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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.

  1. 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.
    1. II only
    2. I and II only
    3. II and III only
    4. 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.



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