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Safe and sound (Posted on 2013-07-09) Difficulty: 3 of 5

                +---+                +---+
                | 3 |----------------| 6 |          
                +---+                +---+
               /  |  \              /  |
              /   |   \     D      /   |
             /    |    \          /    |
            /     |     \        /     |
           /      |      \      /      |
      +---+       |       +---+        |
      | 1 |   A   |  B    | 4 |    E  `| 
      +---+       |       +---+        |
           \      |        /   \       |
            \     |       /     \      |
             \    |      /       \     |
              \   |     /    C    \    |
               \  |    /           \   |
                \ |   /             \  |
                 +---+               +---+
                 | 2 |---------------| 5 | 
                 +---+               +---+
The diagram above represents the layout of a new prison.
  1. There are 21 guards, 45 prisoners, six towers for the guards and five compounds for the prisoners.
  2. The towers are numbered from 1 to 6 and the compounds lettered A to E.
  3. All of the compounds are triangular in shape and have a guard tower in each of the three corners.
  4. The number of prisoners in a compound is equal to the total number of guards in the towers on the corners of the compound.
  5. There are 11 prisoners in compound A, one guard in tower number 2, four guards in tower number 3.
  6. At least one guard must be in each tower.
  7. No two towers contain the same number of guards.
  8. No two compounds contain the same number of prisoners.
Based on the clues given above, determine the number of guards in each of the six towers?

No Solution Yet Submitted by K Sengupta    
Rating: 2.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
First Guess Comment 2 of 2 |

1) 6, 2) 1, 3) 4, 4) 2, 5) 5, 6) 3

A 11, B 7, C 8, D 9, E 10

4) 5) & 6) HAVE TO BE ANY ONE OF 2,3 OR 5 SO SOLVING FOR THEIR SUMS 


  Posted by Salil on 2013-07-11 01:43:43
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