| Mathematical Recreations Please send your solutions or interesting problems to AJaramillo@FifthAxiom.com |
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| Efficient Use of Resources There are 12 balls of similar appearance. However, there is one, and only one ball of slightly different weight. We have a simple balance. You are asked to identify the special ball with only three uses of the balance. How would you do it? |
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| Deductive Challenge There are 5 houses. Each house has one pet, one color, one nationality, one drink and one brand of cigarette. The Englishman lives in the red house The Spaniard owns a dog Coffee is drunk in the green house The Ukranian drinks tea The green house is immediately to the right of the Ivory house Old-Gold Smoker owns a snail Kools are smoked in the yellow house Milk is drunk in the middle house The Norwegian lives in the first house The Chesterfield smoker lives next to the house with a horse The lucky Strike smoker drinks Orange The Japanese smokes Pariliaments The Norwegian lives next door to the blue house. Questions: Who drinks water? Who owns the Zebra? (Sent in by Mauricio Santamaria & Cristina Barvo of Crest Creative Strategies, Inc.) |
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| Dollar Fruit Challenge In the lobby of Fifth Axiom's offices there are three "healthy snack" vending machines. One sells only Apples, the other only Oranges and the third one randomly dispenses an Orange or an Apple. The three machines sell their fruit for a dollar. Some jokester switched all the labels on the machines, and now we can't tell which is the Apple machine, which the Orange machine and which is the Mix machine. What is the minimum amount of dollars necessary to re-label all three machines correctly? |
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| Mental Agility Try this problem in your head, without paper, pencil or calculator. If you are given a 10x10x10 cube, made up of 1x1x1 little cubes (obviously 1,000 of them), calculate how many cubes make up the outer shell of the cube. |
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| Creative Efficiency Click here |
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