NTA Abhyas JEE Main2020MathematicsMathematical ReasoningPractice

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

Options

AThe weather is fine but my friends will not come or we do not go for a picnic.
BIf my friends do not come or we do not go for picnic then weather will not be fine.
CIf the weather is not fine then my friends will not come or we do not go for a picnic.
DThe weather is not fine but my friends will come and we 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.

Step-by-step 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.

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