Statements:
Some map is atlas
No globe are map
All atlas is paper
Conclusions:
I. Some paper is not globe
II. Some map is paper
In each question below some statements are given followed by two conclusions numbered I and II. 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. Give answer-
Correct Answer :
If both conclusions I and II follow
Solution :
Correct Answer: If both conclusions I and II follow
Let us analyze the given statements step-by-step using standard set relationships and Venn diagram logic.
Given Statements:
1. Some map is atlas.
2. No globe are map (which means No map is globe).
3. All atlas is paper.
Analysis of Conclusion I: Some paper is not globe
From Statement 1 ("Some map is atlas") and Statement 3 ("All atlas is paper"), we know that those items which are "map" and "atlas" are also definitely inside the set of "paper".
This means there is a common region (intersection) between "paper" and "map". So, some paper is map.
Now, from Statement 2, "No globe are map" (no map can ever be a globe).
Since the portion of "paper" that overlaps with "map" cannot be a "globe", those specific elements of "paper" can never be a "globe".
Therefore, Conclusion I ("Some paper is not globe") logically follows.
Analysis of Conclusion II: Some map is paper
From Statement 1, we have an intersection between "map" and "atlas" (Some map is atlas).
From Statement 3, every "atlas" is entirely included inside "paper" (All atlas is paper).
Since the part of "map" that is "atlas" is automatically inside "paper", it directly implies that there is an overlap between "map" and "paper".
Therefore, Conclusion II ("Some map is paper") logically follows.
Conclusion:
Since both Conclusion I and Conclusion II logically follow from the given statements, the correct option is If both conclusions I and II follow.
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