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| Acmlm's Board - I2 Archive - Brain Teasers - Lateral thinking puzzles. |
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Apocalypse Red Cheep-cheep Level: 24  Posts: 140/203 EXP: 69055 For next: 9070 Since: 04-11-04 From: Australia Since last post: 482 days Last activity: 339 days |
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| With the right luck u can if you get 8 weights and split them into two (luck will determine whether the odd ball is here or not) you have 4 in one and 4 in the other if both sides weigh the same then all 8 of these are the same weight and therefore you are down to 4 weights you split this into two groups of two and weigh one of these groups (with luck the odd ball will be in this group) and determine which weighs more than the other. Now you weigh one of the balls against one of the others noting which one is which, if the weights are different the one you have selected is the odd ball and from this you can determine whether it is heavier or lighter depending on which ball is raised and which is lowered on the equalarm balance. |
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KATW King Yoshi "If you stare at something long enough, it can be funny." Level: 86  Posts: 648/3959 EXP: 6087979 For next: 54128 Since: 03-15-04 Since last post: 7 hours Last activity: 5 hours |
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You are close, but there is a way to determine which one is correct if the weights DIDNT balance. Sorry, but no points for you. |
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Apocalypse Red Cheep-cheep Level: 24 Posts: 144/203 EXP: 69055 For next: 9070 Since: 04-11-04 From: Australia Since last post: 482 days Last activity: 339 days |
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| Well then, if the weights are different when weighing 4 in one and 4 in the other then you pick one of these and split it into two and weigh one of these two groups, spliting it into groups of one, if they weigh the same then it must be one of the other two, divide the total weight to work out what the weight of one ball should be then which ever ball does not comply with this is the odd ball and whether it is heavier or lighter is determined by its position (higher or lower) relative to the other. if they are different then you weigh one of the balls against one of the others, if it is the same the other is the odd ball, if it is different then it is the odd ball. You were right this one is hard. (edited by LostAuzzie on 05-15-04 09:11 PM) |
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KATW King Yoshi "If you stare at something long enough, it can be funny." Level: 86 Posts: 651/3959 EXP: 6087979 For next: 54128 Since: 03-15-04 Since last post: 7 hours Last activity: 5 hours |
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| From what Im reading, you are trying to use more than 3 weighings. Heres the best hints I can give you. 1) Every weighing must yeild teh maximum amount of info. 2) 5 against 3 is not good, neighte is 3 against 3. 3) If a weighing does not balance, the you know the balls off the scale are good balls. Try working from there, and give me actual proof on how this will work. |
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Jagori Flurry Level: 27 Posts: 46/267 EXP: 103625 For next: 12534 Since: 04-17-04 Since last post: 1 day Last activity: 2 hours |
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| [edit] blah, I just realized I misread the question. Gimme a sec. (edited by Jagori on 05-15-04 10:09 PM) (edited by Jagori on 05-15-04 10:17 PM) |
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Apocalypse Red Cheep-cheep Level: 24 Posts: 145/203 EXP: 69055 For next: 9070 Since: 04-11-04 From: Australia Since last post: 482 days Last activity: 339 days |
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| But we also have to find out whether it is heavier or lighter. Weighing 1: weigh 4 balls (2 on either side) if the sides are unbalanced then the other 8 are good. Weighing 2: weigh 2 of the 4 balls (1 on either side) and if they are unbalanced then one of them is the odd one, Weighing 3: determine which is odd by weighing 1 against one of the good balls and if they are unbalanced then the one you weighed is odd, otherwise the one u didnt weigh is odd. That is similar to my first atempt I think   |
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Jagori Flurry Level: 27 Posts: 48/267 EXP: 103625 For next: 12534 Since: 04-17-04 Since last post: 1 day Last activity: 2 hours |
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I just read that in the question, and edited my post before you replied  I'm still thinking. |
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KATW King Yoshi "If you stare at something long enough, it can be funny." Level: 86 Posts: 652/3959 EXP: 6087979 For next: 54128 Since: 03-15-04 Since last post: 7 hours Last activity: 5 hours |
