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Problem Solving Butler: July 2026
July 31PS 1PS 2

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PS 1

Fred and George were contesting an election that is held on a Sunday from 9am to 5pm. The ratio of the votes given to Fred and George till 2pm, was in the ratio 3: 4. There were still 300 voters left to vote. If all the remaining voters voted for Fred by 5pm, then the ratio of votes given to Fred and George would become 9: 8. Find out how many votes were given to both Fred and George after everyone had voted.

A. 1700
B. 2400
C. 3800
D. 4200
E. 4500
_______________________
PS 2

If x > 0, What is the least possible value of \(-2√(5x) + x + 9\) ?

A. 0
B. 1
C. √5
D. 4
E. 9
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Critical Reasoning Butler: July 2026
July 31CR 1CR 2

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CR 1

­The government of Country X recently enacted legislation that eliminated property tax credits for homeowners who purchase solar water heaters. Due to this change, solar water heater sales in Country X, which have tripled over the past three years, will likely slow drastically within the next two years.

Which of the following statements, if true, most weakens the conclusion reached above?

A. The majority of homeowners in Country X do not own a solar water heater.
B. Home energy prices are not expected to change over the next two years.
C. Solar water heaters are known to have less heating capacity than traditional water heaters.
D. Most consumers in Country X who purchased solar water heaters over the last three years were unaware of the tax credit.
E. Economic research has found that solar water heaters are more expensive to keep up and replace than are traditional water heaters.
________________________
CR 2

­In a survey of undergraduates, two-fifths admitted to having cheated on an exam at least once during their education. However, the survey may underestimate the proportion of undergraduates who have cheated, because ____________.

Which of the following best completes the passage above?

(A) some undergraduates who have cheated at least once might have claimed on the survey never to have cheated

(B) some undergraduates who have never cheated might have claimed on the survey to have cheated

(C) some undergraduates who claimed on the survey to have cheated at least once may have cheated on multiple occasions throughout their education

(D) some undergraduates who claimed on the survey to have cheated at least once may have been answering honestly

(E) some students who are not undergraduates have probably cheated at least once during their education
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Data Sufficiency Butler: July 2026
July 31DS 1DS 2

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DS 1

­A certain parking lot contains only cars and vans. If the parking lot has 120 spaces, how many of them are empty?

(1) The ratio of the number of empty spaces to vans to cars in the parking lot is 3:1:8
(2) The number of spaces occupied by cars is two thirds of the total number of spaces

______________________
DS 2

­A ship's hold is loaded only with barrels of salted herring, weighing 250 pounds each, and cases of crackers, weighing 75 pounds each. What is the total weight of the cargo in the hold?

(1) There are 251 barrels of salted herring and twice as many cases of crackers.

(2) This ship carries 5 pounds of salted herring for every 3 pounds of crackers.
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Hi everyone!

Sharing details of a GMAT Quant resource that may be helpful for those preparing for the exam.

GMAT Quant Topic-wise Practice Compendium

Designed to make your Quant preparation more structured and efficient, the compendium includes:

• 10+ core GMAT Quant topics
• Topic-wise formulas and key concepts
• 15+ questions for each topic
• Easy, Medium & Hard level practice
• Detailed solutions

The compendium is designed to help you revise concepts systematically and practice high-quality questions across all difficulty levels in one place.

If you’re interested in getting a copy or would like to know the pricing, please DM me.

Thanks, and all the best with your GMAT preparation!
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hi everyone.. need a quick help.. has anyone tried egmat sectionals.. how r they..any reviews regarding this please

it shows 90 sectionals.. are they good or similar to the real gmat
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You can try it for free yourself for some days Tushita and compare to OG . Any test series that goes within the range of OG is perfect.
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Problem Solving Butler: August 2026
August 3PS 1PS 2

______________________
PS 1

The sum of the roots of a quadratic equation is 2 and the sum of their cubes is 26. What is the equation?
A. \(x^2 - 2x - 3 = 0\)
B. \(x^2 + 2x - 3 = 0\)
C. \(x^2 - 2x + 3 = 0\)
D. \(x^2 + 2x + 3 = 0\)
E. \(x^2 - 2x - 1 = 0\)

______________________
PS 2

If x = 31! – 18, then x is divisible by which of the following

I. 6
II. 9
III. 12

A. I only
B. II only
C. III only
D. I and II
E. I, II and III
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Critical Reasoning Butler: August 2026
August 3CR 1CR 2

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CR 1

­In Country X in 1996, 84% of political donations from businesses came from those with annual sales of over $100 million. In that same year, 24 companies in the software industry, all of which had shown increases in the valuation of their stock of over 40% in the preceding year, accounted for 19% of business political donations.

If the above statements are true, which of the following must also be true?

(A) Computer companies made more political donations than did pharmaceutical companies.
(B) At least one of the businesses with annual sales of over $100 million showed an increase in the value of its stock in 1995.
(C) Most software companies had sales of less than $100 million in 1995.
(D) Individual contributions accounted for 16% of all political campaign contributions.
(E) The stock of most businesses with annual sales over $100 million did not increase by over 40% in 1996.
_________________________
CR 2

­A local councilman has proposed a “sin tax” on alcoholic beverages served in area bars. The councilman believes that since the amount of the tax alone will exceed the cost of most non-alcoholic beverages, many people will switch from alcohol to other beverages.

Which of the following statements, if true, would most clearly indicate a vulnerability in the councilman’s argument?

A. Both beer and hard liquor will be taxed under the councilman’s proposal.
B. The cost of alcoholic beverages is already considerably higher than that of any non-alcoholic beverage.
C. Many people abstain from alcohol for moral or religious reasons.
D. The “sin tax” should apply to cigarettes instead because smoking causes more preventable deaths than does alcohol.
E. Many bar patrons consume more alcohol on days when they are paid.
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Problem Solving Butler: August 2026
August 3DS 1DS 2

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DS 1

­A local group working to get signatures for a petition to pass a new ordinance lists all signers in their database as either “residents” or “non-residents”. If the ratio of residents to nonresidents in the database is 3 : 5, how many signers are currently listed as non-residents in the database?

(1) If the next six signers are all residents, the ratio of residents to nonresidents in the database will be 1 : 1

(2) If three signers had been incorrectly assigned and were nonresidents rather than residents, the ratio of residents to nonresidents in the database would be 1: 3 once this was corrected.
________________________
DS 2

There are 50 people in Company X. If 12 of the people quit, how many women will there be in Company X?

(1) Of the people who quit, the ratio of the number of men to women is 5 : 1.
(2) Of the 50 people in the company, the ratio of the number of men to women is 1 : 1.­
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