Is the positive integer p a multiple of 50?
(1) p is a multiple of 10
(2) p is a multiple of 5
OA E
Source: Veritas Prep
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Is the positive integer p a multiple of 50?
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BTGmoderatorDC
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Any integer that is a multiple 10 is also a multiple of 5.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
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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Question: Is the positive integer p a multiple of 50?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
OA E
Source: Veritas Prep
Let's take each statement one by one.
(1) p is a multiple of 10.
Case 1: If p = 50, the answer is Yes.
Case 2: If p = 10, the answer is No.
No unique answer. Insufficient.
(2) p is a multiple of 5.
Case 1: If p = 50, the answer is Yes.
Case 2: If p = 10, the answer is No.
No unique answer. Insufficient.
(1) and (2) together
Both the cases discussed above are applicable here, too. Insufficient.
The correct answer: E
Hope this helps!
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