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JEE Main 20202 SeptemberMorning Shift

Exam: JEE Main
Year: 2020
Date: 2 September
Shift: Morning Shift
Subject: Mathematics
Chapter: Mathematical Reasoning

JEE Main 2020 · 2 September · Morning Shift · Mathematics · Mathematical Reasoning

The contrapositive of the statement "If I reach the station in...

The contrapositive of the statement "If I reach the station in time, then I will catch the train" is

Options

AIf I do not reach the station in time, then I will catch the train.
BIf do not reach the station in time, then I will not catch the train.
CIf I will catch the train, then I reach the station in time.
DIf I will not catch the train, then I do not reach the station in time.

Correct answer

D. If I will not catch the train, then I do not reach the station in time.

Step-by-step solution

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

$⇒$ The statement will be "If I will not catch the train, then I do not reach the station in time".

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