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What is the minimum number of races required to pick the
best three horses from 25 horses if each race has maximum of
5 horses?
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Answer Posted / ashutosh upadhyay
I calculated 8 races. Here is the logic
1. 5 races, R1 to R5 s.t. each race has 5 horses and every
horse appears in exactly one of R1 to R5. Discard 4th and
5th positioned horses. Note that 3rd positioned horses
cannot be discarded as 3rd horse of Ri may be faster than
toppers of other 4 races.
2. R6 between 1st ranked horses of races R1 to R5. Topmost
ranked horse is the fastest horse.
3. R7 between
- 2nd and 3rd toppers of R6
- 2nd position holders of those three races of R1 to
R5 whose topmost horses were ranked in top 3 in R6.
Winner of R7 is the 2nd fastest horse.
4. R8 between
- All horses except winner from R7
- 3rd position holder of the race out of R1 to R5 whose
topmost horse won R6.
Fastest horse will be 3rd fastest horse.
| Is This Answer Correct ? | 1 Yes | 12 No |
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