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Problem Solving Butler: March 2025
March 6PS 1PS 2

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PS 1

The amount of compound interest earned on a principal amount P over a period of n years is calculated using the formula I = P[(1 + r/100)^n - 1], where r is the percent annual interest. The amount of simple interest on a principal amount P over a period of n years is calculated using the formula I = (P x r x n)/100, where r is the percent annual interest. If Jack invested $10,000 into an investment that returned 10% annual compound interest and $5,000 into an investment that returned 10% simple interest, what was the total interest he earned on the two investments at the end of two years?

A. $3000
B. $3050
C. $3100
D. $3200
E. $3300

_______________________
PS 2

A retailer bought 25 items for $800 and sold them at the profit of his selling price for 5 items. What was his selling price per item?

A. $32
B. $36
C. $38.4
D. $40
E. $42
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Critical Reasoning Butler: March 2025
March 6CR 1CR 2

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CR 1

Most gourmet chefs enter the restaurant industry, intending to create innovative new recipes and regard those with similar motivations as their colleagues. Thus, when a chef becomes famous for providing simple culinary advice to a general audience, most other chefs come to the conclusion that this celebrity should not be considered a true colleague any longer.

The explanation offered above for the low regard in which celebrity chefs are held by gourmet chefs assumes that

A) gourmet food preparation is not a solitary activity, but relies on active cooperation among a group of colleagues
B) gourmet chefs usually do not see those chefs whose fame they envy, as colleagues
C) it is possible that a chef becomes a famous celebrity without having created an innovative new recipe
D) those who are not chefs cannot accurately evaluate or understand innovative recipes
E) gourmet chefs believe that chefs famous for providing simple culinary advice are not interested in creating innovative new recipes
________________________
CR 2

Intending to become self-sufficient in energy production, the government of Taggar has issued minimum energy efficiency requirements for all household appliances, electric vehicles, lighting fixtures, and all other electric devices. About eighty percent of the total electricity produced in Taggar is generated from fuel. The more energy-efficient an electric device is, the less fuel is needed to power it over time. As Taggarans replace their old electric devices with ones compliant with the new requirements, annual consumption of fuel for energy generation is likely to decrease in Taggar.

Which of the following, if true, most seriously weakens the argument?

A. In Taggar, domestically produced energy is more expensive than imported energy.
B. The Taggaran government did not institute the new energy-efficiency requirements for the purpose of fuel conservation.
C. Taggarans who get more energy-efficient electric devices tend to use them more than they did the older devices.
D. The new regulations need no specific change in the composition of materials used to construct electric devices in Taggar.
E. Some energy-efficiency measurement devices mandated in Taggar indicate electric devices to be less energy-efficient than the devices actually are.
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Reading Comprehension Butler: March 2025
March 6RC 1
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Data Sufficiency Butler: March 2025
March 6DS 1DS 2

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DS 1

In 2025, Aurora Media sold StreamPlus subscriptions for s dollars each and NewsLite subscriptions for n dollars each. What was the ratio of Aurora Media’s total revenue from StreamPlus subscriptions to its total revenue from NewsLite subscriptions?

(1) Each StreamPlus subscription cost 6 times as much as each NewsLite subscription.

(2) Aurora Media sold 5 times as many NewsLite subscriptions as it sold StreamPlus subscriptions.
____________________
DS 2

On January 1, 2026, Atlas Fitness had 48,000 more active members than Beacon Fitness. During 2026, the number of active members at each gym increased by p percent. After the increase, how many more active members did Atlas Fitness have than Beacon Fitness did?

(1) On January 1, 2026, Beacon Fitness’s number of active members was 5/11 of Atlas Fitness’s number of active members.

(2) p = 15
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Data Sufficiency Butler: March 2025
March 7DS 1DS 2

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DS 1

A tea shop placed 27 sealed jars of loose leaf tea on two shelves. On each shelf, the jars are arranged from lightest to heaviest. If the heaviest jar on the lower shelf weighs 1.18 kg, and the lightest jar on the upper shelf weighs 1.32 kg, what is the median weight of the 27 jars?

(1) The average (arithmetic mean) weight of the 27 jars is 1.25 kg.
(2) The lower shelf holds one more jar than the upper shelf.

________________________
DS 2

In 2025, Orion Labs recorded a number for each of the 12 months to represent that month’s profit or loss. A profit was recorded as a positive number, a loss was recorded as a negative number, and a break even month was recorded as 0. Did Orion Labs have more months with a profit than months with a loss in 2025?

(1) The sum of the 12 recorded numbers is less than 0.
(2) The median of the 12 recorded numbers is less than 0.
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Data Sufficiency Butler: March 2025
March 8DS 1DS 2

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DS 1

A bike share operator ran a four week pilot program and recorded the number of rides taken in each week. The average (arithmetic mean) number of rides per week for Weeks 1, 2, and 3 was 8,640. How many more rides were taken in Week 4 than in Week 1?

(1) The average (arithmetic mean) number of rides per week for Weeks 2, 3, and 4 was 9,120.
(2) The total number of rides taken in Weeks 1 and 2 was equal to the total number of rides taken in Weeks 3 and 4.

______________________
DS 2

In a training workshop, each participant took a certification quiz exactly once, either remotely or in person. The average (arithmetic mean) score on the quiz for all participants was 84. What was the average (arithmetic mean) score of the participants who completed the quiz remotely?

(1) There were 30 participants in the workshop.
(2) One sixth of the participants completed the quiz in person, with an average (arithmetic mean) score of 90.
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