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All hill-stations have a lake. Ooty has two lakes.
Which of the statement(s) below is/are logically valid and can be inferred from the above sentences?
Which of the statement(s) below is/are logically valid and can be inferred from the above sentences?
(i) Ooty in not a hill-station.
(ii) No hill-station can have more than one lake.
(ii) No hill-station can have more than one lake.
- a)(i) only
- b)(ii) only
- c)both (i) and (ii)
- d)neither (i) nor (ii)
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
All hill-stations have a lake. Ooty has two lakes.Which of the stateme...
Statement (i) is not true because Ooty is a hill station due Ooty has two lakes statement(ii) is also not true, because in given statements, for hill station one lake is compulsory but not mentioned about number of lakes.
Most Upvoted Answer
All hill-stations have a lake. Ooty has two lakes.Which of the stateme...
Understanding the Statements
To analyze the conclusions drawn from the given statements, we start by breaking down the information provided.
Given Statements:
- All hill-stations have a lake.
- Ooty has two lakes.
Analyzing the Conclusions:
Now, we will evaluate the validity of each conclusion based on these statements.
Conclusion (i): Ooty is not a hill-station.
- This statement cannot be inferred because the first statement only asserts that all hill-stations have at least one lake. Ooty having two lakes does not negate its status as a hill-station. Therefore, this conclusion is not logically valid.
Conclusion (ii): No hill-station can have more than one lake.
- The second statement regarding Ooty indicates that it indeed has two lakes. This directly contradicts the conclusion that no hill-station can have more than one lake. Hence, this conclusion is also not logically valid.
Final Evaluation:
Given the analysis above, we can summarize:
- Neither conclusion (i) nor conclusion (ii) is logically valid based on the information provided.
- The correct answer is option 'D': neither (i) nor (ii).
Key Takeaways:
- The premises do not support the negation of Ooty being a hill-station.
- The existence of two lakes in Ooty contradicts the claim that no hill-station can have more than one lake.
In conclusion, both statements are unsupported by the original premises, leading to the understanding that the answer is indeed 'D'.
To analyze the conclusions drawn from the given statements, we start by breaking down the information provided.
Given Statements:
- All hill-stations have a lake.
- Ooty has two lakes.
Analyzing the Conclusions:
Now, we will evaluate the validity of each conclusion based on these statements.
Conclusion (i): Ooty is not a hill-station.
- This statement cannot be inferred because the first statement only asserts that all hill-stations have at least one lake. Ooty having two lakes does not negate its status as a hill-station. Therefore, this conclusion is not logically valid.
Conclusion (ii): No hill-station can have more than one lake.
- The second statement regarding Ooty indicates that it indeed has two lakes. This directly contradicts the conclusion that no hill-station can have more than one lake. Hence, this conclusion is also not logically valid.
Final Evaluation:
Given the analysis above, we can summarize:
- Neither conclusion (i) nor conclusion (ii) is logically valid based on the information provided.
- The correct answer is option 'D': neither (i) nor (ii).
Key Takeaways:
- The premises do not support the negation of Ooty being a hill-station.
- The existence of two lakes in Ooty contradicts the claim that no hill-station can have more than one lake.
In conclusion, both statements are unsupported by the original premises, leading to the understanding that the answer is indeed 'D'.
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All hill-stations have a lake. Ooty has two lakes.Which of the statement(s) below is/are logically valid and can be inferred from the above sentences?(i) Ooty in not a hill-station.(ii) No hill-station can have more than one lake.a)(i) onlyb)(ii) onlyc)both (i) and (ii)d)neither (i) nor (ii)Correct answer is option 'D'. Can you explain this answer?
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