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Question

Fact 1: Eyeglass frames cost between 35 and 350.
Fact 2: Some eyeglass frames are made of titanium.
Fact 3: Some eyeglass frames are made of plastic.
If the first three statements are facts, which of the following statements must also be a fact?
I: Titanium eyeglass frames cost more than plastic frames.
II: Expensive eyeglass frames last longer than cheap frames.
III: Only a few eyeglass frames cost less than 35.

A
I only
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B
II only
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C
II and III only
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D
None of the statements is a known fact.
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Solution

The correct option is D None of the statements is a known fact.
There is no information in the facts to support statements I or II. Statement III is clearly wrong because, according to Fact 1, no frames cost less than 35.

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