Verified Solution • 2025–26 Session moderate

QJEEM20Maf055: JEE Main 2020 Mathematics - Class 11 JEEM20Maf055 Solution: 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 :

Multiple Choice Options

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

Step-by-Step Verified Solution

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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