If the sum of three consecutive integers is odd, then the first and the last integers must be

Correct answer marked below

odd, even

odd, odd

even, odd

even, even

Correct

none of the above

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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.