Statements:
1. Some writers are poets.
2. All poets are artistic.
Conclusions:
I. Some writers are artistic.
II. Some artistic are writers.
Correct: E
Let's represent the statements:
Statement 1: Some writers are poets. (Overlap between Writers and Poets circles).
Statement 2: All poets are artistic. (Poets circle is entirely inside Artistic circle).
Combining the statements: Since 'Some writers are poets' and 'All poets are artistic', it logically follows that the portion of writers who are poets must also be artistic. Therefore, 'Some writers are artistic'.
Now, let's analyze the conclusions:
I. Some writers are artistic. This conclusion directly follows from the combination of the two statements. Thus, Conclusion I follows.
II. Some artistic are writers. This is a conversion of 'Some writers are artistic'. If 'Some A are B', then 'Some B are A' is a valid conversion. Thus, Conclusion II follows.
Therefore, both conclusions I and II follow.