Advanced Discrete Mathematics

QUESTION 1 / 20 · LOGICEasy

If A is true and B is false, what is A ∧ B (A and B)?

TRUTH-TABLE CHECKER

Do these two statements mean the same thing?

Two statements are logically equivalent if they're true in exactly the same situations. Pick one for each side; the table checks all four combinations of A and B. Rows where they disagree turn red.

LEFT STATEMENT

AB¬(A ∧ B)¬A ∧ ¬B

TTFFTFTFFTTFFFTT

Not equivalentThey disagree when A = T, B = F and when A = F, B = T. One counterexample row is enough to show they're different.

RIGHT STATEMENT

Famous pairs:

What this discrete mathematics test covers, in short

Twenty multiple-choice questions at first-year university level, four on each of five topics: logic, sets and functions, proof techniques, number theory, and graph theory. It's the maths foundation of most computer science degrees.

Notation: ∧ and, ∨ or, ¬ not, → implies. The test is our own and not normed.

By What's Your IQ · Reviewed 5 Oct 2026

Format: 20 multiple-choice questions
Level: First-year university
Bonus: Truth-table equivalence checker
Pairs with: Algorithms and data structures

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If A is true and B is false, what is A ∧ B (A and B)?

Do these two statements mean the same thing?

What this discrete mathematics test covers, in short

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