Quiz: Logic & Truth Tables

🧠 Quiz: Logic & Truth Tables

1. A conditional proposition \(p \rightarrow q\) is false when:

\(p\) is true and \(q\) is false \(p\) is false and \(q\) is true Both \(p\) and \(q\) are true Both \(p\) and \(q\) are false

2. The biconditional proposition \(p \leftrightarrow q\) is true when:

\(p\) and \(q\) have the same truth value \(p\) is true and \(q\) is false \(p\) is false and \(q\) is true Always false

3. A tautology is:

A proposition always true A proposition always false A proposition sometimes true A contradiction

4. The negation of \(p\) is represented as:

\(\neg p\) \(p \vee q\) \(p \wedge q\) \(p \rightarrow q\)

5. Which of the following is a contradiction?

\(p \wedge \neg p\) \(p \vee \neg p\) \(p \rightarrow p\) \(p \leftrightarrow p\)