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Statements: All cups are glasses. All glasses are containers. Conclusions: I. All cups are containers. II. Some containers are cups. III. All containers are cups.

Correct answer: A. Only I and II

  • A. Only I and II
  • B. Only I
  • C. All follow
  • D. Only II and III

Explanation

The correct answer is Option A: Only I and II. Let's analyze each conclusion:Conclusion I: 'All cups are containers' is true. Since all cups are glasses and all glasses are containers, by transitive property, all cups are containers.Conclusion II: 'Some containers are cups' is true. Since all cups are containers, it implies that at least some of the containers are cups.Conclusion III: 'All containers are cups' is false. The given statements do not support this conclusion because containers include more than just cups.

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About Logical Deductions

Logical deductions require conclusions to be drawn from stated facts, conditions and relationships without adding outside information. The work includes handling all, some and none statements, necessary and sufficient conditions, ordering restrictions, true or false conclusions, and the difference between what must be true and what could be true.

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