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The Three Switches

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  • J Jorgen Andersson

    Downstairs in a house are three identical on-off switches. One of them controls the lamp in the attic. The puzzle is to work out which switch controls the lamp. The rules are as follows. You are allowed to manipulate the switches all you like, and then you are allowed a single trip to the attic. How do you do it? To clarify: When you are downstairs there is no way to see into the attic, or see reflected light from the attic. Once you have gone to the attic you are not allowed back to the switches. <edit>you can also assume original state of all switches to be off.</edit><hint>Otherwise it won't work</hint> Note: If you already know the answer, or reads the newspaper where I nicked the puzzle from, then please don’t write it up immediately in the comments! Give those who have never heard it before a chance to suffer, I mean enjoy finding the solution.

    Wrong is evil and must be defeated. - Jeff Ello

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    patrickjadams1002
    wrote on last edited by
    #34

    correct answer assuming all the switches are in the OFF position to begin with is, since you only can make one trip and you dont know which one it is. You turn them ALL on, and then can go. This is a waste of electricity but NOT a waste of time. so depending on the time frame, you can play with switches and guess/deduce with one it "probably" is but .... turning them ALL on, solves the puzzle. :)

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    • J Jorgen Andersson

      Downstairs in a house are three identical on-off switches. One of them controls the lamp in the attic. The puzzle is to work out which switch controls the lamp. The rules are as follows. You are allowed to manipulate the switches all you like, and then you are allowed a single trip to the attic. How do you do it? To clarify: When you are downstairs there is no way to see into the attic, or see reflected light from the attic. Once you have gone to the attic you are not allowed back to the switches. <edit>you can also assume original state of all switches to be off.</edit><hint>Otherwise it won't work</hint> Note: If you already know the answer, or reads the newspaper where I nicked the puzzle from, then please don’t write it up immediately in the comments! Give those who have never heard it before a chance to suffer, I mean enjoy finding the solution.

      Wrong is evil and must be defeated. - Jeff Ello

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      Kirk 10389821
      wrote on last edited by
      #35

      Okay, I had to think threw it a bit. Of course, my first reaction to the solution was my father yelling at me! And the hint is that you have to change 1 inspection to inspect for 2 potential details, to overcome the 3:1 input:output problem Nice puzzle

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      • I Ian Shlasko

        Took me a couple minutes, but I remembered the answer... It's a nice warm-up problem... :)

        Proud to have finally moved to the A-Ark. Which one are you in?
        Author of the Guardians Saga (Sci-Fi/Fantasy novels)

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        vtokar
        wrote on last edited by
        #36

        Me too.

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        • P Peter_in_2780

          The classic solution (which I won't give away) may not work too well with modern LED globes! CFLs maybe. Cheers, Peter

          Software rusts. Simon Stephenson, ca 1994. So does this signature. me, 2012

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          englebart
          wrote on last edited by
          #37

          An in depth exploration of the efficiency of lighting. I think I found this through an image search a while back. http://physics.ucsd.edu/do-the-math/2012/05/spectral-extravaganza-the-ultimate-light/[^]

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          • J Jorgen Andersson

            Downstairs in a house are three identical on-off switches. One of them controls the lamp in the attic. The puzzle is to work out which switch controls the lamp. The rules are as follows. You are allowed to manipulate the switches all you like, and then you are allowed a single trip to the attic. How do you do it? To clarify: When you are downstairs there is no way to see into the attic, or see reflected light from the attic. Once you have gone to the attic you are not allowed back to the switches. <edit>you can also assume original state of all switches to be off.</edit><hint>Otherwise it won't work</hint> Note: If you already know the answer, or reads the newspaper where I nicked the puzzle from, then please don’t write it up immediately in the comments! Give those who have never heard it before a chance to suffer, I mean enjoy finding the solution.

            Wrong is evil and must be defeated. - Jeff Ello

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            SeattleC
            wrote on last edited by
            #38

            Had this question at a job interview. It's a lateral thinking exercise. My experience with software development over 35 years is that lateral thinking is virtually never a part of the mental toolkit for software development. Oh, by the way, the solution requires that the bulb be an incandescent bulb. It won't work with an LED bulb or electroluminescent night light.

