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Critical Reasoning Butler: March 2025
March 31CR 1CR 2

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CR 1

International collaboration is highly beneficial for businesses. This opinion was asserted by several leaders in the business community while defending their decision to hire foreign consulting firms over domestic ones. “Soliciting the advice of professionals from different geographies has produced new ideas in strategy, operations, and customer service," the leaders said.

The business leaders’ argument as it is presented in the passage above would be most strengthened if which of the following were true?

A. The number of foreign consulting firms hired by domestic businesses has increased more slowly than many foreign business associations would prefer.
B. Due to recent improvements in management practices, many businesses have realized enormous gains in operational efficiency.
C. Customer service standards have been rising in all businesses operated domestically.
D. The biggest growth in domestic businesses has come from companies that market the most innovative products and services.
E. The businesses that worked the most with foreign consulting firms are those that have seen the most innovation and made the most profit.
_______________________
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Educationist: Many scholars believe that the schools are solely responsible for the decline in reading skills seen in children over the last few decades. However, it is clear that lifestyle changes and shifts in familial behavior have also had a major part to play. In the last two decades, the average time parents spend with children at home has seen a drastic decline, and interviews with hundreds of families showed that a large proportion of this time is spent in non-educational activities such as playing mobile phone games.

In the argument, the portion in boldface plays which of the following roles?

(A) It is the argument’s main conclusion.
(B) It is a finding that the argument tries to explain.
(C) It introduces a judgment opposed by the argument.
(D) It is an explanation that the argument concludes to be accurate.
(E) It provides evidence that supports the argument’s main conclusion.
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Data Sufficiency Butler: March 2025
March 31DS 1DS 2

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DS 1

A campus bookstore bought 60 notebooks for a total of 540 euros. All of the notebooks were sold during a three-week orientation period. The notebooks were sold for 14 euros each in week 1, 11 euros each in week 2, and 8 euros each in week 3. Was the number of notebooks sold in week 1 greater than the number sold in week 3?

(1) Fewer than 20 notebooks were sold in week 2.
(2) The bookstore’s total profit on the notebooks was less than 120 euros.

_______________________
DS 2

At a community arts center with 240 members, every member attended at least one of two programs: studio classes or outdoor workshops. If 25 percent of the members who attended studio classes also attended outdoor workshops, did more than 50 percent of the members attend studio classes?

(1) Fewer than 60 percent of the members attended outdoor workshops.

(2) More than 90 members attended only studio classes.
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Quote:

*xhaxs writes:*
Hi very one I have a question for this CR question: (1) The number of accidents at a particular intersection has increased over the past year.
(2) Some officials argue that the increase is due to poor road design.
(3) However, traffic volume at the intersection has also increased significantly during this period.
(4) Increased traffic volume is known to lead to more accidents.
(5) Therefore, the rise in accidents is more likely due to increased traffic than to poor road design. ; would 2 be labelled as Counter premise or would it be labeled as Background information? because a counter premise is something that author concedes/admits or it just needs to oppose the author’s conclusion; by my understanding author must conceded/admit it then its a counter premise; but here it is not conceding therefore should not be counter premise but a BG. Can someone confirm?
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Hi,
I don’t think counter premise is something that author has to agree later on, not always.
So as you mentioned it could just be opposing author’s point.

2 is more of a opposing view or claim rather than just background information.
Note that road having poor design is a fact, but the officials claiming that that is the reason for increase in accidents is a claim/pov.

P.S. 1 is background information. 3 and 4 are supporting premises for conclusion which is 5.

Let me know if this makes sense. :)
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gchandana
Hi,
I don’t think counter premise is something that author has to agree later on, not always.
So as you mentioned it could just be opposing author’s point.

2 is more of a opposing view or claim rather than just background information.
Note that road having poor design is a fact, but the officials claiming that that is the reason for increase in accidents is a claim/pov.

P.S. 1 is background information. 3 and 4 are supporting premises for conclusion which is 5.

