From βSome doctors are writersβ and βAll writers are researchers,β we know that there is at least one person who is both a doctor and a writer, and all writers fall within the class of researchers. Therefore, that doctor must also be a researcher. This supports the conclusion that some doctors are researchers. The same overlapping individual also lies in the intersection of doctors and researchers, so it is equally true that some researchers are doctors. Thus, both statements A and C follow.
Option A:
Option A correctly notes that at least one doctor must be a researcher, deriving this from the overlapping subset of doctor-writers being within researchers.
Option B:
Option B overgeneralises by claiming that every doctor is a researcher, which is not warranted by the premises.
Option C:
Option C correctly focuses on the researcher side and notes that some researchers are doctors, because the overlapping individuals are in the researcher class.
Option D:
Option D acknowledges that both perspectives on the same intersection are logically supported, whereas B is not.
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