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Originally posted by LostAuzzie Ah, but what if they were balanced... a bid of trouble, dont you think? |
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Apocalypse Red Cheep-cheep Level: 24 Posts: 150/203 EXP: 69055 For next: 9070 Since: 04-11-04 From: Australia Since last post: 482 days Last activity: 339 days |
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| Well I guess I will ask some questions. Is it actually possible to get an answer? If so would you start with 6 balls on either side? Also are you given whether it is heavier or lighter? |
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KATW King Yoshi "If you stare at something long enough, it can be funny." Level: 86 Posts: 670/3959 EXP: 6087979 For next: 54128 Since: 03-15-04 Since last post: 7 hours Last activity: 5 hours |
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| Alright to save you the trouble.... Start with four balls. Now kill two balls and figure teh rest out  |
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Apocalypse Red Cheep-cheep Level: 24 Posts: 151/203 EXP: 69055 For next: 9070 Since: 04-11-04 From: Australia Since last post: 482 days Last activity: 339 days |
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| Ok this is all I can think of the weighings which will only result in 3 weighings are in Italics. In my mind I can only see 2 sets of 3 weighings Weighing 1: Start with four balls if unbalanced (continue to weighing 2A) if they are balanced (continue to 2B) Weighing 2A: Select 2 of the balls, if balanced (continue to 3A) if not balanced (continue to 3B) Weighing 2B: Select another four balls if unbalanced (continue to 3C) if balanced (continue to 3D) Weighing 3A: Select 1 of the other balls and weigh it against one of the good balls, if they are balanced then the other ball is unbalanced and one more weighing will determine whether it is heavier or lighter. If these two are unbalanced then the 1 you weighed against the good ball is the odd one and you can determine whether it is heavier or lighter depending on whether it is highere or lower than the other ball Weighing 3B: Similarly to weighing 3A weigh one of the balls against one of the good balls and if balanced the other is unbalanced and one more will determine whether it is heavier or lighter. If unbalanced then the 1 weighed is balanced and whether it is heavier or lighter is determined by whether it is higher or lower than the other ball. Weighings 3C and 3D are not needed as you only asked for proof that it is possible. |
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Jagori Flurry Level: 27 Posts: 54/267 EXP: 103625 For next: 12534 Since: 04-17-04 Since last post: 1 day Last activity: 2 hours |
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| Start with four, 2 vs 2 * if it's unbalanced, take one off each side and remember which side you took it from. **If the result is balanced, you're holding the odd ball. Switch one of the balls you're holding with one of the ones on the scale. ***If the result of that is balanced, then the one you didn't switch is the odd ball. Recall if the side you took it from was lighter or heavier - whichever it was, so is the odd ball. (done) *** if the result is unbalanced, you just put the odd ball onto the scale, and it's obvious if it's heavier or lighter (done) ** If the result is unbalanced, then the oddball is still on the scale and you just need to find if it's heavier or lighter. Do this by switching one of the balls on the scale with a ball that's not on the scale. ***If the result stays the same, then you know the oddball is the one you didn't switch, and it's obviously lighter or heavier. (done) ***if the result balances, then you took the odd ball off, and you can remember if it was lighter or heavier. (done) *if the result of the very first weighing is balanced - I don't think you can consistently determine which ball is different and how with two weighings and 8 balls. I mean, it takes 3 to determine with 4. |
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KATW King Yoshi "If you stare at something long enough, it can be funny." Level: 86 Posts: 673/3959 EXP: 6087979 For next: 54128 Since: 03-15-04 Since last post: 7 hours Last activity: 5 hours |
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 I think this riddle has gone on long enough... a couple people are gonna get points for good guesses  Answer. Call teh balls A through L. 1: Weigh 4 against 4 2: Balancing is good, weigh 3 remining against 3 good balls. 3: Balanced or unbalanced, you will then take the group of 3 with the odd ball and weigh 1 against 1. 4: Balanced, we have odd ball. Unbalanced, same thing. (By now, you know whether the ball is heavier/lighter) IF 4 V 4 is UNBALANCED 1: We first had ABCD>EFGH 2: Now do ABE vs CFJ 3: If ABE=CFJ, then D is heavier or G or H is lighter, do G vs H 4: If ABE>CFJ, then F is lighter, or A or B is heavier. Do A vs B 5: If ABE < CFJ, then E is lighter, or C is heavier, so do K vs E or C CONGRATS, YOU HAVE TEH ODD BALL...... Now for points _____Score_____ Jagori - 40 NSNick - 20 Lost Auzzie - 19 Felix - 18 blackfire - 8 Kefka - 7 Edsgravy0 - 5 Disch/Slash Dafter - 4 neotransotaku - 2 _______________ Question 40 (1 point) The hanged man A man has hung himself. He is hanging in the center of a barn. The walls are 40 ft away. The ceiling is 30 ft high. He is hanging 10 feet off the ground. How did he manage to hang himself? (edited by Kirby all the way on 05-20-04 08:17 PM) |
