Logic puzzles and brain teasers
Train reasoning with classic and modern logic problems — by difficulty, with hints and full solutions.
All puzzles
Cheryl’s Birthday
HardAlbert knows the month, Bernard knows the day. Can you determine Cheryl’s birthday from their conversation?
Prisoners and the Light Switch
Hard100 prisoners are isolated, but one light switch may let them prove everyone has visited the room.
Mutilated Chessboard
HardCan 31 dominoes cover a chessboard with two opposite corners removed?
Pirate Gold Division
HardFive pirates must divide 100 gold coins. What should the smartest pirate propose to survive and keep the most?
100 Prisoners and 100 Boxes
Hard100 prisoners may each open 50 boxes to find their own number. Can a strategy save them all?
Blue-Eyed Islanders
HardEveryone can see others’ eye colors, but not their own. One public statement changes everything.
Burning Ropes Timer
HardTwo ropes each burn for 60 minutes, but not at a uniform rate. Can you measure exactly 45 minutes?
Prisoners and Hats
HardA line of prisoners must guess their hat colors. Can they use strategy to save as many people as possible?
Three Gods Riddle
HardThree gods are named True, False, and Random. Can you identify each of them using only three yes-or-no questions?
Monty Hall Problem
HardYou choose 1 of 3 doors. The host opens a goat door. Should you switch or stay?
Counterfeit Coin Puzzle
HardOne of 12 coins is counterfeit and may be heavier or lighter. Can you find it in just 3 weighings?
Poisoned Wine Bottles
HardYou have 1000 wine bottles, one is poisoned, and 10 test subjects. Can you find the poisoned bottle in one round?