In the following question below are given some statements followed by ...
Given Statements:
I. No F is N.
II. All N are L.
The least possible Venn diagram for the given statement is:
Conclusions:
I. All F are L - False (Because, All N are L and no F is N, so those part of N that is L will be definitely not F).
II. All N are F - False (Because, No F is N).
III. Some L are N - True (Because, All N are L so, some L are N is definitely true).
So, Only conclusion III follows.
Hence, the correct answer is "Option 2".
View all questions of this testIn the following question below are given some statements followed by ...
Given Statements:
- I. No F is N.
- II. All N are L.
Conclusions:
- I. All F are L.
- II. All N are F.
- III. Some L are N.
Explanation:
- From statement I, it can be inferred that there is no intersection between F and N.
- From statement II, it can be inferred that all N are included in L.
- Conclusion II (All N are F) contradicts statement I (No F is N), so it does not logically follow.
- Conclusion I (All F are L) is not supported by the given statements as there is no direct relationship established between F and L.
- Conclusion III (Some L are N) logically follows as all N are included in L, implying that there must be some overlap between L and N.
Therefore, only conclusion III (Some L are N) logically follows based on the given statements.