Each question contains six statements followed by four sets of combinations of three. Choose the set in which the statements are logically related.
(A) All voters are residents.
(B) Some voters are citizens.
(C) All citizens are residents.
(D) No citizen is a resident.
(E) All voters are citizens.
(F) Some residents are voters.
Solution
Option A. C and E statements directly imply A statement.
Option B. Both voters and citizens are inside the "residents" circle, but they might not touch each other at all. You can't prove they overlap.
Option C. Existential Fallacy: While "All voters are residents" is a valid deduction, "Some residents are voters" assumes that at least one voter actually exists. In formal logic, "All" does not automatically imply "Some."
Option D. Direct Contradiction: Premise (A) says voters are residents, and Premise (E) says those same voters are citizens. Therefore, some citizens must be residents, making "No citizen is a resident" impossible.
That's why the correct option is A.
