\(a, b,\) and \(c\) are integers in the set \(\{a, b, c, 51,85,72\}.\) Is the median of the set greater than \(70?\)

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\(a, b,\) and \(c\) are integers in the set \(\{a, b, c, 51,85,72\}.\) Is the median of the set greater than \(70?\)

(1) \(b>c>69\)
(2) \(a<c<71\)

Answer: A

Source: Manhattan GMAT