Let me know if this makes sense. :)
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why is 1 Background information. Background information is something that author does not engages with or is not something that is used as a part of reasoning, but here, this explains the problem statement, its used to address the conclusion, so it must be a premise
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Quote:

*xhaxs writes:*
> Hi,
> I don’t think counter premise is something that author has to agree later on, not always.
> So as you mentioned it could just be opposing author’s point.
> 2 is more of a opposing view or claim rather than just background information.
> Note that road having poor design is a fact, but the officials claiming that that is the reason for increase in accidents is a claim/pov.
> P.S. 1 is background information. 3 and 4 are supporting premises for conclusion which is 5.
> Let me know if this makes se
why is 1 Background information. Background information is something that author does not engages with or is not something that is used as a part of reasoning, but here, this explains the problem statement, its used to address the conclusion, so it must be a premise, a premise is a fact.
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Hey my bad
1 is premise, you are correct
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Quote:

*xhaxs writes:*
> Hi,
> I don’t think counter premise is something that author has to agree later on, not always.
> So as you mentioned it could just be opposing author’s point.
> 2 is more of a opposing view or claim rather than just background information.
> Note that road having poor design is a fact, but the officials claiming that that is the reason for increase in accidents is a claim/pov.
> P.S. 1 is background information. 3 and 4 are supporting premises for conclusion which is 5.
> Let me know if this makes se
why is 1 Background information. Background information is something that author does not engages with or is not something that is used as a part of reasoning, but here, this explains the problem statement, its used to address the conclusion, so it must be a premise, a premise is a fact.
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Also
A premise not necessarily and always a fact!
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March 31st Verbal Question of the Day



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Problem Solving Butler: April 2025
April 1PS 1PS 2

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A set of 7 different integers has a median of 9, range of 10, and average of 9. What is the lowest possible value of the smallest integer in the set?

A. 6
B. 5
C. 4
D. 3
E. 2
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Which of the following can never be correct?

I: \(x < x^2 < 1-x\)

II: \(x < x^2 < \frac{1}{x}\)

III: \(x < \frac{1}{x} < x^2\)

IV: \(x < \frac{1}{x} < x^2 < x^3\)

A. II only
B. II and III only
C. II and IV only
D. I, II, and IV only
E. I, II, III, and IV only
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Critical Reasoning Butler: April 2025
April 1CR 1CR 2

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Charities will soon start scrutinizing major donors for any signs of financial wrongdoing. Even though the screening processes are estimated to disqualify up to ten percent of all prospective donors, they will still fail to identify one-third of all donors who have committed financial maleficence. Therefore, about five percent of actual donors will still provide unethically sourced money.

Which of the following inferences about the consequences of instituting the new screening processes is best supported by the passage above?

A. Incidences of financial wrongdoing are likely to rise by five percent.
B. The amount of money available to charities is likely to decrease.
C. The funding for social initiatives by charities is likely to fluctuate across a wider range.
D. Donations made solely for the benefit of the donor are likely to become rarer.
E. Potential first-time donors are likely to increase in number by ten percent.
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A recent law ruled that all aviation companies have the right to refuse service to an individual if allowing the individual to fly would entail an eighty percent chance that he or she would suffer respiratory issues. The lawmakers justified the law, saying that the law protected both the aviation companies and their passengers.

The effectiveness of the law in regulating the behavior of aviation companies could be most questioned if which of the following were true?

A. The best interests of aviation companies often conflict with the best interests of their passengers.
B. An aviation company might lose passengers if the company, by screening passengers for risk of respiratory issues, seemed to suggest that taking its flights entailed a high risk of respiratory issues.
C. Flying might involve health risks other than the risk of respiratory issues.
D. Passengers who have an eighty percent chance of suffering from respiratory issues may not know that their risk is so great.
E. There is no legally accepted method for reliably determining the risk of a passenger suffering respiratory issues as a result of flying.
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Data Sufficiency Butler: April 2025
April 1DS 1DS 2

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At a lakeside park, two cyclists, Maya and Tessa, started riding at the same time from the entrance toward the marina along the same straight path, each at a constant speed. Tessa rode faster than Maya, reached the marina, turned around immediately, and began riding back toward the entrance before meeting Maya on the path. What was the distance from the entrance to the marina?

