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

______________________________
PS 1

For how many values of \(x < 0\) does the equation \(0.1x^4 – 0.5x^2 – 1.4 = 0\) hold?

A. 0
B. 1
C. 2
D. 3
E. 4

_____________________________
PS 2

Find the number of ways in which 5 boys and 5 girls be seated in a row such that no two girls may sit together.

A. 35,400
B. 86,400
C. 28,800
D. 85,000
E. 25,000
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Critical Reasoning Butler: June 2025
June 4CR 1CR 2

_________________________________
CR 1

Over the last few years that he has been traveling by the subway, Ricky has made an interesting observation. Every time the train is late by more than six minutes, it gets extremely crowded and Ricky finds it impossible to get a seat. In the last 6 years, it has never happened that the train arrived more than six minutes late and Ricky could find a place to sit.

Which of the following conclusions can most properly be drawn from the above statements?

(A) The number of people traveling by the subway has increased several times over the last few years.

(B) If the train comes on time, Ricky will definitely get a place to sit.

(C) If Ricky does not find a seat in the train, it must have arrived more than six minutes late.

(D) The Transport Authority needs to urgently increase the frequency of subway trains.

(E) If the train arrives more than six minutes late, Ricky will most likely not find a place to sit.

_________________________________
CR 2

Researchers have long been trying to understand why the consumption of opium makes one sleepy. A group of researchers has recently concluded that opium is sleep inducing because it has soporific qualities.

Which of the following parallels the flaw in the reasoning above?

(A) The student performed poorly in the test because he did not study for it.

(B) It is dark at night because of the absence of the sun.

(C) The new car has a powerful engine so it must also have powerful brakes.

(D) Airplanes are able to fly because of their aerodynamic shape.

(E) The price of a company’s stock has not appreciated because the company’s stock price has remained stagnant.
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Data Sufficiency Butler: June 2025
June 4DS 1DS 2

________________________________
DS 1

Grass on a lawn grows everyday by a fixed percent of the height on the previous day. However, cows graze and reduce the height of the grass by 1 mm every day. What was the height of the grass on the first day before the cows started grazing? Assume that the cows graze at the end of the day, after which the grass grows in the beginning of the next day.

(1) The grass grows every day by 2 percent of the height on the previous day.
(2) The grass is completely grazed in 3 days.

_________________________________
DS 2

Three machines, a, b, c, individually can do a certain job. What is the greatest part of that job that can be done in one hour by two of the machines working together at their respective rates?

(1) Machine a can complete the job in 5 hours.
(2) Machine b can complete the job in 7 hours.
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Quote:

*Bunuel writes:*
New MSR question to practice: topic-445929.html#p3577939
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Pratik.jadhav
Quote:

*Bunuel writes:*
New MSR question to practice: https://gmatclub.com/forum/topic-445929.html#p3577939

This question is discussed here: https://gmatclub.com/forum/in-a-certain ... 46325.html Hope it helps.
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Plz give me a quiz on assumption based questions of critical reasoning
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Data Sufficiency Butler: June 2025
June 5DS 1DS 2

__________________________________
DS 1

At Ansel's AutoMall last year, the revenue in January was 7.5% of the annual revenue, and the revenue in February was 4.5% of the annual revenue. What was the annual revenue for Ansel's AutoMall last year?

(1) The revenue in February of last year was 1.5 million dollars less than that in January.
(2) The total revenue in January and February of last year was 6 million dollars.

_________________________________
DS 2

What is the average speed of an automobile as it travels the 300 miles between city A and city B ?

(1) The automobile averages 50 miles per hour for the first three hours.
(2) The automobile averages 45 miles per hour for the last three hours.
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Critical Reasoning Butler: June 2025
June 5CR 1CR 2

________________________________
CR 1

The recent increase in the number of accidents related to bungee jumping has led to a lot of people asking for a ban on bungee jumping. Opponents of the ban argue that it is a personal choice whether someone wants to indulge in bungee jumping and the constitution guarantees every individual’s right to freedom. They assert that as long as nobody else is getting harmed, an individual should be allowed to indulge in bungee jumping.

Which of the following most strengthens the argument made by the opponents of the ban?

(A) Bungee jumping is safer than other activities such as free style rappelling or zip lining.

(B) The operating licenses of a lot of bungee jumping companies have been cancelled after incidents of accidents were reported from these companies.

(C) Most accidents related to bungee jumping happen because of a weak or defective bungee cord.

(D) In the more than 400 documented accidents connected to bungee jumping, nobody other than the person making the jump has ever got injured.

(E) Bungee jumping companies can be allowed to operate as long as they implement some new safety measures.

________________________________
CR 2

Banker: Our asset quality is fairly strong and has been improving in the past few quarters.

But given our size, we cannot afford to allow any of our large accounts to turn nonperforming. It would create havoc for us.

Which of the following must be true on the basis of the statements made by the banker above?

(A) The bank in question must be a small sized bank.

(B) If any of the bank’s accounts become non-performing, the bank will go bankrupt.

(C) The bank does not mind if any of its smaller accounts turn non-performing.

(D) The bank used to have assets of a poor quality a few quarters back.

(E) One of the important factors that will determine the bank’s performance is the quality of its large accounts.
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Problem Solving Butler: June 2025
June 5PS 1PS 2

_______________________________
PS 1

In a factory, 4 machines of type A and 6 machines of type B can produce 800 units of a product P in x hours working simultaneously at their respective constant rates. 8 machines of type A can produce the same number of units in y hours. How much time will 3 machines of type B take to produce the same number of units of Product P?

(A) \(\frac{2y}{y-x}\)

(B) \(\frac{2x}{2y-x}\)

(C) \(\frac{2xy}{y-x}\)

(D) \(\frac{2xy}{2y-x}\)

(E) \(\frac{4xy}{2y-x}\)

________________________________
PS 2

Al is twice as old as Bill. Five years ago, Al was three times as old as Bill. How old is Al?

A) 6
B) 10
C) 15
D) 20
E) 30
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will og alone help me score 705 ?
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Yes
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Can you help us for providing a study plan and approach for getting a good score like 705 using og alone
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