All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info
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)
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 1 of 8   next >>    
Difficulty: 3 of 5From right to left | Rating: 4.00
Posted on 2017-06-01 by Ady TZIDON (No Solution Yet, 2 Comments)
Difficulty: 2 of 5Unbalanced?- No problem | Rating: 4.00
Posted on 2017-05-30 by Ady TZIDON (No Solution Yet, 7 Comments)
Difficulty: 3 of 5Hands off! | Rating: 3.00
Posted on 2017-05-16 by Ady TZIDON (No Solution Yet, 3 Comments)
Difficulty: 3 of 5Ratio Resolution IV |
Posted on 2016-10-20 by K Sengupta (No Solution Yet, 3 Comments)
Difficulty: 3 of 5River Cross Resolution |
Posted on 2016-10-12 by K Sengupta (No Solution Yet, 1 Comments)
Difficulty: 2 of 5Labeling Minimum |
Posted on 2016-08-25 by K Sengupta (No Solution Yet, 4 Comments)
Difficulty: 3 of 5Ball Series Insertion |
Posted on 2016-07-29 by Brian Smith (No Solution Yet, 1 Comments)
Difficulty: 4 of 5Five Pairs of Balls |
Posted on 2016-07-22 by Brian Smith (No Solution Yet, 1 Comments)
Difficulty: 4 of 5Restricted Five Coin Sort |
Posted on 2016-07-14 by Brian Smith (Solution Posted, 1 Comments)
Difficulty: 3 of 5The heavy couple |
Posted on 2016-04-22 by Ady TZIDON (Solution Posted, 5 Comments)
Difficulty: 3 of 5No Equal Weighings | Rating: 3.00
Posted on 2016-04-18 by Brian Smith (Solution Posted, 4 Comments)
Difficulty: 3 of 54 labeled coins | Rating: 3.00
Posted on 2016-02-16 by Ady TZIDON (No Solution Yet, 1 Comments)
Difficulty: 4 of 5The real McCoy |
Posted on 2016-01-29 by Ady TZIDON (No Solution Yet, 1 Comments)
Difficulty: 3 of 5Three Jar Trial |
Posted on 2016-01-25 by K Sengupta (No Solution Yet, 4 Comments)
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (4)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information