Ok, real brain teaser time!

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  • klane3524
    Senior Member

    • Feb 10
    • 231
    • htc ppc 6800
    #1

    Ok, real brain teaser time!

    My calculus teacher introduced this as a bonus problem, don't worry, it doesn't involve calculus, just some hard core algebra!

    At some random highschool there are 1000 students, and 1000 lockers. At the beginning of the day, all of the lockers are closed. The first kid comes in, and opens every locker. The second kid comes in and reverses the order of every 2nd locker, 3rd kid reverses the order of every 3rd locker, (reverses the order meaning if its open the kid will close it, if it is closed, the kid will open it) 4th kid reverses the order of every 4th locker - all the way to the 1000th kid that reverses the order of locker #1000, the question is, how many lockers are open, and how many are closed at the end of the day? (Hint look at the multiples) This is a fun one!
    Tags: brain, real, teaser, time
    • VenumX
      The VenumX Factor

      • Nov 14
      • 1410
      • HTC Touch PRO
      • 6.5
      • Sprint
      #2
      Re: Ok, real brain teaser time!

      im guessing its all closed? but kaos already won this one

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        • klane3524
          Senior Member

          • Feb 10
          • 231
          • htc ppc 6800
          #3
          Re: Ok, real brain teaser time!

          nope, 31 open and 969 closed, reason being is that the only way a locker can be open, is if it changed an odd amount of times, and the only time it changes is when the number is a multiple. The only numbers with even multiples are perfect squares, so the lockers that are open are 1,4,9,16,25,36,49,64,81,100,121,144,169,196,225,25 6,289,324,361,400,441,484,529,576,625,676,729,784, 841,900,961

          add em up, you get 31 open!

          basically these numbers are 1^2, 2^2, 3^2,4^2...39^2 perfect squares

            Comment

            • klane3524
              Senior Member

              • Feb 10
              • 231
              • htc ppc 6800
              #4
              Re: Ok, real brain teaser time!

              Originally posted by VenumX
              im guessing its all closed? but kaos already won this one
              is you guess 50/50? or all closed? :)

                Comment

                • VenumX
                  The VenumX Factor

                  • Nov 14
                  • 1410
                  • HTC Touch PRO
                  • 6.5
                  • Sprint
                  #5
                  Re: Ok, real brain teaser time!

                  nice, i shoulda thought of that, i need to eat some food...gotta get on my A game.

                  ("Do Not Pm Me Or Email For Support" For Mobile Stuff, Post your question/problem on the forum so that someone else who's having the same issue can benefit from the solution.)

                  sigpic

                  Wanna Introduce Yourself?! Click HERE

                  Need to flash a rom?
                  stlouisfinest68 has a great video tutorial on how to do it, click HERE

                  Forum Rules: --> HERE
                  Join A Group:--> HERE
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                    Comment

                    • klane3524
                      Senior Member

                      • Feb 10
                      • 231
                      • htc ppc 6800
                      #6
                      Re: Ok, real brain teaser time!

                      damn that took too long to type, or I would have recieved my 10 dollars...

                        Comment

                        • VenumX
                          The VenumX Factor

                          • Nov 14
                          • 1410
                          • HTC Touch PRO
                          • 6.5
                          • Sprint
                          #7
                          Re: Ok, real brain teaser time!

                          haha yea when i offer incentive i follow through too :P you woulda lucked out

                          ("Do Not Pm Me Or Email For Support" For Mobile Stuff, Post your question/problem on the forum so that someone else who's having the same issue can benefit from the solution.)

                          sigpic

                          Wanna Introduce Yourself?! Click HERE

                          Need to flash a rom?
                          stlouisfinest68 has a great video tutorial on how to do it, click HERE

                          Forum Rules: --> HERE
                          Join A Group:--> HERE
                          Learn To Get Around The Forum:--> HERE

                            Comment

                            • rich7781
                              Senior Member

                              • Jan 10
                              • 1817
                              • Tilt
                              #8
                              Re: Ok, real brain teaser time!

                              yup 10 bucks for me...bwahhhhhhhhhhhhh

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