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JEE Main2014MathematicsMathematical ReasoningActual

The contrapositive of the statement ''if I am not feeling well, then I will go to the doctor" is

Options

  1. Aif I will go to the doctor, then I am not feeling well.
  2. Bif I am feeling well, then I will not go to the doctor.
  3. Cif I will not go to the doctor, then I am feeling well.
  4. Dif I will go to the doctor, then I am feeling well.

Correct answer

C. if I will not go to the doctor, then I am feeling well.

Step-by-step solution

Statement: If I am not feeling well, then I will go to the doctor. Let p : I am not feeling well and q : I will go to the doctor. The given statement is p → q . We know that the contrapositive of p → q is ~ q → ~ p . Contrapositive: If I will not go to the doctor, then I am feeling well.

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