Consider the statement “For an integer $n$ if ${n^3} - 1$ even, then n is odd”. The contrapositive statement of this statement is

For an integer $n,$ if $n$ is even, then ${n^3} - 1$ is odd

For an integer $n,$ if ${n^3} - 1$ is not even, then $n$ is not odd

For an integer $n,$ if $n$ is even, then ${n^3} - 1$ is even

For an integer $n,$ if $n$ is odd, then ${n^3} - 1$ is even

JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

1 Easy

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Understanding +4 | -1

Consider the statement “For an integer

n

{n^3} - 1

even, then n is odd”. The contrapositive statement of this statement is

View answer and explanation

Correct option: A

For an integer

n,

n

is even, then

{n^3} - 1

is odd

Option A (For an integer

n,

n

is even, then

{n^3} - 1

is odd) is correct because it correctly represents the contrapositive of the given statement.

Practice All Chapter MCQs →

p:A

q:A

\sqrt{3}

p

q

p \rightarrow q

{F_1}(A,\,B,\,C) = \left( {A \wedge \sim B} \right) \vee \left[ { \sim C \wedge \left( {A \vee B} \right)} \right] \vee \sim A

{F_2}(A,\,B) = \left( {A \vee B} \right) \vee (B \to \, \sim \,A)

p

n

q:

n

p \Leftrightarrow q