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If 10 workers can dig a 120 cm hole in 25 days, how many men would be required to dig a hole of 125 cm in 20 days?
Options:

12
13
15
17
22
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13v
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Yes 13.02

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I solved the same way
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Problem Solving Butler: February 2025
February 4PS 1PS 2

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PS 1

What is the smallest positive integer, greater than 4, that leaves remainder 4 when divided by 7, 11, or 13?

A. 81
B. 95
C. 147
D. 774
E. 1005
________________________
PS 2

If n = (39719)(0.0018), then n satisfies which of the following inequalities?

A. 100 < n ≤ 1,000
B. 10 < n ≤ 100
C. 1 < n ≤ 10
D. 0.1 < n ≤ 1
E. 0.01 < n ≤ 0.1
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Critical Reasoning Butler: February 2025
February 4CR 1CR 2

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CR 1

Doctors are finding that the rate at which their medical knowledge becomes obsolete has been increasing due to the exponential expansion of medical science over the last twenty years. Given how quickly medical science has been progressing, the average doctor’s skills and knowledge base become obsolete and must be updated as frequently as every seven years.

Which of the following plans, if feasible, would allow a hospital to prepare most effectively for the rapid obsolescence of skills and knowledge described above?

A. The hospital will establish a program to allow selected doctors the opportunity to receive additional training ten years after their original hiring date.
B. The hospital will raise its investment in advanced medical equipment per year for at least the next seven years.
C. The hospital will ensure that it can offer its doctors any training necessary to meet their job requirements.
D. Before introducing doctors to the latest medical science theories, the hospital will start an educational program to inform its doctors of the probable far-reaching effects of these theories.
E. At regular intervals, the hospital will survey its doctors to determine how the expansion of medical science has affected them.

___________________________
CR 2

During the Age of Exploration, in Europe, spices and tropical fruits were almost exclusively consumed by the wealthiest members of society; the cost and prestige of these commodities fell when they began to be consumed by the common man. Thus, if common people begin consuming commodities, such as caviar, that are currently exclusively associated with the upper class, the cost and prestige of these commodities will also fall.

The argument above is based on

A) a separate argument that employs circular reasoning
B) an effort to disprove a generality through an exception
C) a parallelism between a historical phenomenon and a future event
D) an appeal to commonly held beliefs and values
E) a critique of the opposition’s character
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Data Sufficiency Butler: February 2025
February 4DS 1DS 2

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DS 1

What is the percentage of alcohol in solution X?

(1) If 50 liters alcohol is added, X will contain 60% alcohol.
(2) If the volume of water, equivalent to that of the total solution, is added, X will contain 20% alcohol.

______________________
DS 2

Lee, Dimitra, and Jan, each had to pay a fine for accidental property damage. If the total amount paid by the 3 was $900, what was the median amount?

(1) Jan was fined $300.
(2) Lee and Dimitra were fined a total of $600.
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Problem Solving Butler: February 2025
February 5PS 1PS 2

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PS 1

What is the remainder when 2^100 is divided by 15?

A. 1
B. 2
C. 3
D. 5
E. 6
________________________
PS 2

Which of the following is the closest approximation to \(\frac{√(73) * √(239)}{√(7.2) + √(15.7)}\)?

A. 10
B. 15
C. 20
D. 25
E. 30
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Critical Reasoning Butler: February 2025
February 5CR 1CR 2

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Not long ago, the brown tree snake was inadvertently introduced, via a cargo ship hailing from Papua New Guinea, into the jungles of Guam. In this new environment, the tree snake became an apex predator and began to threaten the local bird populations, particularly that of the white-throated ground dove. To help track the tree snake’s spread, wildlife agencies have informed local bird watching societies of the danger posed by the brown tree snake and asked them to report any tree snakes they saw.

Which of the following, if true, would provide most support for the prediction that the agencies’ action will have its intended effect?

A. Most recreational bird watchers in Guam are interested in the preservation of the white-throated ground dove because it is a rare bird, whose sightings are highly prized.
B. Tree snakes generally hunt nocturnally, but most recreational bird watchers in Guam practice their hobby during the day.
C. The brown tree snake has an aggressive nature that makes it unattractive as prey.
D. The tree snake is one of the multiple nonnative species on Guam that threaten the survival of white-throated ground dove populations there.
E. The bird calls that most people use when trying to spot a white-throated ground dove on Guam do not attract the tree snake.
___________________________
CR 2

Subscription Banner: Subscribing to paid news websites is more secure than reading “free” news sites. Remember, if a product is free, the consumer is the real product. Most “free” sites harvest their readers’ browsing data and sell it to marketing firms.

Which of the following, if true, is most damaging to the position espoused by the subscription banner?

A. Consumers who do not read news websites are less likely to be influenced by online marketing than consumers who do read news websites.
B. Paid news websites engage in data harvesting just as often as free news websites do.
C. For locations with poor internet connectivity, paid news websites can guarantee faster loading times and video quality than free news websites can.
D. Subscription to paid news websites includes access to certain digital news services that do not deal with data harvesting in any way.
E. Subscribers to paid news websites can choose what level of access they want to the site and pay accordingly.
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Data Sufficiency Butler: February 2025
February 5DS 1DS 2

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DS 1

Some Nitrogen was added into each of the 5 Nitrogen cylinders in a lab. If the standard deviation of the volume of Nitrogen in the 5 cylinders before the addition was 10 gallons, what was the standard deviation of the same after the addition?

(1) 7 gallons of Nitrogen was added into each of the cylinders.
(2) The average volume of Nitrogen in the 5 cylinders was 30 gallons before the addition and 37 gallons after the addition.

___________________________
DS 2

The compound interest on a loan is calculated using P[(1 + r / 100 )^n – 1], where P is the principal amount borrowed, r is the annual rate of interest and n is the number of years.

The simple interest on a loan is calculated using (P * r * n) / 100 , where P is the principal amount borrowed, r is the annual rate of interest and n is the number of years.

If the same amounts are borrowed at the same rate of interest for three years, the compound interest paid will be what percentage greater than the simple interest paid?

(1) The rate of annual interest is 10%.
(2) The amount borrowed is $100,000.
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