SSC CHSL 2022 PYQ — Question 51

SSC CHSL - 26 May 2022 - Shift 2 • Quantitative Aptitude • Q51

The difference between a number and the square root of the number is 2. The number is: 

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 4 

Explanation :

Let the required number be x.

Now, according to the given question,

⇒ x - x\sqrt{x} = 2

Squaring both the sides,

⇒ (x - x\sqrt{x} )2 = 4

⇒ x2 + x - 2xx\sqrt{x} = 4

Now putting the values of x from the options,

x = 4 L.H.S. of above equation

⇒ 42 + 4 - 16 = 4 = R.H.S.

Hence the required number is 4.