The Logic of Arguments

Topic practice · Paper 2 · Core

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For an integer $n$ , let $P$ be " $n$ is divisible by $6$ ". Let $A$ be " $n$ is divisible by $3$ " and let $B$ be " $n$ is even".

I. $A$ is necessary for $P$ .
II. $B$ is sufficient for $P$ .
III. $A$ and $B$ together are necessary and sufficient for $P$ .

Which of I, II and III are correct?

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