India, Oct. 13 -- Problematics has occasionally had puzzles in which you cannot determine the complete set of variables, but can still settle specific questions with answers that remain the same in all possible circumstances. Some truth vs lie puzzles are like that.

The puzzle below, however, does not fall in that category as far as I can tell. It appears to have a unique set of answers: you can (a) establish the truth/falsehood of every statement given, (b) determine which person speaks the truth, lies or alternates between truth and falsehood, and (c) finally seal the question being asked at the end. If you find that multiple answers are possible, however, I shall be happy to be proved wrong, but please make sure that every statement i...