Q.1 (i) The converse of contrapositive of \(\sim p \rightarrow q\) is _____.
A. \(q \rightarrow p\)
B. \(\sim q \rightarrow p\)
C. \(p \rightarrow \sim q\)
D. \(\sim q \rightarrow \sim p\)
Best answer
Answer: C. \(p \rightarrow \sim q\)
Answer: (c) \(p \rightarrow \sim q\)
For \(\sim p \rightarrow q\), the contrapositive is \(\sim q \rightarrow \sim(\sim p)\), i.e. \(\sim q \rightarrow p\). The converse of \(\sim q \rightarrow p\) is obtained by interchanging antecedent and consequent: \(p \rightarrow \sim q\).
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