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 / niraj singh
Answer = 10 races ....
Divide the horses in 5 group a,b,c,d,e. Since there are 5 tracks and assuming only one horse can run on one track hence one group of 5 can run at a time
1. Make each group race once and mark the position of each horse in the group as 1,2,3,4,5. So we have total of 5 races in this way.
2. Take the top horses of all the groups and make them run. The winner of this race is fastest horse of all. Promote the second horse of the winner group to 1. This constitute of 6th race.
3. Now take the first of all groups and do a race. This gives you horse for 2nd position. Again promote the next horse from the winner group. This constitutes of 7th race.
4. Now take the first of all groups and do a race. This gives you horse for 3rd position. Again promote the next horse from the winner group. This constitutes of 8th race.
5. Now take the first of all groups and do a race. This gives you horse for 4th position. Again promote the next horse from the winner group. This constitutes of 9th race.
6. Now take the first of all groups and do a race. This gives you horse for 5th position. Again promote the next horse from the winner group. This constitutes of 10th race.
So total of ten races is required to find the top 5 horses
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