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JEE Main 20149 AprilOnline
Exam
JEE Main
Year
2014
Date
9 April
Mode
Online
Subject
Mathematics
Chapter
Mathematical Reasoning

JEE Main 2014 · 9 April · Online · Mathematics · Mathematical Reasoning

The contrapositive of the statement "I go to school if it does not...

The contrapositive of the statement "I go to school if it does not rain" is

Options

  1. AIf it rains, I go to school.
  2. BIf it rains, I do not go to school.
  3. CIf I go to school, it rains.
  4. DIf I do not go to school, it rains.

Correct answer

B. If it rains, I do not go to school.

Step-by-step solution

Let p=p = It does not rain

q=q = I go to school

Contrapositive of if p→qp\overset{}{\to} q is if ∼q→∼p∼ q\overset{}{\to} ∼ p

So, If it rains, I do not go to school.

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