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A realtor sold two storefront properties. The realtor sold one of the properties for a profit of 25 percent of its original purchase price and the other property for a loss of 25 percent of its original purchase price. If the realtor sold each property for $210,000, by what amount did the sum of the original purchase prices of the two properties exceed $420,000?
A point p is to be selected at random inside a square whose sides have length 3. What is the probability that the circle whose center is at p and whose radius is $$\frac{1}{2}$$ will not intersect the square?


Points A, B, C, and D are equally spaced on line segment AD, as shown. If $$\frac{1}{3}$$ of segment AB, all of segment BC, and $$\frac{2}{5}$$of segment CD were removed, what fraction of segment AD would remain?
The variables x and y are related by a linear equation. If y increases by 4 whenever x increases by 1, which of the following equations could represent the relationship between x and y?

Indicate all such equations.
If a and b are positive and a+2b=$$\frac{16-b^{2}}{a}$$, what is the value of $$(a+b)^{3}$$ ?
In 2014 the price of one share of a certain stock increased by 20 percent from January 1 to February 1 decreased by n percent from February 1 to March 1, and increased by 25 percent from March 1 to April 1. If the price of one share of the stock increased by 5 percent from January 1 to April I in 2014, what is the value of n?
An artist will arrange 5 identical plastic apples in wooden bowls-one made of maple, one of oak, and one of pine. How many different arrangements are possible such that each bowl will contain at least one apple?


Over the period shown, which first-class postal rate was in effect for the longest period of time?


The ratio of the first-class postal rate in effect in June 1989 to the first-class postal rate in effect in June 1979 is


The greatest percent increase in the first-class postal rate over the previous rate listed occurred in
What is the value of ($$2^{236}$$)($$4^{-120}$$)?
Of the following, which best represents the graph of the function $$y=(x^{2}-x)(x-2)?$$


The histogram shows the frequency distribution of caffeine amounts, rounded to the nearest milligram, for 20 brands of coffee, where each interval shown includes its left endpoint and excludes its right endpoint. Based on the histogram, which of the following could be the respective values of the average (arithmetic mean) and the median of the caffeine amounts for the 20 brands?
A certain list consists of 12 consecutive even integers.

Quantity A

The range of the 12 integers

Quantity B

24
$$n$$ is an integer greater than 10.

Quantity A

The sum of the reciprocals of the first $$2n$$ positive integers

Quantity B

$$1$$ more than the sum of the reciprocals of the first $$n$$ positive integers
Darrell has a collection of 40 DVDs, each of which contains one movie. There are 17 comedy movies, 14 fantasy movies, and 9 historical movies, where each historical movie takes place in a separate time period. The movies will be ordered on a shelf from left to right so that the movies of each type comedy, fantasy and historical are in a single group of consecutive movies. In addition, the historical movies will be ordered from earliest time period to latest time period. How many possible orderings of the movies are there?
x ≠ y

nx + ky = ny + kx

Quantity A

n

Quantity B

k
If $$p$$ is an even integer, which of the following must be an odd integer?
If $$\frac{1}{x+1}-\frac{1}{x}$$=$$-\frac{1}{12}$$, then x could be
A certain toy company manufactures tricycles at a cost of $$$750$$ for a batch of $$50$$ small tricycles and at a cost of $$$1,000$$ for a batch of $$50$$ large tricycles. The company sells small and large tricycles for $$$75$$ and $ $$110$$, respectively. Which of the following represents the number of dollars profit that the company makes from the sale of $$700$$ small and $$600$$ large tricycles? (Profit is sales minus cost.)

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