TMUA MioMath 2024 Paper 2 · Question 3

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MioMath 2024 Paper 2 · Q3

Paper 2Logic & proofNumber & counting

If the statement $P$ : “For any $n$ such that $n\not\equiv1\pmod{6}$ , $n$ is not prime” is false, then which of the following is true?

AThere exist a

n\not\equiv1\pmod{6}

and

n

is prime.

BThere exist a

n\equiv1\pmod{6}

and

n

is prime.

CFor any prime

n

n\equiv1\pmod{6}

DFor any prime

n

n\not\equiv1\pmod{6}

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