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Problem Solving Butler: August 2026
August 25PS 1PS 2

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PS 1

When the positive integer n is divided by 8, the remainder is 3, and when n is divided by 5, the remainder is 2. What is the remainder when the smallest possible value of n is divided by 6?

A. 0
B. 1
C. 2
D. 3
E. 4

_______________________
PS 2

\(A=\{2, 4, 6, 8, 10\}\)

How many subsets of the set A shown above include both 4 and 6 but not 10?

A. 4
B. 6
C. 8
D. 9
E. 11
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Critical Reasoning Butler: August 2026
August 25CR 1CR 2

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CR 1

­Sarrin monks practice the Pran meditation technique only when extremely damaging weather conditions confront the farming villages surrounding Sarrin monasteries. Pran meditation is a more highly disciplined form of the ritual meditation that the monks practice daily, and involves unique practices such as isolation and fasting.

Which of the statements below does NOT follow logically from the passage above?

(A) Some meditation practices are less disciplined than Pran meditation.

(B) Pran meditation among Sarrin monks does not take place according to a precisely regulated schedule.

(C) The ritual meditation that a typical Sarrin monk practices daily does not take place in an atmosphere of isolation.

(D) Monks practice some types of meditation in response to threats faced by the local population.

(E) The ritual meditation that Sarrin monks practice daily is largely undisciplined.
__________________________
CR 2

­Studies of voting patterns in the town of Glen Isle have shown that the single most effective way for politicians to win votes is to purchase expensive television advertising. A candidate challenging the incumbent for a seat on the town council has argued that the importance of television advertising inherently favors incumbents and therefore that political television advertising should be banned in Glen Isle.

The challenger's conclusion logically depends on which of the following assumptions?

(A) Incumbents have won eighty percent of the elections in Glen Isle in the last 10 years.

(B) Some incumbent candidates in Glen Isle have been able to win votes by organizing frequent political rallies.

(C) Not all challengers in Glen Isle are skilled political fundraisers.

(D) Glen Isle incumbents have access to financial support in excess of that available to challengers.

(E) Banning political television advertising is not unconstitutional.
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Data Sufficiency Butler: August 2026
August 25DS 1DS 2

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DS 1

Three typists worked to type a single manuscript. What percent of the total number of words was typed by the slowest of the three typists?

(1) All three typists typed steadily and independently for 4 hours at the rates of 40, 50, and 60 words per minute to complete the manuscript.
(2) The fastest typist typed 150% as fast as the slowest.
______________________
DS 2

­Train A leaves the station at 5:00, and travels north at 50 miles per hour. If train B leaves the same station some time later, heading in the same direction as train A, at what time will train B overtake train A?

(1) Train B leaves the station at 6:00.
(2) Train A travels at 5/6 the speed of train B.
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Problem Solving Butler: August 2026
August 26PS 1PS 2

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PS 1

It takes 50 seconds for Pump A, 60 seconds for Pump B, and 100 seconds for Pump C to each pour 100 gallons of water into a certain lake at their constant rates, respectively. Approximately how many seconds will it take for all three pumps, A, B, and C, to pour 1,000 gallons of water into the lake together at their constant rates?

A. 188
B. 194
C. 214
D. 232
E. 241
____________________
PS 2

A river flows with a constant speed of 2 miles per hour. It takes 3 hours for a ship to go 6 miles upstream. How many hours does it take the ship to travel the same distance downstream?

A. \(\frac{1}{4}\)

B. \(\frac{1}{3}\)

C. \(\frac{1}{2}\)

D. \(1\)

E. \(\frac{3}{4}\)
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Critical Reasoning Butler: August 2026
August 26CR 1CR 2

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CR 1

Residents of Milatia are known for their longevity. Nutritionists maintain that the Milatians can attribute their increased lifespans to their diets. In addition to consuming a diet full of leafy greens, they also have a low intake of saturated fats, which have been implicated in heart disease and atherosclerosis. Therefore, if one wants to have increased longevity, he or she should follow a Milatia based diet.

