**Statements:**

- All stations are platforms.
- All platforms are dividers.
- Some platforms are roads.
- No road is a track.

**Conclusions:**

A. All stations are dividers.

B. Some platforms are definitely not tracks.

C. All tracks being stations is a possibility.

D. All dividers being tracks is a possibility.

E. Some dividers are roads.

**Question:** Which one of the following conclusions does NOT logically follow or is NOT a possibility based on the given statements?

Question

**Statements:**

- All stations are platforms.
- All platforms are dividers.
- Some platforms are roads.
- No road is a track.

**Conclusions:**

A. All stations are dividers.

B. Some platforms are definitely not tracks.

C. All tracks being stations is a possibility.

D. All dividers being tracks is a possibility.

E. Some dividers are roads.

**Question:** Which one of the following conclusions does NOT logically follow or is NOT a possibility based on the given statements?

Accepted Answer

**Solution:**

1. From the statements:
   - All stations are platforms.
   - All platforms are dividers.

Therefore, all stations are dividers (since stations ⊆ platforms ⊆ dividers). Hence, conclusion A is true.

2. Some platforms are roads, and no road is a track. This means some platforms cannot be tracks, so conclusion B is true.

3. Since no road is a track and some platforms are roads, it is possible that all tracks are stations (there is no contradiction), so conclusion C is possible.

4. Considering all dividers being tracks is a possibility (conclusion D):
   - Since all platforms are dividers and some platforms are roads (which are not tracks), not all dividers can be tracks.
   - Hence, it is impossible for all dividers to be tracks.
   - Therefore, conclusion D does NOT follow.

5. Some dividers are roads because some platforms are roads and all platforms are dividers, so conclusion E is true.

**Answer:** All dividers being tracks is a possibility (Conclusion D) does NOT logically follow.

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