A factory has <i>ni> workers. The factory gave a <i>pi>% raise to all its workers, who were previously paid an average of $<i>xi> per month. Which of the following represents the dollar value of the factory`s total monthly payroll expense for its workers?

For a charity, <i>mi> people each pledged to run 25 kilometers in a fundraising race. Each of these people convinced another<i> mi> friends to pledge to run 25 kilometers. What is the value of <i>mi>?

1. The initial set of <i>mi> people pledged a total of $\frac{1}{25}$ of the final number pledged by themselves and their friends.
2. The total number of kilometers pledged was 15,000.

Each of two buses contains <i>yi> passengers. Each passenger carries <i>xi> folders, and each folder contains 10 pieces of paper. How many pieces of paper are contained within the two buses?

The average (arithmetic mean) of a set of <i>n i>numbers is 75. If adding the number 160 in the set raises the average to 80, what is the value of <i>ni>?

A legal service bills <i>pi> dollars for the first hour of service on a task and <i>qi> dollars for each additional hour, where $p>q$. If the client requires a specific number of hours <i>h i>of service, how does the amount billed to the client change if the work is broken up into <i>n i>tasks rather than one task?

Any decimal that has only a finite number of nonzero digits is a terminating decimal. For example, 10, 0.23, and 8.107 are three terminating decimals. If <i>ni> and <i>mi> are positive integers and the ratio $\frac{n}{m}$ is expressed as a decimal, is $\frac{n}{m}$ a terminating decimal?

1. <i>ni> is a three-digit number divisible by 10.
2. $m=5$

A regional shipping facility has received <i>a i>cars, each of which must be distributed to one of <i>b i>dealerships in the region. If $3<b<7$ and $a>7$, is it possible to distribute the <i>a i>cars to the <i>b i>dealerships such that each dealership receives the same number of cars?

1. It would be possible to distribute 3<i>a i>cars that each dealership receives the same number of cars.
2. It would be possible to distribute 7<i>a i>cars that each dealership receives the same number of cars.

A store sold 50 sweaters, which usually are priced at <i>xi> dollars, at 15 percent below the normal price. In terms of <i>xi>, what was the total revenue from the sale of the sweaters?

A metal sheet measuring 18 inches by 30 inches is covered as completely as possible with non-overlapping perfectly circular cookies of identical area in <i>n i>rows of <i>m i>cookies. What is the value of <i>nmi>?

1. Each of the cookies has a radius of 3 inches.
2. Five cookies in a row fit exactly within the longer dimension of the sheet.

A legal service costs <i>a i>dollars for the first hour of service and <i>bi> dollars for each additional hour. How much does the service cost if it takes 10 hours?

1. The service costs $286 if it takes 2 hours.
2. The service costs $565 if it takes 5 hours.

Pat invested $4,000 at <i>ai> percent simple annual interest and a different amount at <i>pi> percent simple annual interest for the same period of time. What amount did Pat invest at <i>pi> percent simple annual interest?

1. The total amount of interest earned by Pat's investments in one year was $400.
2. Pat invested the $4,000 at 4 percent simple annual interest.

If and , which of the following must be equal to 0?

I.

II.

III.

The number of visible stars in the night sky, ,<i> i>can be estimated by the formula $,$ where <i> i>is the number of stars counted through a tube with length <i>, i>in centimeters, and a circular mouth of area <i>, i>in square centimeters. Based on the formula, what is the estimated number of visible stars in the night sky if 240 stars are observed through a tube 10 feet long with a mouth of radius of 4 feet? (1 foot = 30.48 centimeters)

The "unexpected shift" mentioned in the highlighted text of the passage is best described as

Which of the following most logically completes the argument?

The claim that Homo habilis, Homo rudolfensis and Homo erectus, three classifications of hominids extant about 2 million years ago, might represent a single species, is considered tentative, since it is based on a single analysis in the journal <i>Science i>of a single fossil specimen known as "skull 5." One evolutionary biologist reports several of his colleagues are writing concurring articles. Nonetheless even if that prediction proves correct, these new articles will lend no support to the claim that the three species are in fact one, since _______________.

The author cites the existence of constraints on contract against usury in order to do which of the following?