Three statements are followed by conclusions numbered I, II. You have to consider these 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 given statement.
Statements:
All space is wind.
Some wind is earth.
Some fire is earth.
Conclusion (I): All earth is space.
Conclusion (II): Some wind is fire.
Correct Answer :
Neither conclusion (I) nor (II) follows.
Solution :
Correct Answer: Neither conclusion (I) nor (II) follows.
Let us analyze the given statements step-by-step using logical deductions:
Given Statements:
1. All space is wind. (Universal Affirmative statement)
2. Some wind is earth. (Particular Affirmative statement)
3. Some fire is earth. (Particular Affirmative statement)
Now, let us evaluate each conclusion based on these statements:
Evaluating Conclusion (I): "All earth is space."
From Statement (1) "All space is wind", we know that the entire set of "space" is contained within "wind".
From Statement (2) "Some wind is earth", there is an overlap between "wind" and "earth". However, this does not require "earth" to overlap with "space" at all, let alone have "all earth" inside "space". Thus, Conclusion (I) does not logically follow.
Evaluating Conclusion (II): "Some wind is fire."
From Statement (2), "Some wind is earth", and from Statement (3), "Some fire is earth", both "wind" and "fire" have an overlap with "earth". However, the overlapping portion of "earth" with "wind" and with "fire" may be completely different. There is no direct or definite relationship given between "wind" and "fire". Therefore, Conclusion (II) is only a possibility and does not definitely follow.
Since neither Conclusion (I) nor Conclusion (II) definitely follows from the given statements, the correct option is Neither conclusion (I) nor (II) follows.
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