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Bunuel
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Hello, I just wanted to know is the GC’s scoring now less or same harsh as before the enhanced edition? Thank you.
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Quote:

*Bunuel writes:*
Problem Solving Butler: May 2025

May 15
what-is-the-sum-of-the-multiples-of-4-from-60-to-100-both-inclusive-457678.html
in-how-many-ways-can-10-identical-chocolates-be-distributed-among-457677.html



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what-is-the-sum-of-the-multiples-of-4-from-60-to-100-both-inclusive-457678.html

What is the sum of the multiples of 4 from 60 to 100, both inclusive?

A. 240
B. 800
C. 860
D. 880
E. 960
___________________
in-how-many-ways-can-10-identical-chocolates-be-distributed-among-457677.html

In how many ways can 10 identical chocolates be distributed among three children such that each child gets at least one chocolate?

A. 36
B. 66
C. 72
D. 78
E. 84
4*(11*15+ sum of 1 to 10)
= 880
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Quote:

*jeffn sends image:*
Feedstock = F = cd (c = no of chickens, d = no of days). This is constant in all three scenarios
So, (c-75) into (d+20) = (c+100) into (d-15)
=> cd+20c - 75d-1500 = -15c+100d - 1500+cd
=> c= 5d

Now, from cd = (c-75) into (d+20),
20c - 75d-1500 = 0
=> 25d = 1500 => c = 5 into 60 = 300
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Problem Solving Butler: June 2025
June 8PS 1PS 2

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PS 1

The sequence \(x_1, x _ 2, ..., x _n\) is such that \(x_1 = 5\), \(x_2 = –5\), \(x_3 = 0\), \(x_4 = –2\), \(_x5 = 4\) and \(x_n = x_{n-5}\). If the sum of the first P terms as well as the sum of the first P–3 terms in the sequence is 18, P = ?

A. 39
B. 42
C. 45
D. 48
E. 51

_____________________
PS 2

Lily has a rubber ring. She makes a red mark on the ring and from that red mark, she puts a mark after every 72 degrees angle from the center of the ring. Then, she starts from the original red mark and puts a mark after every 45 degrees from the center of the ring. She now removes one piece each of every unique size as per the marks. Approximately, what fraction of the original ring does she remove?

A. 23%
B. 38%
C. 48%
D. 53%
E. 72%
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Critical Reasoning Butler: June 2026
June 8CR 1CR 2

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CR 1

­Dean: Anything that hinders the students hinders the University. Anything that hinders the University hinders the students. Therefore, the Senator's proposal, which includes a provision to restrict the employment of new professors, hinders the students.

The above argument depends logically on which of the following assumptions?

A) The Senator's proposal was designed to hinder the University.
B) Most professors at the University support the Senator's proposal.
C) The University will be unable to continue operation if the Senator's proposal is approved.
D) Educational institutions that are not universities also object to the Senator's proposal.
E) Restricting the employment of new professors would hinder the University.
___________________
CR 2

Every student at Overland High School receives guidance counseling from either Ms. Hanner or Mr. Land. A review of college admissions data for students graduating from Overland during the last five years shows that, on average, Ms. Hanner was the guidance counselor for fifty-five percent of the students who applied to four-year colleges and forty percent of the students who were accepted at four-year colleges. These figures were quite consistent from year to year over the last five years.

Which of the following can be logically inferred about the past five years from the statements above?

(A) The total number of students graduating from Overland each year has remained roughly constant.

(B) Mr. Land has been assigned the majority of students with poor study skills.

(C) The percentage of applicants who are accepted to four-year colleges is higher among students guided by Mr. Land than it is among students guided by Ms. Hanner.

(D) The career goals of the students under the guidance of Ms. Hanner and Mr. Land have remained largely unchanged.

(E) The overall grade point average of students under Mr. Land's guidance has been higher than the average of students under Ms. Hanner's guidance.
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Data Sufficiency Butler: June 2026
June 8DS 1DS 2

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At a professional conference, two optional events were offered: a product demo and a networking breakfast. If 70% of the attendees registered for the product demo and 25% of the attendees registered for both events, how many attendees registered for neither event?

