Quantitative Aptitude Ques 1251

Question: If $ \sqrt{4096}=64, $ then value of $ \sqrt{40.96}+\sqrt{0.4096}+\sqrt{0.004096}+\sqrt{0.00004096} $ is

Options:

A) 7.09

B) 7.1014

C) 7.1104

D) 7.12

Show Answer

Answer:

Correct Answer: C

Solution:

  • In this kind of question, first we convert the decimal number in decimal fraction. Given, $ \sqrt{4096}=64 $ Now, $ \sqrt{40.96}+\sqrt{04096}+\sqrt{0.004096}+\sqrt{0.00004096} $ $ =\sqrt{\frac{4096}{100}}+\sqrt{\frac{4096}{10000}}+\sqrt{\frac{4096}{1000000}}+\sqrt{\frac{4096}{100000000}} $
    $ \Rightarrow $ $ \frac{64}{10}+\frac{64}{100}+\frac{64}{1000}+\frac{64}{10000} $ $ =6.4+0.64+0.064+0.0064 $ $ =7.1104 $
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