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Problem Solving Butler: January 2025
January 28PS 1PS 2

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PS 1

If \(\frac{9^{x-1}}{27^{3x+2}} = 81^{x+1}\), x = ?

A. 11/12
B. 12/11
C. 4/3
D. -11/12
E. -12/11
_________________________
PS 2

If P is a positive integer and Q = 5P + 7, which of the following CANNOT be a divisor of Q?

A. 2
B. 3
C. 5
D. 7
E. 11
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Critical Reasoning Butler: January 2025
January 28CR 1CR 2

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CR 1

The introduction of ladybugs into a garden ecosystem is an excellent method of protecting ornamental flowers from aphids. Unfortunately, the ladybugs will only prey on the aphids for a week before flying away, and no aphid infestation severe enough to warrant the deployment of ladybugs can be cleared in a single week. However, although synthetic pesticides are not much longer lasting, they can be easily reapplied whenever the aphids reappear. Clearly, therefore, for protecting ornamental flowers from aphids, introducing ladybugs can play no useful role.

The argument is most vulnerable to the objection that it fails to

A. consider that there might be less severe aphid infestations that can be cleared in a week
B. allow for the possibility of combining the two aphid-control methods it mentions
C. distinguish among the several varieties of synthetic pesticides
D. mention any alternative aphid control method that could be utilized in place of the rejected method
E. allow for the possibility that the introduction of insects other than ladybugs might have the same effect.
__________________________
CR 2

Environmentalist: Cod prices in our area need to be increased significantly. The cod population in the nearby ocean has been falling for years because cod is being fished at unsustainable levels. Due to the low price of cod, few consumers have been affected by the introduction of the hefty environmental tax on the sale of this endangered fish.

The two sections in boldface play which of the following roles in the environmentalist’s argument?

(A) The first is a conclusion that the argument provides support for, and which in turn provides support for the main conclusion; the second is the main conclusion.
(B) The first is the only conclusion; the second provides an explanation for the first.
(C) The first is an observation that the second provides an explanation for; the second is the main conclusion but not the only conclusion.
(D) The first is a premise that supports the main conclusion of the argument; so is the second.
(E) The first is the main conclusion; the second is a conclusion supported by the argument, and which in turn supports the first.
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Data Sufficiency Butler: January 2025
January 28DS 1DS 2

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DS 1

Is the median monthly salary of 15 randomly selected employees of a particular company greater than the average (arithmetic mean) monthly salary by at least 5 percent?

(1) The median monthly salary of the 15 employees is $250 greater than their average monthly salary.
(2) The sum of the monthly salaries of the 15 employees is less than $70,000.

________________________
DS 2

Jack paid $30 at a salon; this included the salon fee, taxes, and tip. How much tax did Jack pay in the transaction?

(1) Tax and Tip together contributed to 25% of the total expense.
(2) Salon fee and the tip together contributed to 90% of the total expense.
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Quote:

*Bunuel writes:*
Critical Reasoning Butler: January 2025

January 28
the-introduction-of-ladybugs-into-a-garden-ecosystem-is-an-excellent-453805.html
environmentalist-cod-prices-in-our-area-need-to-be-increased-signific-453804.html



__________________________
the-introduction-of-ladybugs-into-a-garden-ecosystem-is-an-excellent-453805.html

The introduction of ladybugs into a garden ecosystem is an excellent method of protecting ornamental flowers from aphids. Unfortunately, the ladybugs will only prey on the aphids for a week before flying away, and no aphid infestation severe enough to warrant the deployment of ladybugs can be cleared in a single week. However, although synthetic pesticides are not much longer lasting, they can be easily reapplied whenever the aphids reappear. Clearly, therefore, for protecting ornamental flowers from aphids, introducing ladybugs can play no useful role.

The argument is most vulnerable to the objection that it fails to

A. consider that there might be less severe aphid infestations that can be cleared in a week
B. allow for the possibility of combining the two aphid-control methods it mentions
C. distinguish among the several varieties of synthetic pesticides
D. mention any alternative aphid control method that could be utilized in place of the rejected method
E. allow for the possibility that the introduction of insects other than ladybugs might have the same effect.
__________________________
environmentalist-cod-prices-in-our-area-need-to-be-increased-signific-453804.html

Environmentalist: Cod prices in our area need to be increased significantly. The cod population in the nearby ocean has been falling for years because cod is being fished at unsustainable levels. Due to the low price of cod, few consumers have been affected by the introduction of the hefty environmental tax on the sale of this endangered fish .

The two sections in boldface play which of the following roles in the environmentalist’s argument?

(A) The first is a conclusion that the argument provides support for, and which in turn provides support for the main conclusion; the second is the main conclusion.
(B) The first is the only conclusion; the second provides an explanation for the first.
(C) The first is an observation that the second provides an explanation for; the second is the main conclusion but not the only conclusion.
(D) The first is a premise that supports the main conclusion of the argument; so is the second.
(E) The first is the main conclusion; the second is a conclusion supported by the argument, and which in turn supports the first.
In the second CR question, I believe that the answer should be D / E however im not too sure, any experts who can advice upon the same.
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Quote:

In the second CR question, I believe that the answer should be D / E however im not too sure, any experts who can advice upon the same.
a fellow aspirant like you, if you are referring to the question about the environmentalist talking about the cod prices
IMO the answer is D
I am open to learning and being wrong as well
I first read what the question asked, it said there are 2 boldfaces so i visualized what kind of question it might turn out to be and how i could survive it.
I went and read the passage and broke it into 3 sentences. 1st sentence was the conclusion. 2nd the premise and 3rd was the info that the author used to narrow down to the only conclusion he felt is true

My logic made me believe the answer is D
Experts and fellow aspirants people feel free to correct me if my answer is wrong and how could i have arrived at the correct logic, and if its right, let me know if there is a way i could have done it faster or maybe any drawback you see in my approach
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folks do you know where can I take free GMAT tests?
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distinctioquia
folks do you know where can I take free GMAT tests?

