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题目内容
In the sequence of numbers, each number after the first numbers is $$\frac{1}{3}$$ of the preceding number. T is the least number in the sequence that has a value greater than 1.

999, 333, 111, ......

Quantity A

T

Quantity B

3
If k, n, and $$\frac{k}{n}$$ are integers greater than 1, which of the following could be the value of kn?
All of the codes used to unlock a certain type of jewelry box are different arrangements of the letters iin the name "MARSHA," where both the first and last letters in each code are "A"s. How many such 6-letter codes are possible?
The function f is defined by f(x)=|x-a|-|b-x| for all numbers x, where a and b are positive costants. What is the value of f(-4)?
A box contains small toys, and each toy is worth either $3 or $6. If a toy is selected at random from the box, the probability that the selected toy will be worth $6 is 0.25. Which of the following could be the total value of all the toys in the box?

Indicate all such values.
In a certain portfolio 70 percent of the stocks declined in value last month. Of the stocks that declined in value, 40 percent were in large corporations. What percent of the stocks in the portfolio declined in value last month but were not in large corporations?
Pumps A ,B ,and C pump water at their respective constant rates. Working simultaneously, A and B can fill an empty pool in 6 hours. Working simultaneously, B and C can fill the empty pool in 5 hours. Working simultaneously, A and C can fill the empty pool in 4 hours. Working simultaneously, A ,B , and C can fill the empty pool in approximately how many hours?
When a driver got on the expressway, she set the cruise control at 55 miles per hour for the first 2 hours and at 65 miles per hour for the remaining 2.2 hours of the trip. When she returned, she traveled the same distance along the expressway and averaged 50 miles per hour for the return trip. How many more minutes was she on the expressway returning than going?


The monthly commission for a sales representative is computed using the table above. If a sales representative had sales of $13,000 in June, what was her commission for that month?
A total of $96,000 was invested for one month in a new money market account that paid simple annual interest at the rate of $$r$$ percent. If the investment earned $960 in interest for the month, what is the value of $$r$$?
A box contains 30 marbles of which 6 are red, 7 are blue, 8 are yellow, and the rest are green. Marbles are selected randomly from the box one at a time without replacement. The selection process stops as soon as 2 marbles of different colors have been selected. What is the greatest number of selections that might be needed in order to stop the process?
If n and 1.25n are positive integers, which of the following could be the units digit of n?

Indicate all such digits.
$$x^{2}-y^{2}$$=25

x-y=5

Quantity A

x+y

Quantity B

5
$$n$$ is a positive integer.

Quantity A

The remainder when $$n(n^{2}-1)$$ is divided by 6

Quantity B

1
A pound of tea makes 210 cups of tea, and a pound of coffee makes 40 cups of coffee. If, on the average, a restaurant serves 12 times as many cups of coffee as tea, what is the ratio of pounds of tea to pounds of coffee used at the restaurant?
A company has only two kinds of vehicles: cars and trucks. If 24 percent of the company's vehicles are cars that have automatic transmission and 60 percent of the company's cars have automatic transmission, what percent of the company's vehicles are cars?

_____%
$$(x-1)(x-2)(x+1)^{2} > 0$$

Quantity A

x

Quantity B

0
Which of the following numbers is greatest?
A bag contains 8 pounds of nuts, and $$\frac{1}{3}$$ of the nuts, by weight, are walnuts. If 3 pounds of walnuts are added to the bag, what will be the fraction of the nuts in the bag, by weight, that are walnuts?
The standard deviation of m numerical data $$ x_{1}, x_{2}, x_{3}, ..., x_{n}$$, With mean $$\bar{x}$$ is equal to $$\sqrt{\frac{S}{n}}$$, where S is the sum of the squared differences $$(x_{i}-\bar{x})$$, for 1 ≤ i ≤ n.

List L consists of 80 values. List M consists of the values in L and the value 92, and the mean of the values in M is 12. If the standard deviation of the values in L is 0, what is the standard deviation of the values in M?

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