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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: All green are blue. All blue are white.
Conclusions:
- Some blue are green.
- Some white are green.
- Some green are not white.
- All white are blue.
- a)Only (1) and (2)
- b)Only (1) and (3)
- c)Only (1) and (4)
- d)Only (2) and (4)
Correct answer is option 'A'. Can you explain this answer?
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Directions to Solve ...
Statement Analysis:
The given statements are:
1. All green are blue.
2. All blue are white.
Conclusion 1: Some blue are green.
This conclusion can be logically inferred from the given statements. Since all green are blue and all blue are white, it is possible for some blue to be green. This is because there may be some blue objects that are also green.
Conclusion 2: Some white are green.
This conclusion cannot be logically inferred from the given statements. The statements only provide information about the relationship between green, blue, and white. There is no direct information about the relationship between white and green. Therefore, it is not possible to conclude that some white are green based on the given statements.
Conclusion 3: Some green are not white.
This conclusion cannot be logically inferred from the given statements. The statements only provide information about the relationship between green, blue, and white. There is no direct information about the possibility of green objects that are not white. Therefore, it is not possible to conclude that some green are not white based on the given statements.
Conclusion 4: All white are blue.
This conclusion can be logically inferred from the given statements. Since all blue are white, it can be concluded that all white are blue. This is because every white object is also a blue object based on the given statements.
Final Answer:
Based on the analysis, the correct conclusions that logically follow from the given statements are:
- Some blue are green. (Conclusion 1)
- All white are blue. (Conclusion 4)
Therefore, the correct answer is option 'A' - Only (1) and (2).
The given statements are:
1. All green are blue.
2. All blue are white.
Conclusion 1: Some blue are green.
This conclusion can be logically inferred from the given statements. Since all green are blue and all blue are white, it is possible for some blue to be green. This is because there may be some blue objects that are also green.
Conclusion 2: Some white are green.
This conclusion cannot be logically inferred from the given statements. The statements only provide information about the relationship between green, blue, and white. There is no direct information about the relationship between white and green. Therefore, it is not possible to conclude that some white are green based on the given statements.
Conclusion 3: Some green are not white.
This conclusion cannot be logically inferred from the given statements. The statements only provide information about the relationship between green, blue, and white. There is no direct information about the possibility of green objects that are not white. Therefore, it is not possible to conclude that some green are not white based on the given statements.
Conclusion 4: All white are blue.
This conclusion can be logically inferred from the given statements. Since all blue are white, it can be concluded that all white are blue. This is because every white object is also a blue object based on the given statements.
Final Answer:
Based on the analysis, the correct conclusions that logically follow from the given statements are:
- Some blue are green. (Conclusion 1)
- All white are blue. (Conclusion 4)
Therefore, the correct answer is option 'A' - Only (1) and (2).
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Question Description
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