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Discussed here: https://gmatclub.com/forum/brian-writes ... 93612.html
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Data Sufficiency Butler: September 2025
September 26DS 1DS 2

___________________________________
DS 1

The total cost for an Air Conditioner consists of the cost of the Air Conditioner and the cost of installation. A fixed sales tax of 10% is charged on both the cost of the Air Conditioner and the installation cost. If the cost of the Air Conditioner, excluding sales tax, was $600, what was the total amount for the Air Conditioner and the installation including sales tax?

(1) The sales tax on the installation cost was $6.
(2) The total sales tax was $66.
___________________________________
DS 2

In which year was Chris born?

(1) Chris’s brother, Kevin, who is 5 years older than Chris, was born in 1990.
(2) In 2007, Kevin turned 17 years old.
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Critical Reasoning Butler: September 2025
September 26CR 1CR 2

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CR 1

The mayor of Newtown is up for re-election in a month’s time and is extremely apprehensive of his chances. According to a recent survey conducted by a news channel in Hampstead, Newtown’s most populous suburb, more than 80 percent of the respondents stated that they would not vote for the current mayor.

The mayor’s apprehensions are based on which of the following assumptions?

(A) The people who were part of the survey will in no case change their mind.

(B) The opinion of the residents of Hampstead is a pretty accurate representation of the opinion of the residents of Newtown as a whole.

(C) The mayor was recently involved in a corruption scandal that received a lot of negative publicity in the print media.

(D) The mayor did not do enough to help the victims of the hurricane that struck Newtown last year.

(E) In the last three elections for the post of the mayor in Newtown, the incumbent mayor has never been re-elected to office.
________________________________________
CR 2

According to a nationwide survey of college students, 70% of the students who major in Science in high school were likely to pursue an engineering degree in college. Interestingly, according to the same survey, 70% of the students pursuing an engineering degree in college had not majored in science in high school.

Which of the following inferences is best supported from the above statements?

(A) The number of students who studied science in high school is the same as the number of students who are pursuing an engineering degree in college but who did not major in science in high school.

(B) There are more students pursuing science in high school than there are students pursuing science in colleges in the country.

(C) A student’s major in high school has no impact on the specialization she chooses to pursue in college.

(D) There are more students pursuing an engineering degree who had taken up a nonscience major in high school than there are students pursuing an engineering degree who had majored in science in school

(E) 30% of the students pursuing an engineering degree in the country had taken up a non-science major in high school.
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Problem Solving Butler: September 2025
September 26PS 1PS 2

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PS 1

M and N start at the same time from two ends S and T, at speeds of 3 m/sec and 4 m/sec towards each other, ST being 7 m. After reaching the opposite ends, they retrace their path and start moving towards each other. What is the total distance travelled by M when he meets N for the second time?

A. 26 m
B. 20 m
C. 15 m
D. 9 m
E. 8 m
_________________________________
PS 2

In a stockpile of products produced by three machines M1, M2 and M3, 40% and 30% were manufactured by M1 and M2 respectively. 3% of the products of M1 are defective, 1% of products of M2 defective, while 95% of the products of M3 are not defective. What is the percentage of defective in the stockpile?

A. 2.5%
B. 3%
C. 5%
D. 5.5%
E. 6%
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Critical Reasoning Butler: September 2025
September 29CR 1CR 2

____________________________________
CR 1

A study of 1000 American citizens has found that 70 per cent of them would not work for a company with bad reputation even if they were unemployed and that nearly 90 per cent of them would consider leaving their current jobs if they were offered another role with a company that had an excellent corporate reputation. Of those willing to work for a company with a bad reputation, the research found that, on average, it would take doubling an employee’s salary for them to make such a jump.

If the statements above are true, which of the following conclusions is most strongly supported by them?

(A) At least 10% of the people in the survey would not mind working for a company with a bad reputation but would also consider leaving their current jobs to join another company with excellent corporate reputation.

(B) The survey is representative of the worker pool across the United States.

(C) At least 25% of the people in the survey would agree to do an unethical act if their salary was substantially increased.

(D) For US workers, higher salary takes precedence over the reputation of the company they work for.

(E) If a company in the US expects to attract the best talent, it must either have an excellent corporate reputation or be ready to pay high salaries.
____________________________________
CR 2

A recent survey of buyers of luxury cars in Beecham city has revealed that males who are
between 40 and 50 years of age and who live in the Southern part of the city are more likely to buy these cars than is any other demographic group in the city. Maxpages is a magazine that contains articles primarily relevant to males in the age group of 40 to 50 years and is circulated only in the Southern part of Beecham city. Using the findings of this survey, Terence, who owns two luxury car showrooms in Beecham city, has decided to advertise in the Maxpages magazine.

Which of the following would be most useful to know in determining whether Terence should advertise in the Maxpages magazine?

(A) What is the exact number of luxury cars that were sold in all of Beecham city in the last one year?

(B) What percent of the total car market is the luxury car market in Beecham city?

(C) Do women and children play a major role in determining which luxury car to buy?

(D) Is the luxury car market in Beecham city expected to grow over the next few years?

(E) Would it be cheaper to advertise in some other magazine that is targeted at people of all age groups?
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Problem Solving Butler: September 2025
September 29PS 1PS 2

_______________________________________
PS 1

A precious stone worth $10872 fell and broke into three pieces, the weights of which are proportional to 1 : 2 : 3. The value of each stone is directly proportional to the square of its weight. What is the loss in the value caused by the breakage?

(A) $3624
(B) $4228
(C) $6644
(D) $7510
(E) $8980
_______________________________________
PS 2

Amar, Akbar and Antony are three students in a class of 9 students. A class photo is taken. The number of ways in which it can be taken such that no two of Amar, Akbar and Antony are sitting together is:

(A) 120960
(B) 151200
(C) 181440
(D) 241920
(E) 345750
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Data Sufficiency Butler: September 2025
September 29DS 1DS 2

_________________________________
DS 1

If it rains during a guest's stay at holiday resort X, the management refunds the price of the guest's room for each day it rains. How many guests received a refund last June?

(1) It rained on \(\frac{1}{15}\) of the days in last June

(2) 720 guests stayed at the hotel last June
_________________________________
DS 1

In a class of 120 students, how many passed in only one subject?

(1) 70 students have passed in English.
(2) 80 students have passed in Mathematics.
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