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Problem Solving Butler: April 2025
April 30PS 1PS 2

______________________
PS 1

The function # is defined as p # q = p – q if p > q, else as p x q. What is the value of 3#(2#(4#2))) ?

A. -1
B. 0
C. 4
D. 7
E. 12
______________________
PS 2

Four boys and three girls are to be seated in a row. How many different arrangements are possible if two particular girls – Rita and Maria – must sit together and two particular boys – Sam and Tim – must not sit together?

A. 240
B. 720
C. 960
D. 1200
E. 1440
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Critical Reasoning Butler: April 2025
April 30CR 1CR 2

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CR 1

Vignola Home Repairs had the fastest roofing project completion timelines of the top 15 home repair firms in Italy, from January to April 2007. From May to September 2007, Vignola Construction had the slowest roofing project completion timelines of these 15 firms. The roofing project completion timelines of the other 14 firms relative to each other remained unchanged.

Which among the following statements, if true, would best help to explain the facts mentioned in this question?

A. Vignola Home Repairs increased its roofing project rates in May 2007 to compensate for increased material costs, and doing so bought down roofing project revenue by 12 percent.
B. Vignola Home Repairs works in regions that experience heavy rainfall during the summer, whereas the other construction firms work in regions that experience moderate rainfall.
C. In May 2007, Vignola Home Repairs replaced seven old cranes with new ones; the new cranes suffered from fewer breakdowns than the old ones.
D. In May of 2007, Vignola Home Repairs started a financial incentive program for its construction staff for projects completed on time, but the other 14 firms took no such initiative.
E. A new labor policy introduced in May 2007 caused labor unions of all constructions firms across Italy to go on strike for two weeks.
_______________________
CR 2

Minister: Over the last three years, we have spent a considerable amount of time, money, and effort to clean our major cities, which had fallen into disrepute over the matter of public hygiene. These efforts clearly demonstrate our concern for cleanliness and the environment.

Press representative: That is not entirely true. All your efforts were heavily covered by the media and have helped you generate a positive image as a pro-environment government. Certainly, this move has political benefits, and you are not truly concerned about whether the underlying work is carried out effectively.

The press representative’s conclusion would be most properly drawn if it were true that

A) the minister’s efforts regarding the cleaning campaigns were not as successful as similar efforts made by another minister in another state during the same period
B) the minister consciously used the cleaning campaign as a marketing tool in the media
C) if the money spent on marketing were spent on additional cleaning efforts, it would have been more beneficial for the cities
D) the heavily media-covered cleaning campaign did not yield significant results in actually improving the cleanliness of the cities
E) the press had covered other cleaning campaigns elsewhere, which were not marketed so heavily in the media
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Data Sufficiency Butler: April 2025
April 30DS 1DS 2

_______________________
DS 1

A neighborhood library purchased 45 paperback copies of a novel at an average price of $16 per copy. It then decided to buy 15 hardcover copies of the same novel as well. Was the average (arithmetic mean) price per copy of all 60 books less than $22?

(1) The total cost of the 15 hardcover copies bought was more than $550
(2) Each hardcover copy cost less than $40.
_______________________
DS 2

At a food fair, Nora bought 8 kilograms of nuts from each of two vendors, Green Market and Riverside Market. At Green Market, almonds cost $12 per kilogram, cashews cost $14 per kilogram, and pistachios cost $17 per kilogram. At Riverside Market, the corresponding prices were $13, $15, and $18 per kilogram. Did Nora spend more money at Riverside Market than at Green Market?

(1) The ratio of almonds to cashews to pistachios that Nora bought at Green Market was 6:1:1.

(2) The ratio of almonds to cashews to pistachios that Nora bought at Riverside Market was 1:3:4.
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NEW - Reading Comprehension Butler!


Reading Comprehension Butler: April 2025
April 30RC 1
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1. https://gmatclub.com/forum/in-the-decim ... 54389.html (PS)
2. https://gmatclub.com/forum/a-stores-ann ... 54420.html (DS)
3. https://gmatclub.com/forum/a-company-ma ... 54472.html (Two-part Analysis)
4. https://gmatclub.com/forum/a-large-pet- ... 54535.html (Critical Reasoning)
5. https://gmatclub.com/forum/gaston-took- ... 54569.html (PS)
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15. https://gmatclub.com/forum/a-consulting ... 55421.html (Tables)
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17. https://gmatclub.com/forum/robust-test- ... 55423.html (TPA)
18. https://gmatclub.com/forum/granville-an ... 55439.html (RC)

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19. https://gmatclub.com/forum/for-much-of- ... 56953.html (RC)
20. https://gmatclub.com/forum/cause-relate ... 57039.html (RC)

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Problem Solving Butler: May 2025
May 1PS 1PS 2

_____________________
PS 1

If {x} denotes the least integer greater than or equal to x and {1 – x/3} = 0, which of the following can be the value of x?

A. -1
B. 0
C. 1
D. 2
E. 3
_____________________
PS 2

The function #p denotes the least integer equal to or greater than p. If #n = –1, which of the following must be true?

A. n = –1
B. –2 ≤ n ≤ –1
C. –1 ≤ n ≤ 0
D. –2 < n ≤ –1
E. –2 < n < –1
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Critical Reasoning Butler: May 2025
May 1CR 1CR 2

_______________________
CR 1

Unlike older animation software, depth-sensor enabled animation tools automatically correct errors in depth perception and perspective, allowing animators to work faster and more efficiently. Thus, replacing older animation software with depth-sensor enabled animation tools will produce an immediate reduction of animation costs.

