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JEE Main 201610 AprilOnline

Exam: JEE Main
Year: 2016
Date: 10 April
Mode: Online
Subject: Mathematics
Chapter: Mathematical Reasoning

JEE Main 2016 · 10 April · Online · Mathematics · Mathematical Reasoning

The contrapositive of the following statement, "If the side of a...

The contrapositive of the following statement, "If the side of a square doubles, then its area increases four times", is

Options

Aif the area of a square increases four times, then its side is not doubled.
Bif the area of a square increases four times, then its side is doubled.
Cif the area of a square does not increase four times, then its side is not doubled.
Dif the side of a square is not doubled, then its area does not increase four times.

Correct answer

C. if the area of a square does not increase four times, then its side is not doubled.

Step-by-step solution

Contrapositive of $p \to q$ is given by $~ q \to ~ p$ .

So, contrapositive of given statement is, "If the area of a square does not increase four times, then its side is not doubled".

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