Q26 / 69 · NTA Abhyas (JEE Main) 2020 · Mathematics · Mathematical Reasoning

The contrapositive of the statement: "If the weather is fine then my friends will come and we go for a picnic." is

  • A
    The weather is fine but my friends will not come or we do not go for a picnic.
  • Correct answer
    B
    If my friends do not come or we do not go for picnic then weather will not be fine.
  • C
    If the weather is not fine then my friends will not come or we do not go for a picnic.
  • D
    The weather is not fine but my friends will come and we go for a picnic.

Solution

p→( q∧r )

Contrapositive ( ∽( q∧r ) )→∽p

∴( ∽q∨∽r )→∽p

If my friends do not come or we do not go for picnic then weather will not be fine.

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

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