The average of a non-zero number and its square is 5 times the number. The number is-

A. 9

B. 17

C. 29

D. 295

Answer: Option A

Solution(By Examveda Team)

Let the number be x
Then,
$$\eqalign{ & \Rightarrow \frac{{x + {x^2}}}{2} = 5x \cr & \Rightarrow {x^2} - 9x = 0 \cr & \Rightarrow x\left( {x - 9} \right) = 0 \cr & \Rightarrow x = 0{\text{ or }}x = 9 \cr} $$
So, the number is 9