**Statements:**

- No gold is stone.
- Only a few metal is stone.
- Some silver is gold.

**Conclusions:**

I: All silver can be stone.

II: Some metal is not gold.

Which of the conclusions logically follows from the given statements?

Question

**Statements:**

- No gold is stone.
- Only a few metal is stone.
- Some silver is gold.

**Conclusions:**

I: All silver can be stone.

II: Some metal is not gold.

Which of the conclusions logically follows from the given statements?

Accepted Answer

**Solution:**

1. From the statement "No gold is stone," it means gold and stone are mutually exclusive sets.

2. "Only a few metal is stone" implies that some metals are stones, but not all metals are stones.

3. "Some silver is gold" means there is an overlap between silver and gold.

Now, analyze the conclusions:

- Conclusion I: "All silver can be stone."
  - Since some silver is gold and no gold is stone, silver that is gold cannot be stone.
  - Therefore, it is not necessary that all silver can be stone. This conclusion does not logically follow.

- Conclusion II: "Some metal is not gold."
  - Since only a few metal is stone and no gold is stone, it implies that some metals are not gold.
  - Hence, this conclusion logically follows.

**Answer:** Only conclusion II follows.

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