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Problem 10 - Entrance Test

All A are B. No B are C. What can be concluded about A and C?

Correct: B

From 'All A are B' and 'No B are C', we can chain the relationship: All A are B and No B are C implies that no member of A can be a member of C, because all A are within B and B shares no members with C. Therefore, 'No A is C' follows validly. This is an E conclusion derived from an A and an E premise, which is valid in the first figure (AEE-1).