On 12 Mar, 12:04, archytas <[email protected]> wrote: > This is deja vu. Orn has had a dozen of us lay our balls on the table > before. The real question is when he will stop saying 'incorrect'! > If my own balls are not part of the problem, I favour a liquid helium > solution. Pour it on the lot and the lightest ball will be first to > roll uphill. > I can't see less than 3 weighings, though in physics' exams we usually > throw in an unequal arm balance and get people to work out torque. A > standard good answer is to weigh 4 against 4 hoping you get 8 good > balls and thus know the lighter one is in the other 4. 2 against 2 of > the remainder then tells you which 2 the light one is in and you weigh > them to get the light one. If you get a disparity in the first weigh > you know where the light ball is and can do 2 against 2, then 1 on 1. > > If A+B+C+D > E+F+G+H > > We try A+B+E against C+F+J > > If A+B+E + C+F+J then either D is heavier or G or H is lighter, so > weigh > G against H. > > If A+B+E > C+F+J then either F is lighter or A or B is heavier, so we > weigh A against B. > > If A+B+E < C+F+J then either E is lighter or C is heavier, so weigh > either against a good ball, eg. K against E. > > An alternative second weighing is A+B+E against C+D+F, which follows > similar lines to the above. > > URL:http://able2know.org/topic/13054-1- which goes to show Google > has its uses and why sticking students in exam conditions might still > have its uses. Taking any 12 standard undergraduates, how many > weighings will it take to prove they are all air-heads? >
None, by definition of 'standard undergraduates'. Well, I should ask if they are American or not. ;-) Note for those who didn't know, I am of American birth, so I can blight my own, as it were. > On 12 Mar, 05:18, Don Johnson <[email protected]> wrote: > > > > > Ok, I found it on the net(yes, I cheated.) It seems an offal lot of > > work for ONE less weighing. Did I mention I'm laZy? On a > > cost/benefit analysis I believe my way is better. And I'm stickin' to > > it.;-) > > > Puzzles Smuzzles. *harrumph* > > > dj > > > On Thu, Mar 11, 2010 at 11:08 PM, ornamentalmind > > > <[email protected]> wrote: > > > incorrect > > > > On Mar 11, 9:04 pm, Don Johnson <[email protected]> wrote: > > >> I thought about it again. Actually, you could put half in on scale > > >> and half in another. 1)One would be heavier. So then you split one > > >> side again and weight them.2)If they are even then you know that > > >> different ball didn't come from that side and now you know if the ball > > >> is heavier or lighter. 3)You split the balls(3 each scale) with the > > >> odd ball in them to narrow it down. 4)weigh two of the remaining 3-if > > >> they are even you know the 3rd is your odd ball. If one is(lighter or > > >> heavier based on earlier discovery) you know that one is the oddball. > > > >> So 4 times. > > > >> I think. > > > >> dj > > > >> On Thu, Mar 11, 2010 at 10:56 PM, Don Johnson <[email protected]> wrote: > > >> > Total guess is six but you can stop as soon as the scales aren't equal. > > > >> > dj > > > >> > On Thu, Mar 11, 2010 at 10:53 PM, ornamentalmind > > >> > <[email protected]> wrote: > > >> >> Years ago I proffered this puzzle to ME: > > > >> >> 12 balls…all appear to be identical. One and only one of them is a > > >> >> little heavier OR a little lighter than the rest. > > >> >> You have a balance scale…two pans hanging similar to what the statue > > >> >> of blind justice holds. > > > >> >> Problem: What is the *least* number of weighings necessary to know > > >> >> *for sure* which of the 12 is different *and* whether the specific > > >> >> ball is lighter or heavier than the rest? > > > >> >> On Mar 11, 7:32 pm, Chris Jenkins <[email protected]> wrote: > > >> >>> Indeed...I'd hate to hear you lost your