Quantitative Aptitude Ques 675
Question: The value of $ \sqrt{\frac{{{(0.03)}^{2}}+{{(0.21)}^{2}}+{{(0.065)}^{2}}}{{{(0.003)}^{2}}+{{(0.021)}^{2}}+{{(0.0065)}^{2}}}} $ is
Options:
A) 0.1
B) 10
C) $ 10^{2} $
D) $ 10^{3} $
Show Answer
Answer:
Correct Answer: B
Solution:
- $ \sqrt{\frac{{{(0.3)}^{2}}+{{(0.21)}^{2}}+{{(0.065)}^{2}}}{\frac{{{(0.03)}^{2}}}{10^{2}}+\frac{{{(0.21)}^{2}}}{10^{2}}+\frac{{{(0.065)}^{2}}}{10^{2}}}} $
$ =\sqrt{100\times \frac{[{{(0.03)}^{2}}+{{(0.21)}^{2}}+{{(0.065)}^{2}}]}{[{{(0.03)}^{2}}+{{(0.21)}^{2}}+{{(0.065)}^{2}}]}}=\sqrt{100}=10 $