Four people stand in line facing forward: Dana (back), Eli (middle-back), Faye (middle-front), and Gabe (front). They know there are 2 black hats and 2 white hats in total. Dana sees Eli and Faye. Eli sees Faye. Faye sees no one, and Gabe is blindfolded. Faye is wearing a white hat. Dana is asked if she knows her hat color and says 'No'. Hearing this, Eli deduces his own hat color. What color is Eli's hat?
Black
Dana could only know her own hat color if both Eli and Faye were wearing the same color hat (leaving the remaining color for Dana). Because Dana said 'No', Eli realizes that his hat must be a different color from Faye's. Since Faye's hat is white, Eli knows his hat must be black.
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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