JEE PYQ: Mathematical Reasoning Question 20
Question 20 - 2020 (06 Sep Shift 2)
Consider the statement: “For an integer $n$, if $n^3 - 1$ is even, then $n$ is odd.” The contrapositive statement of this statement is:
(1) For an integer $n$, if $n$ is even, then $n^3 - 1$ is odd.
(2) For an integer $n$, if $n^3 - 1$ is not even, then $n$ is not odd.
(3) For an integer $n$, if $n$ is even, then $n^3 - 1$ is even.
(4) For an integer $n$, if $n$ is odd, then $n^3 - 1$ is even.
Type: MCQ
Show Answer
Answer: (1)
Solution
Contrapositive: “For an integer $n$, if $n$ is not odd then $n^3 - 1$ is not even”, or equivalently “For an integer $n$, if $n$ is even then $n^3 - 1$ is odd”.
BETA
