Statements:All pens are eraser. Some erasers are pencil. Some pencils ...
Statement Analysis:
The given statements are:
1) All pens are erasers.
2) Some erasers are pencils.
3) Some pencils are ink.
Conclusion Analysis:
1) Some ink are eraser.
2) Some pencils are pen.
3) No pen is pencil.
Explanation:
To determine which conclusions follow from the given statements, we need to analyze each conclusion in relation to the statements.
Conclusion 1: Some ink are eraser.
This conclusion cannot be inferred from the given statements. We know that some pencils are ink, but there is no direct information about the relationship between ink and erasers. Therefore, conclusion 1 does not follow.
Conclusion 2: Some pencils are pen.
This conclusion can be inferred from the given statements. We know that all pens are erasers, and some erasers are pencils. Therefore, there is a possibility that some pencils are also pens. Conclusion 2 follows.
Conclusion 3: No pen is pencil.
This conclusion cannot be inferred from the given statements. While all pens are erasers, and some erasers are pencils, there is no direct information about the relationship between pens and pencils. Therefore, conclusion 3 does not follow.
Conclusion Summary:
Based on the analysis, we can conclude that:
- Conclusion 1 does not follow.
- Conclusion 2 follows.
- Conclusion 3 does not follow.
Therefore, the correct answer is option 'B' - Either 2 or 3 follow.
Statements:All pens are eraser. Some erasers are pencil. Some pencils ...
B