A person needs to find the fastest two horses from 16 horses. Only a race of 4 horses can be conducted at a time. What is the minimum number of races to be conducted to determine the fastest 2? Assume that the horses will not get tired at all, and time can't be measured
[Mental Ability Practice question- NTSE stage 2]
Answers
Given : A person needs to find the fastest two horses from 16 horses. Only a race of 4 horses can be conducted at a time.
the horses will not get tired at all, and time can't be measured
To Find : What is the minimum number of races to be conducted to determine the fastest 2? Assume that
Solution:
Divide 16 horses in 4 group :
H1 , H2 , H3 , H4
H5 , G6 , H7 , H8
H9 , H10 , H11, H12
H13 , H14 , H15 , H16
4 Races , one of Each group to select 2 fastest horses from each group
Now 8 horses are shortlisted
make 2 group of remaining 4 horse
Two Race of Each group to select 2 fastest horses from each group
Then to have Last and final race between 4 fastest horses.
Hence Total 4 + 2 + 1 = 7 Races
minimum number of races to be conducted to determine the fastest 2 = 7
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