Direction: In the question below are given three statements followed ...
Given statements:
1. No tangy is sweet.
2. No sour is spicy.
3. Only a few sweet are sour.
Conclusion I: All spicy can be tangy.
Conclusion II: No sour being sweet is a possibility.
To determine if the conclusions logically follow from the given statements, let's analyze each conclusion separately.
Conclusion I: All spicy can be tangy.
To evaluate the validity of this conclusion, we need to examine the given statements. The first statement states that no tangy is sweet, which means that there is no overlap between the categories of tangy and sweet. The second statement states that no sour is spicy, which means there is no overlap between the categories of sour and spicy. From these two statements, we cannot conclude that all spicy can be tangy, as there is no direct relationship between spicy and tangy. Therefore, conclusion I does not logically follow from the given statements.
Conclusion II: No sour being sweet is a possibility.
To evaluate the validity of this conclusion, we need to consider the given statements. The third statement states that only a few sweet are sour. This means that there is some overlap between the categories of sweet and sour, but it is not specified whether this overlap is complete or partial. Therefore, it is possible that no sour is sweet, as there may be some sweet items that are not sour. Hence, conclusion II logically follows from the given statements.
Therefore, the correct answer is option 'A' - Only conclusion II follows.
Direction: In the question below are given three statements followed ...
The least possible Venn diagram for the given statements is as follows.
Conclusions:
I. All spicy can be tangy → True (As we can see the relation between spicy and tangy is not clear. So, all spicy can be tangy is a possibility and is true)
II. No sour being sweet is a possibility → False (As we can see that some sweet are sour and some sweet are not sour. So, the conclusion no sour being sweet is a possibility does not follow)
So, only conclusion I follow.
Hence, the correct option is (A).
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