Data Sufficiency (DS) | Re: If m and n are positive integers, is 36+36+m+n divisible by 4? 1) m

\(3^{6}+3^{6+m+n}\) = \(3^{6}\)(1+\(3^{m+n}\))
Thus if m+n is whether even or odd can give us a unique answer.
Statement 1:
m=3n+1
m-3n = 1 (odd), only possible when one of either m or n is odd and other is even. Which implies - m+n = odd.
Sufficient
Statement 2:
m+3n is odd,only possible when one of either m or n is odd and other is even. Which implies - m+n = odd.
Sufficient.
Thus option D

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