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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is a tautology?
💡 Hint: Think of statements involving 'or' conditions.
Question 2
Easy
What is the double negation law?
💡 Hint: Consider how negating works.
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
What does a tautology signify in logic?
- Always true
- Always false
- Sometimes true
💡 Hint: Think of it as a universal truth in logical terms.
Question 2
Is p and ¬p a contradiction?
- True
- False
💡 Hint: Reflect on the nature of opposing statements.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Show that the two expressions (p ∨ q) ∧ (¬p ∨ r) and r ∨ q are logically equivalent using simplifications.
💡 Hint: Start by distributing the components of the first expression.
Question 2
Prove that if (p → q) ≡ (¬q → ¬p) is always true, then demonstrate using a truth table.
💡 Hint: Outline the truth values for p and q to reveal their corresponding outcomes.
Challenge and get performance evaluation