Announcement

Collapse
No announcement yet.

The Logic Puzzles Topic

Collapse
X
 
  • Filter
  • Time
  • Show
Clear All
new posts

    The Logic Puzzles Topic

    Anyone like these things? I'm a freaking addict. I think I'm going to start a compilation here - a sort of "greatest hits" for the logic puzzles world. If you're a fan, take a crack at some of these. If you've got any of your own favorites, post away.

    I'll keep every puzzle in this first post, so if you want to try and solve them, you can do so without worrying about the answer being given away.

    Current Leaderboard

    1: Jaerys - 13 puzzles solved
    2: inragedcow - 8 puzzles solved
    3: Caciss - 5 puzzles solved?
    4: Smurf Taco - 3 puzzles solved
    5: Altoecko - 3 puzzles solved
    6: Valkysas - 2 puzzles solved
    7. Big Rick Cook - 2 puzzles solved

    For starters, here's a couple GREAT logic mazes created by Robert Abbott, a computer programmer turned puzzle/game designer:

    Theseus and the Minotaur

    Click here to play. Upon solving a maze, a four letter code will be given to you. Post that for proof of completion.

    --- First to solve ---
    maze 01: Smurf Taco
    maze 02: Smurf Taco
    maze 03: Smurf Taco
    maze 04: Jaerys
    maze 05: Jaerys
    maze 06: Jaerys
    maze 07: Jaerys
    maze 08: Jaerys
    maze 09: Jaerys
    maze 10: Jaerys
    maze 11: Jaerys
    maze 12: Jaerys
    maze 13: altoecko
    maze 14: Jaerys
    maze 15: Jaerys
    Eyeball Mazes

    Click here to play. Upon solving a maze, a code will be given to you. Post that for proof of completion.

    --- First to solve ---
    maze 1: inragedcow
    maze 2: inragedcow
    maze 3: inragedcow
    maze 4: inragedcow
    maze 5: inragedcow
    maze 6: inragedcow
    maze 7: inragedcow
    maze 8: inragedcow
    maze 9: Big Rick Cook
    maze 10: Big Rick Cook
    maze 11: none
    maze 12: none
    Alice Mazes

    Click here to play. Upon solving a maze, a code will be given to you. Post that for proof of completion.

    --- First to solve ---
    maze 01: none
    maze 02: none
    maze 03: none
    maze 04: none
    maze 05: none
    maze 06: none
    maze 07: none
    maze 08: none

    And here's some actual puzzles.

    3 Heads, 5 Hats --- First to solve: Caciss

    In a small village in the middle of nowhere, three innocent prisoners are sitting in a jail. One day, the cruel jailer takes them out and places them in a line on three chairs, in such a way that man C can see both man A and man B, man B can see only man A, and man A can see none of the other men. The jailer shows them 5 hats, 2 of which are black and 3 of which are white. After this, he blindfolds the men, places one hat on each of their heads, and removes the blindfolds again. The jailer tells his three prisoners that if one of them is able to determine the color of his hat within one minute, all of them are released. Otherwise, they will all be executed. None of the prisoners can see his own hat, and all are intelligent. After 59 seconds, man A shouts out the (correct) color of his hat!

    The Question: What is the color of man A's hat, and how does he know?
    Colorful Dwarfs --- First to solve: Valkysas

    In a distant, dark forest, lives a population of 400 highly intelligent dwarfs. The dwarfs all look exactly alike, but only differ in the fact that they either have red eyes or blue eyes. There are 250 dwarfs with red eyes and 150 dwarfs with blue eyes. Striking however, is that the dwarfs don't know these numbers themselves and that nobody knows what the color of his own eyes are (after all, there are no mirrors in the forest). Because speaking of eye color is extremely taboo in the dwarf culture, nobody ever tells anyone else what color eyes they have. But the dwarfs do know that there is at least one dwarf with red eyes.

    During a certain period of their year, there is a big party in this village, spanning many days, to which initially all dwarfs will go. However, this party is only intended for dwarfs with blue eyes. If a dwarf realizes that he has red eyes, he is allowed to stay for the duration of that day, but must never again return.

    The Question: How many days does it take before there are no more dwarfs with red eyes left at the party?
    Names & Numbers --- First to solve: none

    Four words add up to a fifth word numerically:

    mars
    venus
    uranus
    saturn
    -------- +
    neptune

    Each of the ten letters (m, a, r, s, v, e, n, u, t, and p) represents a unique digit in the range 0 .. 9. Furthermore, numbers 1 and 6 are being used most frequently.

