Three statements are followed by three conclusions. Take the statements to be true even if they seem to be at variance from the commonly known facts. Decide which of the given conclusions logically follow(s) from the given statements.

Statements:

All rats are cats.

All lions are cats.

All deer are lions.

Conclusions:

(I) All deer are cats.

(II) Some deer are rats.

(III) Some cats are deer.