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Topic: Machine Problem (Read 464 times) |
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m_prithvin13
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Machine Problem
« on: Aug 29th, 2005, 3:24am » |
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There is a company that has ten machines that makes gold coins. One of the machines is producing coins that are one gram too light. How do you tell which machine out of the ten is producing the coins with the wrong amount of gold weight with only one weighing? 
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Barukh
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Re: Machine Problem
« Reply #1 on: Aug 29th, 2005, 3:50am » |
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What weighing machinery is at our disposal?
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| « Last Edit: Aug 29th, 2005, 4:02am by Barukh » |
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Grimbal
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Re: Machine Problem
« Reply #2 on: Aug 29th, 2005, 5:40am » |
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Does a good coin weight 1 gram?
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ThudnBlunder
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Re: Machine Problem
« Reply #3 on: Aug 29th, 2005, 6:26am » |
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on Aug 29th, 2005, 3:50am, Barukh wrote:| What weighing machinery is at our disposal? |
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Assuming there is the necessary weighing equipment and that we know how much a good coin weighs, we take 1 coin from the 1st machine, 2 from the 2nd machine, 3 from the 3rd machine, etc. On weighing the 55 coins, the magnitude of the discrepancy will tell us which machine is defective.
on Aug 29th, 2005, 5:40am, Grimbal wrote:| Does a good coin weight 1 gram? |
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Only if a bad coin weighs nothing at all. 
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| « Last Edit: Aug 31st, 2005, 4:29am by ThudnBlunder » |
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THE MEEK SHALL INHERIT THE EARTH.....................................................................er, if that's all right with the rest of you.
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m_prithvin13
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Re: Machine Problem
« Reply #4 on: Aug 30th, 2005, 2:30am » |
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on Aug 29th, 2005, 6:26am, THUDandBLUNDER wrote:
Assuming there is the necessary weighing equipment and that we know how much a good coin weighs, we take 1 coin from the 1st machine, 2 from the 2nd machine, 3 from the 3rd machine, etc. On weighing the 55 coins, the magnitude of the discrepancy will tell us which machine is defective.
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Nice One THUDandBLUNDER
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| « Last Edit: Aug 30th, 2005, 2:40am by m_prithvin13 » |
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Grimbal
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Re: Machine Problem
« Reply #5 on: Aug 31st, 2005, 9:40am » |
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on Aug 29th, 2005, 6:26am, THUDandBLUNDER wrote:
Only if a bad coin weighs nothing at all.
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And that would make the weighing unnecessary.
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