In a small tournament of three players (Anna, Bob, and Carl), every player plays every other player exactly once. A win gives 3 points, a draw gives 1 point, and a loss gives 0 points. At the end, Anna has 6 points, Bob has 1 point, and Carl has 1 point. Did Bob and Carl draw their match?
Yes
Anna earned 6 points, meaning she won both of her matches (against Bob and Carl). This leaves the single match between Bob and Carl. Since Bob and Carl each finished with 1 total point, their head-to-head match must have ended in a draw (1 point each).
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
Three colored houses (Red, Blue, Green) stand side-by-side. The dog lives in the house directly to the left of the cat's house. The bird lives in the Green house. The Red house is to the left of the Blue house, which is in the middle. Where does the dog live?
The pumpkin is smaller than the corn cob, and the corn cob is smaller than the dinner roll. Which one is the biggest?
What has keys that open no locks, space with no rooms, and allows you to enter without moving?
A merchant has 9 coins that look identical, but one is counterfeit and weighs slightly less than the rest. Using a two-pan balance scale without weights, what is the minimum number of weighings required to guarantee finding the counterfeit coin?
A drawer contains 10 black socks and 10 white socks mixed together in total darkness. What is the minimum number of socks you must pull out to guarantee you have at least one matching pair of any color?
A light bulb inside a closed room is controlled by three switches outside the room labeled 1, 2, and 3. You start outside with all switches off. You can flip the switches however you like, but you may enter the room only once. How can you determine with certainty which switch controls the light bulb?

