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A list of data values was divided into three smaller lists, where list A contains one-half of the data values, list B contains one-fifth of the data values, and list C contains the rest. The average (arithmetic mean) of the data values in list A is 12, the average of the data values in list B is 15, and the average of the data values in list $$C$$ is 6. What is the average of all of the data values in the original list?
When the positive integer n is divided by 5, the remainder is 3. Which of the following could be the units digit of n?

Indicate all such digits.
The graph above shows the annual sales, in thousands of dollars, for a certain product sold at three different stores for the years 2011 to 2015. Of the following sales, which had the greatest percent increase?
If $$x+y=1$$ and $$xy \neq 0$$, then $$\frac{1}{x}$$+ $$\frac{1}{y}$$=
$$r=4+\frac{k}{d+500}$$

When a certain lending business loans an amount of $$d$$ dollars for one year, it charges interest equal to $$r$$ percent of the amount of the loan so that the interest rate $$r$$ and the amount $$d$$ are related by the formula shown, where $$k$$ is a constant. When the business loans 1,000 dollars for one year, the interest rate is 4.40 percent. When the business loaned an amount of money to Charles for one year, the interest rate was 4.12 percent. Approximately what was the total amount, including interest, that Charles had to repay the business for the loan?
Point $$P$$ and $$Q$$ lie on line segment $$AB$$, and P lies between points $$A$$ and $$Q$$. If $$\frac{AQ}{AP}$$=$$\frac{c}{d}$$ and $$\frac{BQ}{BP}$$=$$\frac{d}{c}$$, where $$c$$ and $$d$$ are positive numbers, which of the following is equal to $$\frac{PQ}{AB}$$?

Quantity A

The number of integers n, where 100 < n < 200, that are multiples of both 3 and 5

Quantity B

$$15$$


The price of s scarves is d dollars. At this rate, what is the price of $$s+2,600$$ scarves, in dollars?
Which of the following values of $$x$$ is a solution of the equation shown? Indicate all such values.
Container $$Q$$ contains exactly $$120$$ balls and container $$R$$ contains exactly $$6$$ balls. The balls in container $$Q$$ are numbered from $$1$$ to $$120$$, respectively, and the balls in container $$R$$ are numbered from $$1$$ to $$6$$, respectively. A ball is to be chosen at random from each of containers $$Q$$ and $$R$$.

Quantity A

The probability that the number of the ball chosen from container $$Q$$ will be divisible by $$2$$ or $$3$$

Quantity B

The probability that the number of the ball chosen from container $$R$$ will be divisible by $$2$$ or $$3$$


In a sequence of integers, the first 4 terms are odd integers and each term after the $$4^{th}$$ term is the sum of the previous 4 terms. How many of the first 100 terms are even integers?
A certain club has 140 members. The January meeting of the club was attended by 80 percent of the members, and the February meeting was attended by 124 members.

Quantity A

The number of members of the club who attended both meetings

Quantity B

$$104$$




Of the following, which best represents the equation of the graph shown in the xy-plane?


PQRS is a rectangle, and the ratio of PQ to QR is 10 to 9. PX=1 and PY=0.9

Quantity A

The area of triangular region PXR

Quantity B

The area of triangular region PRY


A list consists of 25 different positive integers that are ordered from least to greatest. The average (arithmetic mean) of the integers in the list is 75, and the average of the first 12 integers in the list is 50.

Quantity A

The average of the last 12 integers in the list

Quantity B

100




Greg' s income last year was $45,000. The graph above shows the distribution of his income, by income source. Based on the information given, which of the following statements about his income last year are true?

Indicate all such statements.
In the xy-plane, a circle with center C in the first quadrant is tangent to both the x - and y-axes. If the area enclosed by the circle is 20π, what are the coordinates of C?
The operation $$●$$ is defined for all numbers $$x$$ and $$y$$ by $$x●y=x+2y.$$

$$r$$, $$s$$, and $$t$$ are positive numbers.

Quantity A

$$(r●s)●t$$

Quantity B

$$r●(s●t)$$




The four cubes shown above have edges of length 5, 4, 3, and 1, respectively. The sum of the surface areas of the three smaller cubes is how much greater than the surface area of the largest cube?
Which country has the least total wealth?

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