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Problem Solving Butler: April 2025
April 10PS 1PS 2

_______________________
PS 1

If abc < 0 and bcd > 0, which of the following is definitely negative ?

A. \(a^2b^3c^3d\)

B. \(a^2b^4c^4d^2\)

C. \(a^3b^4c^5d\)

D. \(a^3b^4c^4d\)

E. \(a^3b^5c^4d^2\)

_______________________
PS 2

If |3 – x| < x + 5, which of the following may be true about x ?

I. x > –1
II. x < 2
III. x < –2

A. I only
B. II only
C. I and II only
D. I and III only
E. I, II, and III
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Critical Reasoning Butler: April 2025
April 10CR 1CR 2

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CR 1

Those who suffer from dissociative identity disorder are said to develop multiple personalities, called alters, so distinct from their own that some may even complain of imagined ailments. However, when supposedly blind alters are asked in writing whether they can see, they respond, “No.” Some psychiatrists attempt to explain this result by suggesting that blind alters are one part of a disassociated psyche, and it is actually another part of the psyche that responds to the question.

Which of the following challenges indicates the most serious weakness in the attempted explanation described above?

A. Why do all the supposedly blind alters respond identically in the situation described?
B. Why must the observed fact be provided a special explanation?
C. Why do the supposedly blind alters develop the delusion that they cannot see?
D. Why does the part of the psyche that answers not reply, "Yes"?
E. Why are the separate parts of the psyche the same for all subjects?
_________________________
CR 2

As per the out-of-Africa theory, the earliest homo sapiens to leave Africa crossed the Red Sea and spread along the coast of Asia, making their first major settlement in the Deccan (India, Asia) roughly 45,000 years ago. However, the discovery of 46,000 to 49,000 years old homo sapiens settlement in the Bacho Kiro caves (Bulgaria, Europe) suggests that the earliest homo sapiens to leave Africa actually spread towards Europe, migrating along either the Danube river or the Mediterranean coast.

Which of the following, if it were discovered, would be relevant evidence against the conjecture above?

A. The oldest positively identified homo sapiens fossil is dated to be 58,000 years old.
B. 6,000 years ago, the depth of the Red Sea, between Africa and Asia, was considerably lower, due to glaciation.
C. The climate at the Bacho Kiro site is more temperate than that at the oldest known Deccan site.
D. The site in Bulgaria where the fossils dated to be 46,000 to 49,000 years old has been continuously occupied since the time.
E. Some Asian sites of homo sapiens migration predate any sites found in Europe.
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Data Sufficiency Butler: April 2025
April 10DS 1DS 2

_______________________
DS 1

Last season, a football team scored 35 more goals than it conceded. Was the difference between the number of goals the team scored and the number of goals it conceded greater this season than it was last season?

(1) This season, the team scored 10% more goals than it scored last season.
(2) This season, the team conceded 20% more goals than it conceded last season.
_______________________
DS 2

A local arts center hosted a weekend illustration workshop. A community college club reserved spots for its members and paid a one-time reservation fee. If each registration cost $24.50, did the club purchase fewer than 14 registrations?

(1) The club’s total payment, including the one-time reservation fee, was $342.
(2) The one-time reservation fee was $18.
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Problem Solving Butler: April 2025
April 13PS 1PS 2

_______________________
PS 1

If √a > b^2 > c^3, 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

If for numbers a, b, and c, a/(bc) is positive, which of the following must be true?

I. abc > 0
II. a > 0
III. bc > 0

A. I only
B. II only
C. I and II only
D. I and III only
E. I, II, and III
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Critical Reasoning Butler: April 2025
April 13CR 1CR 2

_______________________
CR 1

In the previous year, a leading car manufacturer filed a record number of new patents. Industry stalwarts are wondering if this year will bring another record. Well, a new patent is filed either for improvements in the existing car models or for the new car models that are being designed. In the case of current car models, new patents have been filed this year at well below the previous year’s record. Further, there is also a significant indication that the number of new models designed by the car manufacturer will be no greater this year than it was the previous year, and there is no indication that the new models being designed this year will require more patents per model than did previous year’s new models. Clearly, the number of new patents filed this year will not exceed last year’s record.

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

A. The first is presented as an obvious truth that the argument is based on; the second is a conclusion drawn to support the argument’s main conclusion.
B. The first is presented as an obvious truth that the argument is based on; the second is the argument’s main conclusion.
C. The first and the second each provide evidence that supports the argument’s main conclusion.
D. The first is a generalization that the argument seeks to establish; the second is the argument’s main conclusion.
E. The first is a generalization that the argument seeks to establish; the second is a conclusion the argument draws to challenge that generalization.
_______________________
CR 2

Despite a prominent report warning that the current demand for meat is ecologically unsustainable, few consumers planned to reduce their meat intake as a result of the report. Nevertheless, meat product sales in grocery stores fell sharply in June, one month after the report became public.

Which of the following, if true, best explains the reason for the apparent discrepancy described above?

A. The report did not bring up the ecological impact of other food products, although fruit orchards are also known to cause significant ecological damage.
B. Because ecological warnings have been growing increasingly numerous, consumers in June were indifferent to such warnings.
C. The report was publicized through print media and spread widely over the internet.
D. In June, many grocery stores reduced the number of meat products that they stock in order to show their concern regarding the environment.
E. Environmental officials did not believe that the demand for meat posed a threat to the ecology, as only the production of certain types of meat causes significant ecological damage.
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Data Sufficiency Butler: April 2025
April 13DS 1DS 2

____________________
DS 1

Elena, Marco, and Sofia each had one folder to copy to an external drive that was nearly full. From the sizes of the three folders, they knew that before any space was cleared, Sofia’s folder and exactly one of the other two folders could be copied to the drive, while the remaining folder would have to wait. Which folder could be copied along with Sofia’s folder before any space was cleared?

(1) Marco’s folder was smaller than Elena’s folder.
(2) After Sofia’s folder was copied, the remaining free space would be less than the size of Elena’s folder.
____________________
DS 2

Cedar Court and Maple Court have the same number of apartments. Was the average (arithmetic mean) monthly electricity usage per apartment in Cedar Court greater than the average (arithmetic mean) monthly electricity usage per apartment in Maple Court?

(1) The median monthly electricity usage per apartment in Cedar Court was greater than the median monthly electricity usage per apartment in Maple Court.
(2) The range of the monthly electricity usage per apartment in Cedar Court was the same as the range of the monthly electricity usage per apartment in Maple Court.
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Problem Solving Butler: April 2025
April 14PS 1PS 2
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Problem Solving Butler: April 2025
April 14PS 1PS 2

___________________________
PS 1

If |3 – x| < x + 5, which of the following may be true about x?

I. x < 0
II. x < –1
III. x > 2

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

If 3x^2 > 2x, which of the following specifies all the possible values of x ?

A. x < 0
B. x > 2/3
C. x > 3/2
D. 0 < x < 2/3
E. x < 0 or x > 2/3
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