    The Question: What number does neptune represent?
    (note: like any math problem, these should all be right-aligned)
    Number Sequence 1 --- Posted by: Garr123 --- First to solve: altoecko

    Continue the sequence of numbers:

    1, 11, 21, 1211, 111221, 312211, ...
    The Bridge --- First to solve: Caciss

    Four men want to cross a bridge. They all begin on the same side. It is night, and they have only one flashlight with them. At most two men can cross the bridge at a time, and any party who crosses, either one or two people, must have the flashlight with them.
    The flashlight must be walked back and forth: it cannot be thrown, etc. Each man walks at a different speed. A pair must walk together at the speed of the slower man. Man 1 needs 1 minute to cross the bridge, man 2 needs 2 minutes, man 3 needs 5 minutes, and man 4 needs 10 minutes. For example, if man 1 and man 3 walk across together, they need 5 minutes.

    The Question: How can all four men cross the bridge in 17 minutes?
    The Logical Hats Puzzle --- First to solve: Jaerys

    Logicians A, B and C each wear a hat with a positive integer on it such that the number on one hat is the sum of the numbers on the other two. They can see the numbers on the other two hats but not their own. They are given this information and asked in turn if they can identify their number. In the first round A, B and C each in turn say they don't know. In the second round A is first to go and states his number is 50.

    The Question: What numbers are on B and C?
    Connect the Dots --- First to solve: altoecko

    Join these 9 dots with 4 straight lines without lifting the pen.
    Labels Puzzle --- First to solve: Valkysas

    You are presented with three closed boxes, labelled "Apples", "Oranges", and "Apples and Oranges". Further, you are told that all the labels are wrong. By looking at a single fruit from one box you can correctly label the three boxes. How?
    Happy Handshaking --- First to solve: Caciss

    Jack and his wife went to a party where four other married couples were present. Every person shook hands with everyone he or she was not acquainted with. When the handshaking was over, Jack asked everyone, including his own wife, how many hands they shook. To his surprise, Jack got nine different answers.

    The Question: How many hands did Jack's wife shake?

    Domino Puzzle --- First to solve: none

    Try to fill the total board with dominoes of size 2x1 (horizontally or vertically) so that there are no overlaps, no gaps, and no dominoes crossing the borders.


    The Question: Is this possible? If so, do it. If not, prove it.
    Let's Make a Deal --- First to solve: Caciss

    You've made it to the final round of a game show, and you're presented with three doors. Behind one of them is a hefty $1,000,000. Behind the other two doors there are goats.

    Once you select a door, the game show host, who knows what's behind each door, opens one of the other two doors and deliberately reveals a goat. Then he asks you if you would like to switch doors.

    What should you do? Should you change your mind or stay with your first choice? Or does it not matter?

    Too Many Birthday Topics --- First to solve: Jaerys

    Every time it's a Pavilion member's birthday, someone makes a "Happy Birthday" topic for that person.

    What is the minimum number of Pavilion members needed so that it is more likely than not that there will eventually be two birthday topics made on the same day?
    Pavilion Puzzle Adventures --- First to solve: none

    You are on a long, hard journey from the old Pavilion website to the new one. After days of traveling, you come across The Staffmaster and his girlfriend, who are standing at a fork in the road. You know that one path leads to the new Pavilion, while the other leads to RPGM Magazine. However, the signpost has gone missing, so there is no way to tell which path is which.

    You have no choice but to ask The Staffmaster and his girlfriend for directions. You know that The Staffmaster's girlfriend always tells the truth, and that The Staffmaster always lies. However, The Staffmaster and his girlfriend look the same, talk the same, and are in fact completely indistinguishable from one another.

    What is the fewest number of questions you need to ask The Staffmaster and/or his girlfriend to determine which path leads to the Pavilion, and what would these questions be?

    Utility Connections --- Posted by: Garr123 --- First to solve: Caciss?

    There are three new houses that have just been built in the area, and they need to get connected with water, electricity, and gas lines before anyone can move in. You are in charge of connecting each utility (A, B, and C) to each house (1, 2, and 3). However, none of these wires/pipes can cross, and they all must be at the same depth underground.



