Three statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
Some cats are plates.
All plates are tables.
Some tables are furniture.

Conclusions:
I. Some tables are plates.
II. Some plates are furniture.
III. Some cats are tables.

Let's analyze the conclusions based on the statements:
Conclusion I: "Some tables are plates."

Since "All plates are tables", it naturally implies that some tables must be plates. Thus, Conclusion I follows.

Conclusion II: "Some plates are furniture."

We know "All plates are tables" and "Some tables are furniture". However, there is no direct relationship specified between plates and furniture. It's possible they don't intersect. Thus, Conclusion II does not definitely follow.

Conclusion III: "Some cats are tables."

Since "Some cats are plates" and "All plates are tables", the section of cats that are plates will definitely be inside tables. Thus, Conclusion III follows.

Therefore, only conclusions I and III follow.