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If x and y are positive integers, is x even?

Expert replies
Source: — Data Sufficiency |

BTGmoderatorDC wrote:
Tue May 26, 2020 7:08 pm
If x and y are positive integers, is x even?

(1) xy is even

(2) x + y is even

OA C

Source: Magoosh
Let's take each statement one by one.

(1) xy is even.

For xy to be even, at least one between x and y must be even. So x can be odd or even. Insufficient.

(2) x + y is even.

For x + y to be even, either both x and y are even or both x and y are odd. Insufficient.

(1) and (2) together

The only condition is both x and y must be even. Sufficient.

The correct answer: C

Hope this helps!

-Jay
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