RunningWithScissors » 06 Aug 2022, 12:33 am » wrote: ↑ lol i gave the puzzle already? :-) here it goes again, lol!
Start thinking! :-)
You have 12 marbles that look exactly the same. 11 of them weigh exactly the same, and the 12th is slightly lighter or heavier, but so slightly that you cannot tell without a scale.
You have a legal scale and you get 3 chances to weigh the marbles against each other.
After the 3rd weighing, you must be able to determine which marble is different, and whether it is lighter or heavier than the others. This process must be the same every time, and work every time in every possible scenario. No getting lucky!
Just fyi, this is what a legal scale means: You have to weigh one side against the other... :-) Good luck, you brainiacs!!! This is a great mental exercise!
RunningWithScissors » 06 Aug 2022, 12:59 am » wrote: ↑ Hint: we don't know if the marble is heavier or lighter. So weighing 6 against 6 doesn't solve anything and wastes one of your 3 weightings.
Remember, that's one of the goals, determine which one is different, and whether it is heavier or lighter.
I told you this ain't gonna be easy... :-)
simple. 6 in each, 3 in each, 1 in each Simple compounding result half each time. when the scales are balanced with the two the one not even is left aside.RunningWithScissors » 06 Aug 2022, 12:33 am » wrote: ↑ lol i gave the puzzle already? :-) here it goes again, lol!
Start thinking! :-)
You have 12 marbles that look exactly the same. 11 of them weigh exactly the same, and the 12th is slightly lighter or heavier, but so slightly that you cannot tell without a scale.
You have a legal scale and you get 3 chances to weigh the marbles against each other.
After the 3rd weighing, you must be able to determine which marble is different, and whether it is lighter or heavier than the others. This process must be the same every time, and work every time in every possible scenario. No getting lucky!
Just fyi, this is what a legal scale means: You have to weigh one side against the other... :-) Good luck, you brainiacs!!! This is a great mental exercise!
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Notice something bout your answer? It is half life compounding ratio. One has 5 generation gaps present, which ones are first to exist and last to arrive and the horizontal place of 4 corner psychological triangulating the other 4 generations between first 24 and 7. 16 + 8 equals 4 + 2 + each added great great grandchild replacing the their previous 30 relatives to direct compounding DNA replacements. Biology eternally separating the numbers currently alive. Only way it ever worked changing total sum forward now.
PS: Ok, I thought the original problem said "slightly lighter". But, as I read it again, it says slightly lighter or heavier. Ok, I'll have to rethink this.RunningWithScissors » 07 Aug 2022, 1:22 am » wrote: ↑ You fell into the same trap, weighing 6x6 does not give you any information. Because remember, you have to figure out if the last marble is heavier or lighter. And you just wasted one of your 3 weighings.
why? lighter or heavier the same method figures out both, scale just tip the opposite way for which it is. The other part is it was syllogism sucker bet. The person setting it up created a cannot lose situation.Skans » 08 Aug 2022, 7:04 am » wrote: ↑ PS: Ok, I thought the original problem said "slightly lighter". But, as I read it again, it says slightly lighter or heavier. Ok, I'll have to rethink this.
Not the same thing. Because on the first weighing of 6x6 the entire heavier side can be eliminated. If you don't know if its heavier or lighter, then this does not work.omh » 08 Aug 2022, 9:33 am » wrote: ↑ why? lighter or heavier the same method figures out both, scale just tip the opposite way for which it is. The other part is it was syllogism sucker bet. The person setting it up created a cannot lose situation.
if you watch what the suggestion was and the two outcomes are without either one specified to be found until one separates one or the other in 3 moves, then the person setting up the scenario says the opposite of what the three moves used. The original post was a no win scenario where the person would win regardless what the person did because in the original neither outcome as a goal, just a 50/50 proposition 90% the person doing the solving would have it used against him.Skans » 08 Aug 2022, 2:11 pm » wrote: ↑ Not the same thing. Because on the first weighing of 6x6 the entire heavier side can be eliminated. If you don't know if its heavier or lighter, then this does not work.
omh » 08 Aug 2022, 5:41 am » wrote: ↑ simple. 6 in each, 3 in each, 1 in each Simple compounding result half each time. when the scales are balanced with the two the one not even is left aside.
That's usually the problem, peeps miss the lighter/heavier part. But that is a huge part of the puzzle!Skans » 08 Aug 2022, 7:04 am » wrote: ↑ PS: Ok, I thought the original problem said "slightly lighter". But, as I read it again, it says slightly lighter or heavier. Ok, I'll have to rethink this.
I responded to the notification without reading the thread someone else already answered, but you do that subliminal put down all you like, I read vernacular use of language arts and I can interpret things out of intentional use by others and series parallel sequence of happened or happening, but I do self correct those errors as I constantly keep going over everything evolving forward now.
