tmua.fyi Mock Paper 2 · Question 2

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tmua.fyi Mock Paper 2 · Q2

Paper 2Logic & proofNumber & counting

Let $n$ be a positive integer. Consider statement P: ‘ $n$ is prime’, and statement Q: ‘ $n$ is of the form $6k\pm1$ for some integer $k$ ’. Then Q is:

Anecessary but not sufficient for P.

Bsufficient but not necessary for P.

Cboth necessary and sufficient for P.

Dneither necessary nor sufficient for P.

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