Question : Directions: In the following question, two statements are given followed by three conclusions I, II, and III. You have to consider the two statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements.
Statements:
No cities are countries.
No countries are villages.
Conclusions:
I. Some countries are cities.
II. No village is a city.
Option 1: Only conclusions I follows
Option 2: Only conclusions II follows
Option 3: Both conclusions follow
Option 4: Neither conclusion I nor conclusion II follows
Correct Answer: Neither conclusion I nor conclusion II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some countries are cities – According to the Venn diagram, there is a negative relation between cities and countries. Therefore, some countries are cities is a false conclusion.
Conclusion (II):
No village is a city – According to the Venn diagram, there is no definite relation between cities and villages. So, this conclusion is false.
So, neither conclusion I nor conclusion II follows. Hence, the fourth option is correct.
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