GMAT Club Tests have one full free test.
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Hi guys focusing on RCs as was struggling wrt attention span. Any advice would help? How many to do in a day? How much is enough? Should I club it with CRs pls help aiming for march to give exam
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Quote:

*SheMeansBusiness writes:*
Hi guys focusing on RCs as was struggling wrt attention span. Any advice would help? How many to do in a day? How much is enough? Should I club it with CRs pls help aiming for march to give exam
Do LSAT long sitting and don't give up when get distracted
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hey everyone! I was able to raise my score on Q78 to Q82 but my other sections dropped tremendously.. was wondering what the best approach would be for my third attempt at the GMAT (V86 to 83 and DI82 to 79)

Score dropped from 645 to 635

Should I be incorporating DI and Verbal into my daily regimen or should the best approach be splitting days by section?
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I only took one mock in between and got a 705

These are official scores
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Data Sufficiency Butler: January 2025
January 29DS 1DS 2

________________________
DS 1

The average selling price per sofa-set for a showroom in 2016 was $40 more than that in 2015. What was the revenue for the showroom, from the sale of sofa-sets, in 2015?

(1) The showroom sold 20% more number of sofa-sets in 2015 than in 2016.
(2) The revenue of the showroom, from the sale of sofa-sets, was $30,000 more in 2015 than in 2016.

________________________
DS 2

A university offers 3 courses in mathematics: a BS program, an MS program, and a dual degree program. The annual tuition fee for the dual degree program is 20% less than the annual tuition fees for the other 2 programs taken together. If 60% of mathematics students in the upcoming class will attend the BS program and the remaining are equally divided between the other 2 programs, which of the 3 programs will generate the most tuition fees for the university in the coming year?

(1) The annual tuition fee for the MS program is 30% higher than that of the BS program.
(2) The annual tuition fee for the BS program is $30,000.
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Critical Reasoning Butler: January 2025
January 29CR 1CR 2

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CR 1

Candidate: Today’s voters expect their government to be accountable. Virtually, every improvement in government’s accountability inspires a new round of demands for greater accountability. If a politician is satisfied with the government’s current level of accountability, that politician will soon find that the constituents are not. As your representative in parliament, meeting your demands for accountability will be my goal!

Which of the following must be true on the basis of the statements above?

A. The candidate’s competitors will succeed in attracting voters only if those competitors adopt the candidate’s goals as their own.
B. The candidate’s goal is possible to meet, only if it is possible to continue the current advances in government accountability.
C. A politician who fails to accurately anticipate the demands of the constituents is certain to fail in advancing government accountability.
D. If a politician becomes satisfied with the accountability that the government displays, the government accountability will decline.
E. The candidate’s constituents are currently satisfied with the accountability displayed by the government.
___________________________
CR 2

The World Energy Council maintains ranking of nations, detailing which country’s citizens are the most and least energy conscious by measuring the amount of electricity consumed per every 100 citizens.

Of the following, each statement, if true, would serve as a logical objection to using the council’s ranking as a representation of the energy consciousness of citizens in each nation EXCEPT:

A. The refrigeration of food consumes significantly less electricity in countries with a temperate or arctic climate than it does in countries with a tropical climate.
B. Some countries have hundreds of millions of citizens and some barely have a few millions.
C. The average citizen in developed nations can afford to purchase more energy-efficient technology than can citizens of less developed nations.
D. Due to low electricity production, many developing countries regularly shut down residential electrical supply for as long as a few hours every day for several months in a year.
E. The power grids of some countries are in poor shape and thus waste more electricity than do power grids of other countries.
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Problem Solving Butler: January 2025
January 29PS 1PS 2

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PS 1

If a, b, c, d, e, and f represent different prime numbers each, which of the following may represent the value of 16! ?

A. a^15 x b^6 x c^3 x d^2 x e^2 x f
B. a^15 x b^5 x c^3 x d^2 x e x f^2
C. a^15 x b^6 x c^3 x d^2 x e x f
D. a^8 x b^5 x c^3 x d^2 x e x f
E. a^8 x b^5 x c^2 x d^2 x e x f
_________________________
PS 2

p, m, and n are positive integers greater than 1 such that p = m x n and m and n do not have any common prime factors. If p has 25 factors, m has r factors, and n has s factors, what is the value of (r + s)?

A. 4
B. 8
C. 10
D. 16
E. 25
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goonjoon
hey everyone! I was able to raise my score on Q78 to Q82 but my other sections dropped tremendously.. was wondering what the best approach would be for my third attempt at the GMAT (V86 to 83 and DI82 to 79)

Score dropped from 645 to 635

Should I be incorporating DI and Verbal into my daily regimen or should the best approach be splitting days by section?
Hi goonjoon,

All the scores you've mentioned (645, 635, and 705 on an official mock) are very good scores. And if the questions you saw on that 705 attempt were fresh, you should be able to get a similar score on the real thing.

As for whether you should do verbal and DI every day, go with whatever you're comfortable with. You should be fine as long as you're not working on only one section for more than a few days without switching. Just keep in mind that your V86 may very well mean that verbal is currently your strongest section, and there's room for improvement in quant as well.
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