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Problem Solving Butler: April 2025
April 29PS 1PS 2

__________________________________
PS 1

During a 24–hour period, the minute's arm of the clock covers how many more rotations than the hour's arm of the clock?

A. 11
B. 12
C. 22
D. 23
E. 24

__________________________________
PS 2

Working alone, machines A, B, and C can complete a task in 6, 12, and 18 hours respectively. All three machines were started together to complete the task but machine A was switched off after 2 hours and machine B was also switched off after another 1 hour. Machine C completed the remaining task. If the work was started at 1200 hrs, at what time did the work get over?

A. 1630 hrs
B. 1700 hrs
C. 1730 hrs
D. 1830 hrs
E. 1930 hrs
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Critical Reasoning Butler: April 2025
April 29CR 1CR 2

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CR 1

A controversial view at the renowned Royal Heart Medical Institute is that the departmental Medical Directors who take an active role in crafting and implementing treatment protocol are micromanaging. The champions of the view argue that, at an institute of high repute, the clinical staffers are more than capable of understanding and implementing medical best practices, and hence, the Medical Directors’ role should be that of a communicator and mediator. However, those who hold this view are missing that no clinical professional can be said to have a flawless understanding of medical best practices and that failing to recognize potential blind spots can have drastic consequences. Moreover, medical science advances so quickly that failing to study emerging best practices may lead to today’s advanced physician becoming obsolete quite soon. Clearly, this controversial viewpoint must be rethought.

In the argument above, the portions in boldface play which of the following roles?

A. The first is the argument’s primary conclusion; the second opposes that conclusion.
B. The first supports the argument’s primary conclusion; the second is a consideration put forward in support of that conclusion.
C. The first is a conclusion that the argument is in opposition to; the second is the argument’s primary conclusion.
D. The first is a consideration used to oppose the argument’s primary conclusion; the second presents evidence that supports that conclusion.
E. The first is a conclusion that the argument seeks to oppose; the second is a consideration that supports the argument’s primary conclusion.

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CR 2

Twenty years after the suburbs of Edisonville in the British Isles expanded to the edge of the Pine March Forest, none of the seven species of birds native to the Pine March Forest was still reproducing in the area closest to the suburbs. The expansion of the suburbs led to a rise in pollution that reduced the average range of nighttime luminescence from 0.998 lux (the standard unit of luminosity) to 0.5 lux. Therefore, ornithologists have theorized that the sharply increasing luminosity of the night sky must be part of what triggers the beginning of the native birds’ reproduction cycle.

Which of the following statements, if true, would most strengthen the ornithologists’ theory?

A. Nonnative bird species, introduced into the Pine March Forest after the suburbs were expanded, have begun competing for resources with the declining native bird species.
B. Before the suburbs were expanded, the Pine March Forest had many species of coniferous fir trees, the ideal nesting locations for the native bird species.
C. The lowest recorded nighttime luminosity in the Pine March Forest before the suburbs were expanded was 0.00014 lux, whereas the lowest recorded nighttime luminosity in the Pine March Forest after the suburbs were expanded has been 0.25 lux.
D. The native bird species could still reproduce in remote areas of the Pine March Forest where the average range of nighttime luminescence remains approximately 0.85 lux.
E. Six of the bird species native to the Pine March Forest are not native to any other forest in the British Isles.
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Data Sufficiency Butler: April 2025
April 29DS 1DS 2

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DS 1

A freight train traveled from North Terminal to East Terminal at a constant speed, without making any stops. At what time did the train arrive at East Terminal?

(1) The train departed North Terminal at 1:50 p.m.

(2) At 3:20 p.m., the train had completed 1/2 of the trip, and at 3:50 p.m., it had completed 2/3 of the trip.

___________________
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A publishing company allocated its entire annual operating budget among exactly five expense categories: printing, payroll, promotion, legal compliance, and software systems. Printing accounted for 35% of the budget, payroll for 25%, and promotion for 10%. Legal compliance accounted for x% of the budget, and software systems accounted for y% of the budget. What percent of the budget was allocated to legal compliance?

