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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 / jai ranjan kumar
No of Races : 7
1 RACE(A) A1 A2 A3 A4 A5
2 RACE(B) B1 B2 B3 B4 B5
3 RACE(C) C1 C2 C3 C4 C5
4 RACE(D) D1 D2 D3 D4 D5
5 RACE(E) E1 E2 E3 E4 E5
LAST TWO CAN BE REMOVED FROM EACH GROUPS.
WE HAVE LEFT WITH 9 HORSES.
6 RACE(F) A1->F1 B1->F5 C1->F2 D1->F3 E1->F4
SUPPOSE (CAN BE GENERIC,ANALYS) FROM RACE(F)
NOW F1(A1) IS FASTES HORSE AMONG 25.
ALL HORSES FROM GORUP B AND E CAN BE ELIMINATED(since E1
and B1 is at 4th and 5th position respectivly). AND ANALYS
A BIT, C3, D2 AND D3 ALSO CAN BE ELIMINATED (since in any
senario C3 will max come 4th, D2->4th and D3->5th). NOW
LEFT WITH 5 HORSES.
7 RACE(G) A2 A3 C1 C2 D1
NUMBER OF RACES REQUIRED : 7
| Is This Answer Correct ? | 30 Yes | 7 No |
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