In the question given below is given a statement followed by two conclusions numbered I and II. You have to assume everything in the statement to be true, then consider the two conclusions together and decide which of them logically follows beyond a reasonable doubt from the information given in the statement.Statements: Some books are tables.Some tables are mirrors.Conclusions:I. Some mirrors are books.II. No book is mirror.
Question
In the question given below is given a statement followed by two conclusions numbered I and II. You have to assume everything in the statement to be true, then consider the two conclusions together and decide which of them logically follows beyond a reasonable doubt from the information given in the statement.Statements: Some books are tables.Some tables are mirrors.Conclusions:I. Some mirrors are books.II. No book is mirror.
Solution
From the given statements, we can infer the following:
Statement 1: Some books are tables. This implies that there is at least some overlap between the group of books and the group of tables.
Statement 2: Some tables are mirrors. This implies that there is at least some overlap between the group of tables and the group of mirrors.
Now, let's examine the conclusions:
Conclusion I: Some mirrors are books. This conclusion is possible but not guaranteed. The overlap between books and tables does not necessarily mean there is an overlap between books and mirrors. Therefore, we cannot say this conclusion follows beyond a reasonable doubt.
Conclusion II: No book is mirror. This conclusion is also not necessarily true. While the statements do not confirm that there are books that are mirrors, they also do not rule out the possibility. Therefore, we cannot say this conclusion follows beyond a reasonable doubt.
So, neither of the conclusions can be logically inferred beyond a reasonable doubt from the given statements.
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