marbles! > > > >> >>> On Thu, Mar 11, 2010 at 10:30 PM, Slip Disc <[email protected]> wrote: > > >> >>> > lmao, I'd be nuts to even consider it. > > > >> >>> > On Mar 11, 9:28 pm, Chris Jenkins <[email protected]> > > >> >>> > wrote: > > >> >>> > > Fortunately it wasn't a botched vasectomy, or you might not have > > >> >>> > > had the > > >> >>> > > balls! > > > >> >>> > > On Thu, Mar 11, 2010 at 10:25 PM, Slip Disc <[email protected]> > > >> >>> > > wrote: > > >> >>> > > > I'm in recovery right now after a botched operation. I had my > > >> >>> > > > gall > > >> >>> > > > bladder removed and the doctor accidentally cut out part of my > > >> >>> > > > stomach. I was beyond upset but when I told him I was going > > >> >>> > > > to file a > > >> >>> > > > lawsuit he said I didn't have the guts. > > > >> >>> > > > On Mar 11, 9:19 pm, Chris Jenkins <[email protected]> > > >> >>> > > > wrote: > > >> >>> > > > > Not that I'm above them... > > > >> >>> > > > > Two maggots were fighting in dead Ernest. > > > >> >>> > > > > Sticks float. They wood. > > > >> >>> > > > > On Thu, Mar 11, 2010 at 10:19 PM, Chris Jenkins > > >> >>> > > > > <[email protected]>wrote: > > > >> >>> > > > > > *dying* > > > >> >>> > > > > > Puns are the worst. > > > >> >>> > > > > > On Thu, Mar 11, 2010 at 10:14 PM, Slip Disc > > >> >>> > > > > > <[email protected]> > > >> >>> > wrote: > > > >> >>> > > > > >> Then of course you should know How Long was the Chinese > > >> >>> > > > > >> man's name > > >> >>> > and > > >> >>> > > > > >> how to make an Egg Roll, right? > > > >> >>> > > > > >> On Mar 11, 8:49 pm, Chris Jenkins > > >> >>> > > > > >> <[email protected]> > > >> >>> > wrote: > > >> >>> > > > > >> > Great fun! I've always been a fan of riddles and puzzle > > >> >>> > > > > >> > games. > > > >> >>> > > > > >> > On Thu, Mar 11, 2010 at 9:44 PM, Slip Disc > > >> >>> > > > > >> > <[email protected]> > > >> >>> > > > wrote: > > >> >>> > > > > >> > > Yeah, I knew the original set would lay waste to the > > >> >>> > complexity, > > >> >>> > > > but > > >> >>> > > > > >> > > it would have on it's own without the correlation > > >> >>> > > > > >> > > proved to be > > >> >>> > > > more > > >> >>> > > > > >> > > perplexing. It was fun at the least. > > > >> >>> > > > > >> > > On Mar 11, 8:39 pm, Chris Jenkins > > >> >>> > > > > >> > > <[email protected] > > > >> >>> > > > wrote: > > >> >>> > > > > >> > > > If you check the time stamps, it took about five > > >> >>> > > > > >> > > > minutes. :D > > >> >>> > The > > >> >>> > > > > >> > > predictable > > >> >>> > > > > >> > > > range of the downward progression led me > > >> >>> > > > > >> > > > immediately to the > > >> >>> > > > > >> correlation > > >> >>> > > > > >> > > with > > >> >>> > > > > >> > > > the original set. Calculus, for the win! > > > >> >>> > > > > >> > > > On Thu, Mar 11, 2010 at 9:35 PM, Slip Disc < > > >> >>> > [email protected]> > > >> >>> > > > > >> wrote: > > >> >>> > > > > >> > > > > Simply smashing ol chap, I'm a bit gobsmacked. > > > >> >>> > > > > >> > > > > How many hours did it take you? hehehe! > > > >> >>> > > > > >> > > > > On Mar 11, 8:03 pm, Chris Jenkins < > > >> >>> > [email protected] > > > >> >>> > > > > >> wrote: > > >> >>> > > > > >> > > > > > I'm still waiting for the response from Slip! He > > >> >>> > apparently > > >> >>> > > > > >> didn't > > >> >>> > > > > >> > > take > > >> >>> > > > > >> > > > > my > > >> >>> > > > > >> > > > > > order, and tonight's overnight rate is > > >> >>> > > > > >> > > > > > increasing > > >> >>> > > > .0345343782%! > > > >> >>> > > > > >> > > > > > On Thu, Mar 11, 2010 at 3:24 AM, archytas < > > >> >>> > > > > >> [email protected]> > > >> >>> > > > > >> > > > > wrote: > > >> >>> > > > > >> > > > > > > Collaterally derivitise that last option > > >> >>> > > > > >> > > > > > > Chris! > > > >> >>> > > > > >> > > > > > > On 