Question

What is the value of $X$, if the value of ${33333}^2$ is $11110XXXX9$.

• A. 8

Answer 1

The correct option is A 8
The square of the number $33333$ can easily be found by the method as described here.

Suppose the number contains $n$ '3's. The digits of its square will be $(n-1)$ '$1$'s followed by '$0$', $(n-1)$ '$8$'s and '$9$'.

In this case, the value of ${33333}^2$ is $1111088889$. Hence, the value of $X$ is $8$.