Which of the following, if true, would most weaken the conclusion drawn above?

A. Animators who use both the older animation software and the newer, depth-sensor enabled animation tools report greater difficulty in transitioning from the depth-sensor enabled animation tools to the older software than from the older software to the depth-sensor enabled animation tools.
B. The more experienced and well-trained an animator is on older animation software, the more it costs to train that animator to use the newer, depth-sensor enabled animation tools.
C. The number of studios and artists that use depth-sensor enabled animation tools is increasing every year.
D. The newer, depth-sensor enabled animation tools are no more expensive to produce or acquire than the older animation software.
E. Novice animators can learn to use the depth-sensor enabled animation tools in approximately the same length of time it takes them to learn to use the older animation software.
_______________________
CR 2

The lawyer representing several boat owners in a class-action lawsuit argued that because there is no direct evidence that contact with the liquid exhaust produced by speedboats harms the chassis of sailboats that are well maintained, banning speedboats from the lake cannot be justified on the grounds of damaging private property.

Which criticism of the above argument, from among the following, is best?

A. It fails to consider that the chassis of sailboats can be damaged by factors other than the liquid exhaust from speedboats.
B. It fails to acknowledge that sailboats, even those that routinely come in contact with the liquid exhaust produced by speedboats, are generally better-maintained than speed boats are.
C. It does not consider the roles that material quality, design, and human error play in damage caused to a boat’s chassis.
D. It fails to take into account the possibility that the owners of well-maintained sailboats, who are made aware of the danger posed by the liquid exhaust produced by speedboats, may show greater concern regarding potential chassis damage to their sailboats.
E. It ignores how the liquid exhaust can damage the chassis of sailboats that are not well-maintained.
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Data Sufficiency Butler: May 2025
May 1DS 1DS 2

____________________
DS 1

At an animal shelter, 12 animals were available for adoption. Some were dogs, and the rest were cats. If two animals are selected at random, without replacement, is the probability that both selected animals are dogs greater than 1/3?

(1) Fewer than half of the animals were cats.
(2) The probability that one dog and one cat are selected is 16/33.

____________________
DS 2

A high school volleyball team completed its regular season last spring. If every match ended in either a win or a loss, with no ties, how many matches did the team play that season?

(1) If the team had lost 4 more matches than it actually lost, it would have won 25% of its matches.
(2) If the team had won 2 more matches than it actually won, it would have lost 50% of its matches.
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Problem Solving Butler: May 2025
May 4PS 1PS 2

________________________
PS 1

40 skilled employees need 60 days to complete a project while working in the normal work schedule of 8 hours a day. They begin working but one month into the project, 30 employees need to shift to a different project. These 30 employees are replaced by 40 new employees who are 50% less productive. How much extra time per day should the new team work to avoid any delay in the completion of the project?

A. 10 hours 40 minutes
B. 10 hours 20 minutes
C. 6 hours 30 minutes
D. 2 hours 40 minutes
E. 2 hours 20 minutes
________________________
PS 2

Circular gears X and Y start rotating at the same time at constant speeds. Gear X makes 20 rotations per minute and gear Y makes 60 rotations per minute. How many seconds after the gears start rotating will gear Y have made exactly 120 more rotations than gear X?

A. 2
B. 3
C. 120
D. 180
E. 360
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Critical Reasoning Butler: May 2025
May 4CR 1CR 2

______________________________
CR 1

The northern and southern branches of the liberal coalition have been remarkably consistent in their performance over the last four election cycles. In each cycle, the northern branch accounted for thirty percent of dollars raised in funding and fifty percent of parliamentary seats won, and the southern branch has accounted for the difference.

Regarding the past four election cycles, which of the following can properly be inferred from the statement above?

A. The southern branch has won fewer parliamentary victories per dollar raised in funding than has the northern branch.
B. The northern branch has faced stronger competition among its electorate than has the southern branch.
C. Dollars raised in funding for each of the coalition’s branches have remained approximately consistent.
D. The policies espoused by each branch have not changed.
E. Highly popular policies accounted for a higher proportion of the southern branch’s parliamentary victories than of the northern branch’s.

______________________________
CR 2

Three months ago, the governor began her public health campaign encouraging people to take advantage of the state’s many public parks and nature reserves, rather than spending time at cinemas and malls. Since then, there has been an eleven percent decrease in cinema attendance and mall foot traffic in the state and an equivalent increase in visitors to public parks and nature reserves. Clearly, the governor’s campaign has encouraged many people to venture outside rather than entertain themselves indoors.

Which of the following, if true, casts the most serious doubt on the conclusion drawn above?

A. State-wide strikes among retail workers have greatly reduced the operating capacity and utility of malls and cinemas during the last three months.
B. The governor frequently visits public parks and nature reserves herself.
C. Admission prices for all public parks and nature reserves in the state have risen by an average of seven percent over the last three months.
D. The number of public parks and nature reserves in the state is exactly the same now as it was at this time last year.
E. According to surveys, longtime visitors to the state’s public parks and nature reserves are no more satisfied with them than they were before the governor’s public health campaign began.
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