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题目内容
Set S consists of all three-digit positive integers that contain only the digits 1, 2, 3, 4, or 5.

Quantity A

The number of integers in S in which all three digits are different

Quantity B

60


For a positive integer n, the remainder is 3 when it is divided by 7, and the remainder is R when it is divided by 4.

Quantity A

R

Quantity B

2


$$x^{2}-y^{2}=-10$$

Quantity A

x+y

Quantity B

x-y






As part of a study, a restaurant recorded the number of people for each reservation at the restaurant last Saturday. The table above shows a frequency distribution of the results. What is the range of the numbers of people per reservation?

_____people per reservation


The variable x takes on integer values between 1 and 8, inclusive. The frequency distribution of x is shown in the graph above. What is the median value of x?
At a constant rate of $$\frac{x}{6}$$ miles for every y seconds, how many minutes would it take an aircraft to travel z miles? (xyz ≠ 0)
On the first day of a sale, a storekeeper sold $$\frac{3}{5}$$ of the goods in the initial inventory. On the second day of the sale, the storekeeper sold $$\frac{1}{4}$$ of the goods that remained at the end of the first day of the sale.

Quantity A

The fraction of the goods in the initial inventory that remained at the end of the second day of the sale

Quantity B

$$\frac{3}{10}$$






$$b_{1}$$, $$b_{2}$$, $$b_{3}$$, ........., $$b_{99}$$, $$b_{100}$$........

The first term of the sequence shown is 1, and each term after the first term is equal to the preceding term multiplied by $$-\frac{1}{3}$$.

Quantity A

$$b_{100}$$ - $$b_{99}$$

Quantity B

0


If $$\frac{r}{s}=\frac{1}{2}$$ and $$\frac{r}{p}=\frac{2}{3}$$, then $$\frac{r}{s+p}$$=
A ball is dropped from a height of 3 meters and bounces repeatedly. After each bounce, it reaches a height that is 65 percent of its previous height. If the height of the ball after the $$n$$th bounce is less than 20 centimeters, which of the following could be the value of $$n$$?

Indicate all such values.


Quantity A

|a|

Quantity B

|b|


Quantity A

$$89!-88!$$

Quantity B

$$(87!)(88)^{2}$$


$$Y_1, Y_2, Y_3,...,Y_i,...$$

The sequence shown is defined by $$Y_1$$=5 and $$Y_{i+1}=\frac{1}{5}Y_i$$ for each positive integer.

Quantity A

$$Y_6$$

Quantity B

$$(25^{5})Y_{16}$$


$$x^{4}y^{3} \gt 0$$

Quantity A

$$\frac{x+y}{x}$$

Quantity B

1




Quantity A

4

Quantity B

k


Which of the following, if true, provides most support for the archaeologists' contention?
The average (arithmetic mean) and the median of a set of 5 numbers is 0, and the set contains at least one number that is not equal to 0. Which of the following statements must be true?
If r and s are positive integers, which of the following is equal to r percent of s percent of 200?
Which of the following most accurately states the main point of the passage?
x, y, and z are positive integers and x+y=z.

Quantity A

The average (arithmetic mean) of x, y, and z

Quantity B

$$\frac{z}{2}$$




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