If \(m\) and \(n\) are positive integers, is the remainder of \(\dfrac{10^m+n}3\) larger than the remainder of

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If \(m\) and \(n\) are positive integers, is the remainder of \(\dfrac{10^m+n}3\) larger than the remainder of \(\dfrac{10^n+m}3?\)

(1) \(m>n.\)
(2) The remainder of \(\dfrac{n}3\) is \(2.\)

Answer: B

Source: GMAT Club Tests