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The contrapositive of is .
Assertion: The contrapositive of $p' \Rightarrow q$ is $q' \Rightarrow p$.
Reason: Contrapositive is the conditional statement, obtained after interchanging antecedent and consequent.
- aBoth A and R are true, and R is the correct explanation of A.
- bBoth A and R are true, but R is not the correct explanation of A.
- cA is true, but R is false.
- dA is false, but R is true.
Answer
Answer
AICorrect 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.
From ISC Computer Science - Competency Focused Practice Questions (CISCE, August 2024), question 25.
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