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MHT CET · Maths · Mathematical Reasoning

Amongs the given statements below
___________ is a tautology

  1. A \(\sim p \vee(\sim p \vee \sim q)\)
  2. B \(\sim q \wedge(\sim p \vee \sim q)\)
  3. C \((\sim p \vee \sim q) \wedge(p \vee \sim q)\)
  4. D \((\sim p \vee \sim q) \vee(p \vee \sim q)\)
Verified Solution

Answer & Solution

Correct Answer

(D) \((\sim p \vee \sim q) \vee(p \vee \sim q)\)

Step-by-step Solution

Detailed explanation

Image
All entries in column 10 are T. Hence statement(d) is a tautology.