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In this question, what would be the prob. if the 5 tie cases were included as well?
Im getting 3/5.
1/2 would be the answer
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Quote:

*db14 writes:*
> In this question, what would be the prob. if the 5 tie cases were included as well?
> Im getting 3/5.
1/2 would be the answer
1/2 is for no-ties cases.

Quote:

1/2 is for no-ties cases.
I believe 5 tie cases would be added in the N and in the D, which will result in (10+5)/(20+5) = 3/5.
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Problem Solving Butler: May 2025
May 26PS 1PS 2

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PS 1

Palindrome is a number that reads the same right to left as it does left to right. For example: 2332. How many five–digit numbers are palindromes?

A. 450
B. 900
C. 1000
D. 1200
E. 1800

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PS 2

An arithmetic progression is one wherein each subsequent term is the sum of the preceding term and a constant. If a, b, c, d, e, f, g, and h are eight integers in arithmetic progression with four of these terms being odd, which of the following may be true about the eight integers?

I. The average is not an integer.
II. The median is not an integer.
III. The sum of the average and median is an even integer.

A. I only
B. II only
C. I and II only
D. I and III only
E. I, II, and III
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Critical Reasoning Butler: May 2025
May 26CR 1CR 2

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CR 1

Dog breeders do not typically look to breed dogs that have unique appearances or exceptional intelligence, as there is little demand for such dogs. The only dog-owners willing to pay for dogs that have been bred to possess a unique combination of traits are those who intend to compete in dog shows. Therefore, innovation in dog-breeding is limited by what dog-show organizers consider attractive attributes.

Which of following is an assumption made in drawing the conclusion above?

A) The market for typical dog breeds cannot expand unless the market for specially bred dogs expands.
B) Dog breeding methods are likely to be improved more as a result of innovations developed by independent breeders than as a result of innovations developed by large pet companies.
C) Dog show organizers do not consider the possibilities offered by advanced breeding techniques when they determine what traits they find attractive in a dog.
D) Dog breeders lack interest in innovation primarily because they desire to breed dogs that can be reared easily by the average pet owner.
E) Dog show competitors do not produce a strong demand for innovations other than what is considered attractive by dog show organizers.

_______________________
CR 2

Last year the total amount of bonuses offered by Xio Technologies reached a historic peak, and many are wondering if that record will be surpassed this year. Now, any bonus is received either by existing employees during their annual appraisals or by new employees in the form of a joining bonus. This year, the management has not been as generous in awarding annual bonuses as it was last year. Additionally, the recruitment calendar for this year indicates that the number of new employees joining the firm will be lower this year than it was the previous year, and new recruits this year will definitely receive no higher joining bonus than did those who joined last year. Hence, it can be established that the total amount of bonuses distributed this year will not outdo last year’s record.

In the argument given, the two portions in boldface play which of the following roles?

(A) The first is a claim challenged by the argument; the second is an explicit assumption that the challenge is based on.
(B) The first is a claim challenged by the argument; the second is a judgment advanced in support of the argument’s main conclusion.
(C) The first provides evidence in support of the argument’s main conclusion; the second is a judgment advanced in support of that main conclusion.
(D) The first provides evidence that supports the argument’s main conclusion; the second is an objection that has been raised against that main conclusion.
(E) The first and the second are each claims that have been advanced in support of a position opposed by the argument.
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Data Sufficiency Butler: May 2026
May 26DS 1DS 2

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DS 1

At the beginning of 2024, Elena divided $1,200 between two savings accounts, Account A and Account B. The amount placed in Account A earned simple interest at 9% per year, and the amount placed in Account B earned simple interest at 5% per year. If no additional deposits or withdrawals were made in either account, by the end of 2024 was the interest earned by Account A greater than the interest earned by Account B?

(1) Elena placed less than one-third of the $1,200 in Account A.

(2) By the end of 2024, the total interest earned by the two accounts was $74.

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DS 2

At a training center, 4 interns and 6 mentors took the same certification test. What was the average (arithmetic mean) score of all 10 test-takers?

(1) The total score of the mentors was 180 points, and the average score of the interns was 5 points less than the average score of the mentors.
(2) If one of the interns had scored 20 points more, the average score of all 10 test-takers would have been 30.
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for memorial day free access was given to tests

will such an access be provided in future as well
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Try to use ur reward points to redeem similar access
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will such an access be provided in future as well
Hi, free access is normally provided on major US holidays. Please see this post: gmat-club-tests-free-access-on-holidays-88231.html. (Not sure all the future 2026 dates have been updated, but it’s usually on these holidays.)
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hello just bought pro but can’t access the tests?
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shouldn’t the equation be y-z=6 ?
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Quote:

shouldn’t the equation be y-z=6 ?
No, let’s say : Initial balance is A, actual money after check deduction A-x.yz . But I wrote in my record A-x.zy . So, A-x.yz = 0.54 + A-x.zy , means x.zy - x.yz = 0.54, => z - y = 6
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