In this question, three statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follows/follow from the statements.
Statements:
I. No art is a drawing.
II. Some drawings are paintings.
III. All sketches are paintings.
Conclusions:
I. No sketch is a drawing.
II. No painting is an art.

Let's analyze the connections between terms:
Statements:

No art is a drawing. (Art and Drawing have no intersection)

Some drawings are paintings.

All sketches are paintings. (The circle of sketches is completely inside paintings)

Conclusions:

I. No sketch is a drawing: Sketches are entirely inside paintings. Since some drawings are paintings, it is possible for sketches to overlap with drawings or stay separate from drawings. There is no definitive statement barring sketches from being drawings. Hence, this does not definitely follow.

II. No painting is an art: We know that no art is a drawing, and some drawings are paintings. The part of paintings that is drawing cannot be art, but the remaining part of paintings can potentially be art. Thus, we cannot conclusively say that no painting is art. Hence, this does not follow.

Therefore, neither conclusion I nor II follows.