}}{{{(625)}^{6.75}}\times {{(5)}^{1.2}}} $ $ =[{{(625)}^{6.25}}\div {{(625)}^{6.75}}]\times {{(5^{2})}^{2.6}}\div {{(5)}^{1.2}}] $ $ =[{{(625)}^{6.25-6.75}}\times {{(5)}^{5.2-1.2}} $ $ ={{(625)}^{-0.50}}\times {{(5)}^{4}} $ $ ={{(5^{4})}^{-0.5}}\times 5^{4} $ $ ={5^{-2}}\times 5^{4}=5^{2}=25 $