From the statements, we know that all honest people are trusted, and some teachers fall within the honest group. Therefore, those teachers who are honest must also be trusted, showing that some teachers are trusted. At the same time, these individuals are both trusted and teachers, which means that some trusted people are teachers. The information about some teachers not being patient does not affect these two overlaps. Thus, both A and C follow.
Option A:
Option A correctly recognises that at least one teacher lies in the intersection of honest and trusted individuals, guaranteeing that some teachers are trusted.
Option B:
Option B overgeneralises by claiming that all teachers are trusted, which is not supported because only βsomeβ teachers are known to be honest.
Option C:
Option C correctly focuses on the trusted set and notes that some of its members are teachers, based on the same overlapping individuals.
Option D:
Option D acknowledges that both A and C are valid perspectives on the same logical overlap, while B is not justified.
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