1. The Fox, the Chicken, and the Grain: A farmer needs to transport a fox, a chicken, and a sack of grain across a river in a boat. The boat can only carry one of these items at a time. If left alone, the fox would eat the chicken, or the chicken would eat the grain. How can the farmer get all three across the river safely?
2. The Three Jugs Puzzle: You have three jugs of different sizes, each with a different capacity. One jug holds exactly three liters of water, another holds five liters, and the third holds eight liters. You need to measure out exactly four liters of water. How can you do it?
3. The Tower of Hanoi: You have three rods and a number of disks of different sizes. The disks are stacked on one rod in descending order of size, with the largest disk at the bottom. The goal is to move all the disks to another rod, following two rules: 1) you can only move one disk at a time, and 2) you can never place a larger disk on top of a smaller disk. How can you do it?
4. The Water Jug Riddle: You have two jugs, one with a capacity of five liters and the other with a capacity of three liters. You need to measure out exactly four liters of water. How can you do it?
5. The Clock Puzzle: You have a clock with three hands: a long hand, a medium hand, and a short hand. The long hand points to the number 12, the medium hand points to the number 6, and the short hand points to the number 9. What time is it?
6. The Egg Drop Puzzle: You have two eggs and a tall building. You need to find out which floor of the building the eggs will break when dropped from the top. The only way to do this is to drop the eggs from different floors, one at a time. How can you find the right floor with the least number of drops?
7. The Wolf, the Goat, and the Cabbage Puzzle: You have a wolf, a goat, and a cabbage. You need to get all three across a river in a boat. The boat can only carry one of these items at a time, and if left alone, the wolf would eat the goat, or the goat would eat the cabbage. How can you get all three across the river safely?
8. The Sliding Tiles Puzzle: You have a square board with 15 numbered tiles arranged in a random order. The goal is to arrange the tiles in numerical order, from left to right, top to bottom. The only way to do this is to slide the tiles around the board. How can you do it?
9. The Prisoner’s Dilemma: You and a friend are arrested and placed in separate cells. You are told that if one of you confesses and the other does not, the one who confesses will be set free and the other will be sentenced to 10 years in prison. If both of you confess, you will both be sentenced to five years in prison. How can you maximize your chances of being set free?
10. The Tower of Brahma: You have 64 disks of different sizes. The goal is to move all the disks from one rod to another, following three rules: 1) you can only move one disk at a time, 2) you can never place a larger disk on top of a smaller disk, and 3) you can never have more than one disk on a single rod. How can you do it?