Logic Puzzle
Claude 3.7 Sonnet's response to the Tests an AI's ability to solve a simple but potentially confusing logic puzzle
?Prompt
Sally (a girl) has 3 brothers. Each brother has 2 sisters. How many sisters does Sally have?
Response
This is an interesting logical reasoning problem! Let's work through it step by step.
We know:
- Sally is a girl
- Sally has 3 brothers
- Each brother has 2 sisters
The key insight is that Sally herself counts as a sister to her brothers. So when we're told that "each brother has 2 sisters," Sally is one of those sisters.
Since each brother has 2 sisters total, and Sally is one of them, that means each brother has 1 sister besides Sally.
But all brothers share the same sisters (they're all siblings in the same family). So if Sally has 3 brothers, and each brother has the same 2 sisters (Sally and someone else), then Sally has exactly 1 sister.
Therefore, Sally has 1 sister.
About Claude 3.7 Sonnet
Capabilities
Categories
Specifications
- Provider
- Anthropic
- Released
- February 25, 2025
- Size
- LARGE
- Parameters
- Not disclosed
- Context
- 200,000 tokens