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More ways to get Braingle...

Madadian Race Horses

Logic puzzles require you to think. You will have to be logical in your reasoning.

 

Puzzle ID:#18055
Fun:*** (2.37)
Difficulty:*** (2.86)
Category:Logic
Submitted By:mad-adeAhu***
Corrected By:dalfamnest

 

 

 



Mad Ade's rich uncle "Uncle Rich" owned the famous Madadian Race horse breeding stables "The Gluepot".
It has a private race track that has five lanes.
Uncle Rich has 25 horses and wishes to know which are the three fastest.
What is the least number of races needed to be run to find the answer?
Note that it is only the ranking of the horses being found not the actual timings.




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Comments

jimbo*au*
Jun 29, 2004

Cute logic. Nice puzzle badly worded. It should say that they cannot be timed, not just merely that we do not need to know the times. Otherwise the answer would be a boring 5 timed races.
Incidentally I was skeptical of the given answer until I drew a matrix. Isn't it lovely how logic can make obvious what plain commonsense sometimes refuses to grasp.
mad-adeAhu*
Jun 29, 2004

It does say in the question that the horses are not timed, just their rankings are taken into consideration.
horse_luverAca*
Jul 05, 2004

How many racetracks have only 5 lanes???? At most racetracks, any less than 4-5 competitors and a race won't even be run! Otherwise, a good teaser... a little easy though...
mad-adeAhu*
Jul 05, 2004

they do things a little differently in Madadia...
I_am_the_Omega**
Jul 13, 2004

I still don't get why it wasn't only 6 races... first five, you take the fastest from each.... and put them into the sixth... that's only 5 horses left in that race, and you take the top three??
miyukina*
Dec 14, 2005

omega, what u should understand is that even the last horse from winner's 1st round MIGHT be faster than the runner-up in the 2nd round...btw, another great teaser hakken!
bfriedfischtom
Apr 18, 2008

Great one.
Here how I came to the solution:

In the following schema we assume we make all the races and then retrospectively put numbers on them the match the order.
First 5 races the results:
01-02-03-04-05
05-07-08-09-10
11-12-13-14-15
16-17-18-19-20
21-22-23-24-25

#6:Now the winners race result:
01-05-11-16-21

From all of the above, only the following could still be on the list.
01-02-03
05-07
11

01 for sure is the total winner, thus we can make a race with the other 5

#7
02-03-05-07-11

this even gives the exact order (which was not asked for)



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