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Data Sufficiency Butler: January 2025
January 8DS 1DS 2

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DS 1

What was the percentage increase in revenue for company X between 2004 and 2006?

(1) Between 2004 and 2005, the increase was 60% and between 2005 and 2006, the increase was 25%.
(2) Revenue was $100 million in 2003 and $400 million in 2006. Revenue grew by the same amount every year during this period.

_________________________
DS 1

If it rained for twice as long on Monday as on Tuesday, and if it rained for 4 times as long on Wednesday as it did on Monday, how long did it rain over these three days- Monday through Wednesday?

(1) It rained for 30 minutes more on Monday than on Tuesday.
(2) It rained for 3.5 hours longer on Wednesday than on Tuesday.
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Critical Reasoning Butler: January 2025
January 8CR 1CR 2

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CR 1

Last month, four industrial printing presses manufactured by Hawthorne Heavy Machinery and owned by Scarlet Ink Publications broke down in an industrial accident. In response, Scarlet Ink Publications ordered four new printing presses as replacements, from Hawthorne. This decision surprised many in the publishing industry because, ordinarily when a product fails repeatedly, users do not buy that product again.

Which of the following, if true, provides the best indication that Scarlet Ink Publishing’s decision was logically well supported?

A. Although only one of Hawthorne Heavy Machinery’s printing presses broke down during the previous year, the firm’s competitors had a perfect safety record in the same period.
B. Hawthorne Heavy Machinery had to replace many of its employees because they went to work for a competing firm.
C. The Occupational Safety and Health Administration issued new guidelines for printers in order to standardize the safety requirements that govern industrial maintenance.
D. The trade union pressured two major publishers into purchasing safer printing presses so that workers would be safer while operating the machines.
E. The Hawthorne Heavy Machinery printing presses broke down due to operator error, but because of the excellent quality of the printing presses, the damage to the facilities was minimal.
_______________________________
CR 2

Some hotels in California cater almost exclusively to visiting business executives and government officials and rarely have bookings by families with children. Yet, these hotels also have strong ties with companies specializing in entertaining young children.

Which of the following, if true, best reconciles the seeming discrepancy described above?

A. The companies specializing in entertaining young children buy their materials from distributers outside of California.
B. For several weeks during the summer, these hotels become popular destinations for daylong parties hosted by large organizations for employees and their families.
C. Most guests who stay at these hotels prefer to seek entertainment elsewhere rather than at the hotel itself.
D. The few families that stay at these hotels come in groups of four to five, are friendly with one another, and share the cost of the stay.
E. Entertainment provided for young children by outside companies is as enjoyable as that provided by the hotel.
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Problem Solving Butler: January 2025
January 8PS 1PS 2

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PS 1

What are the last two digits (at tens place and units place) in the numerical value of 49^852 + 11^77 ?

A. 52
B. 60
C. 72
D. 82
E. 92

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PS 2

Suppose that x = 1/2 is the only real number that satisfies \(3^{(-2x^2 + 4Ax - \frac{9}{5})}=√27\). What is the value of A?

A. 19/5
B. 19/10
C. 19/20
D. 53/10
E. 53/20
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anyone can recommend best verbal tutor for gmat?
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Data Sufficiency Butler: January 2025
January 9DS 1DS 2

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DS 1

Last year, in Crossia, 25% of all babies were delivered in a private hospital, while 40% of all cesarean births occurred in a private hospital. Last year, in Crossia, what percentage of all births that took place in a private hospital were cesarean births?

(1) Last year, in Crossia, a total of 72,000 babies were delivered in a private hospital.
(2) Last year, in Crossia, 20% of all births were caesareans.
___________________________
DS 2

What is the average (arithmetic mean) mileage of 7 cars in a parking lot?

(1) If the 7 mileages were ordered from least to most, each would be 2.5 miles per gallon higher than the preceding car’s mileage.
(2) The range of the 7 mileages is 15 miles per gallon.
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Critical Reasoning Butler: January 2025
January 9CR 1CR 2

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Due to certain persistent limitations in the technology, many early buyers of virtual reality systems apparently lost interest in buying new virtual reality games to run on their systems. The sale of virtual reality games is still going strong because the number of homes with virtual reality systems is still growing. However, businesses distributing virtual reality games will face hard times because the market for virtual reality systems is likely to saturate soon.

