The chamber of secrets
There are 3 doors, one of which leads to the chamber of secrets. Harry knows that none of the labels on the door are correct.
Door 1: The chamber of secrets is here.
Door 2: The chamber of secrets is behind door 1.
Door 3: The chamber of secrets is behind door 2.
Where is the chamber of secrets?
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1 solution
If all the doors are lying, the problem is easy. The first door can't be real because Door 1 and Door 2 both say that that is the real door. Door 3 says that Door 2 is the real door meaning that it is not really real. This leaves D o o r 3 to be real.