Question

9. There are 25 horses among which you need to find out the fastest 3 horses. You can conduct race among at most 5 to find out their relative speed. At no point you can find out the actual speed of the horse in a race. Find out how many races are required to get the top 3 horses
a) 6 b) 7 c) 8 d) 9

Answer 1

The answer is c) 8 races.

Answer 2

THE exact Number of Race Required to find 3 Fastest horse will be 7.

Note- In 7th Race there is a "possibility" that we will able to determined Which horse will come 1st , 2nd or 3rd but there is also possibility that we will only Able to determine Top 3 Horses , in that case we will not be able to say that who will come 2nd or 3rd ( But we will know who will be 1st) So, In order To find who will come 2nd or 3rd We will need one more Race. In that case Total Races would be 8.


But in Question we need to find only Top 3 Horses not who will come 2nd or 3rd. Therefore answer will be 7.