In this question, 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:
All fans are brown.
Some brown are chairs.
Some chairs are plastic.
Conclusions:
I. Some brown are fans.
II. Some chairs are brown.
III. No chair is plastic.

According to the given statements the diagram will be:

Conclusions:

I. Some brown are fans (True)

   When All fans are brown then some part of Brown also Fans
II. Some Chairs are Brown (True)

     When some chair are brown then we can say some brown are also chair
III. No Chair is Plastic(False)

      Definite Relation between Chair & Plastic then relation of ' NO' is not follow

Correct answer is option C) Only conclusions I and II follow. 

Thus, correct option is (c).