Statements: 1. All pens are roads
2. All roads are houses
Conclusions: 1. All houses are pens
2. Some houses are pens

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 analyze the given statements and conclusions, we can use a logical approach. Let's break it down step by step.

### Step 1: Understand the Statements
1. **Statement 1**: All pens are roads.
- This means that if something is a pen, it must also be a road.

2. **Statement 2**: All roads are houses.
- This means that if something is a road, it must also be a house.

### Step 2: Visual Representation
- We can represent this with circles:
- Draw a circle for "Pens" inside a larger circle for "Roads."
- Then, draw a larger circle for "Houses" that encompasses the "Roads" circle.

### Step 3: Analyze the Conclusions
1. **Conclusion 1**: All houses are pens.
- This conclusion suggests that every house is also a pen. However, from our statements, we only know that all pens are roads and all roads are houses. There could be houses that are not pens. Therefore, this conclusion is **false**.

2. **Conclusion 2**: Some houses are pens.
- This conclusion suggests that there is at least one house that is also a pen. Since all pens are roads and all roads are houses, it follows that the pens (which are roads) are also part of the houses. Therefore, this conclusion is **true**.

### Step 4: Final Decision
- Based on the analysis:
- Conclusion 1 is false.
- Conclusion 2 is true.

Thus, the correct option is that only conclusion 2 follows.

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