Question

If $9*523$ is exactly divisible by $3$, then * is

• A. $0$
• B. $2$
• C. $3$
• D. $1$

Answer 1

The correct option is B

$2$

We know that, if the sum of the digits of the number is divisible by $3$, then the number is divisible by $3$.

Here, if $9*523$ is divisible by $3$, it means it sum is also divisible by $3$.

So, $9+*+5+2+3=19+*$

So, here * can be replaced by $2$, such that $19+2=21$ which is divisible by $3$.

So the number will be $92523$.

Hence, option B is correct.