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Stmt 1 is insufficient because n = 2k + 1 means n is odd. However we cannot conclude the remainder when n is divided by 3 simply by knowing n is odd. E.g. if n = 5, 5/3 = 2. if n = 7, 7/3 = 1. So insuff

Stmt 2 says n + 1 = 3k + 2; n = 3k + 1
This tells us the remainder when n is divided by 3 = 1
so sufficient