What is the value of the positive integer \(n?\)

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What is the value of the positive integer \(n?\)

1) If \(31, 32,\) and \(33\) are each divided by \(n,\) the reminders are \(7, 0,\) and \(1,\) respectively.

2) \(n\) is an even number.

Answer: A

Source: GMAT Paper Tests