Banking Quantitative Aptitude Sample Paper Quantitative Aptitude Sample Paper-37

If\[{{(1101)}^{2}}=1212201,\]find the value of\[\sqrt{121.2201}\]                                                            [SSC (CGL) 2012]

A) 110.1

B) 11.01

C) 1.101

D) 11.001

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, \[1101=\sqrt{1212201}\]