Direction: The logic problems in this set present you with three true statements : Fact 1, Fact 2, and Fact 3. Then, you are given three more statements (labeled I, II, and III), and you must determine which of these, if any, is also a fact. One or two of the statements could be true; all of the statements could be true; or none of the statements could be true. Choose your answer based solely on the information given in the first three facts.
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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.
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- II only
- I and II only
- II and III only
- None of the statements is a known fact.
Correct Option: D
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.