When p, m, and n are integers, is p an even number?

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Source: — Data Sufficiency |

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by Jay@ManhattanReview » Wed Nov 01, 2017 8:34 pm
VJesus12 wrote:When p, m, and n are integers, is p an even number?

1) m+n=even
2) p+m=even

The OA is E.

If m is even (statement 1) then p have to be even (statement 2). Why the correct option is E? Experts, can you explain to me this DS question?
1) m+n=even

Ni information about p. Insufficient.

2) p+m=even

Both p and m can either be odd or even. No unique answer. Insufficient.

(1) and (2) combined:

From (1): m + n = even, we can deduce that both m and n can either be odd or even, and from (2): p + m = even, we can deduce that both p and n can either be odd or even. Thus, we cannot determine whether p is even or odd. Insufficient.

The correct answer: E

Hope this helps!

-Jay
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