All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info
Home > Logic
Logic problems. The solution to these problems does not usually require a lot of math, but will take some thinking until you find the right approach.
Sub-Categories (All Problem Categories)
> Liars and Knights> Weights and Scales
Difficulty: 2 of 5 Latest: Leave no stone unturned Rating: 4.00
There are three virtual piles of stones. In one operation one may add to, or remove from, one of the piles the number of stones equivalent to the quantity in the other two piles combined, leaving the numbers in those two piles unchanged.
Thus, e.g., (12,3,5) can become (12,20,5) by adding 12+5=17 stones to the second pile, or (12,3,5) can become (4,3,5) by removing 3+5=8 stones from the first pile.

Assume a starting state (1111,111,11).
Is it possible, by a sequence of such operations, reach a state where one of the piles is empty?

(No Solution Yet, 5 Comments) Submitted on 2017-03-19 by Ady TZIDON   
Page 1 of 40   next >>    
Difficulty: 2 of 5An easy whodunit | Rating: 3.50
Posted on 2017-03-08 by Ady TZIDON (Solution Posted, 8 Comments)
Difficulty: 3 of 5Off and On | Rating: 3.00
Posted on 2017-01-29 by Charlie (Solution Posted, 1 Comments)
Difficulty: 1 of 5Beginning of the Month | Rating: 5.00
Posted on 2017-01-09 by Charlie (Solution Posted, 2 Comments)
Difficulty: 3 of 5A's, B's, C's and D's | Rating: 3.00
Posted on 2016-12-30 by Charlie (Solution Posted, 1 Comments)
Difficulty: 3 of 5Who discovered the secret? |
Posted on 2016-12-27 by ollie (No Solution Yet, 4 Comments)
Difficulty: 3 of 5Traveling with Luggage | Rating: 3.00
Posted on 2016-12-15 by Brian Smith (No Solution Yet, 2 Comments)
Difficulty: 3 of 5Your conclusion requested | Rating: 3.67
Posted on 2016-11-03 by Ady TZIDON (No Solution Yet, 9 Comments)
Difficulty: 3 of 5Why not marry? |
Posted on 2016-10-19 by Ady TZIDON (Solution Posted, 6 Comments)
Difficulty: 3 of 5Mismatch Muse |
Posted on 2016-10-18 by K Sengupta (No Solution Yet, 1 Comments)
Difficulty: 3 of 5Bridge Cross Baffle |
Posted on 2016-10-10 by K Sengupta (No Solution Yet, 3 Comments)
Difficulty: 1 of 5True Statement Settlement | Rating: 3.50
Posted on 2016-10-06 by K Sengupta (No Solution Yet, 2 Comments)
Difficulty: 3 of 5Numbers' quantifiers |
Posted on 2016-09-23 by Ady TZIDON (No Solution Yet, 4 Comments)
Difficulty: 3 of 5Bonne chance |
Posted on 2016-09-02 by Ady TZIDON (Solution Posted, 2 Comments)
Difficulty: 1 of 5Empty or fool ?? |
Posted on 2016-09-01 by Ady TZIDON (No Solution Yet, 1 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 (7)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information