Three statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follows/follow from the statements.
Statements:
I. Some tables are chairs.
II. All desks are chairs.
III. No chair is a fan.

Conclusions:
I. Some desks are tables.
II. Some fans are desks.

Let's evaluate the conditions using a Venn diagram approach:
Statement I: Some tables are chairs. (Intersection between Tables and Chairs)

Statement II: All desks are chairs. (The circle of Desks is completely inside Chairs)

Statement III: No chair is a fan. (The circle of Chairs and Fans do not overlap)

Now analyze the conclusions:

Conclusion I: Some desks are tables.
There is no definite intersection given between Desks and Tables. Desks are inside Chairs, and Tables overlap with Chairs, but Desks and Tables may or may not touch. Hence, this does not logically follow.

Conclusion II: Some fans are desks.
Since all desks are inside chairs, and no chair can be a fan, it is impossible for any desk to be a fan. Hence, Conclusion II definitely does not follow.

Therefore, neither conclusion I nor II follows.