Statements: 1. All cars are cats
2. All fans are cats
Conclusions: 1. All cars are fans
2. Some fans are cars

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 statements and conclusions step by step.

### Step 1: Understand the Statements
1. **Statement 1**: All cars are cats.
- This means that every car is included in the category of cats. If we visualize this using a Venn diagram, we can represent it as a circle for cars that is entirely inside a larger circle representing cats.

2. **Statement 2**: All fans are cats.
- Similarly, this means that every fan is also included in the category of cats. In our Venn diagram, we can represent this as another circle for fans that is also entirely inside the circle for cats.

### Step 2: Visualize with Venn Diagrams
- Draw a large circle labeled "Cats."
- Inside this circle, draw a smaller circle labeled "Cars."
- Inside the same large circle, draw another smaller circle labeled "Fans."
- Both the "Cars" and "Fans" circles are inside the "Cats" circle, but there is no overlap between the "Cars" and "Fans" circles.

### Step 3: Analyze the Conclusions
1. **Conclusion 1**: All cars are fans.
- This conclusion suggests that the circle for cars overlaps completely with the circle for fans. However, from our Venn diagram, we see that there is no overlap between the cars and fans. Therefore, this conclusion is **false**.

2. **Conclusion 2**: Some fans are cars.
- This conclusion suggests that there is at least some overlap between the fans and cars. Again, from our Venn diagram, we see that there is no overlap. Therefore, this conclusion is also **false**.

### Step 4: Final Conclusion
Since both conclusions are false based on the analysis of the statements and the Venn diagram, the correct answer is that neither conclusion follows from the statements.

### Summary of the Solution
- **Conclusion 1**: False (All cars are not fans)
- **Conclusion 2**: False (Some fans are not cars)
- Therefore, the answer is that neither conclusion follows.