    Can these connections properly be made? If so, do it. If not, prove it.
    Wagon Works --- First to solve: none

    Below you see a small shunting-yard with two wagons (blue and green) and one locomotive (red). The wagons have a length of 5 meters, and the locomotive has a length of 10 meters. The dead end between the buffer-stop and the switch on the lower left has a a length of 5 meters (so the locomotive cannot change tracks on the lower left switch), and the dead end between the switch and the buffer-stop on the lower right has a a length of 15 meters. The locomotive can move forward and backward, and can both pull and push wagons.



    The Question: How must the locomotive shunt the wagons, to arrive in a situation where the wagons have changed places and the locomotive is back in its starting position?
    Little Lies --- First to solve: none

    Richard is a strange liar. He lies on six days of the week, but on the seventh day he always tells the truth. He made the following statements on three successive days:

    Day 1: "I lie on Monday and Tuesday."
    Day 2: "Today, it's Thursday, Saturday, or Sunday."
    Day 3: "I lie on Wednesday and Friday."

    The Question: On which day does Richard tell the truth?
    Cipher Square --- First to solve: none

    The ciphers 1, 2, 3, 4, 5, 6, 7, 8, and 9 must be put in this square, in such a way that the sums of the numbers in each row, column, and diagonal are equal.

    The Question: How should the numbers be arranged in the square?
    Of course, you can find all the solutions to these online, but that'd be cheating now, wouldn't it? Also, if you've heard any of these before, it might be nice of you to hold out on giving away the solution. I'll provide the answers eventually if there's a stumper.

    Anyone else got any brain busters?
    Last edited by Czechs Mex; 04-21-2005, 02:36 AM.

    #2
    Re: The Logic Puzzles Topic

    He doesn’t do what you would do if you were a Minotaur
    HOW DOES HE KNOW?

    Comment


      #3
      Re: The Logic Puzzles Topic

      Same one I posted last time we did this, if you know the answer from that one don't ruin it.

      Continue the sequence on numbers:

      1,11,21,1211,111221,312211......
      "At first it just looked like a picture of a bunch of lily pads, but then I started scraping at it with my pocket knife and the whole painting just sort of spoke to me," Schmidt said. "For the first time, I finally understand what Monet was trying to get across in her work."

      Comment


        #4
        Re: The Logic Puzzles Topic

        Colorful Dwarfs

        In a distant, dark forest, lives a population of 400 highly intelligent dwarfs. The dwarfs all look exactly alike, but only differ in the fact that they are wearing either a red or a blue hat. There are 250 dwarfs with a red hat and 150 dwarfs with a blue hat. Striking however, is that the dwarfs don't know these numbers themselves and that none of them knows what the colour of his hat is (there are for example no mirrors in this forest). But the dwarfs do know that there is at least one dwarf with a red hat.

        During a certain period of their year, there is a big party in this village, to which initially all dwarfs will go. However, this party is only intended for dwarfs wearing a blue hat. Dwarfs with a red hat are supposed never to return to the party again, as soon as they know that they are wearing a red hat.

        The Question: How many days does it take before there are no more dwarfs with a red hat left at the party?
        There is no information telling us about days or how many hats are guessed in a day, so there is no way to answer it. Way to post an incompleate question.


        I kid. I kid. It takes them 12 days.

        Comment


          #5
          Re: The Logic Puzzles Topic

          Colorful Dwarfs

          In a distant, dark forest, lives a population of 400 highly intelligent dwarfs. The dwarfs all look exactly alike, but only differ in the fact that they are wearing either a red or a blue hat. There are 250 dwarfs with a red hat and 150 dwarfs with a blue hat. Striking however, is that the dwarfs don't know these numbers themselves and that none of them knows what the colour of his hat is (there are for example no mirrors in this forest). But the dwarfs do know that there is at least one dwarf with a red hat.

          During a certain period of their year, there is a big party in this village, to which initially all dwarfs will go. However, this party is only intended for dwarfs wearing a blue hat. Dwarfs with a red hat are supposed never to return to the party again, as soon as they know that they are wearing a red hat.
          The Question: How many days does it take before there are no more dwarfs with a red hat left at the party?
          A few minutes.. The guards at the main entrance aren't letting anyone with a red hat in.. seeing how there's a lot of them red hat wearin fools, it takes time..
          So yeah.. Guards, man.



