Problem solving Quote by Jack Cheevers
““12 ball problem,” which involves a dozen balls of the same size and color. One is heavier or lighter than the others. The challenge is to put the balls on a scale and figure out, in only three weighings, which of them is different, and whether it’s heavier or lighter. It took Bucher 12 hours to crack the problem; a brainy CT named Charles Ayling solved it in 60 minutes.””
About This Quote
Source Puzzle: Classic Twelve Ball Problem, popularized in recreational math literature
A set of twelve identical-looking balls contains one that differs in weight; using only three balance scale weighings, you must identify the odd ball and its relative weight.
In simple terms: Find the odd ball in three weighings.
Key Takeaway
Use systematic weighing strategies.
Themes
logic
problem solving
critical thinking
Mood
curious
analytical
Type
puzzle
educational
When to use this quote
- math competitions
- interview puzzles
- educational demonstrations
Key Concepts
balance scale
weight discrimination
binary search
Questions to Reflect On
- How can you design a weighing plan that maximizes information?
- What assumptions are required for the solution?
A Different Perspective
Limited to three weighings; assumes a perfect scale.
