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Question

Fact 1: Robert has four vehicles.
Fact 2: Two of the vehicles are red.
Fact 3: One of the vehicles is a minivan.
If the first three statements are facts, which of the following statements must also be a fact?
I: Robert has a red minivan.
II: Robert has three cars.
III: Robert's favorite color is red.

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 C None of the statements is a known fact.
There is not enough information to support any of the statements. Robert is known to have a minivan, but it is not known which of his vehicles is red. Robert may have a pickup or sport utility vehicle, so the second statement cannot be supported. There is no way to know if Robert's favorite color is red(statement III).

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