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If A and B are positive integers, is the product AB even?

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Source: — Data Sufficiency |

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by Jay@ManhattanReview » Tue Apr 23, 2019 12:50 am
swerve wrote:If A and B are positive integers, is the product AB even?

1) The sum A + B is odd.
2) A is even.

The OA is D

Source: Official Guide
For AB to be even, at least one between A and B must be even. AB would be odd only if both A and B are odd.

Let's take each statement one by one.

1) The sum A + B is odd.

Since A + B is odd, one between A and B is even and the other is odd. Thus, AB is even, Sufficient.

2) A is even.

Since A is even, we have at least one between A and B is even. Sufficient.

The correct answer: D

Hope this helps!

-Jay
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