Five people stand in a straight line facing forward (Person 1 at the back, Person 5 at the front). Each wears either a Red or Blue hat. Person 1 sees four people ahead and states: 'I see exactly two Red hats and two Blue hats.' Person 2 sees three people ahead and states: 'I see exactly two Blue hats and one Red hat.' Assuming both speak truthfully, what color hat is Person 2 wearing?
Red.
Person 1 sees Persons 2, 3, 4, and 5 (2 Red, 2 Blue). Person 2 sees Persons 3, 4, and 5 (1 Red, 2 Blue). The only difference between the two groups is Person 2's own hat. Since the Blue hat count is 2 in both views, Person 2's hat must account for the missing Red hat.
About this riddle
Logic riddles give you a few facts and ask what must be true. List what you know, cross out what cannot be, and see what is left.
Difficulty: Medium. More like this: Logic riddles with answers or try Einstein's Logic Grid for a different kind of puzzle.
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