Question

If the number 91876*2 is completely divisible by 8, find the smallest appropriate integer that can fill the *.

Answer 1

For the number to be divisible by 8, its last three digits should by divisible by 8 i.e. 6*2 should be divisible by 8.
Let's solve by trial and error method:
* = 1
612 is not divisible by 8.
* = 2
622 is not divisible by 8.
* = 3
632 is divisible by 8. (632 / 8 = 79)

So * = 3 and the number is 9187632.