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Propositional Logic · Standard · Demonstration practice result
PRACTICE RESULT · SAMPLE
3 / 5
3 correct answers. 2 ideas to revisit.
60% accuracy on this five-question practice set. This is not an exam-success prediction or a measure of overall course mastery.
Review these subtopics
Question 2 · Implication Needs review
Question 3 · De Morgan’s law Needs review
Review Propositional LogicAll five answers
Question 1 · Which statement is a proposition?
CorrectYOUR ANSWER
B · The lab is open.
CORRECT ANSWER
B · The lab is open.
A declarative statement can be true or false. A command or question is not a proposition.
↗ Sample · Week 3 transcript · §3.1Question 2 · If p is true and q is false, what is the truth value of p → q?
IncorrectYOUR ANSWER
A · True
CORRECT ANSWER
B · False
A conditional is false only in the true → false case. This is exactly that case.
↗ Sample · Week 3 transcript · §3.3Question 3 · Which expression is equivalent to ¬(p ∨ q)?
IncorrectYOUR ANSWER
A · ¬p ∨ ¬q
CORRECT ANSWER
C · ¬p ∧ ¬q
De Morgan’s law negates both statements and switches the connective from ∨ to ∧.
↗ Sample · Week 3 transcript · §3.4Question 4 · When is p ∧ q true?
CorrectYOUR ANSWER
D · When both p and q are true
CORRECT ANSWER
D · When both p and q are true
Conjunction requires both component propositions to be true.
↗ Sample · Week 3 transcript · §3.2Question 5 · In which case is p → q false?
CorrectYOUR ANSWER
C · p true, q false
CORRECT ANSWER
C · p true, q false
This is the only false case for the material conditional.
↗ Sample · Week 3 transcript · §3.3Keep lesson progress separate