Asked in PMC Practice Test 34 (2021) 2021Moderate

Statements and Conclusions: All benches are chairs. Some chairs are roads. All roads are pillars. Conclusions: I - Some pillars are benches. II - Some pillars are chairs. Ill -Some roads are benches. IV - No pillar is a bench.

Correct answer: D. Only either I or IV, and II follow

  • A. None follows
  • B. Only either I or IV, and III follow
  • C. Only either I or IV follow
  • D. Only either I or IV, and II follow

Explanation

I. Some pillars are benches. All benches are desks and Some desks are roads. All roads are pillars. So some pillars are desks, but may not be pillars. II. Some pillars are desks. True, Some desks are roads. All roads are pillars. So some pillars are desks.III. Some roads are benches. False, some roads are desks and some desks are benches, but roads may not be benches. IV. No pillar is a bench. All benches are desks and Some desks are roads. All roads are pillars. So some pillars are desks, but may not be pillars.

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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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