Truth-tellers and liars — AMC & AIME Problems

Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Truth-tellers and liars — a logic concept — each with a professionally curated solution, many with a video solution too, from LIVE by Po-Shen Loh. Browse all concepts or the full past-contest archive.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

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These problems’ difficulty ratings come from real solve attempts on our platform. Tap a band or a contest to filter the list below, and tap a selected band again to include all difficulties. See the full difficulty guide.

1600
AMC 10

2010 AMC 10A Problem 15 2022 AMC 10A Problem 12

More logic concepts

counterexamplecryptarithmlogical deductionmagic square