Direction: In the given question below there are three statements foll...
Statements
All oils are sands
Some clays are oils
All clays are rocks
Combining all three statements, we get
Conclusions
I. At least some clays are sands
II. Some oil is not rock
Conclusion I
Some clays are oils + All oils are sands = Some clays are sands
Hence, Thus, the conclusion I follow.
Conclusion II
Some clays are oils → conversion → some oils are clays + All clays are rocks = Some oils are rock. Hence, conclusion II does not follow.
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Direction: In the given question below there are three statements foll...
Given statements:
1. All oils are sands
2. Some clays are oils
3. All clays are rocks
Conclusion I: At Least some clays are sands
Conclusion II: Some oil is not rock
To determine if the conclusions follow logically from the given statements, let's analyze each conclusion separately.
Conclusion I: At Least some clays are sands
This conclusion can be derived from the given statements. Statement 1 states that all oils are sands, and statement 2 states that some clays are oils. Therefore, it is possible for some clays to be sands because if some clays are oils and all oils are sands, then there must be an overlap between clays and sands. Hence, conclusion I logically follows from the given statements.
Conclusion II: Some oil is not rock
This conclusion cannot be derived from the given statements. Statement 3 states that all clays are rocks, but it does not provide any information about the relationship between oil and rock. Therefore, we cannot conclude that some oil is not rock based on the given statements. Hence, conclusion II does not logically follow from the given statements.
In summary, only conclusion I logically follows from the given statements. Therefore, the correct answer is option 'a' - Only Conclusion I follows.