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

A. The market for virtual reality systems is considered saturated only after seventy percent of all homes have at least one such system.
B. Early buyers of novel products are always quicker to acquire novelties, but also quicker to tire of them than other buyers.
C. Customer satisfaction surveys reveal that few of the early buyers of virtual reality systems had any complaints regarding this new product’s performance aspects.
D. Several games specifically designed to be played in virtual reality form a sizeable proportion of all the products handled by retailers of virtual reality games.
E. Shrinking markets generally intensify competition among businesses, leading to the failure of several marginal businesses.
___________________________
CR 2

At the time of the last census, the number of military veterans was slightly greater than the number of conservatives. Military veterans have tripled in number since then, while conservatives have increased in number, but at a lower rate than have military veterans.

Which of the following must be true if the statements above are true?

A. There are now fewer military veterans than there are conservatives.
B. The ratio between military veterans and conservatives has increased since the last census.
C. The ratio between military veterans and conservatives has decreased since the last census.
D. Every conservative is also a military veteran.
E. The ratio between military veterans and conservatives has not changed since the last census.
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Problem Solving Butler: January 2025
January 9PS 1PS 2

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PS 1

If N is a positive integer and N! is divisible by 143, what is the lowest possible value of N ?

A. 10
B. 11
C. 13
D. 142
E. 143
________________________
PS 2

If n is a positive integer and n^2 is divisible by 120, which is the highest positive integer that must divide n ?

A. 24
B. 30
C. 60
D. 90
E. 120
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Problem Solving Butler: January 2025
January 12PS 1PS 2

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PS 1

A and B are integers greater than 1 and A^3 x B is a multiple of 10. Which of the following must be a multiple of 8,000 ?

A. A*B^3
B. A^3 * B^3
C. A^3 * B^6
D. A^6 * B^3
E. A^6 * B^6

_________________________
PS 2

What are the last two digits (at tens place and units place) in the numerical value of the following product?

7249 x 5772 x 5313 x 7775 x 8263 x 317 x 9937

A. 00
B. 10
C. 30
D. 50
E. 90
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Critical Reasoning Butler: January 2025
January 12CR 1CR 2

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Astronomical data gathered by the Hubble Space Telescope suggests that yellow, medium-sized stars similar to the sun form less than ten percent of the stars in the Milky Way. Of over 75 million catalogued stars in the core of the Milky Way, where the density of stars is much higher than that in any of the arms, almost all are much larger red stars.

Which of the following, if true, would most weaken the above justification of the claim that stars similar to the sun form less than ten percent of the stars in the Milky Way?

A. There are billions of stars in regions of the Milky Way that the Hubble Space Telescope has not observed.
B. The Hubble Space Telescope would have detected any smaller stars similar to the sun in the regions of the Milky Way in which larger stars have been detected.
C. Even a large star that exists in one of the arms of the Milky Way is not as easily detected by the Hubble Space Telescope as a similar-sized star in the core of the Milky Way is.
D. The current, most accurate astronomical theories predict that almost all stars in the core of the Milky Way are millions of times larger than the sun.
E. The smaller a star is relative to the size of others in its region of the Milky Way, the more difficult it is for the Hubble Space Telescope to detect.

________________________
CR 2

Which of the following most logically completes the argument given?

Those who live in isolated agrarian communities, such as the Amish, tend to only eat what is produced locally and consume very little sugar. Few such people develop dental problems, and they do not require dentures in their old age, as is common in more urban areas. However, when such people move to urban areas and adopt high-sugar diets, they often do develop dental problems. Though they are suggestive, these facts do not prove that sugar is what causes dental problems, however, as, ____________.

A. the fact that such people do not need dentures in their old age can be accounted for by genetic factors
B. when such people move to an urban area, they make other changes in their diets as well
C. one can maintain a low-sugar diet while living in an urban area
D. people eating high-sugar diets and living their whole lives in urban areas have a general tendency to develop dental problems.
E. sugar is necessary for human life; one can die if one consumes absolutely no sugar
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Data Sufficiency Butler: January 2025
January 12DS 1DS 2

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DS 1

In a group, the ratio of the number of women to the number of children is 7:2. What is the number of men in the group?

