MHT CET · Maths · Mathematical Reasoning
The contrapositive of the statement \(\sim p \vee(q \wedge \sim r)\) is
- A \(\mathrm{p} \rightarrow \mathrm{q} \wedge \mathrm{r}\)
- B \((q \wedge r) \rightarrow p\)
- C \(\sim \mathrm{q} \vee \sim \mathrm{r} \rightarrow \mathrm{p}\)
- D \((\mathrm{r} \vee \sim \mathrm{q}) \rightarrow \sim \mathrm{p}\)
Answer & Solution
Correct Answer
(D) \((\mathrm{r} \vee \sim \mathrm{q}) \rightarrow \sim \mathrm{p}\)
Step-by-step Solution
Detailed explanation
\(A \vee B \equiv \sim A \rightarrow B\) \(\sim p \vee(q \wedge \sim r) \equiv p \rightarrow (q \wedge \sim r)\)
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