Three friends—Alex, Blake, and Casey—wear hats of different colors: red, blue, and green. None of them wears the hat that matches their initials (e.g., Alex does not wear red). Blake looks at Casey, who is wearing the green hat. What color hat is Alex wearing?

The clock is smaller than the firework, and the firework is smaller than the party hat. Which one is the biggest?

Five identical lockboxes are lined up in a row. Box 1 contains a key, Box 2 is empty, Box 3 contains a key, Box 4 is empty, and Box 5 contains a key. If you move one box to a different position in the line, you can make it so no two boxes containing keys are next to each other. Which box do you move?

I am a small paper note you pass to a friend that says "I like you." What am I?

A bag contains red and blue marbles. If you draw two marbles at random without replacement, the probability that both are red is exactly 1/2. What is the smallest possible total number of marbles in the bag?

Four people need to cross a dark, fragile bridge at night with one flashlight. The bridge holds at most two people at a time, moving at the speed of the slower person, and someone must return the flashlight. Person A takes 1 minute, B takes 2 minutes, C takes 5 minutes, and D takes 10 minutes. What is the fastest total time to get everyone across?

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?