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There are 25 horses and five tracks. There is no stop clock
and we have to find the top 5 horses in the bunch. What is
the minimum possible races ?
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Answer Posted / rajesh
I naming the groups as A, B, C, D, E and the position of the horses in the races as 1,2,3,4,5.
Horse that came first is denoted as A1, B1 etc.
Assume: A1, E1, C1, D1 and D2 are the horses that we have to find.
Then following would be the races
Race 1: All 25 horses in groupsof 5. A,B,C,D,E
Race 2: A1, B1, C1, D1, E1 - Say A1 is first - First horse
Race 3: A2, B1, C1, D1, E1 - Say E1 is first - Second horse
Race 4: A2, B1, C1, D1, E2 - Say C1 is first - Third horse
Race 5: A2, B1, C2, D1, E2 - Say D1 is first - Forth horse
Race 6: A2, B1, C2, D2, E2 - Say D2 is first - Fith horse
Assume: A1, A2, A3, A4, A5 are the horses that we have to find.
Then following would be the races.
Race 1: All 25 horses in groupsof 5. A,B,C,D,E
Race 2: A1, B1, C1, D1, E1 - Say A1 is first - First horse
Race 3: A2, B1, C1, D1, E1 - Say A2 is first - Second horse
Race 4: A3, B1, C1, D1, E1 - Say A3 is first - Third horse
Race 5: A4, B1, C1, D1, E1 - Say A4 is first - Forth horse
Race 6: A5, B1, C1, D1, E1 - Say A5 is first - Fifth horse.
So for picking up any 5 out of 25 we always need only 6 races.
| Is This Answer Correct ? | 1 Yes | 5 No |
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