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The Quest for 700: Weekly GMAT Challenge (Answer)

Yesterday, Manhattan GMAT posted a GMAT question on our blog.  Today, they have followed up with the answer:

For the sum of x and y to be even, the two variables must both be even or both be odd.

Statement (1): INSUFFICIENT. We know that at least one of the variables is even, but we do not know whether they are both even.

Statement (2): INSUFFICIENT. We know that x = y•(some even integer). Since an even integer multiplied by any other integer is also even, we know that x is even. However, we do not know whether y is even.

Statements (1) & (2): INSUFFICIENT. Using both statements, we only know that x is even. Meanwhile, y could be even, but it does not have to be. As a result, we cannot determine whether the sum of x and y is even or odd. All of these results can be confirmed by picking numbers.

The correct answer is E: Even taken together, the statements are not sufficient to answer the question.




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