Fact-Checking Fact 1 All hats have brims. Fact 2 there are black hats and blue hats. Fact 3 Baseball caps are hats. If the above three statements are facts then which of the following statement will also be a fact? I. All caps have brims II. Some baseball caps are blue Ill. Baseball caps have no brims
Correct answer: D. None of them is a fact
- A. I only
- B. II only
- C. Ill only
- D. None of them is a fact
Explanation
All baseball caps have brims Since Baseball caps are hats .(fact 3 ) All hats have brims (fact 1 ) This rules out statement III But it doesn't follow that all caps, a category in which all caps are present that are not baseball caps have brims. (statement I) Statement II is not confirmed because it is not given that either all the baseball caps are black or not.
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About Logical Deductions
Logical deductions require conclusions to be drawn from stated facts, conditions and relationships without adding outside information. The work includes handling all, some and none statements, necessary and sufficient conditions, ordering restrictions, true or false conclusions, and the difference between what must be true and what could be true.
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