Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
All ministers are politicians.
All pilots are ministers.
No engineer is a politician.
Conclusions:
I. Some ministers are pilots.
II. No engineer is a minister.
III. No engineer is a pilot.