Solution: Birthday problem
This is the solution to the Birthday problem. The fun Three friends, Javi, Juan and Manolo, all mathematicians, want to celebrate the third anniversary of the presentation of the IMUS Blog by a mutual friend, […]
solutions
Solution: geometric construction of Pi
We publish here the solution to the divertimento about the geometric construction of pi. The problem is extracted from a paper by Thomas Osler. Divertimento Justify the following construction: Draw the unit square and the […]
Solution: Who killed David?
We publish here the solution to the divertimento Who killed David?. The fun Detective O’Thales and his assistant Mathson were asked by the police to help them solve a mysterious murder that had taken place […]
Solution: Beetles
We publish the solution to the Beetles divertimento. This problem was proposed by Jean-Paul Delahaye, based on an earlier problem popularised by Peter Winkler. The fun Nine beetles are placed in a circular loop whose […]
Solution: Forgotten formula
We publish here the solution to the divertimento Forgotten formula. The fun A student taking an exam on the applications of Trigonometry is asked for the area of a trapezoid of which the two bases […]
Solution: Conversations during the Last Supper
This is the solution to the Divertimento Conversations during the last supper. The fun A group of \(n\) people agree to have dinner together on different evenings. Each time they sit around a round table […]
Solution: Three portions of cheese
We publish the solution to the Three Pieces of Cheese divertimento. The Fun Three friends buy a cheese weighing 1800 g. The first of them cuts it into three pieces. The second decides to weigh […]
Solution: Three-way billiards
We are publishing the solution to the divertimento Three-way billiards. The Fun Billiards is a game or sport that raises interesting questions. Today we pose the following one. We consider a billiard table, \(OABC\), where \(OC=AB=2\) […]
Solution: Pirates
We now publish our solution to the Pirates divertimento. The divertimento: Legend has it that a pirate sailing ship arrived at a remote island pursued by Spanish galleons, where the captain hid the loot he […]
Solution: Pendulum Clocks
We publish the solution to the Pendulum Clocks amusement. The divertimento: A watchmaker has two misadjusted pendulum clocks. One is one minute ahead a day and the other one is one and a half minutes […]