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 $