The Logic of Arguments

Topic practice · Paper 2 · Foundation

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Let $n$ be an integer.

Conclusion C: $n(n+1)$ is divisible by $4$ .

Consider the following proposed sufficient conditions for C:
I. $n$ is even.
II. $n$ is a multiple of $4$ .
III. $n$ leaves remainder $3$ when divided by $4$ (i.e. $n \equiv 3 \pmod{4}$ ).

Which of I–III are sufficient for C?

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