Answer: Option B
In the given sentence, we need to choose the appropriate prepositions to correctly convey the intended meaning. Let's look at the options one by one and see which one fits the context.
Option A: between; about - The preposition "between" is appropriate for two parties, but in the given sentence, we are talking about multiple great powers. Therefore, the preposition "among" would be more appropriate. Additionally, "about" implies a discussion or debate, which is not the intended meaning here.
Option B: among; on - The preposition "among" is appropriate when we talk about multiple parties. In the given sentence, we are referring to the great powers, which are more than two. The preposition "on" is also appropriate in the context of negotiating a treaty, as it implies the topic or subject of discussion.
Option C: in; for - The preposition "in" doesn't convey the intended meaning, as it implies a location or a state of being inside something. The preposition "for" also doesn't fit the context, as it implies a purpose or a beneficiary.
Option D: with; about - The preposition "with" implies a collaboration or partnership, which is not the intended meaning in the given sentence. The preposition "about" also doesn't fit the context, as it implies a discussion or debate.
Option E: None of these - As explained above, option B is the most appropriate preposition combination for the given sentence.
In conclusion, the correct answer is option B - among; on. The sentence would read, "There was no agreement among the great powers on a treaty to ban nuclear weapons."