Ann: All the campers at Camp Winnehatchee go to Tri-Cities High School

Check this out

Bill invariably assumes that every T school student is a camper at camp W ! which means only W campers are students at T school !

let us assume that camers at camp winnehatchee = 100 and all 100 go to tri cities high school
bill say not true some campers (e.g20) are from camp lake mount.
but ann never says campers of any other location go to tri cities hgh school.
so bill thinks ann says all are from camp winnehatchee.

(A) Incorrect most of the campers at Camp Lakemont come from high schools other than TriCities.
o

(B) Incorrect most Tri-Cities High School students are campers at Camp Winnehatchee

(C) Incorrect some Tri-Cities High School students have withdrawn from Camp Lakemont

(D) Incorrect all Tri-Cities High School students have withdrawn from Camp Lakemont

(E) Correct only campers at Camp Winnehatchee are students at Tri-Cities High School
pre-thinking matches with E.
TO confirm your answer just negate E
negated E will break down the conclusion

Ann: All the campers at Camp Winnehatchee go to Tri-Cities High School
Bill: That‟s not true. Some Tri-Cities students are campers at Camp Lakemont.
Bill‟s answer can be best explained on the assumption that he has interpreted Ann‟s remark to mean that

(A) most of the campers at Camp Lakemont come from high schools other than TriCities

(B) most Tri-Cities High School students are campers at Camp Winnehatchee

(C) some Tri-Cities High School students have withdrawn from Camp Lakemont

(D) all Tri-Cities High School students have withdrawn from Camp Lakemont

(E) only campers at Camp Winnehatchee are students at Tri-Cities High School

The statement by Ann means that the students at Tri-cities High school goto Camp Winnehatchee only,or only Tri cities High school students goto Camp Winnehatchee.

Ann: All the campers at Camp Winnehatchee go to Tri-Cities High School
Bill: That‟s not true. Some Tri-Cities students are campers at Camp Lakemont.
Bill‟s answer can be best explained on the assumption that he has interpreted Ann‟s remark to mean that

(A) most of the campers at Camp Lakemont come from high schools other than TriCities

(B) most Tri-Cities High School students are campers at Camp Winnehatchee

(C) some Tri-Cities High School students have withdrawn from Camp Lakemont

(D) all Tri-Cities High School students have withdrawn from Camp Lakemont

(E) only campers at Camp Winnehatchee are students at Tri-Cities High School

Why is option D wrong?

I chose E by odding other options out but I am not clear about the stimulus "Bill‟s answer can be best explained on the assumption that he has interpreted Ann‟s remark to mean that" - what does it really mean?

Here, we need to concentrate on what Ann Said? He said All the campers at Camp Winnehatchee go to Tri-Cities High School. But Bill refuted what ann said and opined that some Tri-Cities students are campers at Camp Lakemont. While saying so, Bill assumed that only campers at Camp Winnehatchee are students at Tri-Cities High School. Here we need to concentrate on Camp Winnehatchee.

if Bill's and Ann's place were reversed in the question i.e. Ann‟s answer can be best explained on the assumption that he has interpreted Bill‟s remark to mean that, then answer would have been option D. ( of course we need to modify the argument little bit).

Please correct me if i am wrong.

this question belongs to a special type b/c test takers will have to identify the question.
It is a mix of responding and inference question, not explanation or assumption question.
E is clearly the answer.

Ones can use Venn diagram or the classical inference pattern for this question.
After all other option choices are eliminated. E is the answer.
The source is good for practicing.
Ones should not spend too much time on 1 question.

This question requires us to identify the assumption made by Bill.

Ann states that all the campers at Camp Winnehatchee go to Tri-Cities High School.

Bill counters that by stating that some Tri-Cities students are campers at Camp Lakemont.
Bill assumes that when Ann states that all campers go to the school, she means that only those campers are students at Tri Cities High School. This is stated in Option E.

Bill only states that some of the Tri cities students are campers at Lakemont. He does not mention anything about most of the students at Lakemont. Bill’s statement does not give enough information to point to that assumption. So, Option A can be eliminated.

Bill contradicts Ann’s statement by saying that some Tri cities students are campers at Lakemont. So, his statement is not based on the assumption that most of the campers at Winnehatchee are from Tri cities. Option B can be eliminated.

We do not get enough information from the statements to identify whether students first enrolled and then withdrew from the camp. So, Option C can be eliminated.

Option D also mentions that students have withdrawn. Since we do not have enough information to support this assumption, Option D can also be eliminated.

Therefore, E is the most appropriate option.

Jayanthi Kumar.

Understanding the argument -
Ann: All the campers at Camp Winnehatchee go to Tri-Cities High School - meaning anyone camping at CW goes to TC High School.
Bill: That‟s not true. Some Tri-Cities students are campers at Camp Lakemont. - Bill has conveniently reversed what Ann said. Bill interpreted that Ann said, "All who attend TC High School only attend CW camp. And that's what he negated. His negated conclusion is "not all who go to TC high school go to CW camp." He substantiates his misinterpreted conclusion by saying, "Some, which can be at least two students, are campers at camp L."

