Mathematical Recreations

Please send your solutions or interesting problems to
AJaramillo@FifthAxiom.com
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?
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.)
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?
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.
Creative Efficiency
Click here