Propositional Logic Quiz

What is a proposition?

• A declarative sentence that is either true or false

• An expression that contains variables

• A command or request

• A question that requires an answer

Which of the following is an example of a compound proposition?

• What time is it?

• It is raining.

• I am at home and it is raining.

• The Moon is made of green cheese.

What does the connective '¬' represent?

• Conjunction

• Disjunction

• Negation

• Implication

Which of the following statements is a tautology?

• p ∧ q

• p ∧ ¬p

• p ∨ ¬p

• p → q

What is the truth value of p → q when p is true and q is false?

• False

• True

• Undefined

• Not applicable

What does the biconditional p ↔ q mean?

• p and q

• p or q

• p implies q

• p if and only if q

Which of the following is NOT a logical connective?

• Negation

• Conjunction

• Addition

• Disjunction

What is the contrapositive of the statement p → q?

• p → ¬q

• q → p

• ¬p → ¬q

• ¬q → ¬p

Which of the following laws states that p ∨ (p ∧ q) is equivalent to p?

• Absorption Law

• Identity Law

• Distributive Law

• Commutative Law

In propositional logic, what does 'p ∧ q' represent?

• p if and only if q

• p and q

• p or q

• If p then q