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Question Number 854 by 123456 last updated on 26/Mar/15
there a room with 3 doors, only one  to exit, there are one people, you can  talk to her 3 question and he only will  answer you truth in only one question  talking a lie in the other two question,  but you dont know what the question  wich he sayed the truth, how a people  exit this room if possible?
therearoomwith3doors,onlyonetoexit,thereareonepeople,youcantalktoher3questionandheonlywillansweryoutruthinonlyonequestiontalkingalieintheothertwoquestion,butyoudontknowwhatthequestionwichhesayedthetruth,howapeopleexitthisroomifpossible?
Answered by prakash jain last updated on 26/Mar/15
Embedded question works in this case also  doors A, B nnd C.  Q1: Is door A exit?  E(Q1): If I ask you Q1 will you say yes.  Q2: Is door B exit?  E(Q2): If I ask you Q2 will you say yes.  The questions E(Q1) and E(Q2) will  establish A and B (hence C).  So questions E(Q1) qnd E(Q2) are only  2 questions that are need.
EmbeddedquestionworksinthiscasealsodoorsA,BnndC.Q1:IsdoorAexit?E(Q1):IfIaskyouQ1willyousayyes.Q2:IsdoorBexit?E(Q2):IfIaskyouQ2willyousayyes.ThequestionsE(Q1)andE(Q2)willestablishAandB(henceC).SoquestionsE(Q1)qndE(Q2)areonly2questionsthatareneed.

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