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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is a tautology? Give an example.
💡 Hint: Think of a logical disjunction that includes both a variable and its negation.
Question 2
Easy
Define contradiction and provide an example.
💡 Hint: Consider a logical conjunction that cannot logically 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 is the definition of a tautology?
- A statement that is always false
- A statement that is sometimes true
- A statement that is always true
💡 Hint: Think of a logical expression that is universally true.
Question 2
Is the statement 'p ∧ ¬p' a contradiction?
- True
- False
💡 Hint: Consider the logical compatibility of p and its negation.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that ¬(p ∨ q) is logically equivalent to ¬p ∧ ¬q.
💡 Hint: Recall how negation interacts with disjunctions.
Question 2
Show that (p → q) ↔ (¬q → ¬p) using a truth table.
💡 Hint: Typical truth tables can help clarify the relationships between implications.
Challenge and get performance evaluation