In a secret society, members wear cloaks of three colors: Crimson, Azure, and Emerald. No two members standing next to each other in a ritual circle wear the same color. If Member 1 wears Crimson and Member 3 wears Emerald, and there are only 4 members total in the circle, what color must Member 4 wear?
Crimson
Let the positions be 1, 2, 3, 4 in a circle. Position 1 is Crimson, Position 3 is Emerald. Position 2 must be different from 1 and 3, so it must be Azure. Position 4 sits between Position 3 (Emerald) and Position 1 (Crimson). Therefore, Position 4 cannot be Emerald or Crimson, leaving Azure? Wait, let's check: Position 4 is adjacent to 3 (Emerald) and 1 (Crimson). Since it cannot match its neighbors, it must be Azure? But wait, 2 is Azure. Can two non-adjacent members share a color? Yes, the rule is 'no two members standing next to each other'. So if 2 is Azure, 4 cannot be Azure. Thus, 4 must be Crimson.
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.
More logic riddles
A silent clock hangs on a wall. It has no hands, no face, and no numbers. Yet, every single hour, it chimes a chime that echoes through the room. How does it tell time?
A room has four corners. In each corner sits a cat. Each cat sees three other cats across the room. How many total cats are in the room?
You have three closed boxes labeled 'Apples', 'Oranges', and 'Mixed'. Every single box is known to be incorrectly labeled. You may draw one piece of fruit from only ONE box without looking inside. Which box should you pick from to figure out the correct contents of all three boxes?
A spy leaves a message using three colored buttons: Red, Blue, and Green. The message must follow three rules: 1) The Red button cannot be placed immediately next to the Blue button. 2) The Green button must be placed somewhere to the right of the Red button. 3) Exactly three buttons are pressed in a sequence. What is the only valid sequence of buttons from left to right?
A wizard brews a potion using two hourglasses to time a 9-minute spell. One hourglass runs out in 4 minutes, and the other runs out in 7 minutes. How can the wizard measure exactly 9 minutes using only these two hourglasses?
In a dark room, you have a drawer containing 10 black socks and 10 white socks. What is the minimum number of socks you must pull out blindly to guarantee you have at least one matching pair of any color?