Question 153

Four statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.

Statements:
1. Some hill is land.
2. All land is plateau.
3. Only a few land is peak.
4. Some peak is valley.

Conclusions:
I. Some peak is hill.
II. No hill is peak.

Solution

Case 1:

Some peak is hill (Conclusion I)

In this case, we consider that some part of the peak overlaps with the hill. This is possible because some part of the hill is land (from statement 1), and only a few land is peak (from statement 3). So, there could be a scenario where the part of the hill that is land also happens to be part of the peak.

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Case 2:

No hill is peak (Conclusion II)

In this case, we consider that there is no overlap between the hill and the peak. This is also possible because even though some part of the hill is land, and only a few land is peak (from statement 3), it doesn’t necessarily mean that the part of the hill that is land has to be part of the peak.

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So, in each case, one conclusion can be true without contradicting the given statements. Therefore, you’re correct that Option C: Either conclusion I or II follows is the correct answer. This means that based on the given statements, either “Some peak is hill” or “No hill is peak” could be true, but we can’t definitively conclude which one is correct.


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