Which one of the following is an assumption on which the argument depends?

A. Other aspects of the Militians’ lifestyle do not affect the observed trend of longevity in Milatia.

B. Adopting another people’s eating habits will, in of itself, not confer the same advantages, unless a person incorporates exercise into his or her life.

C. The Milatian lifespan has a relatively uniform distribution, with very few dying young from natural causes.

D. Milatians are the only people in whom there is a perceived link between diet and longevity.

E. All Milatians are known to have a lifespans that are above average.

__________________________
CR 2

­A recently published article on human physiology claims that Enzyme K contributes to improved performance in strenuous activities such as weightlifting and sprinting. The Article cites evidence of above-average levels of enzyme K in Olympic weight lifters and sprinters.

Which of the following, if true,would most strengthen the article's conclusion?

A. Enzyme K levels are the most important factor affecting the performance of strenuous activities.

B. Enzyme K has no other function in the human body

C. Enzyme K is required for the performance of strenuous activities.

D. Enzyme K helps weight lifters more than it helps sprinters.

E. Strenuous activities do not cause the human body to produce unusually high levels of enzyme K
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Data Sufficiency Butler: August 2026
August 26DS 1DS 2

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DS 1

John is driving from Town A to Town B. What is his average speed over the entire trip?

(1) He drives the entire 120 miles in 3 hours.

(2) His maximum speed during the trip was 50 miles per hour and his minimum speed was 30 miles per hour.

_________________________
DS 2

­How far is Town A from Town C?

(1) Town A is 160 kilometers from Town B.

(2) Town B is 155 kilometers from Town C.
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Problem Solving Butler: August 2026
August 27PS 1PS 2

______________________
PS 1

How many subsets of {1,2,3,4,5,6,7,8} contain at least one prime number?

A. 60
B. 120
C. 150
D. 180
E. 240
______________________
PS 2

Machines U and T can produce 10,000 units in x hours when working together at their constant rates. If U can produce 10,000 units alone in 4x/3 hours, in terms of x, how many hours will it take T to produce 10,000 units alone?

A. 5x/2
B. 4x
C. 2x
D. x
E. x/2
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Critical Reasoning Butler: August 2026
August 27CR 1CR 2

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https://gmatclub.com/forum/currently-the-town-of-san-hernan-sends-its-elementary-students-to-461560.html https://gmatclub.com/forum/currently-the-town-of-san-hernan-sends-its-elementary-students-to-461560.html CR 1

Currently, the town of San Hernan sends its elementary students to Carmichael Elementary School or Ira Hayes Elementary School in the neighboring town of Morton. However, San Hernan will have its own elementary school next year. Therefore, Morton will have to close either Carmichael Elementary School or Ira Hayes Elementary School next year.

The argument above assumes that:

A. without the San Hernan students, Mortonwill have too few students for two schools.

B. the new school will not be filled to capacity for several years.

C. the students from San Hernan represent a small proportion of the student body of the Morton schools.

D. Morton’s elementary schools have been overcrowded because of the extra students from San Hernan.

E. students will not transfer out of the district in the next twelve months.

_________________________
CR 2

It has recently been proposed that Country X adopt an all volunteer army. This policy was tried on a limited basis several years ago and was a miserable failure. The level of education of the volunteers was unacceptably low, while levels of drug use and crime soared among army personnel. Can Country X trust its national defense to a volunteer army? The answer is clearly “No.”

Which of the following statements, if true, provides the most support for the claim that an all-volunteer army should not be implemented?

A. The population’s level of education has risen since the first time an all-volunteer army was tried.

B. The proposal was made by an organization called Citizens for Peace.

C. The first attempt to create a volunteer army was carried out according to the same plan now under proposal and under the same conditions as those that exist today.

D. A volunteer army would be less expensive than an army that relies on the draft.

E. Armies are smaller today than they were when a volunteer army was last proposed.
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