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Quote:

*jeffn sends image:*
9!/4!= 126
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Quote:

9!/4!= 126
You meant 9!/(5!×4!) = 126 right ?
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Any suggestion on how to improve in must/could be true questions?
These are the most fun, so get a few of them and play a game with yourself as a puzzle. Make sure you start with easy ones and if you can get 10/10 correct, move on to the medium ones, and then if you get 10/10 correct, move on to the hard ones. And I would not worry too much about timing at first. Keep note of it and TRY to fit into 20 mins with 10 questions but don’t cut it off. You can do this over 2-3 days by the way. 10 questions per day type of thing so you don’t go too crazy. Make notes for ANY question you miss and write why you missed it. If you can’t figure out why you missed, you have bigger problems to work on :lol:
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Quote:

You meant 9!/(5!×4!) = 126 right ?
Yes

Quote:

You meant 9!/(5!×4!) = 126 right ?
Correct 😂

9C4
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Critical Reasoning Butler: November 2025
November 11CR 1CR 2

________________________________________
CR 1

The Ministry of Tourism in country X began an expensive television advertising campaign in country Y two years ago. Since that time, the number of visitors to country X from country Y has increased by more than 8 percent. Clearly, the Ministry of Tourism’s campaign is responsible for the increase.

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

A. The advertisements sponsored by the Ministry of Tourism in country X were panned by the country Y media for lack of imagination.

B. A devaluation of the currency in country X two years ago made travel there more affordable for residents of country Y.

C. Increasing political turmoil in country X will lead to a decrease in visitors from country Y next year.

D. The number of visitors from country Y to country Z increased by more than 8 percent over the past two years.

E. Over the past two years, the advertisement campaign launched by the Ministry of Tourism in country X cost more money than residents of country Y spent traveling in country X.
________________________________________
CR 2

Opponents of the laws prohibiting nonprescription narcotic drugs argue that in a free society, people have the right to take risks as long as the risks do not constitute a harm to others who have not elected to take such risks. These opponents conclude that it should be each person’s decision whether or not to use narcotic drugs.

Which of the following, if true, most seriously weakens the conclusion drawn above?

A. Some narcotic drugs have been shown to have medicinal qualities.

B. There are laws that govern the use of prescription drugs.

C. Studies have shown that people who use nonprescription drugs are much more likely to perpetrate a violent crime when intoxicated than when sober.

D. People who use narcotic drugs are twice as likely to die of an overdose as of natural causes.

E. The rate of drug overdoses is higher in countries that do not have laws governing the use of narcotic drugs than in countries that do have such laws.
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Problem Solving Butler: November 2025
November 11PS 1PS 2

__________________________________
PS 1

How many non-negative integers less than 81 are NOT equal to squares of non-negative integers ?

(A) 9
(B) 70
(C) 71
(D) 72
(E) 73
__________________________________
PS 2

In a sample of associates at a law firm, 30 percent are second-year associates, and 60 percent are not first-year associates. What percentage of the associates at the law firm have been there for more than two years?

A. 10
B. 20
C. 30
D. 40
E. 50
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Data Sufficiency Butler: November 2025
November 11DS 1DS 2

___________________________________
DS 1

How many burritos did Dave’s Wraps sell today?

(1) A total of 350 burritos was sold at Dave’s Wraps yesterday, which is 100 fewer than twice the number sold today.
(2) The number of burritos sold at Dave’s Wraps yesterday was 20 more than the number sold today.
___________________________________
DS 2

A container has red, blue and green balls, and the number of green balls is less than 15. How many green balls are in the container?

(1) The ratio of red to blue balls is 6 to 5
(2) There are twice as many green balls as red balls in the container.
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Critical Reasoning Butler: November 2025
November 12CR 1CR 2

______________________________________
CR 1

Thousands who suffer heart attacks each year die before reaching a hospital or clinic where they can benefit from the drugs that dissolve clots in coronary arteries. The Food and Drug Administration recently approved a new blood clot dissolving agent, which a spokesman claimed could save the lives of many people who would otherwise join this group of heart attack victims.

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

(A) The new agent must be administered by a team of doctors in a hospital or clinic setting.

(B) Many heart attack victims die unnecessarily even though they reach a hospital or clinic in time

(C) The new agent can be effectively administered prior to the victim's arrival at a hospital or clinic

(D) The Food and Drug Administration has already approved agents that are at least as effective as the new drug in dissolving blood clots

(E) The new blood clot dissolving agent causes kidney damage and irregular heart rates in some patients.
______________________________________
CR 2

The increase in taxes on cigarettes next month will not limit the use of addictive tobacco products to the extent that health advocates hope. Many cigarette smokers will shift their spending to cigars and chewing tobacco when the law takes effect.

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

A. Cigars and chewing tobacco can satisfy the nicotine cravings of most cigarette smokers.

B. The taste, smell, and texture of cigars and chewing tobacco are sufficiently different from those of cigarettes to deter cigarette smokers from using them.

C. Many health advocates themselves use tobacco products.

D. The government might also impose significant taxes on cigars and chewing tobacco over the course of two years.

E. Cigars and chewing tobacco are often more expensive than cigarettes.
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Problem Solving Butler: November 2025
November 12PS 1PS 2

__________________________________
PS 1

If n is an integer, what is the least possible value of \(3^n + (3)(3^{-n})\)?

A. 1
B. 2
C. 3
D. \(3 \frac{1}{3}\)
E. 4
__________________________________
PS 2

A historian asserts that at the beginning of 1852, the population of a certain mining town was 16,000. The historian also asserts that for each of the years from 1849 through 1853, thetown’s population at the beginning of the year was twice that of the preceding year. According to the historian, what was the range of the town’s populations at the beginning of each year from 1848 through 1853?

A. 14,000
B. 15,000
C. 28,000
D. 30,000
E. 31,000
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Data Sufficiency Butler: November 2025
November 12DS 1DS 2

____________________________________
DS 1

How many students scored less than the class average on a test?

(1) The class average was 83
(2) Fourteen students scored above the class average
____________________________________
DS 2

Does Jim own at least one dog?

(1) Jim lives in an apartment complex that is home to 20 people (including Jim) who own a total of 39 dogs.

(2) No one in Jim’s apartment complex owns more than 2 dogs.
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