Quantitative Aptitude Ques 2164

Question: Find the square root of $ \frac{{{(0.75)}^{3}}}{1-0.75}+[0.75+{{(0.75)}^{2}}+1] $ is

Options:

A) 1

B) 3

C) 2

D) 4

Show Answer

Answer:

Correct Answer: C

Solution:

  • $ \sqrt{\frac{{{(0.75)}^{3}}}{(1-0.75)}+[0.75+{{(0.75)}^{2}}+1]} $ $ =\sqrt{\frac{{{(0.75)}^{3}}+(1-0.75)[{{(1)}^{2}}+{{(0.75)}^{2}}+1\times 0.75]}{1-0.75}} $ $ =\sqrt{\frac{{{(0.75)}^{3}}+[{{(1)}^{3}}-{{(0.75)}^{3}}}{1-0.75}} $ $ =\sqrt{\frac{1}{0.25}}=\sqrt{\frac{100}{25}}=\sqrt{4}=2 $
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