          As for the fist puzzle..
          The guy is psychic (proof was found in his jacket: a 20$ official "Membership of the Psychics" card..)

          Possible variations of the three doods wearing hats:

          B = black
          W = white

          B - W - B
          W - W - B
          W - B - W
          B - B - W
          W - W - W

          Take your pic.
          Last edited by OmegaD3k; 04-16-2005, 04:59 AM.

          Comment


            #6
            Re: The Logic Puzzles Topic

            You missed a couple hat variations there:
            BWW
            WBB

            There actually are legitimate answers to all these. I know Alzar figured out the "5 heads, 3 hats" problem last time I posted it. The colorful dwarfs one is insane. It took me like a week before I had any clue of where to go with it (although someone taking a Discrete Mathematics course right now might be able to solve it. FUNK.)

            Garr, I've already seen the answer to that number sequence problem, so I won't give it away. But I really like that one.
            Last edited by Czechs Mex; 04-16-2005, 01:34 PM.

            Comment


              #7
              Re: The Logic Puzzles Topic

              That's the only answer I know Garr.
              Do what you wish

              Comment


                #8
                Re: The Logic Puzzles Topic

                Here's another:
                The Bridge --- First to solve: Caciss

                Four men want to cross a bridge. They all begin on the same side. It is night, and they have only one flashlight with them. At most two men can cross the bridge at a time, and any party who crosses, either one or two people, must have the flashlight with them.
                The flashlight must be walked back and forth: it cannot be thrown, etc. Each man walks at a different speed. A pair must walk together at the speed of the slower man. Man 1 needs 1 minute to cross the bridge, man 2 needs 2 minutes, man 3 needs 5 minutes, and man 4 needs 10 minutes. For example, if man 1 and man 3 walk across together, they need 5 minutes.

                The Question: How can all four men cross the bridge in 17 minutes?
                And another:
                The Logical Hats Puzzle --- First to solve: none

                Logicians A, B and C each wear a hat with a positive integer on it such that the number on one hat is the sum of the numbers on the other two. They can see the numbers on the other two hats but not their own. They are given this information and asked in turn if they can identify their number. In the first round A, B and C each in turn say they don't know. In the second round A is first to go and states his number is 50.

                The Question: What numbers are on B and C?
                I don't know why so many of these deal with hats, but that last problem has stumped me for quite a long time now. The bridge one isn't too bad, though.
                Last edited by Czechs Mex; 04-17-2005, 06:40 PM.

                Comment


                  #9
                  Re: The Logic Puzzles Topic

                  Double post, wtf m8.
                  Last edited by Armored; 04-16-2005, 02:27 PM.

                  Comment


                    #10
                    Re: The Logic Puzzles Topic

                    Garr's one is pretty simple. Those ****ing dwarves are idiots apparently though.. 1.67 days? No, I don't know

                    Comment


                      #11
                      Re: The Logic Puzzles Topic

                      Yeah, to make the dwarves seem less idiotic I changed the red/blue hats to red/blue eyes. It's the same problem, obviously, except now you don't have to hate the dwarves for not just taking off their hat and checking.

                      I found a new site with a ton of good puzzles, so I've got a whole new inventory here. If you haven't seen this one before, give it a try:

                      Connect the Dots --- First to solve: none

                      Join the following 9 dots with 4 straight lines without lifting the pen.
                      Last edited by Czechs Mex; 04-17-2005, 03:21 PM.

                      Comment


                        #12
                        Re: The Logic Puzzles Topic

                        OMG THINK OUTSIDE THE BOX.
                        Do what you wish

                        Comment


                          #13
                          Re: The Logic Puzzles Topic

                          I like the Minotaur thing, 'cause it's so open to trail and error.

                          Comment


                            #14
                            Re: The Logic Puzzles Topic

                            If you give me your passcode and level completed from any Theseus or Eyeball maze, I'll keep track of who beat which level first.

                            Labels Puzzle --- First to solve: none

                            You are presented with three closed boxes, labelled "Apples", "Oranges", and "Apples and Oranges". Further, you are told that all the labels are wrong. By looking at a single fruit from one box you can correctly label the three boxes. How?

                            Comment


                              #15
                              Re: The Logic Puzzles Topic

                              take a fruit from apples and oranges. if it's an apple, you label that box apple. if its an orange, you label it orange. then you just swap the other two labels.



                              Comment

                              Working...
                              X