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If \(x^3 - x = n\) and \(x\) is a positive integer greater than 1, is \(n\) divisible by 8?

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by VJesus12 » Wed Aug 19, 2020 6:43 am

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If \(x^3 - x = n\) and \(x\) is a positive integer greater than 1, is \(n\) divisible by 8?

(1) When \(3x\) is divided by 2, there is a remainder.
(2) \(x = 4y + 1,\) where y is an integer.

Answer: D

Source: Manhattan GMAT
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Source: — Data Sufficiency |