Three gods A, B, and C are called, in some order, True, False, and Random. True always speaks truly, False always speaks falsely, but whether Random speaks truly or falsely is a completely random matter. The gods understand English, but will answer all questions in their own language, in which the words for “yes” and “no” are “da” and “ja,” in some order. You do not know which word means which.
Your task is to determine the identities of A, B, and C by asking three yes-no questions; each question must be put to exactly one god.
What an intriguing subject. We've had logic in high school, but I don't remember it being nearly as interesting. In fact, I more-less hated it because it was too abstract for my age at the time.