Q47 / 90 · JEE Main 2014 (09 Apr Online) · Mathematics

The contrapositive of the statement "I go to school if it does not rain" is

  • A
    If it rains, I go to school.
  • Correct answer
    B
    If it rains, I do not go to school.
  • C
    If I go to school, it rains.
  • D
    If I do not go to school, it rains.

Solution

Let p= It does not rain

q= I go to school

Contrapositive of if p  → q is if ∼q → ∼p

So, If it rains, I do not go to school.

Hence, the correct answer is option: 'B'.

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