There are 25 horses and only five tracks in a race.
How do you find the second coming horse of all the 25
horses, provided there is no stop clock? (obviously, a
horse cannot participate more than once in a race).
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Answer Posted / hacker
Solution: the answer is 7 races.
Step 1: First, we group the horses into groups of 5 and race each group in the race course. This gives us 5 races.
W11 W12 W13 W14 W15
W21 W22 W23 W24 W25
W31 W32 W33 W34 W35
W41 W42 W43 W44 W45
W51 W52 W53 W54 W55
Step 2:we race the 5 level 1 winners(w11,w21,w31,w41,w51) ans assume winning order of this race is w11,w21,w31,w41,w51
Step 3: BECAUSE WE NEED TOP 3 AND W41 HAS COME 4TH Position that is the reason we don't need to consider W41 W42 W43 W44 W45 and also W51 W52 W53 W54 W55
now we have
W11 W12 W13 W14 W15
W21 W22 W23 W24 W25
W31 W32 W33 W34 W35
Step 4: because we need top 3 then dont need W14 W15 W24 W25 W34 W35
now we have
W11 W12 W13
W21 W22 W23
W31 W32 W33
Step 5: because in 6th race W31 has come on 3rd position that is the reason we do not need to consider W32,W33 and also we will not consider W23
now we have
W11 W12 W13
W21 W22
W31
Step 6: top 1 is already achieved which is W11(winner of 6th race)
remaining are
W12 W13
W21 W22
W31
Step 7: now race W12 w13 w21 w22 w31 to get 2nd and 3rd winner
Hence answer is 7 races.
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