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If \(a, b\) and \(n\) are positive integers such that \(n=3a-b^3,\) is \(n^2+3\) divisible by \(2?\)

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by Vincen » Tue Nov 02, 2021 4:14 am

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If \(a, b\) and \(n\) are positive integers such that \(n=3a-b^3,\) is \(n^2+3\) divisible by \(2?\)

(1) \(a^2 -4b^3-5=0\)

(2) \(3b^3 -a^2 +6=0\)

Answer: B

Source: e-GMAT
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