Math 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: Step one: First you will make 3 trips of 1,000 grapes up to 333 kilometers. You will be left with 2,001 grapes and 667 kilometers to go. Step two: Next you will take 2 trips of 1,000 grapes 500 kilometers. You will be left with 1,000 grapes and 167 kilometers to go (you have to leave a grape behind). Step three: Finally, you travel the last 167 kilometers with one load of 1,000 grapes and are left with 833 grapes in the city.

Answer: 14

Answer: n i n e t y n i n e o n e h u n d r e d (10 letters in each number!!!!!!!!😁)

Answer: The gold weighs more.

In avoirdupois weight (feathers are measured in this way), one ounce = 437.5 grains. In troy weight (gold is measured in this way), one ounce = 480 grains.