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 $