Math Riddles

 

Question: Hard, Harder, and Hardest are brothers. By age from youngest to oldest, it goes Hard, Harder, Hardest. Hard is half the age of Hardest who is 20 which means hard is 10. Harder has a two-year difference between the number of years older he is than Hard and the number of years younger he is than Hardest. Harder is closer to the age of Hard than Hardest. How old is Harder?


Question: You have 3,000 grapes with you. You have to send these grapes to a city which is 1000 km from your farm. These are the rules that you have to follow; ◾Your truck can carry only 1,000 grapes at a time. ◾Every time you travel a kilometer towards the city you have to pay a toll tax of 1 grape. ◾You pay nothing when going in the other direction. (towards your farm) What is highest number of grapes you can get to the city?

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?

Question: A bat and a baseball together cost $1.10. The bat costs a dollar more than the ball. How much does the baseball cost?

Question: There are three men and a judge. The judge has 5 hats. Three of them are red and two of them are white. The judge says "Close your eyes, I am going to place a hat on each of your heads, who ever can guess what color hat they are wearing can go free." Facts: 1. The three men are standing in a line facing the judge. Where person three can see person two, one and the judge. Person two can see person one and the judge, person one can see the judge. Person three opens his eyes first, then person two, then person one goes last. 2. Each person can hear the others response. 3. The additional 2 hats are not visible 4. Person one guesses correctly. Question: What color hat is person one wearing and how do you know?