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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 statement/(s) must also be a fact ?

I. All caps have brims.
II. Some baseball caps are blue.
III. Baseball caps have no brims.

Choose the correct answer from the options given below :

  • A.Only I
  • B.Only II
  • C.I, II and III
  • D.None of the statements is a known fact

Answer: D

None of the statements is a known fact, so the answer is None of the statements is a known fact.

Statement I speaks of all caps, but the facts only say that baseball caps are hats, so we do not know that every cap is a hat and has a brim. Statement II is not given: the facts name black hats and blue hats but do not say that any baseball cap is blue. Statement III contradicts Fact 1 and Fact 3, since baseball caps are hats and all hats have brims.

Every option that accepts I, II or III is therefore wrong.

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