Asked in PMC Practice Test 35 (2021) 2021

Statements: No cities are countries. No countries are villages. Conclusions: (I) Some countries are cities. (II) No villages are cities.

Correct answer: D. Both of the conclusions do not follow

  • A. Only conclusion (I) follows
  • B. Only conclusion (II) follows
  • C. Both conclusions follow
  • D. Both of the conclusions do not follow

Explanation

City ≠ country and countries ≠ villages Conclusion I states that countries are city → is not possible, because no cities are countries hence false. Conclusion II says villages are city → is possible but no evidence is given proving hence false. Hence, neither conclusion (I) nor conclusion (II) follows.

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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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