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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Give an example of a tautology.
💡 Hint: Think of statements that are always true.
Question 2
Easy
What is a contradiction?
💡 Hint: Consider statements that can never be true.
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 always represent?
- Always true
- Always false
- Sometimes true
💡 Hint: Think of statements that never fail.
Question 2
Is p ∧ ¬p a tautology?
- True
- False
💡 Hint: Consider if a statement can be both true and false.
Solve 3 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Using logical identities, prove that (p ∨ q) ∧ ¬(p ∧ q) is logically equivalent to p ⊕ q (exclusive or).
💡 Hint: Look for substitutions in common logical identities.
Question 2
Construct a truth table for p ∨ (q ∧ r) and simplify it using logical identities.
💡 Hint: Consider breaking down into basic components for clarity.
Challenge and get performance evaluation