Logic Riddles

 
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By gandalf

Question: There are two sisters: one gives birth to the other and she, in turn, gives birth to the first. Who are the two sisters?

Answer: Day and night.

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Question: Before man discovered Mt. Everest, what was the tallest mountain in the world?

Answer: Still Mt. Everest, it doesn't have to be discovered to be the tallest.

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Question: A town only has one barber (he is male). The barber only shaves all of the people who do not shave themselves.

So who shaves the barber?

Answer: It's a paradox, if he shaves himself then the second sentence would be false because he only shaves those who do not shave themselves. If he does not shave himself, then according to the second statement he must shave himself.

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Question: A man and his boss have the same parents, but are not siblings. How is this possible?

Answer: He is self-employed. He is his own boss.

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Question: The London Racetrack needs to submit its 3 fastest horses to the Kentucky Derby out of 25 horses. However, all of their information was lost and they don't know any of the horse's times. Similarly, they all look identical so they can't remember who's fastest.

They can only race 5 horses at once, so what is the fewest number of races they can conduct to find the 3 fastest horses?

Answer: 7 races are required.

First you divide the 25 horses into 5 groups of 5. You conduct the 5 races and take all of the fastest horses in those races and have a race with them, giving you the fastest horse. Then you take the remaining 24 horses (excluding the fastest) and remove the 4th and 5th horses in the first set of 5 races (since they definitely have 3 horses faster than them), leaving you with 14 horses. Next you can remove all of the horses that were beat in the preliminary race by the horses that got 4th and 5th in the championship race, leaving you with 8 horses. Finally, you can remove the horses that remain that lost to the 3rd place horse in the final race in the preliminary race and the horse that got 3rd in the preliminary to the horse that got 2nd in the championship race, leaving you with 5 horses.

You can then run a final race where the 1st and 2nd place horses are the 2nd and 3rd fastest. Then you know the 3 fastest horses.

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