Specialist2025 NHT Exam 2 Section A · Q1CAS active1 mark

Contrapositive of a parity statement

Consider the statement

$\text{‘if } n^2 + 5 \text{ is odd, then } n \text{ is even’, where } n \in Z.$

The contrapositive of this statement is

1 mark

Aif

n

is even then

n^2 + 5

is odd.Bif

n^2 + 5

is even then

n

is even.Cif

n^2 + 5

is even then

n

is odd.Dif

n

is odd then

n^2 + 5

is even.

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