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 follows the given statements. 

Statements:

I. All boxes are bats.

II. No bats are shovels.

III. All boxes are cardboards.

Conclusions:

I. Some cardboards are bats.

II. Some shovels being cardboards is a possibility.

III. No shovels are cardboards.