Are positive integers \(m\) and \(n\) both multiples of \(3?\)

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Are positive integers \(m\) and \(n\) both multiples of \(3?\)

(1) Two-digit number \(mn,\) where \(m\) is the tens digit and \(n\) is the units digit, is a multiple of \(9.\)
(2) \(n\) is a multiple of \(3.\)

Answer: C

Source: GMAT Club Tests