3. Formal Logic

Truth Tables — Quiz

Test your understanding of truth tables with 5 practice questions.

Practice Questions

Question 1

Given the propositional formula $(P \to Q) \lor (Q \land \neg P)$, construct a truth table and determine its truth value when $P$ is false and $Q$ is true.

Question 2

Which of the following propositional formulas is logically equivalent to $\neg (P \leftrightarrow Q)$?

Question 3

If a propositional formula is a tautology, and another propositional formula is a contradiction, what can be said about their conjunction?

Question 4

Consider the propositional formula $(P \to Q) \land (Q \to P)$. Which single logical operator is this formula equivalent to?

Question 5

What is the truth value of the formula $(P \land \neg Q) \lor (\neg P \land Q)$ if $P$ is true and $Q$ is false?