MHT CET · Maths · Mathematical Reasoning
Which of the following statement is a tautology?
- A \((\sim q \wedge p) \wedge(p \wedge \sim p)\)
- B \((\mathrm{p} \wedge \mathrm{q}) \wedge(\sim \mathrm{p} \wedge \mathrm{q})\)
- C \([(\sim q) \wedge p] \wedge q\)
- D \((\sim q \wedge p) \vee(p \vee \sim p)\)
Answer & Solution
Correct Answer
(D) \((\sim q \wedge p) \vee(p \vee \sim p)\)
Step-by-step Solution
Detailed explanation
\(p \vee \sim p \equiv \text{True}\) (Law of Excluded Middle) \((\sim q \wedge p) \vee (p \vee \sim p) \equiv (\sim q \wedge p) \vee \text{True}\)
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