We know little about this Greek mathematician from Alexandria, called the father of algebra, except that he lived around 3rd century A.D.

100 measures of corn must be divided among 5 workers, so that the second worker gets as many measures more than the first worker, as the third gets more than the second, as the fourth gets more than the third, and as the fifth gets more than the fourth. Where w is amount of corn for the first worker, d is the difference (amount of corn) between two consecutive workers. If it were two hours later, it would be half as long until midnight as it would be if it were an hour later.

What is the exact time (to the millisecond) when this occurs, and what angle will they form with the second hand? There are 4 cars needed, including the car with the important letter (which travels to the middle of the desert).

Your mission is to fly around the globe above the South Pole with at least one airplane, and in the end, all the airplanes must return to the airport. Divide the way from pole to pole to 3 thirds (from the North Pole to the South Pole 3 thirds and from the South Pole to the North Pole 3 thirds). 1st step - 2 aeroplanes to the first third, fuel up one aeroplane which continues to the second third and the first aeroplane goes back to the airport. 2nd step - 2 aeroplanes fly again from the airport to the first third, fuel up one aeroplane which continues to the second third and the first aeroplane goes back to the airport. Here's a variation on a famous puzzle by Lewis Carroll, who wrote Alice's Adventures in Wonderland. A group of 100 soldiers suffered the following injuries in a battle: 70 soldiers lost an eye, 75 lost an ear, 85 lost a leg, and 80 lost an arm. Another way to solve it is to draw a line of 100 parts and compare injuries from opposite ends of the line, finding the intersection part of all 4 injuries. There is exactly as much tonic in the glass of fernet as there is fernet in the glass of tonic. An anthropologist studying a primitive tribe in a remote location in the Amazon basin, had uncovered a strange tribal custom.

If there are n unfaithful husbands (UHs), every wife of an UH knows of n-1 UH's while every wife of a faithful husband knows of n UHs. Connect all 9 dots with 4 straight lines without lifting the pencil off the paper, and without going over the same line twice. Enjoy connecting dots of matching colors (three in a row) by swiping them around the screen. The New York train will be closer to New York by approximately one train length because they're coming from different directions. If we made a circle of wire around the globe, that is only 10 meters (0.01 km) longer than the circumference of the globe, could a flea, a mouse, or even a man creep under it?

Thanks to an admirer of his, who described his life by means of an algebraic riddle, we know at least something about his life.

C., Egyptian scribe Ahmes, made a transcript of even more ancient mathematical scriptures dating to the reign of the Pharaoh Amenemhat III. The first can fill the entire pool with water in two days, the second - in three days, the third - in four days, and the last one can fill the pool in 6 hours. Then from the middle of this foot-bridge lay another foot-bridge to the edge (corner) of the castle.

There is no petrol station in the desert, and the car's fuel tank is just enough to take it half way across. That total means that, at a minimum, 100 soldiers (it is, of course, not 100 soldiers, but 100 as calculation from 310 person-injuries out of 400 possible) lost 3 body parts, and 10 (the remainder when dividing 310 by 100) must have lost all 4 body parts.

Pour 3 cl of tonic into the glass with fernet and after mixing thoroughly, pour 3 cl of the mixture back into the glass with tonic water.

By the way, it is clear that one inhabitant must be baldy, otherwise there wouldn't be a single man in the town. Whereby, if a husband found out his wife was unfaithful to him, he must execute her in a public ceremony in front of the whole tribe on the same day at midnight. There must be stated that x does not equal y, because there would be dividing by zero, which is not defined in maths. Scores are recorded on a high score list so you can compete against with friends or your own past scores.

The given situation (when the hour and minute hands overlay) occurs in 12 hours exactly 11 times after the same time. Due to a regrettable miscalculation the raiders have brought footbridges, which are only 9.5 meters long. There are other cars with the same fuel capacity that can transfer their petrol to one another. The way between the military base (where the cars and petrol is) and the middle of the desert can be divided into 3 thirds.

In the meantime, the aeroplane at the second third having full tank flies as far as it can (so over the South Pole to the last third before the airport). So it is a fifty cent piece and a nickel - it said ONE isn't a nickel, but the OTHER ONE IS! It so happened that every man in the tribe knew about every cheating wife except his own, since telling a man about his cheating wife was against the tribal honor code. Then all the wives but one know that there is just one UH, but the wife of the UH thinks that everyone is faithful. There is no problem proving that the angle between the hours hand and the seconds hand is 131 degrees. Upon hearing that "there is at least one UH", the wife realizes that the only husband it can be is her own, and so shoots him.

Each wife of an UH assumes that the situation is "only one UH in town" and so waits to hear the other wife (she knows who it is, of course) shoot her husband on the first night. The wife of the second UH makes the same deduction when no shot is fired the first night (she was waiting, and expecting the other to shoot, too). So they both figure it out after the first night, and shoot their husbands the second night. It is easy to tidy up the induction to show that the n UHs will all be shot just on the n'th midnight.

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