Consider the following statements:

- Some planets are stars.
- All stars are comets.
- No comet is an astronaut.

Based on these statements, which of the following conclusions logically follow?

I. No star is an astronaut.
II. All astronauts are planets.

Question

Consider the following statements:

- Some planets are stars.
- All stars are comets.
- No comet is an astronaut.

Based on these statements, which of the following conclusions logically follow?

I. No star is an astronaut.
II. All astronauts are planets.

Accepted Answer

**Solution:**

1. Analyze the given statements:
   - Some planets are stars.
   - All stars are comets.
   - No comet is an astronaut.

2. From "All stars are comets" and "No comet is an astronaut," it follows that no star can be an astronaut because stars are a subset of comets, and comets do not overlap with astronauts.

3. Therefore, conclusion I: "No star is an astronaut" logically follows and is true.

4. For conclusion II: "All astronauts are planets," there is no direct information supporting this. Since no comet is an astronaut and some planets are stars (which are comets), astronauts are outside comets and stars, but there is no definite relation given between astronauts and planets. Hence, conclusion II is not necessarily true.

**Answer:** If only conclusion I is true.

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