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
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statement TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed
DUIBAমানসিক দক্ষতা(IQ)বিশ্লেষণমুলক ও সিদ্ধান্ত গ্রহণের ক্ষমতাIQ-3 (Topic Practice)DU - ⚡ অনলাইন প্রশ্নব্যাংক দেখুন 💥
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.
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