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Critical Reasoning Butler: August 2026
August 28CR 1CR 2

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CR 1

A telephone poll conducted in two states asked respondents whether their homes were cold during the winter months. Ninety-nine percent of respondents said their houses were always warm during the winter. The pollsters published their findings, concluding that ninety-nine percent of all homes in the United States have adequate heating.

Which of the following most accurately describes a questionable technique employed by the pollsters in drawing their conclusion?

A. The poll wrongly ascribes the underlying causes of the problem.

B. The poll assumes conditions in the two states are representative of the entire country.

C. The pollsters conducted the poll by telephone, thereby relying on the veracity of respondents.

D. The pollsters didn’t visit respondents’ houses in person, so no measure of the temperature in a subject’s home was actually made.

E. The pollsters never defined the term “cold” in terms of a specific temperature.

__________________________
CR 2

­In 2008, the world’s airlines reported an increase in the total number of passengers carried, but a decrease in total revenues, even though prices for airline tickets on all routes remained unchanged from the year before.

Which of the following resolves the paradox described above?

A. The airline industry was a victim of the recession in 2008.

B. Total passenger miles were up in 2008.

C. Fuel costs remained constant from 2007 to 2008.

D. Passengers traveled shorter distances on less expensive flights in 2008.

E. No new aircraft were purchased by any carrier in 2008.
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Data Sufficiency Butler: August 2026
August 28DS 1DS 2

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DS 1

Congressman M wants to schedule a committee vote at a time when Congressmen P and Q will not be present. If votes can only be scheduled in the morning or afternoon, Monday through Friday, is there a time during the week when Congressman M is available for a vote and the other 2 congressmen are not?

(1) Congressman M is available every afternoon, but only in the morning on Mondays.

(2) Congressman P is available all day on Tuesday, Wednesday, and Friday, and in the morning on Thursday, while Congressman Q is available all day Monday and Wednesday and in the afternoon on Tuesday and Friday.

_______________________
DS 2

­Franklin’s wage increased by what percent?

(1) Franklin’s wage after the increase was $45,000.

(2) Franklin’s wage increased by $2,000.
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Problem Solving Butler: August 2026
August 28PS 1PS 2

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PS 1

Which of the following is equal to \((\sqrt{16+4√15}+\sqrt{16-4√15})^2\)

A. 10
B. 12
C. 24
D. 36
E. 40

_________________________
PS 2

A alone completes a job in x days, and B alone completes it in y days. When they work together, they finish 3/20 of the job per day. If A and B worked together for 5 days and A needed to work independently for the additional 3 days to complete the job, what is the value of x + y?

A. 20
B. 21
C. 25
D. 27
E. 29
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Critical Reasoning Butler: August 2026
August 31CR 1CR 2

___________________________
CR 1

Many corporations are resistant to environmental regulations because they feel that implementing the technology necessary to follow the regulations will result in increased costs and decreased profits. However, many of the new technologies developed to protect the environment result in increased efficiency and a substantial saving on energy costs that will outweigh any initial costs associated with installing the new technologies.

The argument as a whole is structured to lead to which of the following conclusions?

A. There is little economic justification for a corporation to resist implementing the technology necessary to uphold environmental regulations.

B. The economic costs of following environmental regulations are minor because the regulations are rarely enforced.

C. New technologies are more environmentally friendly than the older technologies used by most corporations.

D. Corporations that fail to follow environmental regulations will face fines and other sanctions.

E. There is no disadvantage to installing new technology in order to follow environmental regulations.

___________________________
CR 2

­Most people believe that gold and platinum are the most valuable commodities. To the true entrepreneur, however, gold and platinum are less valuable than the knowledge of opportunities is. Thus, in the world of high finance, information is the most valuable commodity.

The author of the passage above makes which of the following assumptions?

A. Gold and platinum are not the most valuable commodities.

B. Entrepreneurs are not like most people.

C. The value of information is incalculably high.

D. Information about business opportunities is accurate and leads to increased wealth.

E. Only entrepreneurs feel that information is the most valuable commodity.
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Data Sufficiency Butler: August 2026
August 31DS 1DS 2

_______________________
DS 1

­What is the probability that a person selected randomly from a group of people is a woman in pink attire?

(1) Of the women in the group, 4% are wearing pink attire.

(2) Of the people in the group, 40% are women.

_______________________
DS 2

­A cyclist travels 20 miles at a speed of 15 miles per hour. If he returns along the same path, at what speed did he return?

(1) The cyclist took 2 hrs for the entire trip.

(2) The average speed for the round trip is 20 miles per hour.
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Problem Solving Butler: August 2026
August 31PS 1PS 2

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PS 1

Machine A can complete a job in 12 hours, and Machine B can do the same job at 1/5 of the rate of Machine A. If Machine A completes 3/4 of the job and then Machine B finishes the remaining portion, what is the total amount of time taken by Machine A and Machine B?

(A) 18 hours
(B) 20 hours
(C) 24 hours
(D) 28 hours
(E) 30 hours
_________________________
PS 2

In a theater, the first row has 16 seats and each row after has 2 more seats than the one before. If the last row has 64 seats, how many seats are there altogether?

A. 640
B. 720
C. 1,000
D. 1,200
E. 1,240
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