Statement:I Some bags are pockets.
Statement:II No pocket is a pouch.
Conclusion: I Some bags are not pouches.
Conclusion: II Some pockets are bags.
This is a Syllogism question. We need to analyze the given statements and determine which conclusions logically follow.
Statement I: Some bags are pockets.
Statement II: No pocket is a pouch.
Conclusion I: Some bags are not pouches.
Conclusion II: Some pockets are bags.
Step-by-step analysis:
- Statement I establishes a partial overlap between 'bags' and 'pockets'.
- Statement II creates a complete separation between 'pockets' and 'pouches'.
- Since some bags are pockets (Statement I), and no pockets are pouches (Statement II), it logically follows that some bags cannot be pouches. Therefore, Conclusion I is valid.
- Statement I directly states that "Some bags are pockets". This is the same as saying "Some pockets are bags". Therefore, Conclusion II is also valid.
Why other options are incorrect:
- Option 1 and 2 are incorrect because both conclusions follow from the given statements.
- Option 4 is incorrect because both conclusions are valid.
Therefore, the correct answer is that both Conclusion I and Conclusion II follow.
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