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Mathematics I – foundations – test 1: Logic: statements and truth tables

10 multiple-choice and short-answer problems (Mathematics I). The solutions are shown after checking.

For multiple-choice questions choose one answer. For the others type the answer: a number, a decimal or a fraction such as 5/12. When you finish, click Check answers.

1. Let p be true and q false. What is p∧q?

2. Let p be false and q false. What is p∨q?

3. Let p be true and q false. What is p⇒q?

4. Let p be false and q true. What is p⇒q?

5. Let p be false and q false. What is p⇔q?

6. Which formula is equivalent to p⇒q?

7. The law of contraposition: p⇒q is equivalent to…

8. How many rows does the truth table for three statements p,q,r have?

9. Which formula is a tautology (always true)?

10. The negation of p∧q is…