Two 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 follow(s) from the statements.

Statements:
1) Some snacks are meals.
2) All juices are snacks.

Conclusions:
I. All juices can never be meals.
II. All meals are snacks.

To determine which of the conclusions logically follow from the given statements, we can analyze the relationships using a Venn diagram or logical reasoning.

Given Statements:
1) Some snacks are meals. (This means there is an intersection between the set of snacks and the set of meals, but not necessarily that all snacks are meals or vice versa.)
2) All juices are snacks. (This means the set of juices is entirely contained within the set of snacks.)

Let's evaluate each conclusion based on these statements:

Conclusion I: All juices can never be meals.
The statements tell us that all juices are snacks, and some snacks are meals. It is possible that the portion of snacks that are meals overlaps with the set of juices. Since there is a possible scenario (a Venn diagram representation) where juices and meals overlap, saying they "can never be meals" is incorrect. A possibility exists for juices to be meals, so this conclusion does not logically follow.

Conclusion II: All meals are snacks.
Statement 1 states that "Some snacks are meals." This only guarantees a partial overlap. It does not establish that the entire set of meals is contained within the set of snacks. Therefore, we cannot conclude that all meals are snacks. Thus, this conclusion does not logically follow.

Since neither Conclusion I nor Conclusion II logically follows from the given statements, the correct option is Neither Conclusion I nor II follows.