JEE Main 2019 — Mathematical Reasoning Question with Solution
From: JEE Main 2019 (Online) 11th January Evening Slot
Question
Contrapositive of the statement " If two numbers are not equal, then their squares are not equal." is :
Choose an option
Show full solutionCorrect option: B
Correct answer
BIf the squares of two numbers are equal, then the numbers are equal
Step-by-step explanation
Let,
p : two numbers are not equal
q : squares of two numbers are not equal
Contrapositive of p q is q p.
q p means "If the squares of two numbers are equal, then the numbers are equal".
p : two numbers are not equal
q : squares of two numbers are not equal
Contrapositive of p q is q p.
q p means "If the squares of two numbers are equal, then the numbers are equal".
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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.