25 horses puzzle - Wikitechy https://www.wikitechy.com/interview-questions/tag/25-horses-puzzle/ Interview Questions Tue, 07 Sep 2021 11:02:18 +0000 en-US hourly 1 https://wordpress.org/?v=6.9 https://www.wikitechy.com/interview-questions/wp-content/uploads/2025/10/cropped-wikitechy-icon-32x32.png 25 horses puzzle - Wikitechy https://www.wikitechy.com/interview-questions/tag/25-horses-puzzle/ 32 32 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 ? https://www.wikitechy.com/interview-questions/puzzles/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/ https://www.wikitechy.com/interview-questions/puzzles/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/#respond Fri, 06 Aug 2021 08:26:03 +0000 https://www.wikitechy.com/interview-questions/?p=1616

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 ?

We will only need 7 races to get the best three out of 25.

Let us Name horses as H1, H2, H3…H25.

Now,

Race 1 – H1 – H5
Race 2 – H6 – H10
Race 3 – H11 – H15
Race 4 – H16 – H20
Race 5 – H21 – H21

Let us now assume

First Rank of Race 1 – W11
Second Rank of Race 1 – W12
.
First Rank of Race 2 – W21
.
Third Rank of Race 2 – W23

Fifth Rank Of Race 5 – W55

Race 6 – W11 , W21 , W31, W41, W51 ( toppers from first five races)

Race 7 – 2nd from Race 6, 3rd from Race 6, X, Y , Z where

X= 2nd winner from the team of winner of race 6
Y= 3rd winner from the team of winner of race 6
Z= 2nd winner from the team of 2nd winner of race 6

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