Monday, 12 November 2012

Find top 5 horse from 25 horses

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Question:

how to find top 5 horses from 25 if there are only 5 lanes.In min no. of races?



Solution:

divide 25 horses in set of 5.
1 winner from each set of 5 horses->5 race

Now 1 more race to get overall winner from winner of each set.
if overall winner is from 1st set,consider 2nd horse from 1st set.
Remaining winner from each set and the 2nd horse from 1st set will give 2nd overrall winner.
similarly,next 3 race to find 3rd,4th and 5th horse.
total 10 races required.


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