In the question below are given two or three statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusions logically follows from the statements, disregarding commonly known facts. Give answerStatements: All papers are pencils. All pencils are erasers.Conclusions:I. Some erasers are papers.II. Some pencils are papers.
Question
In the question below are given two or three statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusions logically follows from the statements, disregarding commonly known facts. Give answerStatements: All papers are pencils. All pencils are erasers.Conclusions:I. Some erasers are papers.II. Some pencils are papers.
Solution
The conclusions can be derived from the statements as follows:
Statements:
- All papers are pencils.
- All pencils are erasers.
Conclusions: I. Some erasers are papers. This conclusion is true. Since all papers are pencils and all pencils are erasers, it follows that some erasers are papers.
II. Some pencils are papers. This conclusion is also true. The first statement says that all papers are pencils, which means that some pencils are indeed papers.
So, both conclusions I and II follow logically from the given statements.
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