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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

Hard

Albert knows the month, Bernard knows the day. Can you determine Cheryl’s birthday from their conversation?

logic

Prisoners and the Light Switch

Hard

100 prisoners are isolated, but one light switch may let them prove everyone has visited the room.

logic

Mutilated Chessboard

Hard

Can 31 dominoes cover a chessboard with two opposite corners removed?

logic

Pirate Gold Division

Hard

Five pirates must divide 100 gold coins. What should the smartest pirate propose to survive and keep the most?

logic

100 Prisoners and 100 Boxes

Hard

100 prisoners may each open 50 boxes to find their own number. Can a strategy save them all?

logic

Blue-Eyed Islanders

Hard

Everyone can see others’ eye colors, but not their own. One public statement changes everything.

logic

Burning Ropes Timer

Hard

Two ropes each burn for 60 minutes, but not at a uniform rate. Can you measure exactly 45 minutes?

logic

Prisoners and Hats

Hard

A line of prisoners must guess their hat colors. Can they use strategy to save as many people as possible?

logic

Three Gods Riddle

Hard

Three gods are named True, False, and Random. Can you identify each of them using only three yes-or-no questions?

logic

Monty Hall Problem

Hard

You choose 1 of 3 doors. The host opens a goat door. Should you switch or stay?

logic

Counterfeit Coin Puzzle

Hard

One of 12 coins is counterfeit and may be heavier or lighter. Can you find it in just 3 weighings?

logic

Poisoned Wine Bottles

Hard

You have 1000 wine bottles, one is poisoned, and 10 test subjects. Can you find the poisoned bottle in one round?

logic