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Problem Solving Butler: June 2026
June 22PS 1PS 2

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PS 1

If \(\frac{2}{x} + \frac{3}{y} = 3\), then what is the value of x in terms of y?

(A) \(\frac{-2y}{3-3y}\)

(B) \(-3y\)

(C) \(\frac{2y}{3y+3}\)

(D) \(2y + 3\)

(E) \(\frac{-2y}{3}\)
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PS 2

If w(w - 1) = 42 and z(z - 1) = 42, and if w > z, what is the value of w + z ?

(A) -1

(B) 0

(C) 1

(D) 12

(E) 13
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Critical Reasoning Butler: June 2026
June 22CR 1CR 2

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CR 1

Earlier this year, our city’s three main reservoirs had unusually low water levels. As a result, city officials initiated a program that encouraged residents to reduce their water usage by 20 percent. Since the program was announced, the water level at all three reservoirs has returned to normal. Our city officials should be applauded for their role in preventing a crisis.

Which of the following, if true, casts the most doubt on the efficacy of the officials’ program?

(A) The current water level in the reservoirs is lower than it was at the same time last year.

(B) Other nearby reservoirs recovered from lower water levels this year, even though those reservoirs provide water to cities that did not enact water restriction policies.

(C) Residents reduced their water usage for lawn maintenance significantly more than they did for washing clothes.

(D) Imposing stiff penalties on residents who did not conserve water would have resulted in even higher water levels in the reservoirs.

(E) Water usage in the city dropped steadily during the first two weeks of the program before leveling off.

_____________________
CR 2

To attract new visitors, the local zoo is planning to offer new experiences. One proposal involves allowing visitors to assist in feeding the big cats, such as the lions and the tigers. However, unlike the zookeepers, visitors do not spend time interacting with the cats and becoming familiar to them. Enacting this plan would be like inviting people to enter the home of a well-armed stranger without knocking.

Which of the following statements, if true, would most strengthen the argument?

(A) Visitors have not spent as much time studying the behavior of big cats as the zookeepers have.

(B) Those who would be most interested in opportunities to assist in feeding big cats are already regular visitors and would not bring along new visitors.

(C) Burglars who are attacked by an occupant during a home invasion usually incur serious injuries requiring emergency treatment.

(D) People who visit zoos have less experience interacting with wild animals than do people who do not visit zoos.

(E) Feeding big cats requires entering their habitat, which can only be done safely after previous interaction with the animals.
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Data Sufficiency Butler: June 2026
June 22DS 1DS 2

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DS 1

At a university orientation, attendance was recorded for two optional activities: a campus tour and a study-skills workshop. Among 180 students, how many attended the campus tour but not the study-skills workshop?

(1) 126 students attended neither activity.

(2) 18 students attended the study-skills workshop.

__________________
DS 2

A meal-kit service charges $16 to deliver the first meal-kit box in an order and $2 for each additional meal-kit box in the same order. If Jordan placed an order of at least one meal-kit box, did the order include more than 30 meal-kit boxes?

(1) If the order had included 4 additional meal-kit boxes, the delivery charge would have been more than $76.
(2) The average (arithmetic mean) delivery charge per meal-kit box in the order was $2.50.
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Problem Solving Butler: June 2026
June 23PS 1PS 2

______________________
PS 1

What is the value of \(\sqrt{404^2 - 396^2}\) ?

(A) 60

(B) 80

(C) 90

(D) 120

(E) 144
______________________
PS 2

What is the least possible solution of the following equation?

2x^3 - 6x = x^2

(A) -2

(B) \(-1 \frac{1}{2}\)

(C) \(-\frac{2}{3}\)

(D) 0

(E) 2
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Critical Reasoning Butler: June 2026
June 23CR 1CR 2

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CR 1

­Paleontologists have difficulty accurately reconstructing early Cambrian ecosystems, since most animal species in the early Cambrian era lacked hardened body parts. When an animal dies, its soft parts decayed very rapidly, leaving only the harder parts, typically bones, teeth, or shell. If the animal is buried quickly enough after death, these parts can become fossilized. If an animal lacked hardened body parts, its remains only become fossilized under exceptional circumstances.

If the above is true, which of the following can be properly concluded from these statements?

A. When reconstructing an early Cambrian ecosystem, paleontologists must take into account that some animals that lived in that ecosystem may have left no trace in the fossil record.

B. There were more living species with hardened body parts than with only soft body parts in the early Cambrian era.

C. There are no traces in the fossil record of early Cambrian animals that lacked bones,teeth, or shell.

D. In an early Cambrian ecosystem containing hard-shelled trilobites and soft bodied priapullid worms, only the remains of the trilobites would be preserved in the fossil record.

E. It is impossible to reconstruct early Cambrian ecosystems accurately
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CR 2

Techniques to increase productivity in the performance of discrete tasks, by requiring less human labor in each step of the production process, are widely utilized. Consultants on productivity enhancement point out, however, that although these techniques achieve their specific goal, they are not without drawbacks. They often instill enough resentment in the workforce eventually to lead to a slowdown in the production process as a whole.

Which of the following can be reasonably inferred from the statements above?

A. Productivity enhancement techniques do not attain their intended purpose and should not be employed in the workplace.

B. The fact that productivity enhancement techniques are so widely employed has led to a decline in the ability of American businesses to compete abroad.

C. If productivity enhancement consultants continue to utilize these techniques, complete work stoppages will eventually result.

D. Ironically, an increase in the productivity of discrete tasks may result in a decrease in the productivity of the whole production process.

E. Production managers are dissatisfied with the efforts that productivity enhancement consultants have made to increase productivity.
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Data Sufficiency Butler: June 2026
June 23DS 1DS 2

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DS 1

At a theater concession stand, only snack boxes and meal boxes were sold during an afternoon event. Each snack box sold for $12, and each meal box sold for $20. Did the stand sell more snack boxes than meal boxes that afternoon?

(1) The average (arithmetic mean) selling price per box sold that afternoon was $17.
(2) The median selling price per box sold that afternoon was $20.

______________________
DS 2

A training center issued 180 course certificates last month. Some certificates were marked Advanced, and each certificate was for a course lasting either at least 6 weeks or fewer than 6 weeks. How many of the Advanced certificates were for courses lasting at least 6 weeks?

(1) 45 certificates were marked Advanced and were for courses lasting fewer than 6 weeks. These certificates represented 3/4 of all Advanced certificates.

(2) 50 certificates were not marked Advanced and were for courses lasting at least 6 weeks. These certificates represented 10/13 of all certificates for courses lasting at least 6 weeks.
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We continue posting New questions from GMAT Club Tests. Give these a try, post your solution, and earn kudos for a correct answer.

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34. https://gmatclub.com/forum/at-a-theater ... 59246.html
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This post came through our private GMAT Club WhatsApp Group.
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Some DI question types are just not well-suited for presentation in paper/pdf format, for example MSR and Graph & Table. They require the interactivity of an online interface.

Not sure if you can access as a WhatsApp member, but there is a good collection of DI questions in GMAT Club's DI sub-forums:
https://gmatclub.com/forum/data-insights-questions-177/

WA@lss7444
Does anyone have a PDF of good data insights questions like a collection of all types ?
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