If x, y and z are different integers, is x divisible by 11?
1. xyz is divisible by 22 and 33
2. yz is divisible by 72
1. xyz is divisible by 22 and 33
2. yz is divisible by 72
(1) 22 = 2 * 11 and 33 = 3 * 11. Since xyz is divisible by 22 and 33, so xyz has the factors 2, 3 and 11. But this info is NOT SUFFICIENT to answer the question.
(2) 72 = 2^3 * 3^2, so yz has the factors 2 and 3. But this info is again NOT SUFFICIENT to answer the question.
Combining (1) and (2), also we cannot say whether x is divisible by 11.
[spoiler]The correct answer is (E).[/spoiler]
