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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:
Who scored the Bullseye?

No Solution Yet Submitted by K Sengupta    
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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
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