In the following question below are given some statements followed by some conclusions based on those statements. Take the given statements to be true even if they seem to be at a variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically does not follow the given statements. 

Statements:

I. All towels are round.

II. Some round are lines.

III. Some lines are black.  

Conclusions:

I. Some round are towels.

II. No black is round.

III. Some rounds being black is a possibility.