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Problem Solving Butler: June 2026
June 29PS 1PS 2

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PS 1

Alan and Brian each work at a constant rate, and Alan can do twice as much work per day as Brian. Working together, they complete a piece of work in 20 days. In how many days can Alan complete the work working alone?

A. 20 days
B. 24 days
C. 30 days
D. 40 days
E. 60 days
__________________
PS 2

Luca, working at a constant rate, can complete a data migration working alone in 24 days, while Marco, working at a constant rate, can complete the same migration working alone in twice that time. They start working together, but Luca stops working 6 days before the migration is finished. How many total days does it take to finish the migration under this schedule?

A. 16 days
B. 18 days
C. 20 days
D. 24 days
E. 30 days
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Critical Reasoning Butler: June 2026
June 29CR 1CR 2

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CR 1

Due to an obscure technicality in food labeling known as the batter-coating rule, French fries are legally considered fresh vegetables. The batter-coating rule stipulates that any vegetable that has been processed – such as a cucumber that has been waxed or a strawberry that has been sweetened – is still considered fresh as long as it is perishable, and French fries are the result of processing a vegetable.

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

A. French fries are healthy.
B. French fries are unhealthy.
C. French fries are perishable.
D. French fries are waxed and sweetened.
E. The potato industry lobbied heavily to redesignate the French fry as a vegetable.
___________________
CR 2

Which of the following best completes the passage below?

At a recent meeting on environmental threats off the coast of the state of Maine, most participants favored uniform controls on the quality of food fed to salmon species in fish farms located along the coast of the state. Such controls were overwhelmingly supported without regard to whether or not specific environmental damage could be linked to a particular type of food being used. What must, of course, be shown, in order to mitigate the risk of excessively restrictive controls, is that _____ .

(A) all agreed upon controls that are uniform in nature will be implemented without any delay

(B) all fish foods that will be the subject of controls are known to actually cause environmental damage off the coast of Maine

(C) the meeting participants favoring uniform controls are primarily from an industry that competes with the salmon farmers

(D) all of the chemicals that are ingredients in some of the controlled substances are known to cause environmental damage

(E) the environmental damage that has historically been caused by the dangerous fish foods is not reversible in the foreseeable future, if ever
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Data Sufficiency Butler: June 2026
June 29DS 1DS 2

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DS 1

Two uniform cleaning solutions contain only cleaning concentrate and water. In solution A, the ratio of cleaning concentrate to water is 1 to 3. In solution B, the ratio of cleaning concentrate to water is 2 to 3. If 24 liters of solution A are poured into solution B, what is the ratio of cleaning concentrate to water in the resulting solution B?

(1) After the 24 liters are added, solution B contains 18 liters more water than cleaning concentrate.
(2) Before the 24 liters are added, solution B contains 6 liters more water than cleaning concentrate.

______________________
DS 2

A summer camp has several campers whose ages are all different, and the combined age of all the campers is 215 years. The 4 oldest campers are assigned to Cabin A, the 3 youngest campers are assigned to Cabin B, and the remaining campers are assigned to Cabin C. If the combined age of the 4 oldest campers is 110 years, how many campers are assigned to Cabin C?

(1) The combined age of the campers assigned to Cabin C is 60 years.

(2) The combined age of the campers assigned to Cabin B is 45 years.
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Live Profile Evaluation Chat Session with ARINGO MBA admission consultants


Wednesday, July 01, 2026, at 08:00 AM PDT | 08:30 PM IST
What’s in it for you- Live Profile Evaluation Chat Session with Jenifer Turtschanow, CEO, ARINGO.
Come with your details prepared and ARINGO will share insights!
Pre-MBA Role/Industry, YOE, Exam Score, C/GPA, ECs
Post-MBA Role/ Industry & School List.
Join the chat here: mchat.php?room_id=50050366
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Problem Solving Butler: June 2026
June 30PS 1PS 2

_____________________
PS 1

Daniel can complete a piece of work alone in 10 days, and Stefan can complete the same work alone in 5 days. The work carries a total payment of 1,200 euros. Daniel, Stefan, and a third person, Oliver, work together and complete the work in 2 days. If the payment is divided in proportion to the amount of work done by each person, what is Oliver’s share of the payment?

A. 300 euros
B. 360 euros
C. 400 euros
D. 480 euros
E. 600 euros
_____________________
PS 2

Andreas and Bruno each work at a constant rate. Andreas can clear a garden plot working alone in 50 days. He works for 5 days and then leaves. The remaining work is cleared by Bruno working alone in 30 days. In how many days can Andreas and Bruno clear the entire plot if they work together from the start?

A. 16 2/3
B. 18 3/4
C. 20
D. 22 1/2
E. 25
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Critical Reasoning Butler: June 2026
June 30CR 1CR 2

___________________
CR 1

­Many physicians cater to their patients’ insistence that they be given antibiotics for a common cold. However, these illnesses are viral in nature, and such medications have no effect on viruses. This course of treatment is troublesome, as antibiotics have dangerous side effects and unnecessary use of these drugs can lead to resistant bacteria. So clearly doctors need to stop prescribing antibiotics to treat the common cold.

Which of the following best describes the role of the two boldfaced portions above?

A. The first is a phenomenon that the argument addresses; the second is evidence used by the author to support his position.
B. The first is a phenomenon that the argument addresses; the second is the author’s primary conclusion.
C. The first is evidence used by the author to support his conclusion; the second is that conclusion.
D. The first is a circumstance that the author tries to explain; the second is that explanation.
E. The first is a circumstance that the author tries to explain; the second is the author’s primary conclusion.
___________________
CR 2

Most research scientists who work for corporate consulting firms have low levels of job satisfaction. However, Expert Consulting is known throughout the industry for research scientists who experience very high levels of job satisfaction. Expert Consulting attributes its success in cultivating happy employees to its programs enabling staff scientists to work on their own research projects in addition to working for clients.

Which of the following, if true, most strongly supports Expert Consulting’s explanation of its success in cultivating happy employees?

A. Some scientists experience low job satisfaction when they must work more than full time.
B. Most scientists at corporate consulting firms come from academic programs that they entered because they enjoyed pursuing their own research questions
C. Many of Expert Consulting’s senior staff scientists divide their time between working on their own research projects and working for clients.
D. Working on their own research projects shields scientists from exposure to other industries in which they might find better paying jobs.
E. The cost of living near Expert Consulting is relatively low compared to areas in which some other scientific consulting firms.
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