Instructions: Each question consists of a problem followed by two statements. Decide whether the data in the statements are sufficient to answer the question. 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

Explanation: (1) xyz is divisible by 22 and 33. Given that xyz is a multiple of \(22=2\times11\) and \(33=3\times11\), thus xyz is a multiple of \(2\times3\times11=66\). Now, if \(x=1\) and \(yz=66\), the answer is NO but if \(x=11\) and \(yz=66\), the answer is YES. Not sufficient. (2) yz is divisible by 72. Nothing about x. Not sufficient. (1)+(2) Still insufficient, for example if \(x=1\) and \(yz=66\times72\), the answer is NO but if \(x=11\) and \(yz=66\times72\), the answer is YES. Not sufficient.