Clavis TMUA Set C Paper 2 · Question 4

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Clavis TMUA Set C Paper 2 · Q4

Paper 2Logic & proofNumber & counting

Let $a$ and $b$ be positive integers, and consider the two statements:

$P$ : $ab$ is divisible by $6$

$Q$ : $a$ is divisible by $6$ or $b$ is divisible by $6$

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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