The use of NEGATE in assumption problem

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by ceilidh.erickson » Thu Jan 24, 2013 1:14 pm
The idea behind the NEGATION approach is this: if a given assumption is necessary to a conclusion, then the opposite of the assumption (the negation) will undermine the conclusion. Consider the following:

Premise: Sales of product X have increased.
Conclusion: Profits of product X must also have increased.
Assumption: Costs have not increased.

Let's try the Negation Test. Take the opposite of that assumption: Costs HAVE increased.
What does that do to the conclusion? It undermines it - now we don't know whether profits will have increased. This must mean that the assumption we came up with is a necessary one.

You're right, this negation test doesn't work perfectly on every assumption problem, but it will work on most of them. Did you have a particular problem in mind?
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by amysky_0205 » Thu Jan 24, 2013 7:35 pm
ceilidh.erickson wrote:The idea behind the NEGATION approach is this: if a given assumption is necessary to a conclusion, then the opposite of the assumption (the negation) will undermine the conclusion. Consider the following:

Premise: Sales of product X have increased.
Conclusion: Profits of product X must also have increased.
Assumption: Costs have not increased.

Let's try the Negation Test. Take the opposite of that assumption: Costs HAVE increased.
What does that do to the conclusion? It undermines it - now we don't know whether profits will have increased. This must mean that the assumption we came up with is a necessary one.

You're right, this negation test doesn't work perfectly on every assumption problem, but it will work on most of them. Did you have a particular problem in mind?
Hii Ceilidh!

thank u for ur reply on this!

actually yes i have a problem in mind that makes me want to clarify the question i raise!

here it is~

In a study conducted in Pennsylvania, servers in various restaurants wrote "Thank you" on randomly selected bills before presenting the bills to their customers. Tips on these bills were an average of three percentage points higher than tips on bills without the message. Therefore, if servers in Pennsylvania regularly wrote "Thank you" on restaurant bills, their average income from tips would be significantly higher than it otherwise would have been.

Which of the following is an assumption on which the argument relies?

A. The "Thank you" messages would have the same impact on regular patrons of a restaurant as they would on occasional patrons of the same restaurant.
B. Regularly seeing "Thank you" written on their bills would not lead restaurant patrons to revert to their earlier tipping habits.
C. The written "Thank you" reminds restaurant patrons that tips constitute a significant part of the income of many food servers.
D. The rate at which people tip food servers in Pennsylvania does not vary with how expensive a restaurant is.
E. Virtually all patrons of the Pennsylvania restaurants in the study who were given a bill with "Thank you" written on it left a larger tip than they otherwise would have.

OA: B

thank u!!!

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by e-GMAT » Thu Jan 24, 2013 11:22 pm
amysky_0205 wrote:Hi all,

I would like to know the use of the NEGATE in assumption problems.

since not every assumption question can use this technique to solve the problem.

thank u!!!!!!
Hi Amysky,

In my experience of all the OG questions, the negation test works and logically also, it should always work.

Here is the logic:
An assumption is, by definition, an unstated premise. An assumption must be true for the conclusion to hold true.

In other words, "presence of an assumption" is a necessary condition for the conclusion to hold true. Now, if a necessary condition doesn't hold true, we know that the result won't be there.

Therefore, if we negate the assumption, the conclusion should be undermined always.

Now. coming to the OG question you put up.

Let's negate choice B. Negation would be:

Regularly seeing "Thank you" written on their bills would lead restaurant patrons to revert to their earlier tipping habits.

Now, the conclusion says that:
If servers in Pennsylvania regularly wrote "Thank you" on restaurant bills, their average income from tips would be significantly higher than it otherwise would have been.

Now, if regularly writing "Thank you" would make the patrons stop giving higher tips, it should not lead to a significantly higher income for the servers.

Isn't it?

The negation test holds here.

Let me know if you need some more clarity on this.

Thanks,
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by amysky_0205 » Thu Jan 24, 2013 11:37 pm
Hii E-Gmat,

thank u for ur explanation! it's really clear!

I would like to ask if strengthen questions can use the same tip too?

The following is an example.

A study followed a group of teenagers who had never smoked and tracked whether they took up smoking and how their mental health changed. After one year, the incidence of depression among those who had taken up smoking was four times as high as it was among those who had not. Since nicotine in cigarettes changes brain chemistry, perhaps thereby affecting mood, it is likely that smoking contributes to depression in teenagers.

Which of the following, if true, most strengthens the argument?

A. Participants who were depressed at the start of the study were no more likely to be smokers after one year than those who were not depressed.
B. The study did not distinguish between participants who smoked only occasionally and those who were heavy smokers.
C. Few, if any, of the participants in the study were friends or relatives of other participants.
D. Some participants entered and emerged from a period of depression within the year of the study.
E. The researchers did not track use of alcohol by the teenagers.

OA:A

thank u so much!

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by e-GMAT » Fri Jan 25, 2013 12:19 am
amysky_0205 wrote:Hii E-Gmat,

thank u for ur explanation! it's really clear!

I would like to ask if strengthen questions can use the same tip too?

The following is an example.

A study followed a group of teenagers who had never smoked and tracked whether they took up smoking and how their mental health changed. After one year, the incidence of depression among those who had taken up smoking was four times as high as it was among those who had not. Since nicotine in cigarettes changes brain chemistry, perhaps thereby affecting mood, it is likely that smoking contributes to depression in teenagers.

