Question

Find the value of $x$ such that $32x4$ is exactly divisible by $6$?

• A. $1$
• B. $0$
• C. $5$
• D. $4$

Answer 1

The correct option is B $0$

We know the divisibility rule for $6$:
If the number is exactly divisible by both $2$ and $3$, then the given number is also divisible by $6$.

For a number to be divisible $2$, it should end with an even digit. As $32x4$ ends with $4$, it is divisible by $2$
Here, $3+2+4=9$
So, $0$ is added to $9+0=9$.
Hence, $3204$ is divisible by $6$, because the last digit ends with even no. and the number is multiple of $3$.
So, option B is correct.