Discussion :: Logical Problems
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I. All caps have brims.
II. There are red caps and blue caps.
III. Baseball hats are caps.If all the above statements are true, which of the following statements must be true?
1. All hats have brims.
2. Some baseball hats are blue.
3. Baseball hats have no brims.
Answer : Option D
Explanation :
All baseball hats have brims since baseball hats are caps (fact 3) and all caps have brims (I). This rule out statement III, but it doesn't follow that all hats, a category that may include caps that are not baseball hats, have brims (I). Statement II cannot be confirmed, either, since it is possible, as per the given information, that all baseball caps are red.
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