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Data Sufficiency Butler: February 2025
February 24DS 1DS 2

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DS 1

10 students participated in a quiz. What was the standard deviation of their scores?

(1) The median of the students’ scores was equal to the highest score in the group.
(2) The median of the students’ scores was equal to the lowest score in the group.
_________________________
DS 2

A beverage company is contracted to supply a restaurant with 500 liters of sparkling water per week, and any additional purchase costs 1.25 times the regular rate per liter. If the company supplied the restaurant with 660 liters of sparkling water last week, how much did the restaurant pay for sparkling water last week?

(1) The restaurant paid $200 more for the purchases of sparkling water last week, than it did the previous week.
(2) The restaurant paid $200 for purchase beyond the first 500 liters.
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NEW - Reading Comprehension Butler!


Reading Comprehension Butler: February 2025
February 24RC 1
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NEW - Reading Comprehension Butler!


Reading Comprehension Butler: February 2025
February 25RC 1
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Problem Solving Butler: February 2025
February 25PS 1PS 2

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PS 1

What is the smallest positive integer, greater than 7, that leaves a remainder of 7 when divided by 9, 13, or 15 ?

A. 1177
B. 592
C. 202
D. 142
E. 124

_________________________
PS 2

In a community, 40% residents practice yoga, 50% residents go for cycling, and 60% residents go for morning walks. If 65% of the total residents engage in two or more of these three activities and the number of residents engaging in all the three activities is half the number of residents engaging in none of the three, what percentage of residents engage in none of the three activities?

A. 10
B. 15
C. 20
D. 25
E. 30
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Critical Reasoning Butler: February 2025
February 25CR 1CR 2

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In flightless birds, such as penguins and ostriches, the primary purpose of feathers is to preserve body heat. The feathers are effective in preserving body heat because birds are exothermic, meaning they produce their own heat. For this reason, evolutionary biologists insist that the recent discovery of fossils of prehistoric raptors, who had similar feathers, is evidence that at least some raptors were exothermic.

In the passage, the author develops the argument by

A) reaching a conclusion about an unknown phenomenon by drawing an analogy between it and a known phenomenon
B) providing a new interpretation of evidence once cited in support of an earlier hypothesis
C) putting together the theory that most completely explains several pieces of evidence that seem to oppose one another
D) theorizing about how the biological processes of today’s organisms may have developed from certain biological processes of their prehistoric ancestors
E) highlighting the differences between the environments of today’s flightless birds and those of prehistoric raptors

__________________________
CR 2

Sixty to sixty-five percent of cancer survivors suffered mobility limitations due to the effects of chemotherapy on their musculature. Treatments for preventing mobility limitations through the use of anabolic steroids have improved, but the proportion of cancer survivors who suffer from mobility limitations has increased.

Which of the following, if true, best reconciles the apparent discrepancy described above?

A. When cancer patients successfully complete a chemotherapy treatment, their musculature is unprepared to deal with the stress of performing normal activities.
B. Radiation therapy, a method of chemotherapy, can sometimes damage cancer patients’ musculature, but radiation can now be performed with less damage.
C. Thanks to improved medical technology, cancer patients who previously would have died, now live; however, this technology leaves them with more damaged musculatures than previous technology did, making the cancer survivors more likely to experience mobility issues.
D. The improvement of treatments aimed at preventing mobility loss due to chemotherapy has been gradual, and further investigation is still needed.
E. The mobility limitations caused by chemotherapy can be reduced by carefully controlling the application of chemotherapy drugs and providing physical therapy, but these methods cannot completely prevent the issue.
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Data Sufficiency Butler: February 2025
February 25DS 1DS 2

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DS 1

If the total price of n pounds of equally priced cotton was $360, what was the average price per pound of the cotton?

(1) Had the average price of the cotton been $1 per pound higher, the total price of n pounds would have been $240 more.
(2) Had the average price of the cotton been $1.2 per pound lower, the total price of n pounds would have been 80 percent less.

_____________________________
DS 2

The percentage of alcohol in bottle A is 30 and the percentage of alcohol in bottle B is 70. What is the ratio of volumes of the liquids in bottles A and B?

(1) When the liquids in the two bottles are mixed in a bigger container, the percentage of alcohol in the resultant liquid is 40.
(2) If one-third of the volume of the liquid from bottle A is mixed with half of the volume of the liquid from bottle B, the percentage of alcohol in the resultant solution is 43.33%.
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Problem Solving Butler: February 2025
February 26PS 1PS 2

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PS 1

In a group of 150, 70 speak English, 90 speak German, and 60 speak French. If 40 speak English and German, 30 speak French and German, 25 speak English and French, and 5 speak all the three, how many speak exactly two of the three languages?

A. 50
B. 60
C. 70
D. 80
E. 90

________________________
PS 2

What is the smallest positive integer that must be added to 1,000 so that the resultant number leaves remainders of 1, 2, and 4 when divided by 4, 5, and 7 respectively?

A. 97
B. 107
C. 117
D. 127
E. 137
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Critical Reasoning Butler: February 2025
February 26CR 1CR 2

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CR 1

Most tenants living in apartments do not stay in one location for very long, moving to a new building every few years. However, the Eyre Apartments Housing Complex is well-known for retaining its tenants. Eyre Apartments’ building manager credits this success to the close-knit, cooperative community environment that the company has fostered in its housing complex.

Which of the following, if true, most strongly supports the Eyre Apartments Housing Complex’s explanation of its success in retaining tenants?

