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x ≠ 0

Quantity A

$$\frac{x^{2}}{|x|}$$

Quantity B

x


How many three-digit numbers are there of the form 98X, where X is the units digit and the sum of the three digits is divisible by 3?
The sum of 15 consecutive odd integers is k times the median of the 15 integers. What is the value of k?


The stem-and-leaf plot shows the ages, in years, of 30 people. Each age is represented by a stem followed by a leaf in the same row, according to the key. What are we median and range, respectively, of the ages, in years, of the 30 people?
If 2 is a factor of the positive integer p and p is a factor of the positive integer r, which of the following statements must be true?

Indicate all such statements.
A home aquarium in the shape of a rectangular box has an interior base that measures 20 inches by 10 inches. There are 2,400 cubic inches of water in the aquarium when it is filled to 75 percent of its capacity. What is the interior height, in inches, of the aquarium?
The probability that event R will occur is $$\frac{1}{4}$$, and the probability that event S will occur is $$\frac{2}{5}$$. If events R and S are independent, what is the probability that neither of the two events will occur?

Give your answer as a fraction.
Of the 250 students enrolled in a college economics course, 50 percent have never taken an economics course before. If 20 percent of the students in the class are sophomores and 80 percent of the sophomores in the class have never taken an economics course before, how many of the students in the class who have taken an economics course before are not sophomores?
A beaker contained 6 grams of a solution that was 12 percent acid and 88 percent water, by weight. After some water was added to the beaker, the resulting solution was 10 percent acid, by weight. How many grams of water were added to the beaker?
For the sequence 2, x, 7, ........, there is a constant such that each term after the first equals the sum of the preceding term and that constant. What is the value of x?
$$x$$ is $$\frac{1}{2}$$ of $$y$$.

Quantity A

$$x$$

Quantity B

$$y$$


Quantity A

The sum of the digits of the greatest 4-digit integer that is divisible by 1,000

Quantity B

The sum of the digits of the greatest 3-digit integer that is divisible by 10




List M consists of 100 values, all of which are positive integers. The table shows the cumulative frequency distribution of the values in M, where the cumulative frequency of each value v is the number of values in M that are less than or equal to v.

Quantity A

The number of values in M that are greater than 3

Quantity B

The number of values in M that are both greater than 1 and less than or equal to 4


List R consists of ten different values that are arranged in ascending order. The difference between each pair of consecutive values in the list is constant.

Quantity A

The average (arithmetic mean) of the values R

Quantity B

The median of the values in R


Quantity A

The greatest positive factor of 48 that is less than 20

Quantity B

The least positive multiple of 4 that is greater than 10


p is an integer.

Quantity A

$$(-1)^{p(p+1)}$$

Quantity B

1




Quantity A

w

Quantity B

10


A certain tulip farm consists of r diferent sections, each growing a diferent variety of tulip. Each section is divided into r diferent fields. Every day 5people, including Beth and Jil, are assigned ot water an equal number of fields so that hte entire farm is watered. On Monday Beth watered all the fields that were assigned to her. plus $$\frac{1}{3}$$ of the fields that were assigned to Jill.

Quantity A

The number of fields Beth watered on Monday

Quantity B

$$\frac{rt}{4}$$


x and y are positive integers.

R=10x+7

T=10y+2

Quantity A

The units digit of the product RT

Quantity B

4


If x is a rational number and y is an irrational number, which of the following statements must be true?

Indicate all such statements.

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