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?
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.
Question: You have a glass of water that looks about half full. How can you tell, only using the glass of water itself, if the glass is half full or not?
The glass is a right cylinder.
Answer: Tip the glass of water until the water reaches the rim of the glass and if the water lines up perfectly with the bottom rim of the glass, it is half full.