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            • J Jorgen Andersson

              Downstairs in a house are three identical on-off switches. One of them controls the lamp in the attic. The puzzle is to work out which switch controls the lamp. The rules are as follows. You are allowed to manipulate the switches all you like, and then you are allowed a single trip to the attic. How do you do it? To clarify: When you are downstairs there is no way to see into the attic, or see reflected light from the attic. Once you have gone to the attic you are not allowed back to the switches. <edit>you can also assume original state of all switches to be off.</edit><hint>Otherwise it won't work</hint> Note: If you already know the answer, or reads the newspaper where I nicked the puzzle from, then please don’t write it up immediately in the comments! Give those who have never heard it before a chance to suffer, I mean enjoy finding the solution.

              Wrong is evil and must be defeated. - Jeff Ello

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              KLSmith
              wrote on last edited by
              #39

              What if you have an LED bulb in in the attic?

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              • J Jorgen Andersson

                Downstairs in a house are three identical on-off switches. One of them controls the lamp in the attic. The puzzle is to work out which switch controls the lamp. The rules are as follows. You are allowed to manipulate the switches all you like, and then you are allowed a single trip to the attic. How do you do it? To clarify: When you are downstairs there is no way to see into the attic, or see reflected light from the attic. Once you have gone to the attic you are not allowed back to the switches. <edit>you can also assume original state of all switches to be off.</edit><hint>Otherwise it won't work</hint> Note: If you already know the answer, or reads the newspaper where I nicked the puzzle from, then please don’t write it up immediately in the comments! Give those who have never heard it before a chance to suffer, I mean enjoy finding the solution.

                Wrong is evil and must be defeated. - Jeff Ello

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                Tiger12506
                wrote on last edited by
                #40

                Here's my problem with the accepted solution -- How do you know that these aren't 3-way switches?? "One of them controls the lamp in the attic" -- which says nothing about whether the other two switches also control the lamp in the attic.

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                • J Jorgen Andersson

                  Downstairs in a house are three identical on-off switches. One of them controls the lamp in the attic. The puzzle is to work out which switch controls the lamp. The rules are as follows. You are allowed to manipulate the switches all you like, and then you are allowed a single trip to the attic. How do you do it? To clarify: When you are downstairs there is no way to see into the attic, or see reflected light from the attic. Once you have gone to the attic you are not allowed back to the switches. <edit>you can also assume original state of all switches to be off.</edit><hint>Otherwise it won't work</hint> Note: If you already know the answer, or reads the newspaper where I nicked the puzzle from, then please don’t write it up immediately in the comments! Give those who have never heard it before a chance to suffer, I mean enjoy finding the solution.

                  Wrong is evil and must be defeated. - Jeff Ello

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                  J Offline
                  jkirkerx
                  wrote on last edited by
                  #41

                  Usually up is on such as decora, or the old switches were marked on and off. Or take off the panel, and use a current meter to determine the on position, or volt meter or test light. Turn all 3 switches on.

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                  • J Jorgen Andersson

                    Downstairs in a house are three identical on-off switches. One of them controls the lamp in the attic. The puzzle is to work out which switch controls the lamp. The rules are as follows. You are allowed to manipulate the switches all you like, and then you are allowed a single trip to the attic. How do you do it? To clarify: When you are downstairs there is no way to see into the attic, or see reflected light from the attic. Once you have gone to the attic you are not allowed back to the switches. <edit>you can also assume original state of all switches to be off.</edit><hint>Otherwise it won't work</hint> Note: If you already know the answer, or reads the newspaper where I nicked the puzzle from, then please don’t write it up immediately in the comments! Give those who have never heard it before a chance to suffer, I mean enjoy finding the solution.

                    Wrong is evil and must be defeated. - Jeff Ello

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                    Keviniano Gayo
                    wrote on last edited by
                    #42

                    Its so simple.. you turn ON ALL switches

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                    • J Jorgen Andersson

                      Downstairs in a house are three identical on-off switches. One of them controls the lamp in the attic. The puzzle is to work out which switch controls the lamp. The rules are as follows. You are allowed to manipulate the switches all you like, and then you are allowed a single trip to the attic. How do you do it? To clarify: When you are downstairs there is no way to see into the attic, or see reflected light from the attic. Once you have gone to the attic you are not allowed back to the switches. <edit>you can also assume original state of all switches to be off.</edit><hint>Otherwise it won't work</hint> Note: If you already know the answer, or reads the newspaper where I nicked the puzzle from, then please don’t write it up immediately in the comments! Give those who have never heard it before a chance to suffer, I mean enjoy finding the solution.

                      Wrong is evil and must be defeated. - Jeff Ello

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                      Fred Pedro
                      wrote on last edited by
                      #43

                      I'd say I'll use logic gates for this one. Not sure if it will be valid, don't care either if it is or not. :laugh: :laugh: Say we are talking about OR gates, we can have a single switch be turned differently from the other two switches. We will then have 1+0+0=1 or 1+1+0=1. Then the lamp is on.

