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JEE Math Practice Question

Which of the following statement is a tautology?

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

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