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

Answer: Option A

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