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Study the Assertion and Reason and choose the correct option.
The contrapositive of p' ⇒ q is q' ⇒ p.
Assertion: The contrapositive of $p' \Rightarrow q$ is $q' \Rightarrow p$.
Reason: Contrapositive is the conditional statement, obtained after interchanging antecedent and consequent.
- (a)Both A and R are true, and R is the correct explanation of A.
- (b)Both A and R are true, but R is not the correct explanation of A.
- (c)A is true, but R is false.
- (d)A is false, but R is true.
Answer
Answer
Correct option: c
Answer: (c) A is true, but R is false.
For p' => q, the contrapositive negates both sides and swaps them: ~q => ~(p') = q' => p, exactly as the assertion states, so A is true. R is false because it describes only interchanging the antecedent and consequent without negating them - that is the definition of the converse, not the contrapositive.