## Puzzle of the Day : 28

*25 Horses*

*25 Horses*

**There are 25 horses. What is the minimum of race needed so you can identify the fastest 3 horses ? You can race up to 5 horses at a time , but you do not have a watch. **

Categories:
Puzzle Of The Day, Question of the day

**There are 25 horses. What is the minimum of race needed so you can identify the fastest 3 horses ? You can race up to 5 horses at a time , but you do not have a watch. **

**Make group of 5 horses and run 5 races. Suppose five groups are a,b,c,d,e and next alphabet is its individual rank in tis group(of 5 horses).for eg. d3 means horse in group d and has rank 3rd in his group. [ 5 RACES DONE ]**

**a1 b1 c1 d1 e1**

**a2 b2 c2 d2 e2**

**a3 b3 c3 d3 e3**

**a4 b4 c4 d4 e4**

**a5 b5 c5 d5 e5**

**Now make a race of (a1,b1,c1,d1,e1).[RACE 6 DONE] suppose result is a1>b1>c1>d1>e1**

**which implies a1 must be FIRST.**

**b1 and c1 MAY BE(but not must be) 2nd and 3rd.**

**FOR II position, horse will be either b1 or a2**

**(we have to find top 3 horse therefore we choose horses b1,b2,a2,a3,c1 do racing among them [RACE 7 DONE].**

**The only possibilities are :**

**c1 may be third**

**b1 may be second or third**

**b2 may be third**

**a2 may be second or third**

**a3 may be third**

**The final result will give ANSWER. suppose result is a2>a3>b1>c1>b2**

**then answer is a1,a2,a3,b1,c1.**

**HENCE ANSWER is 7 RACES**

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