BTGmoderatorDC wrote:Is the positive integer p a multiple of 50?
(1) p is a multiple of 10
(2) p is a multiple of 5
Any integer that is a multiple 10 is also a multiple of 5.
Implication:
Any integer that satisfies Statement 1 will also satisfy Statement 2.
Both statements are satisfied by the following cases:
Case 1: p=10, which is a multiple of 10 (and thus is also a multiple of 5)
In this case, p is NOT a multiple of 50.
Case 2: p=50, which is a multiple of 10 (and thus is also a multiple of 5)
In this case, p IS a multiple of 50.
Since the answer to the question stem is NO in Case 1 but YES in Case 2, the two statements combined are INSUFFICIENT.
The correct answer is
E.
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