Statements:Some bags are pockets. No pocket is a pouch.Conclusions: No...
Explanation:
Since one premise is particular and the other negative, the conclusion must be particular negative and should not contain the middle term. So, II follows. III is the converse of the first premise and thus it also holds.
View all questions of this test
Statements:Some bags are pockets. No pocket is a pouch.Conclusions: No...
Statements: Some bags are pockets. No pocket is a pouch.
Conclusions:
1. No bag is a pouch.
2. Some bags are not pouches.
3. Some pockets are bags.
4. No pocket is a bag.
Analysis:
To determine the validity of the conclusions, we need to analyze the given statements and evaluate whether they support or contradict each conclusion.
Statement Analysis:
1. Some bags are pockets: This implies that there is an overlap between the set of bags and the set of pockets. It means that at least some bags are also pockets.
2. No pocket is a pouch: This statement indicates that there is no intersection between the set of pockets and the set of pouches. It means that there are no pockets that are also pouches.
Conclusion Analysis:
1. No bag is a pouch: This conclusion can be inferred from the second statement. Since no pocket is a pouch and some bags are pockets, it can be concluded that no bag is a pouch.
2. Some bags are not pouches: This conclusion can also be inferred from the second statement. Since no pocket is a pouch and some bags are pockets, it is evident that some bags are not pouches.
3. Some pockets are bags: This conclusion can be derived from the first statement. If some bags are pockets, then it implies that there are pockets that are also bags.
4. No pocket is a bag: This conclusion cannot be logically deduced from the given statements. While it is true that some bags are pockets, it does not imply that no pocket is a bag.
Conclusion:
Based on the analysis, it can be concluded that:
- Conclusion 1 (No bag is a pouch) follows from the given statements.
- Conclusion 2 (Some bags are not pouches) follows from the given statements.
- Conclusion 3 (Some pockets are bags) follows from the given statements.
- Conclusion 4 (No pocket is a bag) does not follow from the given statements.
Therefore, the correct answer is option 'C' - Only II and III follow.