You need to find our the fastest three (in order) out of six
horses. You have a racing track in which three horses can
run at the same time. What is the minimum number of races
required? Taking notations as A1,A2,A3 and B1,B2,B3 for 6
horses, explain your answer. (You don't have any time
measurement tool.)
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Answer / apoorv
3 races ..first do race b/w the any three .. let race is held b/w a1,a2,a3 ... record who came first and second and third. now hold another race b/w b1,b2,b3 ... record their ranking. let a1 and b1 came first in their respective races... now hold another race b/w a1 and b1... and a2/b2.(m taking a2). CASE1 suppose a1 came first then a2 came second and b1 came third.. then a1 is the fastest a2 is lil slower, and b1 is slowest of three... CASE2 if b1 came first then another race is held b/w b1 b2 a1.. to see whos the fastest.... So minimum races req. is 4! (a3 and b3 are left as we now know they couldnt be in top 3)
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Answer / swathi
ANSWER: 5
first a race b/w A1 A2 A3.let A1 be the 1st nd A2 2nd.
2nd race b/w B1 B2 B3.let B1 be the 1st nd B2 2nd.
3rd race b/w A1 and B1.let again A1 be the 1st,B1 be 2nd.
4th race b/w A2 B2 nd B1.then A2 be 1st nd B1 be 2nd.
5th race b/w A3 nd B1.let B1 be 1st.
then sequelly A1 A2 nd B1, will be the fastest running
horses.
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Answer / jitendra
one race is enough by utilising the same track on both sides
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Answer / neethutata
5 Races.
If the horse winning the race are as per given in the order,
then the races will be :
1st race : A1,A2,A3
2nd " :B1,B2,B3
3rd " : A1,B1,B2
4th " : A2, A3,B3
5th " : A1, B1,A2
| Is This Answer Correct ? | 1 Yes | 4 No |
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