oquiella wrote:43. If M, N, and P are integers, is (M+N+P) even?


(1) MNP is even
(2) M+N = P

Target question: Is (M+N+P) even?

Given: M, N, and P are integers

Statement 1: MNP is even
From this information, we can conclude that AT LEAST 1 of the 3 values is EVEN.
There are several values of M, N and P that satisfy statement 1. Here are two:
Case a: M = 1, N = 1, and P = 2, M + N + P = 1 + 1 + 2 = 4, which is EVEN
Case b: M = 1, N = 2, and P = 2, M + N + P = 1 + 2 + 2 = 5, which is NOT EVEN
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: M + N = P
If M + N = P, then M + N + P = P + P = 2P which is EVEN
So, it MUST be the case that M + N + P is even
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer = B

Cheers,
Brent