Logic Riddles

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.

Answer: Because the p is silent

Answer: Person 1 is wearing a red hat. He knows his hat is red because: 1. If person three does not know, it means that when he opened his eyes, he didn't see two white hats in front of him. 2. Person two knows that person three did not see two white hats. The only way he could know what color hat he was wearing is if he opened his eyes and saw a white hat. (which means he saw a red hat) 3. Person one knows he is wearing a red hat because if person three doesn't know, then both him and person two don't have white hats. Person would only know what color his hat was if person one was wearing white. Person one knows all of this and concludes his hat is red.

Answer: Honest Abe XD His Statue sits still :)

Answer: The lunar cycle.