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 :
Correct Answer: Both I and II follow
Step-by-Step Explanation:
1. Understanding the Given Statements:
• Statement 1: "Only a few Phone is Device."
This means "Some Phone are Device" AND "Some Phone are not Device". However, regarding Device, it allows for possibilities as long as Device does not completely encompass Phone unless specified otherwise, but specifically "Only a few A is B" means A can never fully be inside B (Some A are B and Some A are not B).
• Statement 2: "All Laptop is Device."
This means the entire set of Laptop is inside the set of Device.
• Statement 3: "No Charger is Laptop."
This means there is no intersection between Charger and Laptop.
2. Evaluating Conclusion I: Some Device are not Charger
• We know from Statement 2 that All Laptop is Device, which means the elements belonging to Laptop are a part of Device.
• Statement 3 tells us that No Charger is Laptop (or No Laptop is Charger).
• Since all Laptops are inside Device, those Devices which are Laptops can never be Chargers.
• Therefore, the portion of Device that consists of Laptop is definitely not Charger.
• Hence, Conclusion I (Some Device are not Charger) logically follows.
3. Evaluating Conclusion II: All Device being Phone is a possibility
• The statement "Only a few Phone is Device" means:
1. Some Phone are Device.
2. Some Phone are NOT Device (All Phone can never be Device).
• However, "Only a few Phone is Device" does not prevent all Devices from being inside Phone! Entire Device can potentially be inside Phone while Phone still has some elements outside Device, satisfying "Only a few Phone is Device".
• Since there is no negative relationship restricting Device from going entirely inside Phone, a Venn diagram where the set of Device is completely inside Phone is entirely valid and possible.
• Hence, Conclusion II (All Device being Phone is a possibility) logically follows.
Conclusion:
Since both Conclusion I and Conclusion II are correct, the right option is Both I and II follow.
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