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Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
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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 statements that cover all truth values.
Question 2
Easy
Define a contradiction and give an example.
💡 Hint: Look for examples where one part conflicts with another.
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
Which of the following is always true?
- p ∧ ¬p
- p ∨ ¬p
- p → ¬p
💡 Hint: Consider what happens if p is true or false.
Question 2
Is p → q equivalent to ¬q → ¬p?
- True
- False
💡 Hint: Think of the meaning of each side of the equivalence.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Consider the statements p = 'It rains' and q = 'The ground is wet'. Show using logical equivalence that 'If it does not rain, then the ground is not wet' is equivalent to 'If the ground is wet, then it has rained'.
💡 Hint: Start with rewriting the statements using known identities.
Question 2
Using De Morgan's Law, simplify ¬(p ∨ q).
💡 Hint: Focus on how negation interacts with conjunctions and disjunctions.
Challenge and get performance evaluation