The contrapositive of the statement

Question:

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

  1. (1) If $I$ do not reach the station in time, then $I$ will catch the train.

  2. (2) If $I$ do not reach the station in time, then $I$ will not catch the train.

  3. (3) If $I$ will catch the train, then $I$ reach the station in time.

  4. (4) If $I$ will not catch the train, then $I$ do not reach the station in time.


Correct Option: , 4

Solution:

Contrapositive of $p \rightarrow q$ is $\sim q \rightarrow \sim p$

i.e. contrapositive of 'if $p$ then $q$ ' is 'if not $q$ then not $p$ '.

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