Logical reasoning — “Most” versus “All” (choose the statement that must be true) Facts: Most stuffed toys are stuffed with beans. There are stuffed bears and there are stuffed tigers. Some chairs are stuffed with beans. Which statements must also be facts? I: Only children's chairs are stuffed with beans. II: All stuffed tigers are stuffed with beans. III: Stuffed monkeys are not stuffed with beans.
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AI only
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BII only
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CII and III only
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DNone of the statements is a known fact.
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EI and III only
Answer
Correct Answer: None of the statements is a known fact.
Explanation
Introduction / Context:This question probes understanding of quantifiers like “most,” the difference between existence and universality, and the danger of assuming properties for specific subtypes without evidence.
Given Data / Assumptions:
- “Most stuffed toys … beans” means more than half of stuffed toys have bean filling; not all.
- We know stuffed bears and stuffed tigers exist.
- Some chairs (unspecified type) are stuffed with beans.
Concept / Approach:We cannot jump from “most toys have beans” to “all stuffed tigers have beans.” Nor can we restrict bean-stuffed chairs to children's chairs without evidence. Claims about stuffed monkeys are unsupported.
Step-by-Step Solution:
I: “Only children's chairs are stuffed with beans.” The facts say “some chairs,” not “only children's chairs.” Not guaranteed.II: “All stuffed tigers are stuffed with beans.” “Most stuffed toys” allows exceptions; stuffed tigers might be among the exceptions. Not guaranteed.III: “Stuffed monkeys are not stuffed with beans.” We are told nothing about stuffed monkeys. Not guaranteed.Verification / Alternative check:Construct two worlds: (A) All tigers have beans; (B) No tigers have beans. Both are compatible with “most toys have beans” as long as most toys overall do. Hence II is not a must. Similar reasoning dismisses I and III.
Why Other Options Are Wrong:
- I only / II only / II and III only / I and III only: Each relies on information not given or overgeneralizes “most” to “all.”
Common Pitfalls:Confusing “most” with “all,” and importing assumptions about specific subtypes without textual support.
Final Answer:None of the statements is a known fact.