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NSNick Laidback Admin Level: 85  Posts: 380/3875 EXP: 5895841 For next: 2699 Since: 03-15-04 From: North Side School: OSU Since last post: 9 hours Last activity: 1 hour |
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| He used a block of ice or dry ice to stand on, which later melted/evaporated, leaving an empty room. That, or the rope was really long, and he threw it over a rafter and tied it like that. | |||
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Apocalypse Red Cheep-cheep Level: 24 Posts: 152/203 EXP: 69055 For next: 9070 Since: 04-11-04 From: Australia Since last post: 482 days Last activity: 339 days |
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| He climbed up the walls and along the rafters, he had already tied the loop on the ground so all he needed to do was tie the rope to the rafters. he then sliped his head through the loop and jumped to the ground, the rope was 10 ft long which meant he was off the ground and was hung by the rope. | |||
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KATW King Yoshi "If you stare at something long enough, it can be funny." Level: 86 Posts: 676/3959 EXP: 6087979 For next: 54128 Since: 03-15-04 Since last post: 7 hours Last activity: 5 hours |
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NSNick has this one...  _____Score_____ Jagori - 40 NSNick - 21 Lost Auzzie - 19 Felix - 18 blackfire - 8 Kefka - 7 Edsgravy0 - 5 Disch/Slash Dafter - 4 neotransotaku - 2 _______________ Puzzle 41(4 points) Death in a field. A man is lying dead in a field. Next to him is an unopened package. There is no other creature in the field. How did he die? Before you ask, HE DIDNT KILL HIMSELF |
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Jagori Flurry Level: 27 Posts: 60/267 EXP: 103625 For next: 12534 Since: 04-17-04 Since last post: 1 day Last activity: 2 hours |
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| I'm assuming that it wasn't that he got bit by a snake and died, and the snake left before he died or something, because that would be a lame way out by saying "there were no creatures in the field". So..... Is the unopened-ness of the package responsible for his death? If so... was it a parachute? (I was gonna say first aid kit, but that goes along with the snake idea which... is kinda lame )If it was a parachute, then the reason for his death is obvious - it failed to open for whatever reason and he experienced lethal negative acceleration. (edited by Jagori on 05-20-04 08:22 PM) |
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KATW King Yoshi "If you stare at something long enough, it can be funny." Level: 86 Posts: 678/3959 EXP: 6087979 For next: 54128 Since: 03-15-04 Since last post: 7 hours Last activity: 5 hours |
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| Like I said before, put the book away It was a parachute _____Score_____ Jagori - 44 NSNick - 21 Lost Auzzie - 19 Felix - 18 blackfire - 8 Kefka - 7 Edsgravy0 - 5 Disch/Slash Dafter - 4 neotransotaku - 2 _______________ Puzzle 42 (4 points) The fatal fare A man got into a taxi and told the driver his destination. After that they did not say a word. On the way, the taxi driver stopped the taxi at a lonely spot and beckoned the man to get out. the driver than killed the man with a stone, and drove off. The taxi driver is not a criminal. He had never met teh pasenger before, nor did he recognize the face or voice. He did not rob the man. Why did he kill the passenger? |
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Jagori Flurry Level: 27 Posts: 63/267 EXP: 103625 For next: 12534 Since: 04-17-04 Since last post: 1 day Last activity: 2 hours |
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| Couple questions: Was the man's destination important? Was the man expecting to be killed? Is the fact that the driver used a stone important (and was it a normal stone, i.e. just some rock?) |
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Apocalypse Red Cheep-cheep Level: 24 Posts: 153/203 EXP: 69055 For next: 9070 Since: 04-11-04 From: Australia Since last post: 482 days Last activity: 339 days |
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| Ok my guess is the man asked to be killed(maybe his destination was "death" or maybe "heaven") and so the taxi driver killed the man in the only way he could think of (throwing a stone at him) and after doing this he drove off so he wouldn't get into trouble, he picked a lonely spot so no one else would see him murder the man. |
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