Some tricky wrong answer choices on this one. Here's the breakdown:
Conclusion: Campaigns to raise awareness for endangered species will likely not have much of an impact on the most important environmental problems,
Evidence: It's easy to get people interested in campaigns involving "large mammals" because of the sympathy people feel towards them, but it is much more challenging to get people involved in campaigns with a larger potential impact such as preserving soil micro-organisms on which large ecosystems and agriculture depends. People just don't feel much sympathy for soil micro-organisms like they do for large mammals.
Question: What is a necessary assumption that this argument relies on.
Prephrase: Okay I need to find the gaps that exist in the logic.
The first one I can see is that campaigns to raise awareness which evoke sympathy for endangered large mammals are not likely to have much impact on the most important environmental problems.
The second gap I see is that the state of soil microorganisms (or other organisms on which large ecosystems and agriculture depend) has an impact on the most important environmental problems.
I go to the questions with this in mind.
(A) This addresses the first gap I mentioned above. If you negated this statement it would read: "The most important environmental problems do not involve animals other than large mammals." If that were the case then this argument would be completely invalid, because publicity campaigns to raise awareness about endangered large mammals would impact the most important environmental problems. Winner!
(B) Who cares? This is irrelevant to the argument in the stimulus. There is nothing about "experiencing pain" or "having feelings" in this argument. Get rid of this.
(C) "Publicity campaigns . . . are the most effective" In order to even be able to work with this answer choice one would need to know what is meant by "most effective". "Most effective" could mean the amount of money raised by the publicity campaign or it could mean the size of the environmental problem it would help solve. Based on this answer choice, we just can't tell. Also the answer choice says "some organism" which it too ambiguous of a term. Some could mean a number as small as one in which case it could not be inferred that a publicity campaign which elicits sympathy for one organism would be most effective. The reason being is that this one organism could be a large mammal, the soil microorganism, or an organism not mentioned in the stimulus in which case the effectiveness of the campaign could definitely not be ascertained.
(D) "People ignore environmental problems. . ." This cannot be inferred. We know that publicity campaigns which evoke sympathy for large mammals are unlikely to have much impact on the most important environmental problems, but we cannot assume that just because people are more easily persuaded to become involved in campaigns involving large animals (campaigns which are unlikely to have much impact on the most important environmental problems) that they therefore ignore all other environmental problems. Remember the scope of this argument is limited to the most important environmental problems, and this answer choice is trying to make you believe something about all environmental problems. Get rid of it.
(E) "environmentally significant" This also cannot be inferred based on the information in the stimulus. Remember, this argument references "the most important environmental problems. Just because an organism does not impact the "most important environmental problems" does not mean that it is not "environmentally significant". The word significant is intentionally ambiguous here, and could include the "most important environmental problems", but could also include some environmental problems that are important but not necessarily the "most important". Get rid of this answer choice.