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01 Jul 2026, 12:10
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01 Jul 2026, 22:56
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| Problem Solving Butler: July 2026 | ||
| July 2 | PS 1 | PS 2 |
______________________
PS 1
A team of T technicians, each working at the same constant rate, can complete a task in 60 days. If 8 additional technicians, each working at the same constant rate as the original technicians, join the team, the task is completed 12 days earlier. What is the value of T?
(A) 30
(B) 32
(C) 35
(D) 40
(E) 45
______________________
PS 2
Liam, Emma, and Noah together earn €600 per day. Liam and Noah together earn €380 per day, and Emma and Noah together earn €320 per day. How much does Noah earn per day?
(A) €80
(B) €90
(C) €100
(D) €110
(E) €120
01 Jul 2026, 22:58
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| Critical Reasoning Butler: July 2026 | ||
| July 2 | CR 1 | CR 2 |
______________________
CR 1
During a period of low growth after a recent and remarkable boom in the solar energy sector, Company X, a major manufacturer of solar-powered generators, attributed its success during the boom to the sale of excess inventory it had discovered in one of its warehouses.
Which of the following tests would most help to evaluate the company’s hypothesis as to the cause of its success?
A. Comparing the length of the low-growth period to the length of the preceding boom
B. Comparing the boom experienced by Company X to those experienced by similarly-sized manufacturers of solar powered generators that did not have inventory on hand
C. Calculating average sales increases within the individual divisions of Company X
D. Comparing the total number of generators sold by Company X during the boom to the total number sold by Company X during the period of low growth
E. Using economic theory to predict the next economic boom for Company X
______________________
CR 2
Senovia can be looked upon as an example of stability within an unstable region. Of the 4 countries in the Senovian Mountain region, Senovia is the only one to have the same borders today as it did 20 years ago.
Which of the following if true, would most weaken the conclusion presented above?
A. After years of dispute between Senovia and its neighbors, the United Nation redrew the country’s borders to match their original shape last year.
B. Two of Senovia’s neighbors split from one another to create independent countries 10 years ago.
C. Many countries in the region are more interested in acquiring new territory than they are in stabilizing existing borders.
D. Senovia has had unsteady economic growth during the 20 years in question.
E. As more countries in the Senovian Mountain region have joined global alliances, border disputes have become less likely.
