Statements:
All chairs are stools.
All stools are benches.
Some benches are tables.
Conclusions:
I. Some chairs are benches.
II. All chairs are tables.
III. Some tables are stools.
Which conclusions follow?
Show answer & explanation
Correct answer: C
Explanation
Given Statements:
• All chairs are stools (Chairs ⊆ Stools)
• All stools are benches (Stools ⊆ Benches)
• Some benches are tables (Benches ∩ Tables ≠ ∅)
Evaluation of Conclusions:
• Conclusion I: Some chairs are benches: Since all chairs are inside stools, and all stools are inside benches, all chairs are benches. Therefore, "some chairs are benches" definitely follows.
• Conclusion II: All chairs are tables: There is no direct relationship given between chairs and tables, so this does not follow.
• Conclusion III: Some tables are stools: Tables overlap with benches, but there is no definite overlap given with stools, so this does not follow.
Therefore, Only I follows.