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 machines are factories.

Some factories are shops.

Some shops are houses.

Conclusions:

I. Some houses are factories.

II. Some machines are houses.

III. Some factories are machines.