Your thinking is a bit backwards on this, I believe. Neither (i) nor (ii), when negated, would actually do anything to the argument. Why? Because
awareness has nothing to do with the gap between the premise and the conclusion.
Most fruit is sprayed with dangerous pesticides before it is harvested
+
If covered in pesticide, dangerous until washed
+
Cafeteria doesn't wash apples it sells
→
Cafeteria is selling pesticide covered fruit, endangering its patrons
There are a few gaps to attack here. Here is a list of possibilities:
(1) The apples that the cafeteria sells are actually a part of the "most fruit sprayed with dangerous pesticides" group. If they are not, then why would they be dangerous or covered in pesticide?
(2) That there is no washing that happens after being covered in pesticide and before being given to cafeteria because, as we know, the cafeteria certainly doesn't wash them!
(3) That pesticides are indeed dangerous. This one really isn't a gap to attack though because we are probably going to accept this as a premise rather than an intermediate conclusion (let me know if you don't know what I mean.
This list is certainly not exhaustive and there may be more necessary assumptions but the best answers are usually ones that are most explicit (though definitely not always the most obvious!).
The negation of (C) is "NOT many of the cafeteria's are unaware that the cafeteria does not wash the applies it sells." Now the real question is, does "NOT many" = "none?" I ask this because some believe that "many" and "some" are interchangeable and the negation of "some" is "none." However, we can be sure that the negation is "NOT many," regardless of the implications of this. To understand why this is, read the Manhattan LR guide or perhaps other stuff online. Anyone could explain it better than I could I bet!
stm_512 Wrote:i) Many of the cafeteria's patrons are aware that the cafeteria does not wash the apples it sells. or
ii) None of the cafeteria's patrons are unaware that the cafeteria does not wash the apples it sells.
But if the proper negation is ii, then every cafeteria patron is aware of of the danger, clearly undermining the argument!
Nope! Awareness never does anything to the argument. They are aware; they aren't aware. Who cares?! This is because the argument can stand either way! Think about it. If you took the idea that "everyone in the cafeteria is aware" and placed it in the middle of the argument, what happens?
Most fruit is sprayed with dangerous pesticides before it is harvested
+
If covered in pesticide, dangerous until washed
+
Cafeteria doesn't wash apples it sells
+
Cafeteria workers are aware!
→
Cafeteria is selling pesticide covered fruit, endangering its patrons
The answer is nothing. This means that it cannot be the correct answer; the argument stands perfectly fine with and without the assumption!
What do you think, stm_512?