(1) 30 attendees registered for the networking breakfast but not for the product demo.

(2) 150 attendees did not register for the networking breakfast.

_________________
DS 2

A school equipment closet contains only red, blue, and gray practice jerseys, with different numbers of jerseys of each color. If the closet contains 90 jerseys in total, with at least 20 jerseys of each color, are there more red jerseys than blue jerseys?

(1) The number of red jerseys is 2/7 of the total number of blue and gray jerseys.

(2) The total number of red and blue jerseys is equal to the number of gray jerseys.
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Problem Solving Butler: June 2025
June 9PS 1PS 2

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PS 1

Letters of the word “POLITICS” are shuffled to form all possible distinct combinations. In how many cases do the letters P, O, and L come together?

A. 240
B. 720
C. 2160
D. 4320
E. 8640
________________________
PS 2

A group of five boys and six girls is to be seated in a row. How many such arrangements are possible wherein no two boys sit together?

A. 6! x 5!
B. 6! x 5! x 2
C. 6! x 6!
D. 6! x 5! x 21
E. 7! x 6!
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Critical Reasoning Butler: June 2026
June 9CR 1CR 2

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­The average age of residents in Sunset City is well over 70 years of age, and the populace is composed almost entirely of retirees, with extremely few families having young children. However, Sunset City is also known for its many boutiques that specialize in selling clothing for infants and toddlers.

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

A. The children's clothing boutiques in Sunset City purchase their clothing from wholesalers in Sunrise City, where there are many more families with small children.

B. The few children who do live in Sunset City do not have particularly large wardrobes.

C. The residents of Sunset City are known to spend more on health care than do residents of nearby cities.

D. The residents of Sunset City are generally wealthy and are known to spend large amounts of money buying gifts for their grandchildren and great-grandchildren who live in other cities.

E. Sunset City is not located on a major highway.

_____________________
CR 2

Tougher international restrictions on importing pandas to zoos in the United States are not to blame for the recent shortage of pandas on display in U.S. zoos. In fact, the real reason fewer zoos today have fewer pandas on display than 10 years ago is that the reproduction rates of pandas have decreased by 40% and the cost of upkeep of pandas has increased by 30% over the same time period.

Which of the following statements, if true, would most effectively strengthen the conclusion presented above?

A) Over the past 10 years, no pandas have been imported to the United States.
B) Since there are fewer pandas in the world today than 10 years ago, zookeepers have found it difficult to secure pandas for their zoos, especially since the cost to secure and support the panda is twice that of any other animal.
C) The recent drought in China and southeastern Asia has severely decreased the bamboo shoots available for pandas to eat throughout the world.
D) A recent study has concluded that the animal people look forward to seeing the most at zoos is the koala bear.
E) An increase in the number of zoos throughout the United States has increased the demand for pandas by medium-sized and small zoos.
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Data Sufficiency Butler: June 2026
June 9DS 1DS 2

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DS 1

At a bookstore promotion, each of five customers won a chance to receive a discount. For each customer, five sealed envelopes were prepared. The five envelopes prepared for any customer contained the discounts $10, $20, $30, $40, and $60, one discount per envelope. If each customer selected one of the five envelopes prepared for that customer, did any customer receive the $60 discount?

(1) The sum of the discounts received by the five customers was $150.
(2) No two customers received the same discount.


____________________________
DS 2

A warehouse uses Metro Courier to ship parcels. Metro Courier charges $12 per parcel for the first 12 parcels shipped in a day and $8 for each parcel after the first 12. If the warehouse used only Metro Courier on Tuesday, did the warehouse ship more than 40 parcels on Tuesday?

(1) If the warehouse had shipped 3 additional parcels on Tuesday, its shipping cost for that day would have been at least $400.
(2) The warehouse’s average (arithmetic mean) shipping cost per parcel on Tuesday was $9.
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