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