If the positive integer \(n\) is greater than \(6,\) what is the remainder when \(n\) is divided by \(6?\)

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If the positive integer \(n\) is greater than \(6,\) what is the remainder when \(n\) is divided by \(6?\)

(1) When \(n\) is divided by \(9,\) the remainder is \(2.\)
(2) When \(n\) is divided by \(4,\) the remainder is \(1.\)

Answer: C

Source: Manhattan GMAT
Source: — Data Sufficiency |