A prisoner is facing three doors. He is told that behind one of them, there is a lady, and behind the other two there are tigers. The sign on the door of the room containing the lady is true. At least one of the other signs is false, maybe both.
The signs say
Room I A tiger is in room II
Room II A tiger is in this room
Room III A tiger is in room I
Assuming that the prisoner gets eaten immediately when opening the door to a room containing a tiger, and moreover assuming that he wants to keep alive, which door should he open?
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Prisoner should open room no 1
Tiger is in room no 2 and 3.
And as per the hint room no 1 sign is correct, which means tiger is in room 2, and 3rd sign is incorrect
Room III
Girl is in room 1
Room 1
IF the lady is in room 1 the sign in room 1 and 2 is true but 3 is false
IF the lady is in room 2 the sign in room 2 itself is false
IF the lady is in room 3 all signs are true
Since the question states “The sign on the door of the room containing the lady is true. At least one of the other signs is false, maybe both” the lady is in room 1
Room 1
IF the lady is in room 1 then the statement in room 2 is true but room 3 is false
IF the lady is in room 2 then the statement in room 2 itself is false
IF the lady is in room 3 all statements become true
Since the question states the door of the lady has true statement and also that at least one statement is false the lady is in room 1
Room no III