Clavis TMUA Set B Paper 2 · Question 4

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Clavis TMUA Set B Paper 2 · Q4

Paper 2Logic & proofNumber & counting

Let $n$ be a positive integer, and consider the two statements:

$P$ : $n^2$ is a multiple of $9$

$Q$ : $n$ is a multiple of $3$

Which one of the following is true?

P

is necessary and sufficient for

Q

P

is necessary but not sufficient for

Q

P

is sufficient but not necessary for

Q

P

is not necessary and not sufficient for

Q

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