Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: All cities are villages. No country is a city. Conclusions:I. No country is a village.II. No village is a city.
- ANeither conclusion I nor II follows
- BOnly conclusion I follows
- COnly conclusion II follows
- DBoth the conclusions follow
Solution & Step-by-step Explanation
Let's analyze the statements using standard logical deduction or Venn diagrams: All cities are villages: This means the set of 'Cities' is entirely inside the set of 'Villages'.No country is a city: This means the set of 'Country' has no overlap with the set of 'Cities'. However, 'Country' can still overlap with the remaining part of 'Villages'.Now let's check the conclusions:Conclusion I: No country is a village. This is not necessarily true because 'Country' can overlap with the part of 'Villages' that does not contain 'Cities'. Thus, it does not logically follow.Conclusion II: No village is a city. From statement 1, we know that "All cities are villages". This implies that some villages are definitely cities. Therefore, "No village is a city" is definitely false.Hence, neither conclusion I nor II follows.