tmua.fyi Paper 2 Challenge 1 · Question 20

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tmua.fyi Paper 2 Challenge 1 · Q20

Paper 2Logic & proofNumber & counting

Let $n$ be an integer and consider the statement “if $n$ is odd then $n^2+n$ is even”. Which of the following are true?

I. The statement is true.

II. In fact $n^2+n$ is even for every integer $n$ .

III. The converse of the statement is true.

AI only

BI and II only

CI, II and III

DII only

EIII only

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