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JEE Main 20179 AprilOnline

Exam: JEE Main
Year: 2017
Date: 9 April
Mode: Online
Subject: Mathematics
Chapter: Mathematical Reasoning

JEE Main 2017 · 9 April · Online · Mathematics · Mathematical Reasoning

The contrapositive of the statement 'If two numbers are not equal,...

The contrapositive of the statement 'If two numbers are not equal, then their squares are not equal', is

Options

AIf the squares of two numbers are equal, then the numbers are not equal
BIf the squares of two numbers are not equal, then the numbers are equal
CIf the squares of two numbers are not equal, then the numbers are not equal
DIf the squares of two numbers are equal, then the numbers are equal

Correct answer

D. If the squares of two numbers are equal, then the numbers are equal

Step-by-step solution

$p \to q$

Contrapositive is $~ q \to ~ p$

So, answer is (d) - If the squares of two numbers are equal, then the numbers are equal.

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