In a secret society, members wear either red cloaks or blue cloaks. Every member with a red cloak always tells the truth, and every member with a blue cloak always lies. You meet two members, X and Y. X says, 'We both wear blue cloaks.' What color cloak does Y wear?
Red
X claims they both wear blue cloaks. If X wore a red cloak, he must tell the truth, meaning they both wear blue, which contradicts him wearing red. Therefore, X must wear a blue cloak (and is lying). Since X's statement that 'We both wear blue' is a lie, it is false that they both wear blue. Since X is blue, Y must NOT be blue. Therefore, Y wears a red cloak.
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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