Consider the statement: "For an integer n , if $\mathrm{n}^3-1$ is even, then n is odd." The contrapositive statement of this statement is :
Select the correct option:
A
For an integer n , if n is odd, then $\mathrm{n}^3-1$ is even
B
For an integer n , if n is even, then $\mathrm{n}^3-1$ is even.
C
For an integer n , if n is even, then $\mathrm{n}^3-1$ is odd.
D
For an integer $n$, if $n^3-1$ is not even, then $n$ is not odd.
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
Contrapositive statement will be
"For an integer n , if n is not odd then $\mathrm{n}^3-1$ is not even".
OR
"For an integer n , if n is even then $\mathrm{n}^3-1$ is odd.
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