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 / munesh
25 horses can be grouped in to A,B,C,D,E groups.
1st Round:
One race for each group. (5 races)
Total Races=5
2nd Round
1 race for the horses came first in 5 races.(1 race)
The horse came first in this race is ranked 1st can
be removed for further races
Select the group of the horse came 5th in this race and the
last 4 with in the group in the 1st round can be eliminated
as already there are 5 horses ahead of those.(4)
Select the group of the horse came 4th in this race and the
last 3 with in the group in the 1st round can be eliminated.
(3)
Select the group of the horse came 3rd in this race and the
last 2 with in the group in the 1st round can be eliminated.
(2)
Select the group of the horse came 2nd in this race and the
last 1 with in the group in the 1st round can be eliminated.
(1)
Total horses taken aside are
1 -------Horse came first in the 2nd round
4+3+2+1 -------Horses came last in the first round
Total horses taken aside are 11.
Remaining horses= 14.
Total Races=6.
3rd Round
Take 10 horses out of 14 horses.
2 races for 10 horses.
The horse came last in each race can be eliminated.
(2)
Total horses taken aside are 11+2=13.
Remaining horses= 12
Total Races=8.
4th Round
Take 10 horses out of 12 horses
2 races for 10 horses.
The horse came last in each race can be eliminated.
(2)
Total horses taken aside are 13+2=15.
Remaining horses= 10
Total Races=10.
5th Round
2 Races for 10 horses.
The horse came last in each race can be eliminated.(2)
Total horses taken aside are 15+2=17.
Remaining horses= 8
Total Races=12.
6th Round
Take 5 horses out of 8 horses.
1 race for 5 horses.
The horse came last in the race can be eliminated.
(1)
Total horses taken aside are 17+1=18.
Remaining horses= 7
Total Races=13.
7th Round
Take 5 horses out of 7 horses.
1 race for 5 horses.
The horse came last in the race can be eliminated.
(1)
Total horses taken aside are 18+1=19.
Remaining horses= 6
Total Races=14.
8th Round
Take 5 horses out of 6 horses
1 race for 5 horses.
The horse came last in the race can be eliminated.
(1)
Total horses taken aside are 19+1=20.
Remaining horses= 5
Total Races=15.
9th round
1 race for 5 horses.
The horse came last in the race can be eliminated.
(1)
Total horses taken aside are 20+1=21.
Remaining horses= 4
Total Races=16.
The horse came 1st in this race can be ranked 2nd.
The horse came 2nd in this race can be ranked 3rd.
The horse came 3rd in this race can be ranked 4th.
The horse came 4th in this race can be ranked 5th.
| Is This Answer Correct ? | 7 Yes | 22 No |
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