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Problem Solving Butler: May 2025
May 4PS 1PS 2

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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

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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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Data Sufficiency Butler: May 2025
May 4DS 1DS 2

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DS 1

At a delivery depot, some parcels currently loaded onto Van Cedar are moved to Van Maple before the vans leave for their routes. If no other parcels are added to or removed from either van, then after the transfer, will Van Cedar have more parcels than Van Maple?

(1) After the transfer, Van Cedar will have 33 1/3% fewer parcels than it had before the transfer.
(2) After the transfer, Van Maple will have 100% more parcels than it had before the transfer.

_____________________
DS 2

A vending machine dispenses one drink at random from 48 drinks stocked inside. Each drink is either Coke or Pepsi, and each drink is either bottled or canned. What is the positive difference between the probability that the drink dispensed is a canned Pepsi and the probability that the drink dispensed is a bottled Coke?

(1) 28 of the drinks are Coke, and half of the 48 drinks are bottled.

(2) 9 of the drinks are bottled Pepsi.
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I am looking for a study partner for daily sync up and accountability but not interested in the group study. So, if anyone seriously studying and interested, please DM me. I am planning exam for july end.
Sure, let’s do!
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Problem Solving Butler: May 2025
May 5PS 1PS 2

______________________
PS 1

If x is positive, which of the following may be the correct ordering of \(\frac{1}{x}\), \(x\), \(x^2\), \(x^3\) ?

I. \(\frac{1}{x} < x < x^2 < x^3\)

II. \(\frac{1}{x} < x^3 < x^2 < x\)

III. \(x^3 < x^2 < x < \frac{1}{x}\)

A. I only
B. II only
C. I and II only
D. I and III only
E. I, II, and III

______________________
PS 2

If |x| > 5 – 2x, which of the following represents the correct range of values of x ?

A. x > 5/3
B. x > 5
C. 5/3 < x < 5
D. -5 < x < -5/3
E. No such real value of x exists
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Critical Reasoning Butler: May 2025
May 5CR 1CR 2

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CR 1

Over the last fifteen years, the consumption of beef has decreased significantly in many parts of the world. This decrease has coincided with an increasing public awareness of the adverse environmental effects of cattle ranching. Thus, the decrease in beef consumption must have been caused by the consumers’ awareness of the environmentally damaging effects of cattle ranching.

Which of the following, if true, most seriously calls into question the explanation above?

A. On average, people consume twenty percent less beef today than they did fifteen years ago.
B. Habitual beef eaters may suffer mild gastrointestinal distress for a few weeks or so after significantly reducing their beef consumption.
C. Beef prices increased steadily in the last fifteen years because of the degradation of land used to graze cattle.
D. The consumption of poultry, fish, and other forms of seafood has increased over the last fifteen years.
E. Gourmet beef sales have held steady as sales of regular beef have declined.
________________________
CR 2

A promising student of taekwondo once asked his coach how long it would take him to earn his black belt, signifying the end of his training. Thinking carefully, the coach replied, “If you practice three hours a day for six days a week, you could earn your black belt in five years.” Unhappy, the student asked, “What if I practice eight hours a day, every day?” The coach then said, “If you do so, you will probably never move beyond a blue belt.”

The main point that the coach makes here is that in martial arts, a critical value is

A. curiosity
B. patience
C. dedication
D. vigor
E. resolution
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Problem Solving Butler: May 2025
May 5PS 1PS 2

_____________________
PS 1

At two specialty food stalls, Green Market and Riverside Market, the prices per kilogram of almonds, walnuts, and pecans were as follows:

Green Market Riverside Market
Almonds $14 $16
Walnuts $16 $18
Pecans $18 $20

Marcus bought certain quantities of almonds, walnuts, and pecans at Riverside Market. How much money would he have saved if he had bought those same quantities at Green Market instead?

(1) The total weight of nuts Marcus bought was 4.5 kilograms.

(2) For every 2 kilograms of walnuts Marcus bought, he bought 3 kilograms of pecans and 5 kilograms of almonds.
_____________________
PS 2

At a certain car dealership, what percent of the cars both weigh more than 1,800 kilograms and cost more than €40,000?

(1) 55% of all the cars at the dealership weigh more than 1,800 kilograms.

(2) Of the cars at the dealership that weigh more than 1,800 kilograms, 20% cost more than €40,000.
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