Three professors were discussing over how long they have been teaching. Andrew and Beyonce have been teaching for a total of thirty six years. Curt and Beyonce have been teaching for a total of twenty two years. Curt and Andrew have been teaching for a total of twenty eight years. Can you find out how long have each of them been teaching?
I live on Sunset Boulevard, where there are 6 houses on my side of the block. The house numbers are consecutive even numbers. The sum of all 6 house numbers is 8790. You don’t know which block I live on, and it’s a long street, but I will tell you that I live in the lowest number on my side of the block. What’s my address?
Four friends are going to a concert. When they arrive, there are only five seats together left in the theater. The manager will let all four friends in for free if one of them can tell her how many different seating arrangements are possible for four people with five empty seats. All four are let in free. Could you have given the correct answer?
A hunter met two shepherds, one of whom had three loaves of bread and the other, five loaves. All the loaves were the same size. The three men agreed to share the eight loaves equally between them. After they had eaten, the hunter gave the shepherds eight bronze coins as payment for his meal. How should the two shepherds fairly divide this money?
A bus company has recently expanded and no longer has enough room for all of its buses. Twelve of their buses have to be stored outside. If they decide to increase their garage space by 40%, this will give them enough room for all of their current buses, plus enough room to store another twelve in the future. How many buses does the company currently own?
James ordered a fishing rod. Unfortunately, James is an Eskimo who lives in a very remote part of Greenland and the import rules there forbid any package longer than 4 feet to be imported. The fishing rod is 4 feet and 1 inch, just a little too long, so how can the fishing rod be mailed to James without breaking the rules? The fishing rod has to arrive in one piece.
A man phoned his daughter to ask her to buy a few things he needed for a trip. He told her she would find enough dollar bills for the purchases in an envelope on his desk. She found the envelope with 98 written on it. In a store she bought $90 worth of things, but when it was time to pay she not only didn’t have $8 left over but she was short. By how much was she short of cash, and why?
A boy saw a shirt for $97 but does not have enough cash. So he borrowed $50 from his mom and another $50 from his dad. He bought the shirt, and got back $3 as change. He gave his dad $1 and his mom $1 and kept the other $1 for himself. Now mom and dad paid $10 each and got back $1 each. So they paid $49 each, totaling $98. The boy has another $1, adding up to $99. Where is the missing dollar?
Last week Tom decided to cycle to his grandmother’s house. On the first day, he cycled half of the distance. On day 2, he cycled one half of the remaining distance. On day 3, he cycled three quarters of the remaining distance. On day 4, he cycled 10 miles. On day 5, he cycled two thirds of the remaining distance and on the final day he cycled the remaining 5 miles. How far is it to his grandmother’s house?
There is a bottle recycling bin, with one lonely bottle inside. Every hour, on the hour, people come and put bottles into the skip. The first hour, at noon, one person came and put a bottle in. One hour later, two people placed a bottle each into the skip. An hour later four people placed a bottle each into the skip. This doubling of people continued until 11pm, when the bin was finally full. When was the bin exactly half full?
A farmer must transport a wolf, a sheep and cabbage from one side of a river to another using a boat. But in crossing the river by boat, the farmer could carry only himself and a single item – the wolf, the sheep or the cabbage. If left together, the wolf would eat the sheep, or the sheep would eat the cabbage. How can the farmer transport the wolf, the sheep and the cabbage across the river without losing any of them?
A collective farm was due to deliver its quota of grain to the state authorities. The management of the Kolkhoz decided the trucks should arrive in the city at exactly 11:00 A.M. If the trucks traveled at 30 miles per hour they would reach the city at ten, an hour early; at 20 miles an hour they would arrive at noon, an hour late. How far is the Kolkhoz from the city, and how fast should the trucks travel to arrive at 11:00 A.M.?
Two mathematicians, Tom and Smith are walking down the street. Tom: I know you have three sons. What are their ages? Smith: The product of their ages is 36. Tom: I can’t tell their ages from that. Smith: Well, the sum of their ages is the same as that address across the street. Tom: I still can’t tell. Smith: The eldest is visiting his grandfather today. Tom: Now I know their ages. Do you know the age of the kids?
A farmer challenges an engineer, a physicist, and a mathematician to fence off the largest amount of area using the least amount of fence. The engineer made his fence in a circle and said it was the most efficient. The physicist made a long line and said that the length was infinite. Then he said that fencing half of the Earth was the best. The mathematician laughed at the others and with his design, beat the others. What did he do?
Two old friends, Jack and Bill, meet after a long time. Jack: Hey, how are you man? Bill: Not bad, got married and I have three kids now. Jack: That’s awesome. How old are they? Bill: The product of their ages is 72 and the sum of their ages is the same as your birth date. Jack: Cool… But I still don’t know. Bill: My eldest kid just started taking piano lessons. Jack: Oh now I get it. How old are Bill’s kids?
