Bunuel wrote:
If positive integer P is a multiple of 22 and positive integer Q is a multiple of 55, is PQ a multiple of 70?
(1) Q is a multiple of 49
(2) P is a multiple of4
Question StemAnalysis:
We need to determine whether PQ is a multiple of 70 = 2 * 5 * 7. We are told that P is a multiple of 22, which means PQ contains a factor of 2. We are also told that Q is a multiple of 55, which means PQ contains a factor of 5. If we can determine that PQ also contains a factor of 7, we can conclude that PQ is a multiple of70.
Statement OneAlone:
\(\Rightarrow\) Q is a multiple of 49
Thus, Q contains a factor of 7, which in turn means that PQ contains a factor of 7. Since PQ contains a factor of 2, 5, and 7, PQ is a multiple of 70. Statement one alone is sufficient.
Eliminate answer choices B, C, andE.
Statement TwoAlone:
\(\Rightarrow\) P is a multiple of 4
While we know that P is a multiple of 4, we cannot determine
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Statistics : Posted by ScottTargetTestPrep • on 06 Jul 2020, 02:51 • Replies 7 • Views 5567
