BMAD

An Arab sheikh is old and must will his fortune to one of his two sons. He makes a proposition. His two sons will ride their camels in a race, and whichever camel crosses the finish line last will win the fortune for its owner. During the race, the two brothers wander aimlessly for days, neither willing to cross the finish line. In desperation, they ask a wise man for advice. He tells them something; then the brothers leap onto the camels and charge toward the finish line. What did the wise man say?

Correct! Care to explain your answer.

I will give it to Phillip but

Are these the only cases that work?

darn

that is not what i mean by English representations (i mean spelling the number out) clever alternative answer though

yes. think of these as bar graphs.

You own a pet store. If you put in one canary per cage, you have one canary too many. If you put in two canaries per cage, you have one cage too many. How many canaries and cages do you have?

A man is the owner of a winery who recently passed away. In his will, he left 21 barrels (seven of which are filled with wine, seven of which are half full, and seven of which are empty) to his three sons. However, the wine and barrels must be split so that each son has the same number of full barrels, the same number of half-full barrels, and the same number of empty barrels. Note that there are no measuring devices handy. How can the barrels and wine be evenly divided?

At a family reunion were the following people: one grandfather, one grandmother, two fathers, two mothers, four children, three grandchildren, one brother, two sisters, two sons, two daughters, one father-in-law, one mother-in-law, and one daughter-in-law. But not as many people attended as it sounds. How many were there, and who were they?

Isaac and Albert were excitedly describing the result of the Third Annual International Science Fair Extravaganza in Sweden. There were three contestants, Louis, Rene, and Johannes. Isaac reported that Louis won the fair, while Rene came in second. Albert, on the other hand, reported that Johannes won the fair, while Louis came in second. In fact, neither Isaac nor Albert had given a correct report of the results of the science fair. Each of them had given one correct statement and one false statement. What was the actual placing of the three contestants?

1. Of those numbers whose English representation in capital letters consists only of straight lines, only one number has a value equal to the number of straight line segments required to write it out. What number is this? 2. What word is pronounced differently when the first letter is capitalized? 3. Punctuate the following so it makes sense: "That that is is that that is not is not is not that it it is." 4. What word begins with 'h', ends with 'n', contains six letters, and contains eight words besides itself without transposing a single letter?

I forgot to mention that this bin is a cylinder

before you can prove anything you need to prove two lemmas

Well done Bonanova!

A traveler just came back from where they observed the most 'miraculous' thing. He visited four small towns in four days. Each town was exactly five miles from each other. Never in his life could he have expected to see four towns that were all the same distance from each other. How was this feat achieved?

Are both of these ways possible with the given information?

You were having fun playing with your red and blue balls each identical in weight and type with diameters of 4 inches. Some other person snatched your five balls and through them into the top of a large bin. The bin was 10 feet tall and full of 1000 large balls each with diameter of 2 feet. The bin has a unique function in that every time it receives five balls (regardless of size and weight) the bin closes and shakes violently for five minutes. 1. Assuming the bin was full of these large balls where the tops of the balls matched the top of the container and each ball touches the other balls without bending, how wide is the container? (A range of possible answers will suffice, if necessary) 2. To get your balls back you must ask the technician where they are located, these technicians are easilly bored and will not look far from precisely where you tell them. Where is the best place to have them open the bin to find your balls? (Assume that no balls fall out when the container is open)

Are we to take your question that each ball is unique or that there are identical balls with two distinct colors?

Yes...using Euler is the way to go in the proof.

i agree. I just wanted to see the parsing.