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?

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
[B].	II only
[C].	II and III only
[D].	None of the statements is a known fact.

Answer: Option C

Explanation:

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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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?

Logical Reasoning :: Logical Problems : More Exercises

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