Question:
Each question contains six statements followed by four sets of combinations of
three. Choose the set in which the statements are logically related.
A. Some college athletes are professionals.
B. No college athlete is a professional.
C. Some professionals are well paid.
D. All professionals are well paid.
E. All well–paid persons are professionals.
F. No well–paid person is a college athlete.
Each question contains six statements followed by four sets of combinations of
three. Choose the set in which the statements are logically related.
A. Some college athletes are professionals.
B. No college athlete is a professional.
C. Some professionals are well paid.
D. All professionals are well paid.
E. All well–paid persons are professionals.
F. No well–paid person is a college athlete.
A. Some college athletes are professionals.
B. No college athlete is a professional.
C. Some professionals are well paid.
D. All professionals are well paid.
E. All well–paid persons are professionals.
F. No well–paid person is a college athlete.
Show Hint
In categorical logic, combine universal negatives with universal affirmatives to deduce strict exclusions.
Updated On: Aug 7, 2025
- BEF
- ABF
- BDF
- ACF
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The Correct Option is A
Solution and Explanation
From B, “No college athlete is a professional”, and E, “All well-paid persons are professionals”, we get F, “No well-paid person is a college athlete”. This is a valid categorical conclusion.
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