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If \(x, y\) and \(z\) are positive integers such that \(x^4y^3 = z^2,\) is \(x^9-y^6\) odd?

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by Vincen » Sun Jan 03, 2021 9:34 am

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If \(x, y\) and \(z\) are positive integers such that \(x^4y^3 = z^2,\) is \(x^9-y^6\) odd?

(1) \(\dfrac{x^4y^3}{x^2+y^2}\) can be written in the form \(4k+3,\) where \(k\) is a positive integer.

(2) \(z=x+y\)

Answer:D

Source:e-GMAT
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