Fact 1: Some pens don't write. Fact 2: Only blue pens write. Fact 3: Some writing utensils are pens. If the above three statements are facts then which of the following statement will also be a fact I. Some writing utensils don't write. II. Some writing utensils are blue. III. Some blue writing utensils don't write.
Correct answer: B. Only I and II
- A. Only III
- B. Only I and II
- C. Only I
- D. Only III and II
Explanation
From the facts given we can conclude that firstly, since some pens don't write, some writing utensils don't write either, hence statement one is correct. Secondly, Since there are blue pens and pens are writing utensils, some writing utensils are blue confirming statement two. However, we do not have enough information to support statement 3.
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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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