Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follows from the statements.

Statements:
1.All fans are heaters.
2. Some coolers are fans.
3. All purifiers are coolers.

Conclusions:
I. All purifiers are heaters.
II. Some purifiers are heaters.
III. Some heaters are coolers.
IV. All coolers are heaters.

Only conclusion III follows