Write the converse, inverse and contrapositive of the following statement.'If a man is bachelor, then he is happy.'

Q.3 (A) (i) Write the converse, inverse and contrapositive of the following statement.
'If a man is bachelor, then he is happy.'

Doubtly Asked 29 Oct 2026 Board exam · July 2025 hsc 12th Save WhatsApp Report

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Answer:

Let \(p\): A man is bachelor; \(q\): He is happy. The statement is \(p\to q\).

Converse \((q\to p)\): If a man is happy, then he is bachelor.
Inverse \((\sim p\to\sim q)\): If a man is not bachelor, then he is not happy.
Contrapositive \((\sim q\to\sim p)\): If a man is not happy, then he is not bachelor.

Doubtly AI · 29 Oct 2026 AI-verified · Nov 2026 Report

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