Question

If a number 774958496B is divisible by 8 and 9.
what are the respective values of A and B?
(a) (A= 8,9) and (B = 0,8,9)
(b) (A=0,9) and (B =9,8)
(c) (A=0,8,9) and (B= 0,8)
(d) (A=0,8) and (B = 0,8,9)​

Answer 1

Since 774958A96B is divisible by 8, so the number 96B must be divisible by 8.

So, B = 0, as 960 is divisible by 8.

Now, 774958A960 is divisible by 9.

So, (55 + A) must be divisible by 9.

This happens when A = 8

Hence, A = 8 and B = 0