In this question, three statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follows/follow from the statements.

Statements:
I. No dean is a teacher.
II. All teachers are professors.
III. No professor is a lecturer.

Conclusions:
I. Some deans are lecturers.
II. Some teachers are lecturers.