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Mathematical Reasoning
medium
Consider the statement : "For an integer $n$, if $n ^{3}-1$ is even, then $n$ is odd." The contrapositive statement of this statement is
A
For an integer $n ,$ if $n ^{3}-1$ is not even, then $n$ is not odd
B
For an integer $n,$ if $n$ is even, then $n^{3}-1$ is odd.
C
For an integer $n ,$ if $n$ is odd, then $n ^{3}-1$ is even.
D
For an integer $n ,$ if $n$ is even, then $n ^{3}-1$ is even.
(JEE MAIN-2020)
Solution
Contrapositive of $( p \rightarrow q )$ is $\sim q \rightarrow \sim p$ For an integer $n,$ if $n$ is even then $\left(n^{3}-1\right)$ is odd
Standard 11
Mathematics
