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Weighing machines


Best Answer DeGe, 26 August 2014 - 11:36 AM

Come to think of it...

Spoiler for Old is gold
Go to the full post


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14 replies to this topic

#1 TimeSpaceLightForce

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Posted 25 August 2014 - 05:01 AM

weighteight.JPG

Twelve golden eggs are nestled on the wooden shelves
and tagged according to their weights (troys)..Somehow
the caretaker would switch any two of these precious
items and forget which two should be returned on the
the right shelves. Fortunately, the weighing machines
are available..To find out where the switched eggs are,
he must use a better equipment ,that is to minimize
the weight trying. If both the digital scale and beam
balance are working ..which one would you recommend?

 

What is the least no. of usage?


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#2 DeGe

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Posted 25 August 2014 - 01:45 PM

Spoiler for Its digital era


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#3 DeGe

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Posted 25 August 2014 - 02:04 PM

Ah the editor did not let me change the formatting while editing.

In the previous post, I copy pasted from excel. While editing it showed things fine but the final result was all messed up as you can see in the previous post.

This should look better

 

Spoiler for Digital era better presented

 

 

[/spoiler]

Edited by DeGe, 25 August 2014 - 02:05 PM.

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#4 DeGe

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Posted 26 August 2014 - 11:36 AM   Best Answer

Come to think of it...

Spoiler for Old is gold

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#5 TimeSpaceLightForce

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Posted 26 August 2014 - 07:19 PM

Come to think of it...

Spoiler for Old is gold

Spoiler for


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#6 bonanova

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Posted 29 August 2014 - 02:36 AM

Spoiler for caveat


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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

#7 TimeSpaceLightForce

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Posted 01 September 2014 - 08:29 PM

If the caretaker remembers 5 eggs which he might have swapped two of them,
(5c2) or 10 possible combinations,how he could find the pair with 2 trials?

Edited by TimeSpaceLightForce, 01 September 2014 - 08:29 PM.

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#8 k-man

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Posted 02 September 2014 - 08:05 PM



If the caretaker remembers 5 eggs which he might have swapped two of them,

(5c2) or 10 possible combinations,how he could find the pair with 2 trials?

 

Spoiler for for 5 eggs, it's easy with digital scale

 

I started working out a similar solution for 10, but didn't have enough time to finish it yet. I'm trying to do it in 3 weighings using a digital scale, but so far, looks like it will require 4. Maybe a combination of digital/balance could be optimal. Is it allowed?


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#9 TimeSpaceLightForce

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Posted 02 September 2014 - 09:13 PM

Spoiler for

 

 

 

 

 

 


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#10 TimeSpaceLightForce

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Posted 02 September 2014 - 09:37 PM

I could only wonder how many eggs are possible with 3 trials 

Lets allow the combination of scales to reduce the 66 combination into 3 trials.

3 trials is usual for weighing puzzle..


Edited by TimeSpaceLightForce, 02 September 2014 - 09:37 PM.

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