We need to look for an assumption for his conclusion: "Not all who go to TC high school go to CW camp." For this conclusion, we need to assume, need minimum condition, or need a missing premise saying (his misinterpreted understanding of what Ann said), "All who go to TC High School only go to CW camp," or "Only campers at CW are students of TC high school." This is "only if conditional," meaning if you are a student of TC High School, you attend CW camp, meaning "all students of TC High School go to CW camp. This is what option E states, but the author has packaged the answer in the "only if" conditional to make it more challenging to figure out the answer.

A key takeaway from this question is his wrong interpretation (All who attend TC High School only attend CW camp) + wrong conclusion (not all who go to TC High School go to CW camp); the assumption or missing premise is his wrong interpretation which is "All who attend TC High School only attend CW camp." Yes, the language of E is in the form of "only if conditional," but it necessarily means all the students of TC high school attend the CW camp.

Option Elimination - This option is checking the sufficient condition for Bill's argument to hold (Question stem - Bill's answer can be best explained on the assumption that he has interpreted Ann's remark to mean that):

(A) most of the campers at Camp Lakemont come from high schools other than Tri-Cities - schools other than TC are out of scope.

(B) most Tri-Cities High School students are campers at Camp Winnehatchee - a more straightforward interpretation would be. Say most is "99.99" of TC High schools students are campera at CW. It's going in a direction opposite to what Bill says. He concludes, saying, "Some Tri-Cities students are campers at Camp Lakemont." Opposite of what we need.

Or this can mean some can also be campers at other camps. We already know this from Bill's argument as he said the same thing by saying, "Some Tri-Cities students are campers at Camp Lakemont." But what is the scope of the argument here? Do we need to find an assumption for the misinterpreted conclusion, which is "not all who go to TC high school go to CW camp," or to strengthen the conclusion "not all who go to TC high school go to CW camp"? Our job here is to find an assumption and not a strengthener.

(C) some Tri-Cities High School students have withdrawn from Camp Lakemont - Bill's conclusion is about the attendance of TC students at Camp L and not about the withdrawal, which is out of scope.

(D) all Tri-Cities High School students have withdrawn from Camp Lakemont - same issue as C with extrapolating from some" to "all." Out of scope.

(E) only campers at Camp Winnehatchee are students at Tri-Cities High School - Option E is tricky. It's a "necessary" conditional. Only if X, then Y.

Example -
Only if you study hard will you pass the exam (Only if you X, then Y). This means Y implies X, and Not X implies not Y.
Means
if you pass the exam, then you must have studied hard.
If you do not study hard, you don't pass the exam.

Makes sense? If yes, then proceed; otherwise, relook at the conditional.

So, the implication of option E (only campers at Camp Winnehatchee are students at Tri-Cities High School) is:
If you are a student at TC High School, you camp at CW, meaning "all students of TC High School camp at CW."

This is precisely what Bill mistakenly took as Ann's conclusion: the missing premise and our assumption or the sufficient condition for the argument to hold.

Can someone please explain why its option E ? What i have understood is -

Ann: All the campers at Camp Winnehatchee go to Tri-Cities High School - let's say there are 100 students that are currently at Camp Winnehatchee and all those students go to Tri-Cities High School.

Bill: That‟s not true. Some Tri-Cities students are campers at Camp Lakemont. - he says that no that's not true there are some students lets say 20 , who study at Tri-Cities and are at Camp Lakemont.

So according to my analysis, what Bill thought Ann said was- All the students who are studying at TCH (as per our example let's assume 120) are going to camp Winnehatchee.

Now my problem with option E is its just stating the obvious (what Ann said) that all campers at Camp Winnehatchee are students of TCH.But maybe im getting confused by the words "Only campers" in the option E, not sure.

Why I think it should be option D? because E is stating the obvious and according to the data provided there are only 2 lakes.

Ann: All the campers at Camp Winnehatchee go to Tri-Cities High School
Bill: That‟s not true. Some Tri-Cities students are campers at Camp Lakemont.

Bill‟s answer can be best explained on the assumption that he has interpreted Ann‟s remark to mean that

(A) most of the campers at Camp Lakemont come from high schools other than TriCities - WRONG. Most is irrelevant and come from other schools is also not necessarily need to be true.

(B) most Tri-Cities High School students are campers at Camp Winnehatchee - WRONG. Extreme to claim most but most importantly it suggests that Bill aligned with Ann which is not the case. Like A somewhat.

(C) some Tri-Cities High School students have withdrawn from Camp Lakemont - WRONG. Withdrawn is irrelevant.

(D) all Tri-Cities High School students have withdrawn from Camp Lakemont - WRONG. Bit extreme and also similar to C to say withdrawn. 

(E) only campers at Camp Winnehatchee are students at Tri-Cities High School - CORRECT. If it's not true then contradicting Ann makes little sense as Bill reverses the situation. If Bill didn't think this way he would not have countered Ann.  

Answer E.