Same chapter3 marksDifficulty: Medium
Construct the truth table of (p ∧ q) → p and state whether it is a tautology.
Propositional Logic
3 marksDifficulty: Medium
State the converse, inverse and contrapositive of "If it rains, the match is cancelled", and say which is logically equivalent to the original.
Original Khojo Papers practice question — not from a past board paper.
Answer
The converse is "If the match is cancelled, it has rained." The inverse is "If it does not rain, the match is not cancelled." The contrapositive is "If the match is not cancelled, it has not rained." Only the contrapositive is logically equivalent to the original.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
The converse and the inverse are equivalent to each other but not to the original statement.
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