Statements: 1. No gentleman is poor
2. All gentlemen are rich
Conclusions: 1. No poor man is rich
2. No rich man is poor

Options

A. only conclusion 1 follows,
B. only conclusion 2 follows,
C. either conclusion 1 or 2 follows,
D. neither conclusion 1 nor 2 follows,

Answer

To solve the problem, we will analyze the given statements and conclusions step by step.

### Step 1: Understand the Statements
1. **Statement 1**: No gentleman is poor.
- This means that if someone is a gentleman, they cannot be poor.

2. **Statement 2**: All gentlemen are rich.
- This indicates that every gentleman belongs to the category of rich people.

### Step 2: Visualize with Venn Diagrams
- We can represent the statements using Venn diagrams:
- Draw a circle for gentlemen (G) and a circle for poor (P). Since no gentleman is poor, these two circles do not overlap.
- Draw another circle for rich (R). Since all gentlemen are rich, the circle for gentlemen (G) is completely inside the circle for rich (R).

### Step 3: Analyze the Conclusions
1. **Conclusion 1**: No poor man is rich.
- This conclusion states that if someone is poor, they cannot be rich. However, the statements do not provide any information about the relationship between poor and rich outside of gentlemen. Therefore, it is possible that some poor people can be rich. Thus, this conclusion does not necessarily follow from the statements.

2. **Conclusion 2**: No rich man is poor.
- This conclusion suggests that if someone is rich, they cannot be poor. Similar to the first conclusion, the statements do not provide a definitive relationship between rich and poor outside of gentlemen. We cannot conclude that all rich men are not poor, as there is no information provided about the relationship between the two groups. Therefore, this conclusion also does not necessarily follow from the statements.

### Step 4: Final Decision
Since neither conclusion can be definitively derived from the statements, we conclude that:

**Neither conclusion 1 nor conclusion 2 follows from the statements.**