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Directions to Solve
In each of the following questions two statements are given. Which are followed by four conclusions (1), (2), (3) and (4). Choose the conclusions which logically follow from the given statements.
Question - Statements: Some tables are T.V. Some T.V. are radios.
Conclusions:
- Some tables are radios.
- Some radios are tables.
- All the radios are T.V.
- All the T.V. are tables.
- a)Only (2) and (4)
- b)Only (1) and (3)
- c)Only (4)
- d)Only (1) and (4)
- e)None of the four.
Correct answer is option 'E'. Can you explain this answer?
Most Upvoted Answer
Directions to Solve ...
Understanding the Statements
- Statement 1: Some tables are T.V.
- Statement 2: Some T.V. are radios.
These statements indicate a relationship among three categories: tables, T.V., and radios.
Analyzing the Conclusions
1. Conclusion (1): Some tables are radios.
- This conclusion does not necessarily follow because we only know that some tables are T.V. and some T.V. are radios. There's no direct relationship established between tables and radios.
2. Conclusion (2): Some radios are tables.
- Similar to conclusion (1), this does not logically follow. The statements do not provide a direct link between radios and tables.
3. Conclusion (3): All the radios are T.V.
- This is incorrect as the statements suggest only a partial relationship; it can't be concluded that all radios fall under T.V.
4. Conclusion (4): All the T.V. are tables.
- Again, this conclusion is incorrect. The relationships do not suggest that all T.V. belong to tables.
Final Verdict
- None of the conclusions logically follow from the given statements. Therefore, the answer is option 'E': None of the four conclusions are valid.
Key Takeaway
- In logical reasoning, it is crucial to establish direct relationships based on the provided statements. Assumptions beyond what is stated will lead to incorrect conclusions.
- Statement 1: Some tables are T.V.
- Statement 2: Some T.V. are radios.
These statements indicate a relationship among three categories: tables, T.V., and radios.
Analyzing the Conclusions
1. Conclusion (1): Some tables are radios.
- This conclusion does not necessarily follow because we only know that some tables are T.V. and some T.V. are radios. There's no direct relationship established between tables and radios.
2. Conclusion (2): Some radios are tables.
- Similar to conclusion (1), this does not logically follow. The statements do not provide a direct link between radios and tables.
3. Conclusion (3): All the radios are T.V.
- This is incorrect as the statements suggest only a partial relationship; it can't be concluded that all radios fall under T.V.
4. Conclusion (4): All the T.V. are tables.
- Again, this conclusion is incorrect. The relationships do not suggest that all T.V. belong to tables.
Final Verdict
- None of the conclusions logically follow from the given statements. Therefore, the answer is option 'E': None of the four conclusions are valid.
Key Takeaway
- In logical reasoning, it is crucial to establish direct relationships based on the provided statements. Assumptions beyond what is stated will lead to incorrect conclusions.
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