If \(n\) is a positive integer, is \(n^3 + 4n^2 - 5n\) divisible by \(8?\)

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If \(n\) is a positive integer, is \(n^3 + 4n^2 - 5n\) divisible by \(8?\)

(1) \(n = 4b + 1,\) where \(b\) is a positive integer.

(2) \(n^2 - n\) is divisible by \(24.\)

Answer: D

Source: Princeton Review