In a secret society, every member wears either a red cloak or a black cloak. Members with red cloaks always lie to outsiders, while members with black cloaks always tell the truth. You meet two members, X and Y. X says, 'We both wear red cloaks.' Y says, 'X wears a black cloak.' What color cloak does Y wear?
Red
If Y were black (truth-teller), then X would wear a black cloak. But if X wore a black cloak, X would be a truth-teller and could not say 'We both wear red cloaks' (since Y is black). Thus, Y must be red (liar).
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.
More logic riddles
A farmer has 17 sheep. All but 9 run away during a storm. How many sheep does the farmer have left?
A clock strikes 6 times in 5 seconds. Assuming the time between each strike is constant, how many seconds does it take for the clock to strike 12 times?
Three chests—A, B, and C—contain coins. Chest A has twice as many coins as Chest B. Chest C has 5 fewer coins than Chest B. If the total number of coins across all three chests is 35, how many coins are in Chest A?
A vault requires a four-digit numerical code. The first digit is double the last digit. The second digit is three less than the first digit. The third digit is the sum of the first and second digits. If the last digit is 2, what is the code?
A silent archive contains three identical chests. One holds only gold, one only silver, and one a mix of both. Every single chest has a mislabel on the front: 'Gold', 'Silver', and 'Mixed'. You may draw just one item from a single chest to correct all three labels. Which chest do you choose?
A merchant has a bag of 8 identical-looking gold coins, but one is counterfeit and weighs slightly less than the others. Using a balance scale with no weights, what is the minimum number of weighings required to guarantee finding the counterfeit coin?