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Solutions
The least possible Venn diagram for the given statement is:

Conclusions:
I. Some doctors are teachers → Follow (As, some teachers are scientists and all scientists are doctors. So, as whole scientists comes in doctors and have some part common with teachers therefore it is definitely true.)
II. Some engineers are teachers → Follow (As, some teachers are scientists, all scientists are doctors and all doctors are engineers. So, as whole scientists comes in doctors which whole comes in engineers and some part of scientists is common with teachers therefore it is definitely true.)
III. Some doctors are scientists → Follow (As, all scientists are doctors. So, as whole scientists comes in doctors therefore it is definitely true.)
So, All conclusions follow.
Hence, the correct answer is "All conclusions follow".