JEE Main 201911 JanuaryEvening Shift

Exam: JEE Main
Year: 2019
Date: 11 January
Shift: Evening Shift
Subject: Mathematics
Chapter: Mathematical Reasoning

JEE Main 2019 · 11 January · Evening Shift · Mathematics · Mathematical Reasoning

Contrapositive of the statement "If two numbers are not equal, then...

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

Correct answer

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

Step-by-step solution

Contrapositive of "If

A

then

B^{\prime \prime}

is "If

\sim \mathrm{B}

then

\sim A^{\prime \prime}

. Hence contrapositive of "If two numbers are not equal, then their squares are not equal" is "If squares of two numbers are equal, then the two numbers are equal".

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