Three statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.

Statements:

1. Some teachers are professors.

2. Some researchers are teachers.

3. All professors are researchers.

Conclusions:

I. Some teachers are researchers.

II. Some researchers are professors.

III. Some professors are teachers.

Statements:

1. Some teachers are professors.

2. Some researchers are teachers.

3. All professors are researchers.

I. Some teachers are researchers. (Follows)

Some teachers are professors, all professors are researchers, it implies that Some teachers are researchers follow.

II. Some researchers are professors. (Follows)

Some researchers are teachers, all professors are researchers, it implies that Some researchers are professors follow.

III. Some professors are teachers. (Follows)

Some teachers are professors, all professors are researchers, it implies that Some professors are teachers follow.

Thus, Option D is the correct answer.

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