A. Some tenants living in apartments move to a new building if they become bored with their current neighborhood.
B. The cost of living in Eyre Apartments is relatively low compared to other housing complexes nearby.
C. Many of Eyre Apartments’ oldest tenants had previously lived in only one other housing complex.
D. In a cooperative community environment, people avoid behaving in a way that might threaten group harmony and thus avoid mentioning to their fellow tenants any dissatisfaction they might have with their accommodations.
E. A non-cooperative community environment hinders the communication between the tenants and the building managers that tenants consider necessary for a comfortable living situation.
_________________________
CR 2

The Peregrine Foundation is a private, non-profit leukemia research institute. In the last ten years, the foundation has received an increased amount of donations, and the cost of conducting research has decreased. Yet, the quality of research produced by the foundation has fallen. Meanwhile, the quality of research conducted by most other leukemia-research organizations has risen. Clearly, over the past ten years, The Peregrine Foundation must have become a self-serving and wasteful organization.

Which of the following, if true, would most seriously weaken the conclusion reached in the passage?

A. Many other private, non-profit organizations involved in leukemia research provide financial relief to leukemia patients, in addition to conducting research.
B. Ten years ago, the quality of research produced by The Peregrine Foundation was better than that of other private, non-profit organizations involved in leukemia research.
C. The average salaries of scientists and medical professionals employed by The Peregrine Foundation are slightly higher than those of doctors and scientists employed by other private, non-profit organizations involved in leukemia research.
D. Over the past ten years, the percentage of the donations received by The Peregrine Foundation spent on research has risen, while the percentage spent on the management of the foundation has fallen.
E. Over the past ten years, the increase in the absolute amount of donations received by The Peregrine Foundation has averaged approximately five percent more than the local rate of inflation.
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Data Sufficiency Butler: February 2025
February 26DS 1DS 2

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DS 1

If the average (arithmetic mean) energy per device needed to run 3 wall lamps and 1 floor lamp simultaneously for 30 minutes was 35 watts-hours, how much energy was consumed by the floor lamp for that time?

(1) The wall lamp that consumed the most energy consumed 20 watts-hours more than the one that consumed the least.
(2) The average energy consumption per device for the 3 wall lamps was 40 watts-hours.
_________________________
DS 2

One school building serves as a combined grade school, middle school, and high school for a small town. The number of high schoolers who study in the building is twice the number of grade schoolers and 50 more than the number of middle schoolers. In all, how many students study in this building?

(1) The number of grade schoolers and middle schoolers in the building is 130.
(2) The probability of a randomly selected student being a high schooler are 12/25.
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NEW - Reading Comprehension Butler!

Reading Comprehension Butler: February 2025
February 26RC 1
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Problem Solving Butler: February 2025
February 27PS 1PS 2

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PS 1

The ratio of domestic and international students in class A was 1:3; the ratio of the same in class B was 2:1. When the two classes were combined, the ratio became 1:1. If class A had 180 students, how many international students did class B have?

A. 90
B. 120
C. 150
D. 180
E. 270
_________________________
PS 2

In an office, there are three types of employees - clerks, managers, and executives. The average salary of the clerks is $3,000, the average salary of the managers is $6,000, and the average salary of the executives is $10,000. If the average salary of clerks and managers is $4,000 and the average salary of clerks and executives is $5,000, what is the ratio of clerks : managers : executives in the office?

A. 5:2:1
B. 5:2:3
C. 10:4:3
D. 10:5:2
E. 10:5:4
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Critical Reasoning Butler: February 2025
February 27CR 1CR 2

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CR 1

With the help of infrared spectroscopy, Dutch researchers have determined that three of Hieronymus Bosch’s surviving panel paintings, The Wayfarer, The Haywain, and The Path of Life, are actually one painting separated into three parts. However, scholars from the Prado Museum remained unconvinced; they asserted that a chemical analysis of the pigments of the paintings does not establish any strong connection among the paintings.

Which of the following, if true, would tend most to weaken the force of the scholars’ objections?

A. There is no recorded evidence that Hieronymus Bosch painted The Wayfarer, The Haywain, and The Path of Life as a single painting.
B. Panel paintings such as the ones made by Hieronymus Bosch were often split into separate components by later collectors.
C. A chemical analysis of the type of pigments that Hieronymus Bosch used only has the capacity to detect broad similarities in the pigments’ composition.
D. Microscopic analysis of the wood panels that The Wayfarer, The Haywain, and The Path of Life are painted on has revealed no evidence that panels were ever connected.
E. It is uncertain what parts of Hieronymus Bosch’s oeuvre may have been painted by his assistants rather than by Bosch himself.
_________________________
CR 2

Last year the total amount of bonuses offered by Xio Technologies reached a historic peak, and many are wondering if that record will be surpassed this year. Now, any bonus is received either by existing employees during their annual appraisals or by new employees in the form of a joining bonus. This year, the management has not been as generous in awarding annual bonuses as it was last year. Additionally, the recruitment calendar for this year indicates that the number of new employees joining the firm will be lower this year than it was the previous year, and new recruits this year will definitely receive no higher joining bonus per employee than did those who joined last year. Hence, it can be established that the total amount of bonuses distributed this year will not outdo last year’s record.

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

A) The first is a generalization that the argument seeks to establish; the second is a conclusion drawn by the argument to support that generalization.
B) The first is a generalization that the argument seeks to establish; the second is a judgment advanced in order to challenge that generalization.
C) The first is presented as an obvious truth that the argument is based on; the second is a judgment advanced in support of the argument’s main conclusion.
D) The first is presented as an obvious truth that the argument is based on; the second is a claim advanced in support of a position opposed by the argument.
E) The first provides evidence that supports the argument’s main conclusion; the second is a claim challenged by the argument.
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