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Practice Questions Chat 19 Jan 2026, 00:56
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Data Sufficiency Butler: January 2025
January 19DS 1DS 2

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DS 1

Arnold purchased 10 pounds of caramel, 5 pounds of nougat, and 6 pounds of marshmallows from a wholesale confectionary for a total of $43. If the price for each confection is directly proportional to its weight, what is the price of 1 pound of caramel and 3 pounds of marshmallows?

(1) Phillip purchased 4 pounds of caramel and 4 pounds of nougat for a total of $14.
(2) Mary purchased 8 pounds of caramel and 5 pounds of nougat for a total of $22.
_____________________
DS 2

The value of a minted coin is directly proportional to its thickness and inversely proportional to its area. What is the value of a coin with radius 10mm and thickness 1mm?

(1) Value of a coin with radius 5 mm and thickness 2mm is $1.
(2) Value of a coin with radius 2.5 mm and thickness 1 mm is $8.
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Hi all, does anyone know the answer to this one? Should it be B or E?
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Problem Solving Butler: January 2025
January 20PS 1PS 2

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PS 1
If \((\frac{1}{125})^a (\frac{1}{16})^8 = \frac{1}{5} (10)^{32}\), a = ?

A. -11
B. -5
C. 5
D. 10
E. 11

__________________
PS 2

If P is a positive integer and Q = 120P – 60, which of the following MUST be a divisor of Q?

A. 7
B. 11
C. 13
D. 17
E. 30
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Practice Questions Chat 19 Jan 2026, 23:45
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Critical Reasoning Butler: January 2025
January 20CR 1CR 2

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CR 1

The oldest extant iteration of Gameco’s coding engine is forty years old. The fact that the code used in this engine frequently uses lower-level programming languages indicates that Gameco formulated its coding practices at least ten years before the aforesaid coding engine was produced. Keep in mind, Gameco adopted its coding engine from Crytek; presumably, alongside the coding engine, Gameco also adopted Crytek’s then-current practices regarding the programming languages employed. And although Crytek coding was originally an amalgamation of lower- and higher-level languages, forty years ago, Crytek was consistently using higher-level languages, and had been doing so for about ten years.

In the argument given, the two portions in boldface play which of the following roles?

(A) The first and the second each describe evidence used to challenge the position that the argument seeks to establish.
(B) The first is evidence on which an objection to the position that the argument seeks to establish is based; the second is that position.
(C) The first and the second each provide evidence supporting the position that the argument seeks to establish.
(D) The first is evidence on which an objection to the position that the argument seeks to establish is based; the second is a consideration the argument introduces to counter the force of that evidence.
(E) The first provides evidence supporting the position that the argument seeks to establish; the second is that position.
______________________
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Many have suggested that increased qualification standards have been the primary cause of the present recruitment shortfall in the navy. However, the shortage has actually been caused by the facts that in recent years, seamen have not experienced any improvements in the work environment and that their salaries have not kept pace with salaries in the other branches of the armed forces.

Which of the following, if true, would most support the claims above?

A. Many seamen already in the navy would not have been recruited under the new qualification standards.
B. Many seamen have cited low pay and confined workspace as reasons for leaving the navy.
C. Some seamen have cited increased standards for qualification as a reason for the current recruitment shortfall.
D. Today more seamen are joining the navy with a higher educational level than in the past.
E. Many prospective seamen have cited the new qualification standards as a reason for not joining the navy.
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Data Sufficiency Butler: January 2025
January 20DS 1DS 2

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DS 1

What was the median of the number of parcels that a certain mailman delivered each day, for the last 7 days?

(1) The total number of parcels the mailman delivered over the last 7 days is 189.
(2) The mailman delivered 25 parcels on each of the last 5 days.

_____________________
DS 2

A two digit number is randomly selected and multiplied by itself x times. What is the probability that the unit’s digit of the resulting number is 1?

(1) x = 12.
(2) x is a multiple of 4.
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January 20th Quant Question of the Day



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January 20th Verbal Question of the Day



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Data Sufficiency Butler: January 2025
January 21DS 1DS 2

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DS 1

In a certain year, in a city, the percentage of the population that was below 2 years of age in August was 5.15; in July, the same value was 5.1 percent. If the total population of the city was the same across the two months, how many people were below 2 years of age that August?

(1) In the given year, 200 more people were below the age of 2 years in August than in July.
(2) In the given year, in July, the number of people below 2 years of age was 204,000.
________________________
DS 2

Jen walked along a track at an average speed of 100 meters per minute. Was the length of the track greater than half a kilometer? (1 kilometer = 1000 meters)

(1) She took more than 250 seconds to cover the track.
(2) She took less than 290 seconds to cover the track.
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Critical Reasoning Butler: January 2025
January 21CR 1CR 2

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CR 1

A common contention among economists is that if they could build an accurate mathematical model that accounted for all economic variables, they could effectively foretell the results of any economic action. But this meaningless conjecture cannot be evaluated because any inadequate predictions would obviously be blamed on imperfections in the model.

Which of the following, if true, would cast the most serious doubt on the economists’ conjecture?

