## If $$r$$ and $$s$$ are integers, is $$r^2+s$$ even?

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### If $$r$$ and $$s$$ are integers, is $$r^2+s$$ even?

by Gmat_mission » Thu Sep 24, 2020 2:52 am

00:00

A

B

C

D

E

## Global Stats

If $$r$$ and $$s$$ are integers, is $$r^2+s$$ even?

(1) The product of $$rs$$ is odd.
(2) $$r$$ is odd.

Source: GMAT Paper Tests

Junior | Next Rank: 30 Posts
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### Re: If $$r$$ and $$s$$ are integers, is $$r^2+s$$ even?

by psarma » Thu Sep 24, 2020 3:09 pm

00:00

A

B

C

D

E

## Global Stats

The product rs can be odd only when both r and s are odd.
In such a case, $$r^2$$ + s would be even, as the sq. of an odd number added to an odd number would be an even number
Thus A is sufficient
2nd option only mentions r is odd and nothing about s. Not sufficient.