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Study the Assertion and Reason and choose the correct option.
For proposition ~ A ⇒ B, its contrapositive is B ⇒ ~ A
Assertion: For proposition $\sim A \Rightarrow B$, its contrapositive is $B \Rightarrow \sim A$
Reason: Contrapositive is the converse of inverse for any proposition.
- (a)Both Assertion and Reason are true, and Reason is the correct explanation for the Assertion.
- (b)Both Assertion and Reason are true, but Reason is not the correct explanation for the Assertion.
- (c)Assertion is true but Reason is false.
- (d)Assertion is false but Reason is true.
Answer
Answer
Correct option: (d)
The Assertion is false: the contrapositive of $\sim A \Rightarrow B$ is $\sim B \Rightarrow A$, not $B \Rightarrow \sim A$. The Reason is true: the contrapositive of a proposition is indeed the converse of its inverse, in general. Since the Assertion is false, the Reason cannot be its explanation. Answer: (d)