Each of these questions consists of six statements followed by options consisting of three statements put together in a specific order. Choose the option which indicates a valid argument containing logically related statements that is, where the third statement is a conclusion drawn from the preceding two statements.
A. All synopses are poets.
B. Some synopses are mentors.
C. Some Xs are not mentors.
D. All Xs are poets.
E. All synopses are mentors.
F. All synopses are X.
Solution
Option A (ACB): Incorrect; "All synopses are poets" and "Some synopses are mentors" only proves some poets are mentors, but cannot confirm that "Some Xs are not mentors" without knowing the relationship between X and the other groups.
Option B (AEC): Incorrect; If all synopses are poets (A) and all synopses are mentors (E), it logically follows that some poets are mentors, but it provides no information to conclude that "Some Xs are not mentors" (C).
Option C (FEC): Incorrect; If all synopses are X (F) and all synopses are mentors (E), then some X must be mentors, which contradicts the conclusion that "Some Xs are not mentors" (C) in a standard logical flow.
Option D (DFA): Correct; If all Xs are poets (D) and all synopses are X (F), then by transitive property, it is logically certain that "All synopses are poets" (A).
Thus, the correct answer is Option D.
