I like your instincts on this one, but it does need to be true that there are no birds that compete with the yellow warbler for food. Otherwise, we would not be able to establish that the yellow warbler has no competition for food in the restricted flying range.
If there were some birds who compete for food with the yellow warbler, than it would not be possible to establish the conclusion based on the evidence.
Here's something very important to applying the Negation Test on Necessary Assumption questions. We're not just looking for something that is necessary to the conclusion, but necessary to the reasoning of the argument. Ruling out other yellow warblers would not permit one to conclude that yellow warblers who are molting have no competition for food, unless we also rule out other possible competitors as well. So when you apply the Negation Test, don't just ask yourself whether the conclusion has been destroyed, ask yourself whether the reasoning has been destroyed.
Answer choice (C) needs to be true in order for the elimination of other yellow warblers to justify the claim that molting yellow warblers have no competition for food.
Let's look at the incorrect answer choices:
(A) is not needed since the argument never claims that there is enough food for the molting yellow warbler, just that it faces no competition.
(B) is irrelevant. This could be a characteristic of other birds as well.
(D) supports the conclusion, but need to be true in order for the argument's reasoning to follow. Additionally, this answer choice permits the possibility that sometimes these other birds do compete with yellow warblers, which would then undermine the argument.
(E) is irrelevant. The size of the core feeding area need not always be the same. There could be factors such as climate and terrain that impact the size of the core feeding area that warblers all seem to recognize.
Hope that helps!
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