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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 about statements that can't be false.
Question 2
Easy
Give an example of a contradiction.
💡 Hint: Consider combinations that make both statements false.
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 type of statement is always true?
- Tautology
- Contradiction
- Contingency
💡 Hint: Consider statements that cannot be false.
Question 2
A statement that is always false is called a?
- True
- False
💡 Hint: Think of combinations that cannot hold true.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Show using logical identities that '¬(p ∧ q) ∧ (¬p ∨ r)' can be simplified. Prove it results in an equivalent expression.
💡 Hint: Think about how negation affects conjunctions.
Question 2
Given p → q and r → s, prove that 'p ∧ r → q ∧ s' is logically equivalent using logical identities.
💡 Hint: Consider the implications separately and how they relate.
Challenge and get performance evaluation