If \(a, b,\) and \(c\) are positive integers, is \(b\) between \(a\) and \(c?\)

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If \(a, b,\) and \(c\) are positive integers, is \(b\) between \(a\) and \(c?\)

(1) \(b\) is \(3\) greater than \(a,\) and \(b\) is \(5\) less than \(c.\)
(2) \(c\) is \(5\) greater than \(b\), and \(c\) is \(8\) greater than \(a.\)

Answer: D

Source: GMAT Prep