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If \(n\) is a positive integer, is \(n^3 - n\) divisible by \(4?\)

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by VJesus12 » Sat Oct 16, 2021 4:45 am

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If \(n\) is a positive integer, is \(n^3 - n\) divisible by \(4?\)

(1) \(n = 2k + 1,\) where \(k\) is an integer.
(2) \(n^2 + n\) is divisible by \(6.\)

Answer: A

Source: Official Guide
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Source: — Data Sufficiency |