(1) If the company’s legal compliance budget had been 50% higher, the total budget would have increased by 5%.
(2) If the company’s payroll budget had been 80% lower, legal compliance would have accounted for 12.5% of the revised total budget.
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Problem Solving Butler: April 2025
April 30PS 1PS 2

______________________
PS 1

The function # is defined as p # q = p – q if p > q, else as p x q. What is the value of 3#(2#(4#2))) ?

A. -1
B. 0
C. 4
D. 7
E. 12
______________________
PS 2

Four boys and three girls are to be seated in a row. How many different arrangements are possible if two particular girls – Rita and Maria – must sit together and two particular boys – Sam and Tim – must not sit together?

A. 240
B. 720
C. 960
D. 1200
E. 1440
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Critical Reasoning Butler: April 2025
April 30CR 1CR 2

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CR 1

Vignola Home Repairs had the fastest roofing project completion timelines of the top 15 home repair firms in Italy, from January to April 2007. From May to September 2007, Vignola Construction had the slowest roofing project completion timelines of these 15 firms. The roofing project completion timelines of the other 14 firms relative to each other remained unchanged.

Which among the following statements, if true, would best help to explain the facts mentioned in this question?

A. Vignola Home Repairs increased its roofing project rates in May 2007 to compensate for increased material costs, and doing so bought down roofing project revenue by 12 percent.
B. Vignola Home Repairs works in regions that experience heavy rainfall during the summer, whereas the other construction firms work in regions that experience moderate rainfall.
C. In May 2007, Vignola Home Repairs replaced seven old cranes with new ones; the new cranes suffered from fewer breakdowns than the old ones.
D. In May of 2007, Vignola Home Repairs started a financial incentive program for its construction staff for projects completed on time, but the other 14 firms took no such initiative.
E. A new labor policy introduced in May 2007 caused labor unions of all constructions firms across Italy to go on strike for two weeks.
_______________________
CR 2

Minister: Over the last three years, we have spent a considerable amount of time, money, and effort to clean our major cities, which had fallen into disrepute over the matter of public hygiene. These efforts clearly demonstrate our concern for cleanliness and the environment.

Press representative: That is not entirely true. All your efforts were heavily covered by the media and have helped you generate a positive image as a pro-environment government. Certainly, this move has political benefits, and you are not truly concerned about whether the underlying work is carried out effectively.

The press representative’s conclusion would be most properly drawn if it were true that

A) the minister’s efforts regarding the cleaning campaigns were not as successful as similar efforts made by another minister in another state during the same period
B) the minister consciously used the cleaning campaign as a marketing tool in the media
C) if the money spent on marketing were spent on additional cleaning efforts, it would have been more beneficial for the cities
D) the heavily media-covered cleaning campaign did not yield significant results in actually improving the cleanliness of the cities
E) the press had covered other cleaning campaigns elsewhere, which were not marketed so heavily in the media
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Data Sufficiency Butler: April 2025
April 30DS 1DS 2

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DS 1

A neighborhood library purchased 45 paperback copies of a novel at an average price of $16 per copy. It then decided to buy 15 hardcover copies of the same novel as well. Was the average (arithmetic mean) price per copy of all 60 books less than $22?

(1) The total cost of the 15 hardcover copies bought was more than $550
(2) Each hardcover copy cost less than $40.
_______________________
DS 2

At a food fair, Nora bought 8 kilograms of nuts from each of two vendors, Green Market and Riverside Market. At Green Market, almonds cost $12 per kilogram, cashews cost $14 per kilogram, and pistachios cost $17 per kilogram. At Riverside Market, the corresponding prices were $13, $15, and $18 per kilogram. Did Nora spend more money at Riverside Market than at Green Market?

(1) The ratio of almonds to cashews to pistachios that Nora bought at Green Market was 6:1:1.

(2) The ratio of almonds to cashews to pistachios that Nora bought at Riverside Market was 1:3:4.
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Reading Comprehension Butler: April 2025
April 30RC 1
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