If \(b\) is the product of three consecutive positive integers \(c,\) \(c + 1,\) and \(c + 2,\) is \(b\) a multiple of

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If \(b\) is the product of three consecutive positive integers \(c,\) \(c + 1,\) and \(c + 2,\) is \(b\) a multiple of \(24?\)

(1) \(b\) is a multiple of \(8.\)
(2) \(c\) is odd.

Answer: A

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Source: — Data Sufficiency |