(1) When they met, Maya had covered 3/5 of the distance from the entrance to the marina.

(2) When they met, Tessa had covered 2,100 meters.

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Two buses, R and S, each traveling at a constant speed, departed from the depot at the same time and traveled along the same route toward Central Square station. Bus R traveled faster than Bus S, reached Central Square station, turned around immediately, and began traveling back toward the depot before meeting Bus S along the route. What was the distance between the depot and Central Square station?

(1) When the two buses met, Bus S was 250 kilometers from Central Square station.
(2) Bus R traveled 3 times as fast as Bus S.
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Problem Solving Butler: April 2025
April 2PS 1PS 2

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PS 1

If a^3 > b^2 > c, which of the following may be true?

I. a > b > c
II. c > b > a
III. a > c > b

A. I only
B. II only
C. I and II only
D. I and III only
E. I, II, and III
_____________________
PS 2

The average weight of students in a class of 20 was 80 pounds. Five new students joined and the weight increased to 84 pounds. If weights of the five new students are in integers, weight of no two students is same, and the lightest new student weighs 84 pounds, what is the highest possible weight of the heaviest new student?

A. 100
B. 116
C. 158
D. 164
E. 172
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Critical Reasoning Butler: April 2025
April 2CR 1CR 2

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CR 1

High marginal tax rates do not lead to a large middle class; if this was the case, the nations with the highest marginal tax rates would also have the largest middle classes. The reality is that if marginal tax rates are adjusted to allow different countries to be reliably compared to one other, no such correlation is found.

If the statements above are all true, which of the following can properly be inferred on the basis of them?

A. Increasing a country’s marginal tax rates will not necessarily result in the growth of its middle class.
B. Reliably comparing the marginal tax rates of one country with another’s is not possible.
C. Nations with high marginal tax rates tend to restrict the growth of the upper class.
D. When countries are arranged in descending order by population, the least-populous countries generally have the lowest marginal tax rates and the smallest middle classes.
E. Nations with the highest marginal tax rates never have proportionally small middle classes.
_____________________
CR 2

Executive: My only opponent for the post of CEO has a corporate restructuring plan that goes against the goals of many on the board of directors. Nonetheless, some of these same members support him for the position due to his push for greater vertical integration. In order to win these members’ votes, I must prove to the members that my opponent does not align with their goals with regard to corporate restructuring.

Which of the following would, if true, most strongly suggest that the executive’s plan is unlikely to succeed?

A. On some topics, the executive and his opponent are in strong agreement.
B. Most of the members of the board of directors who support the executive care very much about vertical integration, but do not know much about corporate restructuring.
C. Sometimes, long-term corporate restructuring goals come into conflict with short-term corporate restructuring goals.
D. Many of the members of the board of directors who support the executive’s opponent for his push for greater vertical integration also support his corporate restructuring plan and are fully aware of its implication.
E. Some members of the board of directors are concerned about both the corporate restructuring plan and vertical integration.
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Data Sufficiency Butler: April 2025
April 2DS 1DS 2

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DS 1

A museum curator will select 4 paintings from a collection to feature in a special exhibition. How many paintings are in the collection?

(1) The probability that two paintings from the collection, Sunrise Harbor and Winter Field, will both be selected is 2/15.
(2) The number of different 4-painting groups that could be selected is 210.
___________________
DS 2

A pipeline inspection team was assigned to inspect a newly laid pipeline. According to the inspection plan, all of the first 60 kilometers of the pipeline were inspected, 2/3 of the next 150 kilometers were inspected, and no part of the pipeline beyond the first 210 kilometers was inspected. How long was the pipeline?

(1) A total of 160 kilometers of the pipeline was inspected.
(2) The length of the pipeline that was inspected was at least 16/21 of the total length of the pipeline.
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