Statements: Some teachers are singers. No singer is a dancer. Which conclusion follows?
Correct answer: A. Some teachers are not dancers
- A. Some teachers are not dancers
- B. No teacher is a dancer
- C. All teachers are singers
- D. Some dancers are teachers
Explanation
The teachers who are singers cannot be dancers, which establishes that some teachers are not dancers. The other teachers might well be dancers, so the universal negative is too strong. Combining a particular affirmative with a universal negative always gives a particular negative.
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About Syllogisms
Syllogisms use categorical statements such as all, some and no to establish relationships between groups. Questions require checking whether conclusions necessarily follow from the premises, often by mental set relationships or Venn diagrams, and distinguishing valid deductions from conclusions that are merely possible.
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