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Bunuel
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Main Chatroom 15 Jan 2026, 23:31
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Problem Solving Butler: January 2025
January 16PS 1PS 2

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PS 1

p, m, and n are positive integers greater than 1 such that p = m x n and m and n do not have any common prime factors. If p has 25 factors, m has r factors, and n has s factors, what is the value of (r + s)?

A. 4
B. 8
C. 10
D. 16
E. 25

___________________
PS 2

If (10 – 6a)^5 = –1, a = ?

A. –3 / 2
B. –11 / 6
C. 3 / 2
D. 5 / 3
E. 11 / 6
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Main Chatroom 15 Jan 2026, 23:34
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Critical Reasoning Butler: January 2025
January 16CR 1CR 2


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CR 1

Agriculturalists have noted that soil with an abnormally low proportion of nutrients such as magnesium and potassium is usually acidic, which severely hampers crop growth. Thus, agriculturalists recommend treating soil with nutrient-heavy fertilizers such as lime, wood ash, and Epsom salts to prevent soil acidity.

Which of the following, if true, most strongly suggests that it would not be advisable to follow the agriculturists’ recommendation?

A. Soil acidity alters the chemistry of soil in a way that makes it difficult for it to absorb nutrients such as magnesium and potassium.
B. Soil acidity can resolve itself without intervention, sometimes.
C. Lime contains elements that are not easily absorbed by many types of soil.
D. Epsom salts are not easily available in all regions.
E. Low magnesium and potassium levels in soil can in some cases be fixed through composting.

______________________
CR 2

A carbon credit is a permit that allows a company to produce a certain amount of greenhouse gases. The government issues the credits to companies who invest in environmental initiatives. After reaching their limit for greenhouse gas production, larger companies sell their remaining credits to smaller companies for less than the smaller companies would need to invest in environmental initiatives to earn the credits themselves. This practice has resulted in a drop in investment in environmental initiatives.

To discourage the purchase and sale of carbon credits, it would be best if the government restricted

A. how many credits a company can earn per year
B. the industries that can use the credits
C. in which months of the year the additional credits can be used
D. how much time may elapse between the issuing and use of the credits
E. the use of the credits to the companies that earned them and the companies’ subsidiaries
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Main Chatroom 15 Jan 2026, 23:38
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Data Sufficiency Butler: January 2025
January 16DS 1DS 2

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DS 1

Solutions A, B, and C are mixed. What is the ratio of alcohol and water in the resultant solution?

(1) A contains 20% alcohol, B contains 20% alcohol, and C contains 80% water.
(2) All solutions contain only water and alcohol.
________________________
DS 2

A helium balloon begins to slowly lose helium. Did the balloon contain more than 5 gallons of helium when it was first inflated? (Note: 1 gallon = 128 ounces)

(1) The helium leaked at a constant rate of .32 ounces per minute.
(2) The balloon was fully deflated within 48 hours of its inflation.
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I believe ISB deferral has now been removes the new program is just ISB YL

janvibothra
Hi guys, did anyone here apply for deferral for ISB?
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Main Chatroom 16 Jan 2026, 00:06
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I believe ISB deferral has now been removed the new program is just ISB YL

janvibothra
Hi guys, did anyone here apply for deferral for ISB?
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I am 26 yo Female who has done a tier 3 MBA and am working in IT consulting for 4.5 years now. I want to join ISB for my second MBA. Are second MBAs encouraged in ISB and what is the target score I should aim for?
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HermioneReads
I am 26 yo Female who has done a tier 3 MBA and am working in IT consulting for 4.5 years now. I want to join ISB for my second MBA. Are second MBAs encouraged in ISB and what is the target score I should aim for?
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Target Score should be around 655-675.
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I read on reddit that for EU MBA, only INSEAD and LBS are worth considering. How true is this?
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Problem Solving Butler: January 2025
January 19PS 1PS 2

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PS 1

A certain car consumed 9 liters of fuel during a recent 100-kilometer road trip. Supposing that 15 liters are equal to 4 gallons, and that 5 miles are equal to 8 kilometers, approximately how many miles can the car be driven if its 12-gallon fuel tank is completely full, and its fuel consumption never varies?

(A) 190
(B) 220
(C) 250
(D) 280
(E) 310

___________________
PS 2

How many factors of 60^2 are multiples of 3 ?

A. 10
B. 12
C. 15
D. 20
E. 30
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Critical Reasoning Butler: January 2025
January 19CR 1CR 2

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CR 1

The government’s efforts to stifle the import of foreign electronic items failed in 2000. If these efforts had been successful, the wholesale price of most electronic items would not have dropped substantially in 2000.

The argument in the passage depends on which of the following assumptions?

A) The foreign electronic goods supply fell considerably in 2000.
B) In 2000, the drop in the wholesale price of most foreign electronic items was not solely because of the drop in the demand of such items.
C) The domestic production of electronic items increased at a higher rate than did the import of such items.
D) In 2000, the wholesale price of a few foreign electronic items increased considerably.
E) The price to the average consumer for foreign electronic items did not drop considerably in 2000.
______________________
CR 2

Textile engineers have created a fiber coating to produce fabric that prevents viruses from adhering to the surface. However, the coating is fairly expensive, and the fabric consumes more chemicals and water in its production than do traditional fabrics. Resultantly, for the majority of textile companies, the increased earnings from the new premium fabric would not offset the costs of the fiber coating and additional chemicals. Yet, as demand for garments that can repel viruses continues to rise, the use of coated fiber of this type is expected to spread extensively.

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

A. The first presents a development that the argument predicts will lead to a certain result; the second recognizes a consideration that tends to weigh against that prediction.
B. The first provides a context for the argument; the second is the main conclusion of the argument.
C. The first introduces a development that the argument predicts will lead to a certain result; the second is a state of affairs that, as per the argument, contributes to bringing about that result.
D. The first provides evidence to support a prediction that the argument seeks to defend; the second is that prediction.
E. The first and the second each provide evidence that supports the main conclusion of the argument.
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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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Thinking about a J-Term or Spring Start MBA?
Thinking about starting your MBA outside the traditional Fall intake? J-Term and Spring Start MBA programs can be a strong option for candidates looking for flexibility or a different application timeline, but they work very differently from Fall intakes.

Join our Live Coffee Chat where we’ll break down how J-Term and Spring Start MBA programs work, who they are best suited for, and how to decide if they align with your career goals. This interactive session will be led by Jenifer Turtschanow, CEO of ARINGO MBA Admissions Consulting.

Date: 29th January 2026
Time: 9:30 PM IST | 8:00 AM PT

Click here to register for the session
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Main Chatroom 19 Jan 2026, 23:42
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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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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.
______________________
CR 2

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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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.
__________________________
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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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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