Directions (92-95) : In each of the questions below some statements are given followed by two conclusions. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.
Statements: I. No Sea is marine
II. Some Mango is Sea
III. 100% Yatch are Marine
Conclusions. I. All Mango can be Yatch
II. Some Mango is not Marine
Correct Answer :
If only conclusion II follow
Solution :
Let us analyze the given statements step-by-step using fundamental logical rules of syllogism:
Given Statements:
1. No Sea is Marine. (Negative relation between Sea and Marine: 0% overlap)
2. Some Mango is Sea. (Partial overlap between Mango and Sea)
3. 100% Yatch are Marine. (This means "All Yatch are Marine", so the set of Yatch is entirely contained inside Marine)
Analysis of Conclusions:
Conclusion I: All Mango can be Yatch
From Statement 2, some part of Mango is Sea (the part of Mango that overlaps with Sea).
From Statement 1, No Sea is Marine, which means no part of Sea can ever be Marine.
Since all Yatch are Marine (Statement 3), no part of Sea can ever be Yatch either.
Therefore, the specific part of Mango that is Sea can never be Yatch.
Hence, it is impossible for All Mango to be Yatch. Thus, Conclusion I does not follow.
Conclusion II: Some Mango is not Marine
From Statement 2, there exists a part of Mango that is Sea.
From Statement 1, no Sea can be Marine, so that specific part of Mango which is Sea cannot be Marine.
Therefore, at least that portion of Mango is definitely not Marine.
Hence, "Some Mango is not Marine" is a definite true conclusion. Thus, Conclusion II logically follows.
Therefore, only conclusion II follows from the given statements.
The correct answer is If only conclusion II follow.
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