English

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

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Question

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

Options

  • If I will catch the train, then I reach the station in time.

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

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

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

MCQ
Fill in the Blanks
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Solution

The contrapositive of the statement "If I reach the station in time, then I will catch the train" is if I will not catch the train, then I do not reach the station in time.

Explanation:

Let P ≡ If I reach the station

q ≡ I will catch the train

According to question

P→q

Contrapositive

∼q→∼p

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

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Converse, Inverse and Contrapositive of the Conditional Staternent
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