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Statements: 1. No magazine is cap. 2. ...

Statements: 1. No magazine is cap.
2. All caps are cameras.
Conclusions: 1. No camera is magazine.
2. Some cameras are magazines.

A

only conclusion I 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 need to analyze the given statements and conclusions using logical reasoning and Venn diagrams. ### Step-by-Step Solution: 1. **Understand the Statements:** - Statement 1: No magazine is a cap. - Statement 2: All caps are cameras. 2. **Draw Venn Diagrams:** - For Statement 1, we represent magazines and caps as two separate circles that do not overlap. This indicates that there is no relationship between magazines and caps. - For Statement 2, we draw a larger circle for cameras that completely encompasses the circle for caps, indicating that all caps are included within the cameras. 3. **Combine the Statements:** - From the two statements, we can visualize that: - The magazine circle is separate from the cap circle. - The cap circle is entirely within the camera circle. 4. **Analyze the Conclusions:** - Conclusion 1: No camera is a magazine. - In the first Venn diagram, since the magazine circle does not overlap with the cap circle, and the cap circle is within the camera circle, it follows that no camera can be a magazine. Thus, this conclusion is true in this scenario. - In the second possibility, if we consider that some cameras could also be magazines, this conclusion can be false. Therefore, this conclusion is not universally true. - Conclusion 2: Some cameras are magazines. - In the first Venn diagram, since magazines and caps do not overlap, it follows that no cameras can be magazines, making this conclusion false. - In the second possibility, if we consider that there could be some overlap, this conclusion could be true. However, since the first statement explicitly states that no magazine is a cap, this conclusion is also not universally true. 5. **Final Evaluation:** - Since we have two different scenarios, we can conclude: - If the first conclusion is true, then the second conclusion is false. - If the second conclusion is true, then the first conclusion is false. - Therefore, we can say that either conclusion 1 or conclusion 2 follows, but not both. ### Conclusion: The answer is that either conclusion 1 or conclusion 2 follows.

To solve the problem, we need to analyze the given statements and conclusions using logical reasoning and Venn diagrams. ### Step-by-Step Solution: 1. **Understand the Statements:** - Statement 1: No magazine is a cap. - Statement 2: All caps are cameras. ...
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