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Saturday 2007/05/12 You have twelve coins in your pocket. You know that one of these coins is a fake one, but you don't know which one. You know that you can find it, because its weight is slightly different from the real ones. But you don't know if it's heavier or lighter, and you can't feel the difference just by holding it in you hand. You'll have to use a scale. The old type of scales, not the digital ones. Those where you can compare at each weighing the weight of two things. And to make the problem a little more difficult, you can only make 3 weighing. How do you proceed to be sure to find the fake coin and to find if it's heavier or lighter ? Saturday 2007/05/05 There are 5 houses of 5 different colours In each house lives someone from a different nationality Each one of these five persons drinks a specific kind of drink, smokes a specific kind of cigar and keeps a specific kind of pet. Who keeps the goldfish ? In order to help you answer this question, here are some tips that might be helpful :
Thursday 2007/05/03 Do you think that in the ENSEEIHT, at least two students have exactly the same number of friends ? Naturally, we consider that two students A and B are friends only if A is the friend of B and B the friend of A. A student isn't considered as a friend of himself. Saturday 2007/04/21 A man asks another one the age of his three daughters: - The multiplication of their three ages gives 36 - I can't find their age ! - The sum of their age gives the number that you see on the house in front of you. The man looks at the number of the house and says: - I still can't find the answer ! - The oldest one has got blue eyes. - Ah! Then I know now !! How did he do ? How old are the three girls ? Saturday 2007/04/21 Rearrange these four matches to make a square just by moving one match.
Saturday 2007/03/31 During the Gala of the ENSEEIHT, a young and pretty girl went to see Florian C. He was really happy that she came to see him, but she told him she would talk to him only if he was able to answer to her enigma: "Considering a glass as a cylinder of five centimetres of diameter and ten centimetres of height and a drop of water as a sphere of three millimetres of diameter, how many drops can we put in an empty glass ?" As Florian C. had drunk a little, he wasn't able to find the solution by calculus and tried to fill his glass counting the drops. But this isn't the right way to find the solution... Can you help him impress the girl ? He would be very grateful ! Saturday 2007/03/17 Mr Michel Doisy, mathematics professor at the ENSEEIHT is giving lessons about probabilities and statistics at the 2009 GEA class. Exceptionnally, the number of students at this lesson reaches the incredible number of fifty. In order to get the attention of the pupils who are mostly reading the newspaper or sleeping, the professor makes this very surprising affirmation : "I know that two of you will have their birthday on the same day" Jullien Y., waked by this astonishing proposition, answers to the professor that he can't be right. He thinks that since there are 365 days per year and only 50 students in the classroom, it's improbable for two of them to be born the same day. Who's right ? and why ? Saturday 2007/03/10 For the Gala of the ENSEEIHT, the association of the Festival has to cover a room's floor with fitted carpet. The room measures 12 meters of length and 9 meters of width with a wall in the middle 8 meters long and 1 meter thick. The floor measures (12 x 9 - 8 x1 = 100 m²). If you want to have an overview of the room, click here. For a 3-dimensional view of this room click here. The problem for the association of the Festival is that they only managed to get a square piece of fitted carpet measuring 10 meters by 10 meters. That also means 100 m². Then it should be possible to cover the room's floor with this piece of fitted carpet (by cutting one meter by one meter squares for example). But there is a solution just by cutting the fitted carped in two identical pieces that may be superimposed. How is it possible ? Well you've got one week to find the answer. If you think you've got it, just mail me or contact me by anyway, and I'll tell you if you're right. If you don't have a clue, you'll have to wait next week... |