(1) The ratio of the number of children to the number of men is 3:5.
(2) The number of children in the group is between 10 and 15.
______________________
DS 2

The table lists five states and their total 2012 revenue, in millions of USD, from tourism – a category that includes hotel stays.



Which of these states earned the most, in 2012, from hotel stays?

(1) For each of the two states with the highest revenue from tourism, earnings from hotel stays were more than 15% of that state's total revenue from tourism.
(2) For each of the three states with the lowest revenue from tourism, earnings from hotel stays were less than 10% of that state's total revenue from tourism.
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anyone has taken crack verbal course? pls its urgent
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Hello, I just started the 13 week study plan. I already finished my first week, but the SATs questions are very difficult. Instead of that questions, where can I find a bunch of easy questions to start? (Other than the official guide). Thanks!
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ignaciacontreras
Hello, I just started the 13 week study plan. I already finished my first week, but the SATs questions are very difficult. Instead of that questions, where can I find a bunch of easy questions to start? (Other than the official guide). Thanks!
You can filter according to what you prefer on the gmat club - like sub 505, 605-705 and more such filters.
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Problem Solving Butler: January 2025
January 13PS 1PS 2

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PS 1

p, q, r, s are positive integers. When p is divided by q, the remainder is 6; when r is divided by s, the remainder is 11. Which of the following is the least possible value of q + s?

A. 15
B. 16
C. 17
D. 18
E. Greater than 18
_________________________
PS 2

What is the highest integer k for which 1260^k perfectly divides 500! ?

A. 123
B. 82
C. 81
D. 1
E. 0
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Critical Reasoning Butler: January 2025
January 13CR 1CR 2

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CR 1

Looking to bolster the domestic luxury cars industry, a member of parliament has introduced a bill that would levy additional taxes on the import of luxury cars. The reasoning behind the bill is that the taxes will raise the prices of foreign luxury cars above those of the luxury cars by their domestic counterparts, prompting consumers to buy luxury cars produced domestically instead.

Which of the following statements, if true, provides the strongest evidence that the reasoning put forward by the member of parliament is flawed?

A. Projected increases in the price of international shipping will increase the cost of importing luxury cars.
B. Each year, the imports of luxury cars account for thirty percent of the total sales amount from luxury cars sold in the country.
C. Most of the wholesalers currently dealing only in domestic luxury cars cannot afford to import foreign ones.
D. Some wholesalers of imported luxury cars are willing to pay the additional taxes for importing luxury cars.
E. Regular upkeep of imported luxury cars is already significantly more expensive than that of domestic luxury cars.
______________________
CR 2

People tend to evaluate the importance of a public issue according to its salience, meaning people are more likely to think that an issue is important if it comes to their attention frequently and in an aggressive manner. By volume of discussion and due to selection bias, social media emphasizes issues that are relatively frivolous but eye-catching over relatively more serious but non-sensational issues.

It can be concluded on the basis of the statements above that, if they are true, which of the following is most probably also true?

A. The language used on social media to describe relatively frivolous issues is sensationalist and fails to accurately respect the traditional boundaries of news coverage.
B. Those who discuss public issues on social media tend to overestimate the importance of relatively frivolous but eye-catching issues compared to serious but non-sensational ones.
C. Discussion on serious but non-sensational issues is neglected on social media in favor of discussion on frivolous but eye-catching issues.
D. None of the issues concerning other people that are discussed on social media is so salient in people’s minds as their own personal issues.
E. Social media is the medium that focuses people’s attention most strongly on frivolous issues.
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Data Sufficiency Butler: January 2025
January 13DS 1DS 2

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DS 1

Cars A and B are stationed in “Townville” and “Cityburg”, respectively. The two cities are connected by parallel highways and are 100 miles apart. The two cars begin their journeys simultaneously, moving in opposite directions, each heading towards the other car’s point of departure. If the two cars cross each other after 30 minutes, which car is closer to its destination city at the point of crossing?

(1) Car B averaged a speed of 40 miles per hour for the entire trip.
(2) When the two cars crossed each other, car A had averaged a speed of 80 miles per hour.

_______________________
DS 2

The average duration of Rasmus’s commute across Monday, Tuesday, and Wednesday was 3 hours. What was the median length of Rasmus’s commute over the three days?

(1) On Tuesday, Rasmus’s commute took 3 hours.
(2) On Monday, Rasmus’s commute took 2.5 hours.
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