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Five gift cards will be distributed among 10 people so that no person receives more than one gift card. The gift cards consist of one $100 gift card, one $50 gift card, one $25 gift card and two $10 gift cards. How many different distributions of the five gift cards among the 10 people are possible if the two $10 gift cards are considered to be identical?
Machines A, B, and C produce widgets at their respective constant rates. Machine A produces $$n$$ widgets in $$x$$ hours, machine B produces $$n$$ widgets in $$2x$$ hours, and machine C produces $$n$$ widgets in $$3x$$ hours. In terms of $$x$$, how many hours does it take the three machines, working simultaneously at their respective constant rates to produce $$n$$ widgets?
In 2009, the price of a certain stock increased by 25 percent from May 1 to June 1 and decreased by $$n$$ percent from June 1 to July 1. If the price of the stock on July 1 was greater than the price of the stock on May 1, which of the following could be the value of $$n$$?

Indicate all such values.
$$x$$ is a positive integers.

Quantity A

$$ (-1)^x$$

Quantity B

$$ (-1)^{-x}$$




On the number line above, the points with coordinates a, b, and c are in the order indicated. Which of the following must be true?
Of the 29 students in a class, 15 students study French, fewer than 16 students study Spanish, and 5 students study neither French nor Spanish. Which of the following could be the number of students in the class who study both French and Spanish?

Indicate all such numbers.
If twice the sum of the positive integers x, y, and z is divided by 7, the remainder is 1. What is the remainder if the sum of x, y, and z is divided by 7?
Each copy of Magazine X is sold either at the cover price of $3.25 per copy or at the subscription price of $1.75 per copy. The average (arithmetic mean) price of the copies of Magazine X that were sold last month was $2.25 per copy.

Quantity A

The number of copies of Magazine X that were sold last month at the subscription price

Quantity B

Twice the number of copies of Magazine X that were sold last month at the cover price


If $$\frac{1}{2}$$ of the revenue from the sale of jazz recordings was from the sale of vocal jazz recordings, then revenue from vocal jazz recordings was approximately what fraction of revenue from all vocal recordings?
The graphs shown are drawn to scale. Which of the following is closest to the degree measure of the central angle of the sector that represents the category labeled "Other"?
If in 1995 revenue from the sale of classical music recordings was $$\frac{1}{2}$$ of its 1994 value while revenue from the sale of all other recordings shown was the same as in 1994, approximately what percent of the total 1995 revenue was from the sale of classical music recordings?
If $$-1 \lt y \lt 0$$, which of the following must be true?
Points R, S, and T have rectangular coordinates (1, 1), (4, 5), and (5, 0), respectively.

Quantity A

RT

Quantity B

ST


According to the distribution shown above, which age-group contains the median age of Internet users?
The dollar value of a certain painting in 1984 was 30 percent greater than its dollar value in 1980. The dollar value of the painting in 1988 was 84 percent greater than its dollar value in 1980.

Quantity A

The percent increase in the dollar value of the antique from 1984 to 1988

Quantity B

$$54%$$


In xy-plane, the graph of $$y=ax+b$$, where $$ab \gt 0$$, has the y-intercept $$s$$ and the x-intercept $$t$$.

Quantity A

$$s+t$$

Quantity B

$$b$$


The cost of producing 1 unit of a product at a certain manufacturing company is $0.75. According to a sales model, if each unit has a selling price of $1.00, the company expects to sell 1,000 units each month. For each $0.05 increase in the unit selling price, the company expects to see a decrease of 100 units sold each month. According to the model, which of the following could be a unit selling price at which the company would expect a profit of at least $250.00 each month? (Profit equals revenue minus cost.)

Indicate all such unit selling prices.
A rectangular plastic box with inside dimensions 6 inches by 5 inches by 4 inches is 85 percent full of water and contains nothing else.Several spherical lead balls with radius 1 inch will be placed in the water until the box is at least 90 percent full but less than 95 percent full. How many of these lead balls will be placed in the water? (Note: The volume of a sphere of radius r is $$\frac{4πr^3}{3}$$.)

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