For the question below, analyze the provided statements and determine which of the conclusions logically follow, assuming the statements to be completely true regardless of how they compare to real-world facts. Select the correct option.
Statements:
Only a few Phone is Device.
All Laptop is Device.
No Charger is Laptop.
Conclusions:
I. Some Device are not Charger
II. All Device being Phone is a possibility
Correct Answer :
Both I and II follow
Solution :
The correct option is Both I and II follow.
Step-by-step Explanation:
Let's analyze the given statements and check the validity of each conclusion logically.
Given Statements:
1. Only a few Phone is Device: This means "Some Phone are Device" AND "Some Phone are not Device".
2. All Laptop is Device: The entire set of Laptop lies inside the set of Device.
3. No Charger is Laptop: There is no intersection between the set of Charger and Laptop.
Analyzing Conclusion I: "Some Device are not Charger"
From Statement 2, we know that all Laptops are inside Device. Thus, those Devices that are Laptops can never be Charger (since No Charger is Laptop). Therefore, the portion of Device that is Laptop is definitely not Charger. Hence, Conclusion I logically follows.
Analyzing Conclusion II: "All Device being Phone is a possibility"
The phrase "Only a few Phone is Device" restricts all Phones from going inside Device (i.e., All Phone being Device is NOT possible). However, it does NOT restrict all Devices from going inside Phone. Hence, it is entirely possible for all Devices to be contained within the set of Phone without violating any given statements. Thus, Conclusion II logically follows.
Therefore, Both conclusion I and conclusion II follow.
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