Statements: Some pens are pencils. Some pencils are markers. Conclusions: I. Some markers are pens. II. Some pencils are pens.
Correct answer: A. Only II
- A. Only II
- B. Both
- C. Only I
- D. None
Explanation
The key to solving this problem is understanding what can be logically deduced from the given statements. The statement 'Some pens are pencils' means there is an overlap between the sets of pens and pencils, which directly supports conclusion II: 'Some pencils are pens'. However, the statement 'Some pencils are markers' does not provide any direct overlap between markers and pens, making it impossible to deduce that 'Some markers are pens'. Thus, conclusion I is not necessarily true. Therefore, only conclusion II follows from the given statements.
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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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