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Direction : This logic problem presents you with three true statements: Fact 1, Fact 2, and Fact 3. Then, you are given three more statements (labelled I, II, and III), and you must determine which…

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Direction : This logic problem presents you with three true statements: Fact 1, Fact 2, and Fact 3. Then, you are given three more statements (labelled 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.
Fact 1: All hats have brims.
Fact 2: There are black hats and blue hats.
Fact 3: Baseball caps are hats.
If the first three statements are facts, which of the following statements must also be a fact?
I. All caps have brims.
II. Some baseball caps are blue.
III. Baseball caps have no brims.
  1. I only
  2. II only
  3. II and III only
  4. None of I, II and III

Answer and explanation

Correct answer: D - None of I, II and III
I fails since only baseball caps are said to be hats, not all caps. II is not certain: hats come in black and blue but baseball caps need not be blue. III contradicts the facts (baseball caps are hats and all hats have brims). None of I, II and III must be true.

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  • CUSAT CAT LLM

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