All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Logic
Bullseye II (Posted on 2014-02-25) Difficulty: 3 of 5
  1. Riley, Ricardo and Reuben each fired six shots, and each got 71 points.
  2. Riley's first two shots scored 22 points and Ricardo’s first shot scored only 3 points.
  3. The scores for the 18 shots were as follows:
                  50-----1
                  25-----2
                  20-----3
                  10-----3
                  05-----2
                  03-----2
                  02-----2
                  01-----3
Who scored the Bullseye?

No Solution Yet Submitted by K Sengupta    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Slightly different solution | Comment 2 of 3 |

We observe that whoever scored the bullseye must also have scored a 3, since the only way to make 21 out of the remaining five shots, given the constraints in the problem, would be 10-5-3-2-1.

Riley obviously didn't score the bullseye.

Suppose Reuben scored a 3.  Then by symmetry, we'd have no way of determining whether Ricardo or Reuben scored the bullseye (and thus the puzzle wouldn't have unique a solution).

So we must assume that Reuben did not score a 3, and thus Ricardo scored the bullseye.

 


  Posted by tomarken on 2014-02-25 14:09:52
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 (3)
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