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JEE Main 201419 AprilOnline

Exam: JEE Main
Year: 2014
Date: 19 April
Mode: Online
Subject: Mathematics
Chapter: Mathematical Reasoning

JEE Main 2014 · 19 April · Online · Mathematics · Mathematical Reasoning

The contrapositive of the statement ''if I am not feeling well,...

The contrapositive of the statement ''if I am not feeling well, then I will go to the doctor" is

Options

Aif I will go to the doctor, then I am not feeling well.
Bif I am feeling well, then I will not go to the doctor.
Cif I will not go to the doctor, then I am feeling well.
Dif I will go to the doctor, then I am feeling well.

Correct answer

C. if I will not go to the doctor, then I am feeling well.

Step-by-step solution

Statement: If I am not feeling well, then I will go to the doctor.
Let $p:$ I am not feeling well and $q:$ I will go to the doctor.
The given statement is $p \to q$ .
We know that the contrapositive of $p \to q$ is $~ q \to ~ p$ .
Contrapositive: If I will not go to the doctor, then I am feeling well.

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