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

- 7 and 8
- 8 and 0
- 5 and 8
- None of this

For such questions, if options are available just put the options and check.

Assume that's not your question, you want to know the method to solve it.

For divisiblity check of 8 is we divide last 3 numbers with 8.

So, 96B/8

for perfectly divisible B must be either 0 or 8.

Now, divisiblity check of 9 is to add all the numbers and check if it is divisible by 9 or not.

7 + 7 + 4 + 9 + 5 + 8 + A + 9 + 6 + B = 55 + A + B

lets take B = 0

55 + A + 0 = 55 + A

for the number divisible by both 9 and 8, A must be 8

We got (A, B) as (8, 0)

For case 2:

take B = 8

55 + A + 8 = 63 + A

for the number divisible by both 9 and 8, A must be 0, 9

We got (A, B) as (0, 8), (9, 8)

We have total 3 solutions for the answer (8, 0), (0, 8), (9, 8)

only 1 satisfy i.e. A=8 and B=0

So, option 2.