Monday, 8 February 2016

logical deduction - Nine togglers, one truth teller, and only a single question



You are standing in front of ten people, one of which is a truth-teller while the other nine are togglers . (A toggler is a person who toggles between the-truth and the-lie for every question asked.) You have no clue who the truth-teller is and who the togglers are.


You are given the chance to ask one and only one question to any, but only one of the ten people. From the provided answer you must be able to deduce with certainty the identity of the truth teller.


Question: So what is that question you will be asking?



Answer



"Which people here are truth-tellers"?


If the person you asked is a truth teller, he will indicate himself.


If he is a toggler in "truth" mode, he will indicate the truth teller.


If he is a toggler in "lie" mode, he will indicate the 9 togglers (this is my interpretation of telling "the-lie", and note they only toggle after each question and this is a single question). But as you know there is only one truth teller you know it must be the unindicated person.


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