Question

If a number $774958A96B$ is to be divisible by 8 and 9, the respective values of $A$ and $B$ will be:

Accepted Answer

B. Sum of digits except $A, B = 55$. Next multiples of 9 are 63, 72. So $A + B = 8$ or $17$. For divisibility by 8, $96B$ must be divisible by 8, so $B = 0$ or $8$. If $B=0$, $A=8$. If $B=8$, $A=0$. Thus $A=8, B=0$ is valid.

Divisibility Rules for 8 and 9

Explanation

Practise this under exam conditions