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                      • J Jorgen Andersson

                        Downstairs in a house are three identical on-off switches. One of them controls the lamp in the attic. The puzzle is to work out which switch controls the lamp. The rules are as follows. You are allowed to manipulate the switches all you like, and then you are allowed a single trip to the attic. How do you do it? To clarify: When you are downstairs there is no way to see into the attic, or see reflected light from the attic. Once you have gone to the attic you are not allowed back to the switches. <edit>you can also assume original state of all switches to be off.</edit><hint>Otherwise it won't work</hint> Note: If you already know the answer, or reads the newspaper where I nicked the puzzle from, then please don’t write it up immediately in the comments! Give those who have never heard it before a chance to suffer, I mean enjoy finding the solution.

                        Wrong is evil and must be defeated. - Jeff Ello

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                        Member 10447195
                        wrote on last edited by
                        #44

                        Assuming the bulb is incandescent and the switches are 1 -2 - 3 turn on switches 1 and 3 - wait 10 minutes - turn off switch three go to the attic - if the light is on, switch one activates the lamp if the light is off, feel the bulb if it is warm, switch 3 activates the lamp if it is cold, switch 2 activates the lamp. SushiSlayer

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                        • J Jorgen Andersson

                          Downstairs in a house are three identical on-off switches. One of them controls the lamp in the attic. The puzzle is to work out which switch controls the lamp. The rules are as follows. You are allowed to manipulate the switches all you like, and then you are allowed a single trip to the attic. How do you do it? To clarify: When you are downstairs there is no way to see into the attic, or see reflected light from the attic. Once you have gone to the attic you are not allowed back to the switches. <edit>you can also assume original state of all switches to be off.</edit><hint>Otherwise it won't work</hint> Note: If you already know the answer, or reads the newspaper where I nicked the puzzle from, then please don’t write it up immediately in the comments! Give those who have never heard it before a chance to suffer, I mean enjoy finding the solution.

                          Wrong is evil and must be defeated. - Jeff Ello

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                          Bassam Abdul Baki
                          wrote on last edited by
                          #45

                          I got that in less than a minute a few years back. :-D

                          Web - BM - RSS - Math - LinkedIn

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                          • J Jorgen Andersson

                            Downstairs in a house are three identical on-off switches. One of them controls the lamp in the attic. The puzzle is to work out which switch controls the lamp. The rules are as follows. You are allowed to manipulate the switches all you like, and then you are allowed a single trip to the attic. How do you do it? To clarify: When you are downstairs there is no way to see into the attic, or see reflected light from the attic. Once you have gone to the attic you are not allowed back to the switches. <edit>you can also assume original state of all switches to be off.</edit><hint>Otherwise it won't work</hint> Note: If you already know the answer, or reads the newspaper where I nicked the puzzle from, then please don’t write it up immediately in the comments! Give those who have never heard it before a chance to suffer, I mean enjoy finding the solution.

                            Wrong is evil and must be defeated. - Jeff Ello

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                            User 10714135
                            wrote on last edited by
                            #46

                            I haven't looked at the other posts yet, so I'm throwing my solution in before I go reading. Turn on the first switch. Wait a while. Turn off the first switch. Turn on the second switch. Go upstairs. If the light is on, it's the second switch. If the light off, feel the bulb. If it's hot, it's the first switch, otherwise it's the third switch.

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                            • J Jorgen Andersson

                              Downstairs in a house are three identical on-off switches. One of them controls the lamp in the attic. The puzzle is to work out which switch controls the lamp. The rules are as follows. You are allowed to manipulate the switches all you like, and then you are allowed a single trip to the attic. How do you do it? To clarify: When you are downstairs there is no way to see into the attic, or see reflected light from the attic. Once you have gone to the attic you are not allowed back to the switches. <edit>you can also assume original state of all switches to be off.</edit><hint>Otherwise it won't work</hint> Note: If you already know the answer, or reads the newspaper where I nicked the puzzle from, then please don’t write it up immediately in the comments! Give those who have never heard it before a chance to suffer, I mean enjoy finding the solution.

                              Wrong is evil and must be defeated. - Jeff Ello

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                              KellyKimble
                              wrote on last edited by
                              #47

                              I attempted to prove the solution is viable but in the attempt I broke my ankle stumbling over all the junk in the pitch black attic as I tried to get to the light. :(( >>> Mental note: Only attempt this during the daytime and only for attics with windows <<< :laugh:

                              - Kelly

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