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If x and y are integers and x 2 + y 2 is odd, which of the following m : Multiple-choice Questions — Select One Answer Choice

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Re: If x and y are integers and x 2 + y 2 is odd, which of the following m [#permalink]
1
The problem can be simplified as x+y is odd, since odd*odd=odd and even*even=even. It's not known whether x or y is even or odd, but one must be even and the other is odd. Hence, only option E is correct and matches our condition set.

Option D is not appropriate, as odd*even can be added by both even or odd, resulting in even and odd accordingly.

Carcass wrote:
If x and y are integers and \(x^2 + y^2\) is odd, which of the following must be even?

(A) x
(B) y
(C) x + y
(D) xy + y
(E) xy
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Re: If x and y are integers and x 2 + y 2 is odd, which of the following m [#permalink]
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