JEE Main 2019MathematicsMathematical ReasoningLogical StatementeasyMCQ

JEE Main 2019Mathematical Reasoning Question with Solution

From: JEE Main 2019 (Online) 8th April Morning Slot

Question

The contrapositive of the statement "If you are born in India, then you are a citizen of India", is :

Choose an option

Show full solutionCorrect option: A
Correct answer
AIf you are not a citizen of India, then you are not born in India.

Step-by-step explanation

Let p = you are born in India.

q = you are a citizen of India.

p = you are not born in India.

q = you are not a citizen of India.

We know Contrapositive of p q is ~q ~p

So contrapositive of statement will be :

“If you are not a citizen of India, then you are not born in India.”

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About this question

This is a previous-year question from JEE Main 2019, 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.