Is the two-digit positive integer \(n\) divisible by 3?

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Is the two-digit positive integer \(n\) divisible by 3?

(1) If the digits of \(n\) are reversed to produce the two-digit integer \(m,\) then \(m\) is divisible by 3.

(2) If the digits of \(n\) are reversed to produce the two-digit integer \(m,\) then \(m + n\) is divisible by 3.

Answer: D

Source: Manhattan GMAT
Source: — Data Sufficiency |