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Problem Solving Butler: September 2025
September 24PS 1PS 2

__________________________________
PS 1

Let k be a positive integer such that k + 4 is divisible by 7. Then the smallest positive integer n, greater than 2, such that k + 2n is divisible by 7 equals

A. 11
B. 9
C. 7
D. 5
E. 3
__________________________________
PS 2

From each of the two given numbers, half the smaller number is subtracted. Of the resulting numbers the larger one is three times as large as the smaller. What is the ratio of the two numbers?

A. 4 : 3
B. 3 : 2
C. 2 : 1
D. 3 : 1
E. 4 : 1
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Critical Reasoning Butler: September 2025
September 24CR 1CR 2

________________________________________
CR 1

Which of the following best completes the passage below?

Over the years, supporters of slavery have put forward several view-points to rationalize their belief. One such argument states that some people are meant to be slaves as part of the natural order of the universe, or as part of God’s plan, and it is wrong to interfere with this by abolishing slavery. However, such an argument is flawed, because it fails to take into account the fact that __________________.

(A) slavery is a cruel practice that does not find much favor with most people in the world

(B) just because something is part of God’s plan does not mean it is the morally correct thing to do

(C) slavery is considered illegal in almost all the countries of the world

(D) there exist no certain criteria to distinguish between natural slaves and those who should not be enslaved

(E) just because something is meant to be does not mean that it has to be
________________________________________
CR 2

The list of the highest paying cities in the world is headed by cities in Switzerland. This serves to reaffirm the fact that people in Western European cities on average earn three times more than those in Eastern Europe. The fact that, in Switzerland, deductions from salary are relatively low, further widens the gap between net wage level earned there and in other countries, especially in the rest of Western Europe. The largest wage differences are in Asia, where the highest value (Tokyo) is twelve times higher than the lowest (Delhi).

Which of the following can properly be inferred from the statements above?

(A) The Swiss pay less money in taxes than do people in the rest of Western Europe.

(B) Delhi is the poorest city in the Asian continent.

(C) The wage difference between the richest and poorest cities of Eastern Europe is less than twelve times.

(D) Switzerland is not situated in Western Europe.

(E) Tokyo has more rich people than does Delhi.
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Data Sufficiency Butler: September 2025
September 24DS 1DS 2

____________________________________
DS 1

How many more boys than girls are in the class?

(1) There are a total of 10 boys and girls in the class.
(2) The number of boys in the class equals the cube of the number of girls in the class.
____________________________________
DS 2

If from 1991 to 2000, the number of students of School X tripled, how many number of students of the school were there in 1991?

(1) From 2000 to 2009, the number of students of the school doubled.
(2) From 2000 to 2009, the number of students of the school increased by 120.
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WA@pqo571

Since these questions are from gmatclub tests, so when we will be attempting sectionals or mocks are we going to encounter these or those questions in sectionals or mock are from another pool?

Yes. Those question will later be included in GMAT Club tests.
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You can avoid those if you intend to practice the tests later.

_________________________
New 8th TPA question: a-mobile-app-lets-users-enable-email-alerts-and-sms-alerts-450142.html
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