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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 the research scholars are psychologists. Some psychologists are scientists.
Conclusions:
- All the research scholars are scientists.
- Some research scholars are scientists.
- Some scientists are psychologists.
- Some psychologists are research scholars.
- a)Only (3) and (4)
- b)None of the four
- c)All the four
- d)Only (3)
- e)Only (2) and (4)
Correct answer is option 'A'. Can you explain this answer?
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Directions to Solve ...
Solution:
The given statements are:
Statement 1: All the research scholars are psychologists.
Statement 2: Some psychologists are scientists.
We need to find the conclusions that logically follow from these statements. Let's analyze each conclusion one by one:
Conclusion 1: All the research scholars are scientists.
This conclusion cannot be logically derived from the given statements. Although some psychologists are scientists, it does not necessarily mean that all research scholars are scientists. Therefore, conclusion 1 does not follow.
Conclusion 2: Some research scholars are scientists.
This conclusion also cannot be logically derived from the given statements. While it is true that some psychologists are scientists, it does not guarantee that some research scholars are also scientists. Therefore, conclusion 2 does not follow.
Conclusion 3: Some scientists are psychologists.
This conclusion can be logically derived from the given statements. Statement 2 mentions that "Some psychologists are scientists," which implies that there is an overlapping between the two groups. Therefore, conclusion 3 follows.
Conclusion 4: Some psychologists are research scholars.
This conclusion can also be logically derived from the given statements. Statement 1 mentions that "All the research scholars are psychologists," which implies that there is at least some overlap between psychologists and research scholars. Therefore, conclusion 4 follows.
Based on the above analysis, the conclusions that logically follow from the given statements are:
- Conclusion 3: Some scientists are psychologists.
- Conclusion 4: Some psychologists are research scholars.
Therefore, the correct answer is option A: Only (3) and (4).
The given statements are:
Statement 1: All the research scholars are psychologists.
Statement 2: Some psychologists are scientists.
We need to find the conclusions that logically follow from these statements. Let's analyze each conclusion one by one:
Conclusion 1: All the research scholars are scientists.
This conclusion cannot be logically derived from the given statements. Although some psychologists are scientists, it does not necessarily mean that all research scholars are scientists. Therefore, conclusion 1 does not follow.
Conclusion 2: Some research scholars are scientists.
This conclusion also cannot be logically derived from the given statements. While it is true that some psychologists are scientists, it does not guarantee that some research scholars are also scientists. Therefore, conclusion 2 does not follow.
Conclusion 3: Some scientists are psychologists.
This conclusion can be logically derived from the given statements. Statement 2 mentions that "Some psychologists are scientists," which implies that there is an overlapping between the two groups. Therefore, conclusion 3 follows.
Conclusion 4: Some psychologists are research scholars.
This conclusion can also be logically derived from the given statements. Statement 1 mentions that "All the research scholars are psychologists," which implies that there is at least some overlap between psychologists and research scholars. Therefore, conclusion 4 follows.
Based on the above analysis, the conclusions that logically follow from the given statements are:
- Conclusion 3: Some scientists are psychologists.
- Conclusion 4: Some psychologists are research scholars.
Therefore, the correct answer is option A: Only (3) and (4).
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