Which of the following, if true, most strengthens the argument?

A. Participants who were depressed at the start of the study were no more likely to be smokers after one year than those who were not depressed.
B. The study did not distinguish between participants who smoked only occasionally and those who were heavy smokers.
C. Few, if any, of the participants in the study were friends or relatives of other participants.
D. Some participants entered and emerged from a period of depression within the year of the study.
E. The researchers did not track use of alcohol by the teenagers.

OA:A

thank u so much!
Hi,

The same tip generally doesn't apply to strengthen question. Again, the reason is the same. A strengthener is not a "must be true" statement, thus negating it might or might not undermine the conclusion.

In the given question, negating option A is weakening the conclusion but it is not always the case.

Consider below OG question posted on BTG (https://www.beatthegmat.com/doubt-in-cr-t59335.html)

Several industries have recently switched at least partly from older technologies powered by fossil fuels to new technologies powered by electricity. It is thus evident that less fossil fuel is being used as a result of the operations of these industries than would have been used if these industries had retained their older technologies.

Which of the following, if true, most strengthens the argument above?
(A) Many of the industries that have switched at least partly to the new technologies have increased their output.
(B) Less fossil fuel was used to manufacture the machinery employed in the new technologies than was
originally used to manufacture the machinery employed in the older technologies.
(C) More electricity is used by those industries that have switched at least partly to the new technologies than by those industries that have not switched.
(D) Some of the industries that have switched at least partly to the new technologies still use primarily technologies that are powered by fossil fuels.
(E) The amount of fossil fuel used to generate the electricity needed to power the new technologies is less than the amount that would have been used to power the older technologies.

Here, the answer is option E. Let's negate this. We get:
The amount of fossil fuel used to generate the electricity needed to power the new technologies is not less than the amount that would have been used to power the older technologies.

Now, this does not undermine the conclusion, even though on the face of it, it may look so.

Why does it not undermine?

Because it eliminates only one of the reasons which could have supported our conclusion. However, there could be other reasons which make our conclusion stand e.g.
A lot of energy was wasted in cleaning the air caused by pollution due to the use of fossil fuels in older technologies.

If this is true, our conclusion still stands very much true, even when we negate the strengthener.

The key difference between an assumption and a strengthener is that an assumption is always a part of reasoning to support the conclusion, while a strengthener is not always required for the reasoning to support the conclusion.

Therefore, negation test won't always help in case of strengtheners.

Hope this helps :)

Thanks,
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by tanviet » Fri Jan 25, 2013 11:47 pm
thank you experts.

the problem to students is that in many assumption questions, the incorrect answer is an assumption. This means there are an assumption, the oa, and a strenthener among answer choices and in this situation, students are often confused and consider the strengthener an assumption and fail.

do you suggest any tips to differentiate between an assumption and strengthener.?

Thank you

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by tanviet » Sat Jan 26, 2013 12:06 am
I want to edit the above posting.
the problem is that in many assumption questions, there are both a strengtherner and assumption among the answer choices and it is hard to differentiate between a strengthener and assumption

do you suggest any tips to differentiate between a strengthener and assumption quickly?

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by lunarpower » Sat Jan 26, 2013 1:04 am
duongthang wrote:I want to edit the above posting.
the problem is that in many assumption questions, there are both a strengtherner and assumption among the answer choices and it is hard to differentiate between a strengthener and assumption

do you suggest any tips to differentiate between a strengthener and assumption quickly?
an assumption is something that MUST be true -- in other words, you absolutely NEED it, or else the argument won't work. (incidentally, this is also the basis of the "negation test".)

a "strengthener", on the other hand, is anything that makes the argument's case more convincing, regardless of whether it has to be true (or is even remotely likely).

for instance, here's an argument that should be rather easy to understand:
I saw Book X for sale at Bookstore Y yesterday at its regular price of $20. today, all books at Bookstore Y are on sale for 20% off regular price. therefore, i will be able to buy Book X at Bookstore Y today for $16.

the following is an ASSUMPTION:
Bookstore Y will not have sold out of Book X before i can buy it today.
--> it should be clear that this statement is necessary. (if you want practice in using the negation method, you can try negating it and seeing what happens to the argument.)

the following is a strengthener, but certainly not an assumption:
I called Bookstore Y earlier and asked the staff to hold a copy of Book X for me.
--> this statement definitely strengthens the idea that i'll be able to buy the book (by establishing with effective certainty that it will be available for me to buy). however, it should be clear that this statement is not necessary to the integrity of the argument; i.e., if i haven't called to reserve a copy, it's certainly not impossible that i could still get one.
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by e-GMAT » Sun Jan 27, 2013 6:31 pm
duongthang wrote:I want to edit the above posting.
the problem is that in many assumption questions, there are both a strengtherner and assumption among the answer choices and it is hard to differentiate between a strengthener and assumption

do you suggest any tips to differentiate between a strengthener and assumption quickly?
Hi,

Can you quote one or two specific OG questions where both a strengthener and an assumption are among the option choices? This way I would be help you better.

Thanks :)
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by tanviet » Sun Jan 27, 2013 11:47 pm
thank you e gmat experts.
some not only one question in og 10 which is not obsolete regarding cr are assumption question in which one answer choice is asssumption and one answer choice is strengthener. this situation do exist and application of negation test is good. I just want to know how to get oa quickly. I do not remember this question. I will pm you in a near future. Thank you