A. The monetary supply produced and maintained by nations across the world is carefully observed and known to be inconsistent.
B. With existing economic models, large scale economic shifts can be predicted with greater accuracy than can relatively local changes in the economy.
C. As existing economic models improve, even small increments in complexity will require large increases in the number of computers required to implement the improved models.
D. Frequent, precise data regarding the decisions of governments and major corporations, as well as accurate predictions regarding upcoming climactic changes, are a prerequisite for constructing an accurate economic model.
E. Irrational human behavior, unexpected natural disasters, and several other processes that also cannot be quantified accurately are known to significantly and continuously affect the economy.
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CR 2

Research shows that experimental stem cell procedures designed to repair organ damage primarily affect the integrity of the organ tissue rather than the growth of individual cells within the tissue. Therefore, analyzing the effects of such treatments on the health of the individual cells is irrelevant. Rather, the effectiveness of these treatments should only be assessed at the tissue level.

Which of the following would it be most useful to establish in order to evaluate the argument?

A. Whether two methods to measure the integrity of the treated tissue usually give similar judgment
B. Whether the health of individual cells can be effectively analyzed without introducing factors that may impact cell health positively or negatively
C. Whether the health of individual cells affects the integrity of organ tissue
D. Whether some organs can repair comparable levels of damage without the treatment
E. Whether the research has shown that the stem cell procedure effective in treating one organ can repair damage to another organ
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Problem Solving Butler: January 2025
January 21PS 1PS 2

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PS 1

x # y represents the highest integer power of y in x!. Among the following five options, 50 # y is the maximum for y = ?

A. 25
B. 16
C. 15
D. 9
E. 7


_______________________
PS 2

X is the smallest integer that has three different factors greater than or equal to 200. What is the sum of the digits of X ?

A. 6
B. 8
C. 10
D. 12
E. 16
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January 21st Quant Question of the Day



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January 21st Verbal Question of the Day



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Problem Solving Butler: January 2025
January 22PS 1PS 2

_________________________
PS 1

What is the remainder when 21^32 is divided by 50?

A. 1
B. 11
C. 21
D. 31
E. 41

_________________________
PS 2

If P is a positive integer, which of the following is not possible for any value of x?

A. \(-(P^x) = (-P)^{(-x)}\)

B. \(-(P^x) = (-P)^x\)

C. \((P)^{(-x)} = -(P)^x\)

D. \((-P)^x = (-P)^{(-x)}\)

E. \((-P)^x = -(P^x)\)
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Critical Reasoning Butler: January 2025
January 22CR 1CR 2

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CR 1

Salmon meat is frequently used in gourmet cooking and retails at high prices. Meat from less valuable white fish, however, can be dyed to give it salmon’s distinct red/pink hue. Only experienced chefs are able to distinguish between genuine salmon and counterfeit salmon prepared in this manner. However, only ten percent of white fish caught can be dyed and much of the meat from these fish is not of a high enough quality for making the treatment worthwhile. Thus, surely the vast majority of salmon sold is genuine.

A serious flaw in the reasoning of the argument is that

A. comparisons between the price of salmon sold for gourmet cooking and its value for personal consumption are not mentioned
B. it does not consider the difficulty that a chef would have in distinguishing between genuine salmon and dyed white fish
C. the possibility that white fish may be used in gourmet cooking, even if it has not been dyed is overlooked
D. it treats the currently available method of dying white fish to resemble salmon as if it were the only method that can be used to do so
E. it does not consider how rare white fish dyed red/pink is in comparison with how rare genuine salmon is

____________________________
CR 2

The participants sorted into the experimental group of a consumer focus test were instructed to use a new brand of degreasing agent to clean their car engines for a month. Afterward, the members of this group reported a drop in their cars’ acceleration speed, while the control group, those who did not use the degreasing agent, did not report any drop. The detrimental effects on the cars were attributed to a petroleum solvent that is the principal active ingredient in the degreasing agent.

Which of the following, if true, would best help explain how the degreasing agent might produce the observed effect?

A. Chemical analysis of the degreasing agent determined that a concentrated form of the agent was used.
B. Subjects in the focus group did not know whether they were cleaning their car engines with the new degreasing agent or some other substance that is harmless.
C. As the primary use of the degreasing agent is as a cleaning agent, its negative effects are rarely noticed by car owners.
D. The petroleum solvent that is a constituent of the degreasing agent is also sold separately as a heavy-duty industrial cleaner.
E. A high level of the petroleum solvent degrades engine components responsible for the acceleration process.
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Data Sufficiency Butler: January 2025
January 22DS 1DS 2

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DS 1

Anne is participating in a shooting event. If she shoots five times, what is the probability that she hits the bull’s eye at least once?

(1) The probability of her hitting the bull’s eye is 20% in each shoot.
(2) The probability of her not hitting the bull’s eye is 80% in each shoot.

______________________
DS 2

Company M has two divisions – X and Y. Both the divisions have exactly two types of employees – operators and executives. Is the total number of employees in Division X greater than that in division Y?

(1) The division X has 10% executives and division Y has 25% executives.
(2) The company M has 15% executives.
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Join us with Aditya Kumar Today as we discuss how you set up motion questions, without memorizing formulas:
- One-body movement: tables, efficient algebra, average speed when relevant
- Two-body movement: diagrams/graphs + relative speed to simplify the setup

👉 *Watch Live on YouTube* https://www.youtube.com/watch?v=ueO1EQcH3aQ
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January 22nd Quant Question of the Day



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