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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
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Solution(By Apex Team)

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