Three statements are given, followed by four conclusions numbered I, II, III and IV. 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:

Some cooks are poets.

All poets are priests.

Some priests are doctors.

Conclusions:

I. Some cooks are priests.

II. Some priests are cooks.

III. All doctors are priests.

IV. Some doctors are priests.