1. is insufficient, since if 8k is divisible by 16, this means that 8k = 16d (where d = quotient when you divide 8k by 16). This means that k = 2d, which means that k is even. However, we cannot tell if it is divisible by 4. If d is odd, then it sure isn't.

2. is sufficient, since if 9k is divisible by 12, this means that 9k = 12d (again, d = quotient). Since 9 is not divisible by 4 but it is divisible by 3, this means that k must be divisible by 12/3 = 4.
So k is divisible by 4.

Answer B.

THank you very much Dana....wonderful explanation here

Stmt I

k=2 NO
k=4 YES

insuff

Stmt II

9k/12 = a (where a is some integer)

3k/4 = a

3 is not divisible by 4 so k must be divisible by 4 for 3k/4 to be an INTEGER

SUFF

Choose A

Regards,
CR