Directions (96 -100) : In the question below three 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:
Only a few Gun is Point
No Point is Pin
All Pin is Glue
Conclusions:
I. Some Glue is not Point
II. Some Gun is not Pin.
Correct Answer :
Both conclusions I and II follow
Solution :
Correct Answer: Both conclusions I and II follow
Step-by-Step Explanation:
Step 1: Understand the given statements
1. "Only a few Gun is Point": This means that some part of Gun is Point, and some part of Gun is definitely NOT Point (Some Gun is Point AND Some Gun is not Point).
2. "No Point is Pin": There is no intersection between the set Point and the set Pin. No element of Point can ever be in Pin, and vice versa.
3. "All Pin is Glue": The entire set of Pin lies inside the set of Glue (Pin is a subset of Glue).
Step 2: Evaluate Conclusion I
Conclusion I: Some Glue is not Point
From statement 3, we know that all Pins are inside Glue. From statement 2, we know that no Point is a Pin. Therefore, the region of Glue that contains Pin can never overlap with or belong to Point. Thus, that specific portion of Glue (which is Pin) is strictly not Point. Hence, Conclusion I logically follows.
Step 3: Evaluate Conclusion II
Conclusion II: Some Gun is not Pin
From statement 1, we know that "Only a few Gun is Point", which implies some portion of Gun is definitely inside Point. From statement 2, we know that "No Point is Pin", meaning no part of Point can overlap with Pin. Since the portion of Gun that lies inside Point cannot enter Pin, that portion of Gun will definitely not be Pin. Hence, Conclusion II logically follows.
Conclusion:
Since both Conclusion I and Conclusion II logically follow from the given statements, the correct option is Both conclusions I and II follow.
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