Question

Is it acceptable for anyone to solve this brain teaser?

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 completely random. You must determine the identities of A, B, and C by asking three yes-or-no questions, and each question must be posed to exactly one god. The gods understand English but will answer all questions in their own language. In their unknown language, the words for "yes" and "no" are "da" and "ja," in some order. You do not know which word means which.

Answer 1

To determine the identities of gods A, B, and C in the brain teaser, you can ask three yes-or-no questions to one god each. By carefully analyzing the responses, you can identify the True, False, and Random gods.

Solving the Brain Teaser

To determine the identities of gods A, B, and C, you must ask three yes-or-no questions to one god each. Here's a step-by-step approach:

1. Pick one god and ask them, 'If I were to ask one of the other gods if they are the True god, what would they say?'
2. Based on the response, you can determine the identity of this god. For example, if they reply 'ja,' then this god is False. If they reply 'da,' then they are the True god. If they reply inconsistently, they are Random.
3. Now, you can use the second question to any god to confirm their identity. You can ask, 'Is the True god A?' If they reply 'da,' then the god you are asking is True. If they reply inconsistently, they are Random. If they reply 'ja,' then they are False.
4. The identity of the remaining god can be determined by the third question. You can ask, 'Is the True god B?' If they reply 'da,' then the god you are asking is True. If they reply inconsistently, they are Random. If they reply 'ja,' then they are False.

By following this approach, you can accurately determine the identities of gods A, B, and C.