Three friends—Alice, Ben, and Chloe—each wore a different colored hat to a party: yellow, orange, and purple. Alice did not wear yellow. Ben wore either orange or purple. Chloe was heard telling the person in the purple hat that her own hat was not orange. What color hat did Ben wear?
Purple
Chloe spoke to the person in the purple hat, meaning Chloe is not wearing purple. Chloe told that person her own hat is not orange, meaning Chloe's hat is not orange either. Since Chloe's hat is neither purple nor orange, Chloe wore yellow. Alice did not wear yellow, so Alice must have worn orange (since Chloe has yellow). That leaves purple for Ben.
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: Hard. More like this: Logic riddles with answers or try Einstein's Logic Grid for a different kind of puzzle.
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