If a positive integer n, divided by 5 has a remainder 2, Which of the following must be true? I. n is odd II. $n+1$ cannot be a prime number III. $(n+2)$ divided by 7 has remainder 2

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If a positive integer n, divided by 5 has a remainder 2, Which of the following must be true? I. n is odd II. \(n+1\) cannot be a prime number III. \((n+2)\) divided by 7 has remainder 2