Question

Find the digits $p$ and $q$ if $p76q$ is divisible by $30$.

Answer 1

If a number, be divisible by $30$ it should be divisible by $3$ and as well as $10$

For $p76q$ to be divisible by $10$ $q$ must be $0$

so now for $p760$ to be divisible by $3$

$p+7+6+0=13+p$ must be divisible by $3$

$⟹p=2,5,8$