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Statements: All stones are hard. Some hard things are gems. Conclusions: I. Some stones are gems.
II. No stone is a gem. Which conclusion(s) logically follow(s)?

Competition practiceSyllogism
  • AOnly conclusion I follows
  • BEither I or II follows
  • CNeither conclusion follows
  • DOnly conclusion II follows

Step-by-Step Solution

Neither conclusion is certain on its own, but I and II are complementary (about the same subject and predicate, one 'some', one 'no'): exactly one of them must be true. So either I or II follows.
Answer: B) Either I or II follows

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