Directions to SolveIn each of the following questions there are three ...
Statements:
- All the papers are books.
- All the bags are books.
- Some purses are bags.
Conclusions:
- Some papers are bags.
- Some books are papers.
- Some books are purses.
Explanation:To determine which conclusions logically follow from the given statements, we need to analyze the statements and see if the conclusions can be inferred from them.
Conclusion 1: Some papers are bags.This conclusion can be logically inferred from the given statements. Since all the papers are books and all the bags are books, it is possible for some papers to also be bags. Therefore, conclusion 1 follows from the given statements.
Conclusion 2: Some books are papers.This conclusion can also be logically inferred from the given statements. Since all the papers are books, it is evident that some books are papers. Therefore, conclusion 2 follows from the given statements.
Conclusion 3: Some books are purses.This conclusion cannot be logically inferred from the given statements. Although it is stated that some purses are bags, there is no direct connection between books and purses in the given statements. Therefore, conclusion 3 does not follow from the given statements.
Conclusion:Based on the analysis, only conclusions 1 and 2 logically follow from the given statements. Therefore, the correct answer is option B - Only (2) and (3).