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dhilavikash
9 minus part I don’t understand
since the 6th digit can be any number from 0-9, for the 7th you have to subtract that number from 9 to get the 7th digit. for example, if the 6th digit is 9, then the 7th is 9-9=0, or if the 6th is 8, then 9-8 =1 for the 7th digit and so on
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Quote:

*jeffn sends image:*
Great question
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Critical Reasoning Butler: December 2025
December 3CR 1CR 2

_____________________________________
CR 1

Four patients taking the sleeping pill SleepSoon, manufactured by DrugRite, died during a six-month period, yet the government health agency of Country X decided not to remove SleepSoon from the market. Many industry observers were surprised, since the death of so many patient staking a particular drug will often lead to the drug’s being removed from the market.

Which of the following, if true, provides the best indication that the government health agency’s decision was logically well supported?

A. In the previous two-year period, twelve patients taking SleepSoon died, while only two patients taking other sleeping pills died during the same time period.

B. The deaths of the patients taking SleepSoon were found to be unrelated to the sleeping pill SleepSoon.

C. The government health agency of Country X issued new guidelines for drug companies to help standardize the safety criteria that a drug must meet prior to being placed on the market.

D. Consumer groups lobbied for legislation requiring drugs to meet stricter safety standards before being placed on the market.

E. Many DrugRite employees left the company for jobs at other drug manufacturers
_____________________________________
CR 2

The Smithtown Theatre, which stages old plays, has announced an expansion that will double its capacity along with its operating costs. The theatre is only slightly profitable at present. In addition, all of the current customers live in Smithtown, and the population of the town is not expected to increase in the next several years. Thus, the expansion of the Smithtown Theatre will prove unprofitable.

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

(A) A large movie chain plans to open a new multiplex location in Smithtown later this year.

(B) Concession sales in the Smithtown Theatre comprise a substantial proportion of the theatre's revenues.

(C) Many recent arrivals to Smithtown are students that are less likely to attend the Smithtown Theatre than are older residents.

(D) The expansion would allow the Smithtown Theatre to stage larger, more popular shows that will attract customers from neighboring towns.

(E) The Board of the Smithtown Theatre often solicits input from residents of the town when choosing which shows to stage.
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Data Sufficiency Butler: December 2025
December 3DS 1DS 2

_____________________________________
DS 1

A fruit stand sells apples, pears, and oranges. If oranges cost $ 0.50 each, then what is the cost of 5 oranges, 4 apples, and 3 pears?

(1) The cost of 1 apple is $ 0.30.
(2) The cost of 8 apples and 6 pears is $ 3.90.
_____________________________________
DS 2

At a certain fitness center, are more than 1/6 of the members over 30 years of age?

(1) Exactly 60 percent of male members are over 20 years of age, and of these, 3/5 are over 30 years of age.

(1) Exactly 15 female members are over 30 years of age.
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Problem Solving Butler: December 2025
December 3PS 1PS 2

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PS 1

Torry has submitted 2/5 of his homework assignments, and he received an average grade of 75 for those assignments. If he wishes to receive an average grade of 90 for all his homework assignments, the average grade for Torry's remaining homework assignments must be what percent greater than the average grade for the assignments he has already submitted?

A. 15%
B. 20%
C. 25%
D. 33 1/3%
E. 40%
____________________________________
PS 2

There are 100 marbles in a jar. Forty of the marbles are black and 60 are white. What is the probability of getting at least one black marble in three consecutive picks, with replacement of the marble each time?

A. 0.216
B. 0.316
C. 0.500
D. 0.684
E. 0.784
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I believe the answer to PS1 is D, and the answer to PS2 is E
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Yes. I also had the same answer.
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https://www.youtube.com/watch?v=YaZfTotaKBk
Learn to Solve Graphical Interpretation & Table Analysis Questions with Correlation Method - Join Data Insights YouTube Class with eGMAT Instructor, Trishala Punjabi
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Is the answer for DS 1 B and for DS 2 E?
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Critical Reasoning Butler: December 2025
December 4CR 1CR 2

______________________________________
CR 1

In 1997, the evening adult education program at Bresgin University experienced a large decrease in enrollment by hotel and restaurant professionals—formerly a large segment of the program’s students. The administration believes the drop is probably due to an increase in tuition for those courses that receive degree credit, since the program had previously charged the same tuition for credit and non-credit courses.

Which of the following, if feasible, offers the best prospects for alleviating the decrease in enrollments for the evening adult education program, if the administration is correct?

A. Establish job-placement programs for students in courses relevant to hotel and restaurant professionals.

B. Conduct a publicity campaign to educate hotel and restaurant professionals on the benefits of adult education.

C. Offer credit courses in subjects relevant to hotel and restaurant professionals at the same price charged for non-credit courses.

D. Eliminate the disparity in the cost between credit and non-credit courses by increasing the price of the non-credit courses.

E. Establish a degree program made up entirely of credit courses from the evening adult education program.
______________________________________
CR 2

Deep vein thrombosis is a medical condition characterized by painful and often life-threatening clogs in the veins. Researchers who examined 180 people with recurrent deep vein thrombosis and 200 without this ailment found that those with high levels of homcysteine, an amino acid,were three times more likely to have deep vein thrombosis than were those with average homocysteine levels. Based on these results,physicians recommend that people with high homocysteine levels increase their consumption of folate, a nutrient that reduces clotting by lowering levels of homocysteine.

Which of the following, if true, most indicates that the physicians’ recommendation, if acted upon, would have the desired result?

A. Those in the study with deep vein thrombosis also had irregular levels of several other amino acids.

B. People who consume high amounts of folate-rich foods such as orange juice, spinach,and broccoli have been shown to have below-average homocysteine levels.

C. People whose daily consumption of folate is less than that recommended by physicians are more prone to heart attacks and strokes than are people who consume there commended daily allowance of this nutrient.

D. If the clogs caused by deep vein thrombosis are left untreated, they may eventually lodge in the lungs and cause sudden death.

E. In a series of large, well-designed medical studies, the consumption of high levels offolate has not been associated with any serious health risks.
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Data Sufficiency Butler: December 2025
December 4DS 1DS 2

________________________________________
DS 1

At a particular university with 200 students 30% receive loans and 40% receive scholarships. What percent of the students receive neither scholarships nor loans?

(1) No one received both scholarships and loans.
(2) 60 students received loans.
________________________________________
DS 2

At a particular university with 200 students 30% receive only loans and 40% received only scholarships. What percent of the students receive neither scholarships nor loans?

(1) The same percentage of people who received neither scholarships nor loans received both scholarships and loans.
(2) The university spent twice as much money on loans as on scholarships
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