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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 / dharshanah n
The above one was one easier answer. But there is one more efficient answer. It can be done in 7 races
First 5 rounds for 25 horses ( 5 sets A, B, C, D ,E) - Each set 5 horses.
you can eliminate the 4th and 5th position horses from all the 5 sets because they already have 3 horses before them. So now 10 horses eliminated 15 remaining. that is 3 horses each in the sets A , B, C , D, E
6th round - race all the fastest horses from the first 5 rounds. The winner will be the fastest of all the horses. So now we have found the top horse. The horses in the 4rth and 5th positions can be eliminated along with the remaining 2 in their respective sets . So now 6 are eliminated - 9 remaining of which 3 are from first set, 3 from second set and 3 from third set
Now you can eliminate the last two from 3rd set as they have more than 3 horses faster than them - so now 7 remaining - 3 from first set, 3 from second set, 1 from third set.
Similarly you can eliminate the last horse from the second set as it has more than three horses faster than it. So now 6 remaining - 3 from first set, 2 from second set, 1 from third set. The first horse from the first set is the fastest as proved earlier. So now we have to find the 2nd and 3rd position among five horses remaining - two from first set, one from second and third set each
7th round - race the five horses to find the 2nd top and 3rd top horse
| Is This Answer Correct ? | 9 Yes | 11 No |
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