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    • Four white pieces (the mice) are placed on one side of a chessboard, and one black piece (the cat) is placed at the opposite side. The game is played by the following rules:

      black wins if it reaches the opposite side;
      white wins if it blocks black in such a way that black cannot make any move anymore;
      only diagonal moves (of length 1) on empty squares are allowed;
      white only moves forward;
      black can move backward and forward;
      black may make the first move, then white makes a move, and so on.

      Is this game computable (i.e. is it possible to decide beforehand who wins the game, no matter how hard his opponent tries to avoid this)?

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    • Assuming year 1 started on Sunday, it can be shown that only some days are possible as a century’s final day. What are these days?

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    • Here you see a pool with six happy frogs. You must exchange the positions of the brown and green frogs, using the following rules:

      a frog can only jump to an empty water lily;
      a frog can only jump over at most one other frog, that has another color;
      a frog can only jump forward (so the green frogs jump right and the brown frogs jump left).

      How can this be done?

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    • Jacob, his daughter, and the evil Joju lived in a city. Jacob was in debt to Joju, and Joju had his eye on Jacob’s daughter. Joju made a proposition: he would place a black stone and a white stone in a bag, and Jacob’s daughter would pick one out in front of the People of city. If she drew the white stone, Joju would forgive Jacob’s debt. If she drew the black stone, Joju would marry Jacob’s daughter. Jacob had no choice but to agree. Jacob’s daughter has no reason to trust Joju, and believes that he will place two black stones in the bag. How can she get out of marrying Joju?

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    • There are 20 coin machines, each of which produce the same kind of coin. you know how much a coin is supposed to weigh. One of the machines is defective, in that every coin it produces weighs 1 ounce less than it is supposed to. you also have an electronic weighing machine. how can you determine which of the 20 machines is defective with only one weighing? (by one use, means you put a bunch of stuff on the machine and read a number, and that’s it, you are not allowed to accumulate weight onto the machine and watch the numbers ascend, because that’s just like multiple weighing). you are allowed to crank out as many coins from each machine as you like.

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    • You have 10 coins….arrange them in 4 straight lines such that each line contains 4 coins, without picking up the pencil.

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    • After the local Puzzle fry Derby, some friends were telling everyone who had won.

      Unfortunately, the friends were having problems with their memories and in the course of the evening they changed their minds a number of times.

      In summary they made the following statements:
      Alan said:
      Steve Short won on Quick Cloud.
      Tim Tiny won on Morning Sunset.
      Dave Diddy won on Quick Cloud.

      Brian said:
      Simon Small won on Blue Paws.
      Dave Diddy won on Quick Cloud.
      Steve Short won on Morning Sunset.

      Charles said:
      Tim Tiny won on Blue Paws.
      Simon Small won on Blue Paws.
      Simon Small won on Morning Sunset.

      Derek said:
      Tim Tiny won on Quick Cloud.
      Dave Diddy won on Morning Sunset.
      Simon Small won on Blue Paws.

      However, none of the statements were fully true.

      In fact, only six of the statements were exactly half true (i.e. either the person won, or the horse did), the rest were false.

      Can you determine who won and which horse they were riding?

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    •  

      I start with the letter “S”.
      I have something to do with missiles and water.
      I am commonly used on submarines and production/power plants.
      I am some sort of storage.
      I have 4 letters.
      What am I?

       

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