Directions: In the 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:
Statements:
Only a few laptops are cables
Some cables are adapters
No adapters are batteries
Conclusions:
I. Some cables are not batteries
II. All laptops being batteries is a possibility
Correct Answer :
Both conclusions I and II follow
Solution :
The correct answer is Both conclusions I and II follow.
Step-by-step Explanation:
1. Analyze the Given Statements:
- "Only a few laptops are cables": This means that some laptops are cables and some laptops are definitely not cables. There is a partial overlap between the set of laptops and cables.
- "Some cables are adapters": This means there is an intersection between the set of cables and adapters.
- "No adapters are batteries": This means that adapters and batteries are completely disjoint sets and share no elements.
2. Evaluate Conclusion I: "Some cables are not batteries"
- We know that some cables are adapters.
- Since no adapters are batteries, the specific cables that are adapters can never be batteries.
- Thus, there is definitely a portion of cables that are not batteries.
- Hence, Conclusion I logically follows.
3. Evaluate Conclusion II: "All laptops being batteries is a possibility"
- There is no direct negative statement or restriction between laptops and batteries.
- All laptops can be placed inside the set of batteries without violating any of the given statements (the overlap between laptops and cables can exist while both cables and batteries overlap, as long as adapters remain disjoint from batteries).
- Since a Venn diagram arrangement exists where all laptops are batteries without violating any rules, this scenario is a valid possibility.
- Hence, Conclusion II logically follows.
Conclusion:
Since both conclusions I and II logically follow from the statements, the correct option is Both conclusions I and II follow.
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