BTGmoderatorDC wrote:If x and y are integers, is x + y even?
(1) x + 2y is odd.
(2) xy is odd.
OA B
Source: GMAT Prep
(x + y) even is even if any one of the two conditions are met: 1. Both x and y are odd, or 2. Both x and y are even.
Let's take each statement one by one.
(1) x + 2y is odd.
1. Since 2y is odd irrespective of whether y is even and odd, we can't get wether y is even or odd. (x + 2y) is odd shows that x is odd. Since we do not know whether y is even or odd, we can't get the answer. Insufficient.
(2) xy is odd.
=> x as well as y is odd. Thus, (x + y) = even. Sufficient.
The correct answer:
B
Hope this helps!
-Jay
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