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What should be the best answer and the explanation?

Problem Solving — algebra and arithmetic (GMAT Focus Edition)
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by Chelseaer » Sun Sep 21, 2025 8:56 pm
If x and y are both integers, and x/y is not an integer, then which of the following statements must be true?

A. x is odd and y is even
B. x is odd and y is odd
C. x is even and y is odd
D. x < y
E. None of the above
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Source: — Quantitative Reasoning |

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Re: What should be the best answer and the explanation?

by Ian Stewart » Mon Sep 22, 2025 11:50 am
That is not a real GMAT question, because you don't see answers like "none of the above" on the GMAT to questions like this. But that is the right answer here -- there is no way to decide which of the two unknowns is even or odd (x/y might be 8/5 or 9/5 or 8/6 or 9/6), and as all of those examples illustrate, x can be greater than y, leaving only answer E.
For online GMAT math tutoring, or to buy my higher-level Quant books and problem sets, contact me at ianstewartgmat at gmail.com

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