|
|
Post by mowlick on Mar 10, 2023 18:33:04 GMT
The king is looking for a new treasurer, so he takes the applicant to his treasury. Which contains ten piles of gold bars. Every pile contains exactly the same number of gold bars. Each gold bar weighs 1 kilo. Except for the bars in one pile, which are all 1 gram underweight. “Now,” says the king. “Here is a weighing machine. It is amazingly strong and incrediably accurrate, but you can only use it once.” “So,” the king continued. “I want you to take the weighing, do what you have to do and then tell me which pile contains the underweight gold bars.” So the applicant takes the weighing machine, uses it once and tells the king which pile contains the underweight gold bars
How did he do it? |
|
|
|
Post by Prince Myshkin on Mar 10, 2023 19:33:38 GMT
I would take 10 bars one from each pile and place them on the machine one at a time keeping a running total in my head so I would know which one is underweight. Is that allowed?
|
|
|
|
Post by mowlick on Mar 10, 2023 20:00:44 GMT
I would take 10 bars one from each pile and place them on the machine one at a time keeping a running total in my head so I would know which one is underweight. Is that allowed? Not quite.
You can only use the machine once.
But it is a good start ![[thumbsup]](http://storage.proboards.com/6870873/images/JTWDGX0WSTuhvZHmeENd.gif) |
|
|
|
Post by Prince Myshkin on Mar 10, 2023 20:58:25 GMT
I would take 10 bars one from each pile and place them on the machine one at a time keeping a running total in my head so I would know which one is underweight. Is that allowed? Not quite.
You can only use the machine once.
But it is a good start Well I'm only using it once, just loading one by one instead of plopping them all down at once. ![[tongue]](http://storage.proboards.com/6870873/images/IgLQhqrYFakygiihCBvT.gif) |
|
|
|
Post by mowlick on Mar 10, 2023 21:49:52 GMT
Not quite.
You can only use the machine once.
But it is a good start Well I'm only using it once, just loading one by one instead of plopping them all down at once. Come to think on it, you are right.
I would take a bar from the first pile, two bars from the second, three bars from the third etc and then weight them. Then if the gold was say, two grams underweight, I would know that it came from the second pile.
|
|
|
|
Post by Prince Myshkin on Mar 11, 2023 2:34:52 GMT
Well I'm only using it once, just loading one by one instead of plopping them all down at once. Come to think on it, you are right.
I would take a bar from the first pile, two bars from the second, three bars from the third etc and then weight them. Then if the gold was say, two grams underweight, I would know that it came from the second pile.
Genius! ![[laugh]](http://storage.proboards.com/6870873/images/kPFtBpkwzwpFTaSmbFWI.gif)
Great IQ test!
|
|
|
|
Post by Flying Monkeys (Flying/Monkeys on Mar 11, 2023 8:01:51 GMT
Well I'm only using it once, just loading one by one instead of plopping them all down at once. Come to think on it, you are right.
I would take a bar from the first pile, two bars from the second, three bars from the third etc and then weight them. Then if the gold was say, two grams underweight, I would know that it came from the second pile.
That's pretty good. |
|
