Consider two statements
If X is an integer and $X=2p+1$ where p is not an integer.
If Y is an integer and $Y=2q$ where q is not an integer

Which of the following correctly specifies the Even/Odd nature of X and Y respectively

Correct answer marked below

Odd, Even

Odd, Odd

Even, Odd

Correct

Even,Even

Cannot be determined

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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.

Consider two statementsIf X is an integer and X=2p+1X=2p+1X=2p+1 where p is not an integer.If Y is an integer and Y=2qY=2qY=2q where q is not an integerWhich of the following correctly specifies the Even/Odd nature of X and Y respectively