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题目列表

题目内容
The product of nine consecutive integers is 0.

Quantity A

The sum of the nine integers

Quantity B

30
The author would likely include which of the following evidence in the "facts of chronology"
Which of the following inequalities is consistent with the statement that the time it took train K to travel r miles at a constant rate of s miles per hour is less than the time it took train M to travel y miles at a constant rate of z miles per hour?
What is the units digit of ($$4^{32}$$ - $$3^{32}$$)?
Consider all the permutations of the letters in the word $$MISSISSIPPI$$, where $$I$$ is a vowel and the other letters are consonants.



Quantity A

The number of permutations in which all the vowels are next to each other

Quantity B

The number of permutations in which all the consonants are next to each other
n is the least possible integer such that 108n is the square of an integer.

Quantity A

n

Quantity B

9
Each copy of a certain textbook in a college bookstore is classified as new or used. The bookstore sells each new copy for $90 and each used copy for another fixed price. For all the copies sold last week, the total revenue from the sales of new copies was equal to the total revenue from the sales of used copies, and the average (arithmetic mean) price per copy was $60. What is the price of each used copy?
The positive numbers a, b, c, d, e, and f are different from each other.

Quantity A

The range of the numbers a, b, c, d, e, and f

Quantity B

The range of the numbers $$a^{2}$$, $$b^{2}$$, $$c^{2}$$, $$d^{2}$$, $$e^{2}$$ and $$f^{2}$$
x and y are different positive integers

$$x^{2}y$$=180

Quantity A

x

Quantity B

y
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?
$$n$$ is a positive integer.

Quantity A

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

Quantity B

1
In the xy-plane, which of the following values are x-intercepts of the graph of the equation $$y= \frac{x−1}{x+3}$$?

Indicate all such values.
If the total number of ton-miles that were transported increased at a constant rate from 1941 to 1991 approximately what was the total number of ton-miles that were transported in 1986?
From 1941 to 1991, approximately what was the percent increase in the number of ton-miles transported by railway?
Which of the following best represents the graph of y = |x| + x in the xy-plane?
Working continuously for a total of 120 hours, a machine first assembled x units of product A and then assembled y units of product B. where x and y are positive integers. It took the machine 3 hours to assemble each unit of product A and 5 hours to assemble each unit of product B. Which of the following could be the total number of units of product A and product B that the machine assembled in the 120 hours?

Indicate all such numbers.
a, b, c, d, e, f, g, h, i, j

Let S be the set of all 10-letter sequences consisting of the 10 letters above.

Let T be the set of all 8-letter sequences consisting of the first 8 letters above.

Quantity A

The number of sequences in S in which f, b, h, and g appear consecutively in that order

Quantity B

The number of sequences in T in which f and b appear consecutively in that order
A group of n people is categorized as follows.

9 people are taller than 6 feet.

14 people are shorter than $$5\frac{1}{2}$$ feet.

12 people are under 21 years old.

If each person in the group is in at least one of the three categories, then n can be any integer between
If 30 percent of the presidents and 80 percent of the vice presidents are serving their first terms, what is the least possible number of the organizations that have both their president and corresponding vice president serving their first term?
One of the vice presidents will be chosen at random. What is the probability that the vice president chosen will be one whose age is greater than 63 years given that the age of the corresponding president is less than 53 years?

Give your answer to the nearest 0.01.

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