The contrapositive of the statement "If I reach the station in time, then I will catch the train" is :
JEE · Math · previous-year question
- A.If I will catch the train, then I reach the station in time.
- B.If I do not reach the station in time, then I will not catch the train.
- C.If I will not catch the train, then I do not reach the station in time.correct
- D.If I do not reach the station in time, then I will catch the train.
Answer
C. If I will not catch the train, then I do not reach the station in time.
Explanation
Let p denotes statement p : I reach the station in time. q : I will catch the train. Contrapositive of p $$ \to $$ q is $$ \sim $$q $$ \to $$ $$ \sim $$p $$ \sim $$q $$ \to $$ $$ \sim $$p : If I will not catch the train, then I do not reach the station in time.
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