Statements: No student is careless. Some careless people are drivers. Which conclusion follows?
Correct answer: A. Some drivers are not students
- A. Some drivers are not students
- B. No driver is a student
- C. All drivers are careless
- D. Some students are drivers
Explanation
The drivers who are careless cannot be students, since no student is careless, so at least some drivers fall outside the student group. Extending this to all drivers is unwarranted, because the remaining drivers are unaccounted for. A negative premise always yields a negative conclusion.
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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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