For the original question, statement (i) is sufficient and was not that hard to conclude so. For statement (ii), plugged in numbers (2^3 is not divisible by 12 but 6^3 is divisible by 12) and was relatively straight forward that (ii) is insufficient.
The revised question posted by Bunuel made it a test of the divisibility. Surely made it different.
My attempt to capture my B-School Journey in a Blog : tranquilnomadgmat.blogspot.com
There are no shortcuts to any place worth going.