JEE Main 2020 — Mathematical Reasoning Question with Solution
From: JEE Main 2020 (Online) 6th September Evening Slot
Question
Consider the statement :
‘‘For an integer n, if n3 – 1 is even, then n is odd.’’
The contrapositive statement of this statement is :
‘‘For an integer n, if n3 – 1 is even, then n is odd.’’
The contrapositive statement of this statement is :
Choose an option
Show full solutionCorrect option: D
Correct answer
DFor an integer n, if n is even, then n3 – 1 is odd.
Step-by-step explanation
Let,
p : n3–1 is even,
q : n is odd
Contrapositive of p q = q p
If n is not odd then n3 – 1 is not even.
For an integer n, if n is even, then n3 – 1 is odd.
q : n is odd
Contrapositive of p q = q p
If n is not odd then n3 – 1 is not even.
For an integer n, if n is even, then n3 – 1 is odd.
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