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How many ways can the integers 3, 4, 6, 7, and 8 be arranged using each digit only once to form a five-digit integer such that the middle digit is odd?
Four toys—a stuffed animal, a ball, a toy car, and a doll—are to be distributed among three children—Jasmine, Katey, and Leah. If the toys are to be distributed in such a way that each child receives at least one toy, how many such distributions are possible?
If -1 \lt y \lt 0, which of the following must be true?


According to a theory, the gravitational force F between two metal spheres with masses m_{1} and m_{2}, is given by the formula shown, where d is the distance between the centers of the spheres and G is a positive constant. Which of the following changes to the distance or the masses, while keeping the other quantities unchanged, would cause the greatest increase in F?
Which of the following is NOT equivalent to x(y+z)-y(x+z)?
An electronics store purchased two television sets at different wholesale costs and later sold the two television sets for $3,300 each. The profits that the store made on the first television set was equal to 10 percent of its wholesale costs, and the profit that the store made on the second television set was equal to 20 percent of its wholesale cost. The total profit that the store made on the two television sets was what percent of the total of their wholesale costs? (Note: profit equals selling price minus costs.)

Give your answer to the nearest 0.01 percent.
In City N, the sales tax is 8 percent of the selling price. For a certain week, the sales tax was suspended on items of clothing, but only on those with selling prices under $100. During that week, a customer bought 8 items of clothing with a total selling price of $292.

Quantity A

The total amount of sales tax that was suspended on the 8 items of clothing

Quantity B

$20


A jogger ran x miles at a constant rate of 5 miles per hour north along a beach, rested for 15 minutes, and then ran x miles back at the same rate. If it took the jogger a total of 1.5 hours for the entire run including the time for rest, how many miles did the jogger run north?
Faucets X and y dispense water at their respective constant rates. Dispensing simultaneously, faucets X and Y fill an empty tub in 3 minutes. Faucet X, dispensing alone, takes \frac{3}{4} as long as faucet y, dispensing alone, to fill the empty tub. Let x and y be the respective times, in minutes, that it takes faucets X and y, each dispensing alone, to fill the empty tub. What are the values of x and y?
Three pipes P1, P2 and P3, working together at their respective constant rates, can fill a tank in 6 hours. P1, and P2, working together at their respective constant rates, can fill the same tank in 8 hours. How many hours will it take P3, working alone at its constant rate, to fill this tank?
At a certain company, 60 percent of the employees were in department A and the remaining 40 percent were in department B. During a company reorganization, some of the employees were moved from department A to department B, none were moved from department B to department A, and the total number of employees remained the same. If the number of employees in department A decreased by 30 percent as a result of the reorganization, what was the percent increase in the number of employees in department B?
In a government's current budget, 66 percent of the budget is allocated to the payment of entitlements and interest on the government's debt. If the dollar amount of the allocation for entitlements and interest on the government's debt were to remain the same, but all the remaining allocations in the budget were to be reduced by 10 percent of their dollar amounts, by what percent would the entire government budget be reduced?
A furniture store purchased sofas for a wholesale price of $400 each and sold most of them for a retail price of $560 each. In a summer sale, the retail price of the last few sofas was reduced by x dollars, and they were sold at this reduced price. The store's profit from selling the last sofa was more than 15 percent of its wholesale price. Which of the following could be the value of x ?

Indicate all such values.
In a large gym class, the teacher plans to group the students into teams for either volleyball or baseball. The volleyball teams would consist of 6 players each, while the baseball teams would consist of 9 players each. If the teacher attempts to group the students into volleyball teams, then there will be 2 students remaining who are not on a team. If the teacher instead attempts to group the students into baseball teams, which of the following could be the number of students remaining who are not on a team?


In the triangle, r is greater than 0.

Quantity A

t

Quantity B

5


The author mentions "country bands" primarily in order to
The role of lightning in starting natural fires throughout tropical East Asia has possibly been underestimated, with most authors assuming that all fires today are ____________.
Most observers successfully perceive and contemplate the factual tidbits that are placed in focus by the displays in science museums; however, they frequently (i)____________ the display frame itself. This is not surprising, since the art of museum presentation, if it is to be effective rather than distracting, should be (ii)____________.
In considering the life of Joseph Duveen, one must reconcile Duveen the noted (i)____________ with Duveen the unscrupulous manipulator and salesman, His benefactions and activity in organizing exhibitions of historic British art were far from (ii)____________ and can be seen as buying respectability and Establishment support in order to (iii)____________ his final, most magnificent sales.
Studies have shown that areas of the Amazon rain forest that previously were thought to be ____________ have in reality been subject to disturbance and modifications by humans for thousands of years.

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