Read the given statements and the following conclusions carefully and select which of the conclusions logically follow (s) from the statements.
Statements:
Some iron are rust.
All rust are brown
Conclusions:
1. Some brown are rust.
2. Some iron are brown.

Options

A. No conclusions follow
B. All the conclusions follow
C. Only conclusion I follows
D. Only conclusion 2 follows

Answer

To solve the problem, we need to analyze the given statements and the conclusions logically. Let's break it down step by step.

### Step 1: Understand the Statements
1. **Statement 1**: Some iron are rust.
- This means there is an intersection between the set of iron and the set of rust. We can visualize this with a Venn diagram where part of the iron circle overlaps with the rust circle.

2. **Statement 2**: All rust are brown.
- This indicates that the entire set of rust is contained within the set of brown. In the Venn diagram, the rust circle is completely inside the brown circle.

### Step 2: Visualize the Information
- Draw a Venn diagram:
- Draw a circle for iron.
- Draw a circle for rust that overlaps with the iron circle.
- Draw a larger circle for brown that completely encompasses the rust circle.

### Step 3: Analyze the Conclusions
1. **Conclusion 1**: Some brown are rust.
- Since all rust is brown (from Statement 2), it follows that the part of rust that is inside the brown circle means that some brown must indeed be rust. Thus, this conclusion is true.

2. **Conclusion 2**: Some iron are brown.
- Since some iron overlaps with rust, and all rust is brown, it follows that the part of iron that overlaps with rust is also brown. Therefore, this conclusion is also true.

### Step 4: Final Evaluation
- Both conclusions logically follow from the statements provided.

### Final Answer
Both conclusions are true. Therefore, the correct answer is that all conclusions follow.

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