Question

For what possible values of $x$, the number $36x$ i.e. $3\times 100+6\times 10+x$ is divisible by $3$ ?

Answer 1

The number is $36x$.

For the number to be divisible by $3$, the sum of digits i.e. $(3+6+x)$ must be divisible by $3.$

Hence, $x=0,3,6,9$