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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What defines a tautology?
💡 Hint: Think about examples like 'p OR NOT p'.
Question 2
Easy
What does the negation of a proposition do?
💡 Hint: If the original is true, what is its negation?
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
Is 'p OR NOT p' a tautology?
- True
- False
💡 Hint: Evaluate the truth values.
Question 2
What happens if the negation of a proposition is satisfiable?
- The proposition is a tautology
- The proposition is not a tautology
- Indeterminate
💡 Hint: Think about what satisfiability means.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that the compound proposition 'not(p AND q)' is equivalent to 'NOT p OR NOT q'.
💡 Hint: Start from the negation and manipulate it with laws.
Question 2
Identify a real-world scenario where tautologies are critical.
💡 Hint: Think in terms of technology and reliability.
Challenge and get performance evaluation