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These problems relate to objects of different weight, and using a balanced scale to determine the odd item, be it a false coin, or an under-filled sack of grain. (Usually it's coins though)
Difficulty: 2 of 5 Latest: One trial only!
You have 101 coins, and you know that 50 of them are counterfeit.
Every true coin has the same weight, an unknown integer, and every false coin has the same weight, which differs from that of a true coin by 1 gram.
You also have a two-pan pointer scale that will show you the difference in weight between the contents of each pan.

You randomly oick up a coin.
Find in a single weighing whether it’s true or false.

Source:Sergei Aleksandrovich Genkin, Dmitrii Vladimirovich Fomin, and Ilia Itenberg, Mathematical Circles: (Russian Experience), 1996.)
(No Solution Yet, 1 Comments) Submitted on 2018-10-22 by Ady TZIDON   
Page 2 of 8   << prev next >>    
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Posted on 2016-01-18 by Ady TZIDON (No Solution Yet, 6 Comments)
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Difficulty: 3 of 5Two Light Coins |
Posted on 2015-12-09 by Brian Smith (Solution Posted, 1 Comments)
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Difficulty: 3 of 5Nine Marbles | Rating: 4.00
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Difficulty: 3 of 5Pumpkins 4 | Rating: 4.00
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Difficulty: 3 of 5Pumpkins 3 | Rating: 4.00
Posted on 2014-01-22 by K Sengupta (No Solution Yet, 6 Comments)
Difficulty: 3 of 5One out of ninety | Rating: 4.00
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Difficulty: 4 of 5Feet-Inch Transpose |
Posted on 2013-12-06 by K Sengupta (No Solution Yet, 7 Comments)
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