Quantitative Aptitude Ques 860

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

Options:

A) 1

B) 2

C) 3

D) 4

Show Answer

Answer:

Correct Answer: B

Solution:

  • $ x=\sqrt{\frac{{{(0.75)}^{3}}}{(1-0.75)}+[0.75+{{(0.75)}^{2}}+1]} $ $ =\sqrt{\frac{{{(0.75)}^{3}}}{(0.25)}+[1.75+0.5625]} $ $ =\sqrt{\frac{{{(0.75)}^{3}}+(0.25)[2.3125]}{(0.25)}} $ $ =\sqrt{\frac{{{(0.75)}^{3}}+0.578125}{0.25}}=\sqrt{\frac{100}{25}}=\sqrt{4}=2 $
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