I've only had a limited amount of time to give this some thought - it is a good puzzle, but I've been really slammed with work lately. I haven't forgotten about it. While I haven't completely worked it out yet, my thinking is that the solution must involves something like breaking the marbles into 4 groups of 3. Because, one weighing will produce equal weighted objects, which by process of elimination tells you in which group of 6 the odd marble will be in. Then, you will need to eliminate the group of 3 in the other grouping which are also equal weights. This can be done with 3 marbles from the equal-weight group. Then you are down to 3 marbles, one of which +/- different than the other two. This is where I'm stumped right now - it's going to be a combination of using one of the other eliminated marbles, but I'm not sure exactly how yet. Well, those are my thoughts for now.RunningWithScissors » 10 Aug 2022, 3:33 am » wrote: ↑ That's usually the problem, peeps miss the lighter/heavier part. But that is a huge part of the puzzle!
Good to see you're thinking about this, because I actually have to think about it again, every time I ask! I always forget... It's not easy!
I had the same thoughts... but then I had another thought... if I can't think of a solution in 30 min it isn't likely I would come up with one in 7 hours... I don't see how it could be done and I think it's more likely he's messing with us... he can prove me wrong in a few days but I don't think he will... but it's possible I'm wrong, in that case it will be fun to see what the solution is... I'm not going to break my head over it... not when I'm not certain there is a solution... I can wait a few days...Skans » 10 Aug 2022, 8:01 am » wrote: ↑ I've only had a limited amount of time to give this some thought - it is a good puzzle, but I've been really slammed with work lately. I haven't forgotten about it. While I haven't completely worked it out yet, my thinking is that the solution must involves something like breaking the marbles into 4 groups of 3. Because, one weighing will produce equal weighted objects, which by process of elimination tells you in which group of 6 the odd marble will be in. Then, you will need to eliminate the group of 3 in the other grouping which are also equal weights. This can be done with 3 marbles from the equal-weight group. Then you are down to 3 marbles, one of which +/- different than the other two. This is where I'm stumped right now - it's going to be a combination of using one of the other eliminated marbles, but I'm not sure exactly how yet. Well, those are my thoughts for now.
Twisting my words isn't cool either.... I put some effort in writing and explaining my logic too... I never said I don't care, I said I'm not going to break my head over it when I'm not sure there is a solution.... I wouldn't mind being proven wrong, that would be fun... I just don't think that's going to happen... it really is up to you to prove me wrong....RunningWithScissors » 18 Aug 2022, 3:56 am » wrote: ↑ I'm insulted by that, to be honest with you.
BC I put a lot of effort writing this and explaining this, just for you to say "I don't care, tell me the answer, you owe me it"....
That's not cool...
Dude, you said you weren't going to try. I didn't twist your words. If you're not going to try, why am I bothering? Nobody else is listening...Jantje_Smit » 18 Aug 2022, 4:52 am » wrote: ↑ Twisting my words isn't cool either.... I put some effort in writing and explaining my logic too... I never said I don't care, I said I'm not going to break my head over it when I'm not sure there is a solution.... I wouldn't mind being proven wrong, that would be fun... I just don't think that's going to happen... it really is up to you to prove me wrong....
Sorry, that is incorrect. I have already revealed that you start with 4x4, and then 3x3, and then 1x1.Skans » 11 Aug 2022, 2:19 am » wrote: ↑ I think I have the solution @RunningWithScissors :I am pretty sure this is the solution, unless I am missing something. Quite a nice little puzzle there!
- separate all 12 marbles into 4 groups of 3.
- First Weighing: weigh one 3 x 3 group - if they balance out then eliminate them; if they don't balance out, then switch a marble on one side with a marble on the other side (second weighing). If nothing changes, then eliminate those two marbles. If something does change, then your odd marble is one of those two and you can take one of those marbles and 3 from the balanced group to test to see if it is balanced or the odd one - either way, you will know what the other one is (3rd weighing)
- If in the First weighing they don't balance out, then you use the same procedure outlined above to find the odd marble. Still only requires 3 weighings.
it is up to you to accept actual life instead of directing living in social arena of managed ideologies directing specific outcomes using the nature of the beasts against the species itself naturally timed apart now as genetically changing total sum present regardless which generation gap they reach since birth because alive or dead, once conceived is an event never duplicated again like never before.Jantje_Smit » 18 Aug 2022, 4:52 am » wrote: ↑ Twisting my words isn't cool either.... I put some effort in writing and explaining my logic too... I never said I don't care, I said I'm not going to break my head over it when I'm not sure there is a solution.... I wouldn't mind being proven wrong, that would be fun... I just don't think that's going to happen... it really is up to you to prove me wrong....
:blink:
If you weigh 4 marbles vs 4 marbles, regardless of what happens, the result will be 4 marbles left over that you now have information on. You have to use that info to your benefit in the next 2 weighing's.RunningWithScissors » 18 Aug 2022, 5:02 am » wrote: ↑ Sorry, that is incorrect. I have already revealed that you start with 4x4, and then 3x3, and then 1x1.
The hard part is creating a control group, and moving marbles around to create new control groups as you go.