If x + y is odd, which of the following could be true?

(I) xy is even
(II) xy is odd
(III) x/y is even

Correct answer marked below

I only

II only

III only

I and II

I and III

Correct

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What this question tests

Your command of divisibility, primes, factors, parity, and how the GMAT tests properties of integers.

Forgetting that 1 is not prime, that 0 is divisible by every integer, or that negative numbers flip your assumptions.

If x + y is odd, which of the following could be true?(I) xy is even(II) xy is odd(III) x/y is even