In the following question, three statements (I, II, III) are given, followed by four conclusions, numberred 1, 2, 3, and 4. Take the given statements to be true, however improbable it may seem. Read all the conclusions and decide which of them logically follows from the given statements.
Statements:
I. Some men are geniuses
II. Some professors are men
III. All geniuses are researchers
Conclusions:
1. Some geniuses are men
2. Some geniuses are not men
3. Some researchers are men
4. Some professors are geniuses