Logical Reasoning - Logical Problems - Discussion
Discussion Forum : Logical Problems - Type 4 (Q.No. 5)
Directions to Solve
The logic problems in this set present you with three true statements: Fact 1, Fact 2, and Fact 3. Then, you are given three more statements (labeled 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.
5.
| Fact 1: | All hats have brims. |
| Fact 2: | There are black hats and blue hats. |
| Fact 3: | Baseball caps are hats. |
| I: | All caps have brims. |
| II: | Some baseball caps are blue. |
| III: | Baseball caps have no brims. |
Answer: Option
Explanation:
All baseball caps have brims, since baseball caps are hats (Fact 3) and all hats have brims (Fact 1). This rules out statement III, but it doesn't follow that all caps, a category that may include caps that are not baseball caps, have brims (statement I). Statement II cannot be confirmed, either, since it is possible, given the information, that all baseball caps are black.
Discussion:
15 comments Page 2 of 2.
Rahul Kumar said:
1 decade ago
@Nandita.
Only Baseball caps are hats but all not caps are hats (like Cricket caps).
That is why Fact 1 (All caps have brims) is wrong.
Only Baseball caps are hats but all not caps are hats (like Cricket caps).
That is why Fact 1 (All caps have brims) is wrong.
Rahul Kumar said:
1 decade ago
@Nandita and all.
Fact 2: There are black hats and blue hats. It is not mixer of black and blue hats. May be all baseball caps are blue, here is also possibilities that all baseball caps are black.
So [B] II only is wrong.
Fact 2: There are black hats and blue hats. It is not mixer of black and blue hats. May be all baseball caps are blue, here is also possibilities that all baseball caps are black.
So [B] II only is wrong.
Jacob said:
10 years ago
Based on the tendency of the author to use shortened versions of statements with implicit meanings (or meanings clarified by preceding statements) it is unfair to assume that the author meant to imply that "caps" encompass a group which may contain other forms of caps besides "baseball caps".
There was no reason not to assume that "caps" was simply an abbreviation of "baseball caps" considering the author's prior degree of specificity in terming objects/ideas (E.g. saying "south" to mean directly south---exactly 180 planar degrees from north).
There was no reason not to assume that "caps" was simply an abbreviation of "baseball caps" considering the author's prior degree of specificity in terming objects/ideas (E.g. saying "south" to mean directly south---exactly 180 planar degrees from north).
Srujana said:
10 years ago
II is correct because all hats are baseball caps and there are few blue hats and few black hats. So, we can say that some baseball caps are blue.
Sadra said:
9 years ago
Statement 1 isn't a fact since there might be caps without brims; Statement 3 to isn't a fact cause baseball caps are hats and all hats have brims; as for Statement 2 is concerned it too isn't a fact because baseball caps are hats and there are black and blue hats but baseball caps might entirely be black, entirely blue or a mixture of blue and black.
So, I thereby conclude that option D is true i.e none of the statement is a fact.
So, I thereby conclude that option D is true i.e none of the statement is a fact.
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