Statements: Some pens are boxes. All boxes are papers. Conclusions: I. Some pens are papers. II. All pens are papers.

Correct answer: D. Only I follows

  • A. Neither follows
  • B. Only II follows
  • C. Both I and II follow
  • D. Only I follows

Explanation

Since there is an overlap between pens and boxes, and the entire set of boxes is within the set of papers, there must be an overlap between pens and papers. Therefore, "Some pens are papers" is a valid conclusion. Conclusion II is not necessarily true.

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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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