Home > Logic > Weights and Scales
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)
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.)
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Rating: 4.00 Posted on 2017-06-01 by (No Solution Yet, 2 Comments) Ady TZIDON Unbalanced?- No problem
Rating: 4.00 Posted on 2017-05-30 by (No Solution Yet, 7 Comments) Ady TZIDON Hands off!
Rating: 3.00 Posted on 2017-05-16 by (No Solution Yet, 3 Comments) Ady TZIDON Ratio Resolution IV
Posted on 2016-10-20 by (No Solution Yet, 3 Comments) K Sengupta River Cross Resolution
Posted on 2016-10-12 by (No Solution Yet, 1 Comments) K Sengupta Labeling Minimum
Posted on 2016-08-25 by (No Solution Yet, 4 Comments) K Sengupta Ball Series Insertion
Posted on 2016-07-29 by (No Solution Yet, 1 Comments) Brian Smith Five Pairs of Balls
Posted on 2016-07-22 by (No Solution Yet, 1 Comments) Brian Smith Restricted Five Coin Sort
Posted on 2016-07-14 by (Solution Posted, 1 Comments) Brian Smith The heavy couple
Posted on 2016-04-22 by (Solution Posted, 5 Comments) Ady TZIDON No Equal Weighings
Rating: 3.00 Posted on 2016-04-18 by (Solution Posted, 4 Comments) Brian Smith 4 labeled coins
Rating: 3.00 Posted on 2016-02-16 by (No Solution Yet, 1 Comments) Ady TZIDON The real McCoy
Posted on 2016-01-29 by (No Solution Yet, 1 Comments) Ady TZIDON Three Jar Trial
Posted on 2016-01-25 by (No Solution Yet, 4 Comments) K Sengupta
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