For a given number to be divisible by 8, the number formed by last three digits of the given number should be divisible by 8.
Here the number formed by the last three digits, that is, 6*2 will be divisible when * is replaced by 3, that is, 632 will be divisible by 8.
So, the smallest approppriate integer that can fill the * in 91876*2 so that it is divisible by 8 will be 3.
Hence, option (D) is correct.
[1 mark]