Brain games: puzzles, riddles, and logical games.
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A game with three dice Logic puzzles  Weight: 5 Liked the puzzle: 100% 26.12.2009
A MegaMind has three dice whose faces are marked with numbers 1,..,6. Some numbers can be repeated. He offers to play the game in which his opponent can choose any die, and the MegaMind will choose one of the remaining two. Then they discard the last die, and start rolling. Whoever rolls a lower number, pays the opponent a predetermined sum, say $1. In case of equality, the MegaMind lose. How did the MegaMind mark the dice if it is known that he plays this game nearly every day, and usually wins?
Comments:  3 | check your solution  
Mad Max Logic puzzles  Weight: 5 Liked the puzzle: 66% 12.01.2010
Mad Max is stuck in a desert. He has a vehicle with an empty 20 liter gas tank and three gas canisters containing 100 liters each. The vehicle cannot carry more than one canister at a time. Mad Max wants to get as far as possible from the starting point. The vehicle takes 1 liter of gas per mile. What is the maximal distance that Mad Max can travel one way? (The proof of optimality is not required).
Comments:  1 | check your solution  
Ladders with missing steps Logic puzzles  Weight: 5 Liked the puzzle: 100% 17.01.2010
To fix his roof, Megamind needs to climb up a ladder. He has found many ladders to choose from, but unfortunately some of them were missing steps. Megamind cannot climb a ladder if it is missing two or more steps in a row. Originally, all ladders had N steps, marked bottom to top. How many different ladders can Megamind climb?
Comments:  3 | check your solution  
Mad Max 2 Logic puzzles  Weight: 5 Liked the puzzle: 100% 29.01.2010
A circular road in a desert is 100 miles long. Some finite number of barrels are placed randomly along the road. These barrels contain a total of 100 liters of gasoline, but otherwise each barrel contains a random amount of gas. A car takes 1 liter of gas per mile. Can Mad Max (the driver) travel the entire circle in either direction if his car has an empty gas tank? He may start from any barrel.
Comments:  1 | check your solution  
A newspaper Logic puzzles  Weight: 0 Liked the puzzle: 100% 12.03.2011
A Megamind has two boys. One day, both of them were behaving so badly that the father decided to punish them. He left them standing on a single newspaper sheet so that neither boy could hit the other one. How did the Megamind do it?
Comments:  2 | check your solution  
Two chess players Logic puzzles  Weight: 0 Liked the puzzle: 100% 17.03.2011
Two chess players played five games each. They won and lost equal number of games, yet there were no ties. How could this happen?
Comments:  1 | check your solution  
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