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Integer Question Is answer E

Problem Solving — algebra and arithmetic (GMAT Focus Edition)
Expert replies
Source: — Quantitative Reasoning |

by Brent@GMATPrepNow » Sat Jul 13, 2013 9:08 pm
[email protected] wrote:If n is an integer, is n even?

(1) n is NOT an odd integer.

(2) n + 4 is an even integer
Target question: Is n even?

Given: n is an integer

Statement 1: n is NOT an odd integer
We're told that n is an integer.
EVERY integer is either odd or even.
So, if n is NOT an odd integer, then n must be an even integer.
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: n + 4 is an even integer
We know that EVEN + EVEN = EVEN
So, it must be the case that n is an even integer.
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer = D

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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