11 Mar, 03:17, Chris Jenkins < > > >> >>> > > > [email protected]> > > >> >>> > > > > >> > > wrote: > > >> >>> > > > > >> > > > > > > > Elementary, my dear boy! > > > >> >>> > > > 6.5192024052026487145829715574291844165280937789100654589503 > > > >> >>> > > > > >> > > > > > > > On Wed, Mar 10, 2010 at 7:20 PM, Slip Disc < > > >> >>> > > > > >> [email protected]> > > >> >>> > > > > >> > > wrote: > > >> >>> > > > > >> > > > > > > > > Well Chris, you're really sharp so, what > > >> >>> > > > > >> > > > > > > > > is the > > >> >>> > next > > >> >>> > > > in > > >> >>> > > > > >> this > > >> >>> > > > > >> > > > > sequence? > > > >> >>> > > > > >> > > > > > > > > 20.024984394500785727697212148323, > > > >> >>> > > > > >> > > > > > > > > 13.114877048604001304688219995272, > > > >> >>> > > > > >> > > > > > > > > 9.230384607371460986883556451096, > > > >> >>> > > > > >> > > > > > > > > ?........................................? > > > >> >>> > > > > >> > > > > > > > > Hint: It also has to do with the > > >> >>> > > > > >> > > > > > > > > Universe. > > > >> >>> > > > > >> > > > > > > > > Anyone? > > > >> >>> > > > > >> > > > > > > > > On Mar 10, 8:20 am, Chris Jenkins < > > >> >>> > > > > >> [email protected]> > > >> >>> > > > > >> > > > > wrote: > > >> >>> > > > > >> > > > > > > > > > *laughing* > > > >> >>> > > > > >> > > > > > > > > > Indeed, sir, Douglas Adams is who I was > > >> >>> > referring > > >> >>> > > > to. > > > >> >>> > > > > >> > > > > > > > > > On Wed, Mar 10, 2010 at 8:19 AM, Slip > > >> >>> > > > > >> > > > > > > > > > Disc < > > >> >>> > > > > >> [email protected] > > > >> >>> > > > > >> > > > > wrote: > > >> >>> > > > > >> > > > > > > > > > > Come to think of it, probably that > > >> >>> > > > > >> > > > > > > > > > > was what > > >> >>> > Chris > > >> >>> > > > was > > >> >>> > > > > >> > > referring > > >> >>> > > > > >> > > > > > > too. > > >> >>> > > > > >> > > > > > > > > > > The solar reference threw me off but > > >> >>> > > > > >> > > > > > > > > > > the real > > >> >>> > > > problem > > >> >>> > > > > >> was > > >> >>> > > > > >> > > that > > >> >>> > > > > >> > > > > I > > >> >>> > > > > >> > > > > > > had > > >> >>> > > > > >> > > > > > > > > > > just finished off a six pack of > > >> >>> > > > > >> > > > > > > > > > > Samuel Adams. > > > >> >>> >http://www.samueladams.com/verification/?nocookie > > > >> >>> > > > > >> > > > > > > > > > > Now I'll have that cigar but first > > >> >>> > > > > >> > > > > > > > > > > cut 82.5 > > >> >>> > off > > >> >>> > > > it's > > >> >>> > > > > >> length > > >> >>> > > > > >> > > to > > >> >>> > > > > >> > > > > > > remove > > >> >>> > > > > >> > > > > > > > > > > the bad tasting stuff. > > > >> >>> > > > > >> > > > > > > > > > > On Mar 10, 6:46 am, Lee > > >> >>> > > > > >> > > > > > > > > > > <[email protected]> > > >> >>> > > > wrote: > > >> >>> > > > > >> > > > > > > > > > > > Ahhh and here I was thinking > > >> >>> > > > > >> > > > > > > > > > > > Douglas Adams. > > >> >>> > He > > >> >>> > > > of > > >> >>> > > > > >> the > > >> >>> > > > > >> > > '42' > > >> >>> > > > > >> > > > > > > quote. > > > >> >>> > > > > >> > > > > > > > > > > > On 9 Mar, 22:58, Slip Disc < > > >> >>> > [email protected]> > > >> >>> > > > > >> wrote: > > > >> >>> > > > > >> > > > > > > > > > > > > Adams is a lunar impact crater > > >> >>> > > > > >> > > > > > > > > > > > > that is > > >> >>> > located > > >> >>> > > > in > > >> >>> > > > > >> the > > >> >>> > > > > >> > > > > rugged > > >> >>> > > > > >> > > > > > > > > > > > > southeastern section of the Moon, > > >> >>> > > > > >> > > > > > > > > > > > > near the > > ... > > read more »- Hide quoted text - > > - Show quoted text - -- You received this message because you are subscribed to the Google Groups ""Minds Eye"" group. 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