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Statements: 1. Some books are tables 2...

Statements: 1. Some books are tables
2. Some tables are mirrors
Conclusions: 1. Some mirrors are books
2. No book is mirror

A

only conclusion 1 follows,

B

only conclusion 2 follows,

C

either conclusion 1 or 2 follows,

D

neither conclusion 1 nor 2 follows,

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we will analyze the given statements and conclusions step by step. ### Step 1: Understand the Statements 1. **Statement 1**: Some books are tables. 2. **Statement 2**: Some tables are mirrors. ### Step 2: Visual Representation To visualize the relationships, we can use a Venn diagram: - Draw three circles: one for books, one for tables, and one for mirrors. - Indicate that there is some overlap between the books and tables circles (from Statement 1). - Indicate that there is some overlap between the tables and mirrors circles (from Statement 2). ### Step 3: Analyze the Conclusions 1. **Conclusion 1**: Some mirrors are books. 2. **Conclusion 2**: No book is a mirror. ### Step 4: Evaluate Conclusion 1 - For Conclusion 1 to be true, there must be some overlap between the mirrors and books circles. - However, from the statements, we only know that there are some tables that are mirrors and some books that are tables. There is no direct information linking books and mirrors. - Therefore, we cannot conclude that some mirrors are books. **Conclusion 1 is false.** ### Step 5: Evaluate Conclusion 2 - For Conclusion 2 to be true, it must be true that there is no overlap between the books and mirrors circles. - Since we have no direct information about the relationship between books and mirrors, it is possible that they do not overlap, making this conclusion potentially true. - However, since we cannot definitively say there is no overlap, **Conclusion 2 is uncertain.** ### Step 6: Final Assessment - Since Conclusion 1 is false and Conclusion 2 is uncertain, we cannot definitively say that either conclusion must be true based on the statements provided. - The correct interpretation is that either conclusion could follow, but both cannot be true at the same time. ### Final Answer The correct option is: **Either conclusion 1 or conclusion 2 follows.** ---
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