Quantitative Aptitude Ques 1468

Question: If $ {{(1101)}^{2}}=1212201, $ find the value of $ \sqrt{121.2201} $

Options:

A) 110.1

B) 11.01

C) 1.101

D) 11.001

Show Answer

Answer:

Correct Answer: B

Solution:

  • In this kind of question, first we convert the decimal number into decimal fraction. Given, $ {{(1101)}^{2}}=1212201 $ Now, $ \sqrt{121.2201}=\sqrt{\frac{1212201}{10000}} $ We know that, $ \sqrt{10000}=100, $ So, $ \frac{1}{100}\sqrt{1212201}=\frac{1101}{100}=11.01 $ [ $ \because $ given, $ 1101=\sqrt{1212201} $
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