JEE PYQ: Mathematical Reasoning Question 11
Question 11 - 2020 (02 Sep Shift 1)
The contrapositive of the statement “If $I$ reach the station in time, then $I$ will catch the train” is:
(1) If $I$ do not reach the station in time, then $I$ will catch the train.
(2) If $I$ do not reach the station in time, then $I$ will not catch the train.
(3) If $I$ will catch the train, then $I$ reach the station in time.
(4) If $I$ will not catch the train, then $I$ do not reach the station in time.
Type: MCQ
Show Answer
Answer: (4)
Solution
Contrapositive of $p \to q$ is $\sim q \to \sim p$. i.e. contrapositive of ‘if $p$ then $q$’ is ‘if not $q$ then not $p$’.
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