There are 25 horses and five tracks. There is no stop clock
and we have to find the top 5 horses in the bunch. What is
the minimum possible races ?
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Answer Posted / mohini
there will be 7 races.
let divide 25 horses into 5 groups a,b,c,d,e.
after 5 races, let their ranks be a1,a2,a3,a4,a5
b1,b2,b3,b4,b5
c1,c2,c3,c4,c5
d1,d2,d3,d4,d5
e1,e2,e3,e4,e5
total races =5
now 1 race between a1,b1,c1,d1,e1
let a1 wins with the ranking a1,b1,c1,d1,e1
that means a1 is the winner
now a2 can be on the second position since it is after a1
in one race also b1 can also be second because in second race it was after a1.
similarly a3 can be third due to frst race and also b2 can be third if a1,b1 wins
likeise c1 was also on third number.
hence the 6 selected horse are
a1,a2,a3
b1,b2
c1 in which a1 is the first.
now there b race btween a2,a3,b1,b2,c3 that will decide 2nd,, 3rd, 4th n 5th winner.
hence total race= 5+1+1=7
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