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\(x\) and \(y\) are positive integers. If \(x\) is a prime factor of \(y^2,\) which of the following MUST be true?

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by Vincen » Fri Oct 16, 2020 12:22 am

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\(x\) and \(y\) are positive integers. If \(x\) is a prime factor of \(y^2,\) which of the following MUST be true?

A. \(x\) is even
B. \(x=y^2\)
C. \(\dfrac{x}{y}\) is even
D. \(\dfrac{x}{y} \le1\)
E. \(x+1\) is also the prime factor of \(y^2\)

Answer: D

Source: GMAT Club Tests
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