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Quiz

Year 1: Logic and sets

10 questions with solutions for year 1: statements and truth values, negation, conjunction, disjunction, implication, equivalence, logical laws, sets and set operations.

Type the number or choose the right answer. When you finish, click Check answers and see the solutions.

1. The truth value of “7 is a prime number” is:

2. p is true, q is false. What is p ∧ q?

3. p is true, q is false. What is p ∨ q?

4. p is true, q is false. What is p ⇒ q?

5. p and q are both false. What is p ⇔ q?

6. By De Morgan’s law, ¬(p ∧ q) is:

7. A = {1, 2, 3, 4}, B = {3, 4, 5}. How many elements has A ∪ B?

8. A = {1, 2, 3, 4}, B = {3, 4, 5}. A ∩ B = ?

9. A = {1, 2, 3, 4}, B = {3, 4, 5}. A \ B = ?

10. How many subsets does {a, b, c} have?