Logic Puzzle
Optimus Alpha's response testing its ability to solve a simple logic puzzle.
Optimus Alpha
April 11, 2025
Text
?Prompt
Sally (a girl) has 3 brothers. Each brother has 2 sisters. How many sisters does Sally have?
Response
Let's break down the problem:
- Sally is a girl.
- Sally has 3 brothers.
- Each brother has 2 sisters.
Let's analyze:
Sally's siblings:
- 3 brothers (let's call them B1, B2, B3)
- Sally herself
The brothers' sisters:
- Each brother has 2 sisters.
Who are the possible sisters for each brother?
- Sally is a sister to each brother.
- Are there any other sisters? That's the question!
If Sally is the only girl, then each brother would only have 1 sister (Sally). But the problem says each brother has 2 sisters.
Therefore, there must be another sister besides Sally.
Let's check: Suppose Sally has 1 sister (besides herself). So the siblings are:
- Sally (girl)
- A second sister (let's call her Anna)
- 3 brothers
Children in the family:
- 2 girls (Sally and Anna)
- 3 boys (the brothers)
Now, for each brother:
- Their sisters are Sally and Anna: 2 sisters (matches the problem statement).
So, Sally has 1 sister.
Final answer:
[ oxed{1} ]
Sally has 1 sister.
About Optimus Alpha
Capabilities
ConversationWeb DesignCode GenerationReasoning
Categories
TextMultimodal
Specifications
- Provider
- Openrouter
- Released
- April 10, 2025
- Size
- LARGE
- Parameters
- Unknown
- Context
- 1,000,000 tokens