2021HSCMultiple choice

Q4

1 mark

Question

Consider the statement: “For all integers $n$ , if $n$ is a multiple of $6$ , then $n$ is a multiple of $2$ .” Which is its contrapositive?

A. There exists an integer $n$ such that $n$ is a multiple of $6$ and not a multiple of $2$ .
B. There exists an integer $n$ such that $n$ is a multiple of $2$ and not a multiple of $6$ .
C. For all integers $n$ , if $n$ is not a multiple of $2$ , then $n$ is not a multiple of $6$ .
D. For all integers $n$ , if $n$ is not a multiple of $6$ , then $n$ is not a multiple of $2$ .

Try the question before revealing the answer.

Syllabus alignment

Proof

The Nature of ProofUse formal proof language, contradiction, counter-examples and rigorous arguments involving numbers and inequalities.

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