JEE Main 2020MathematicsMathematical ReasoningEasyMCQ

JEE Main 2020 — Mathematical Reasoning Question with Solution

JEE Main 2020 (06 Sep Shift 2)

Question

Consider the statement: "For an integer n, if n3-1 is even, then n is odd". The contrapositive statement of this statement is:

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Show full solutionCorrect option: A
Correct answer
AFor an integer n, if n is even, then n3-1 is odd.

Step-by-step explanation

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.

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About this question

This is a previous-year question from JEE Main 2020, covering the Mathematical Reasoning chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.