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题目： For how many unique coordinate points (P, Q), such that P and Q are integers, is it true that $$P^{2} - Q^{2} =$$ 1155?

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题目： If x is an odd negative integer and y is an even integer, which of the following statements must be true?I. (3x - 2y) is oddII. $$xy^{2}$$ is an even negative integerIII. $$(y^{2} - x)$$ is an odd negative integer

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题目： Given that the length of each side of a quadrilateral is a distinct integer and that the longest side is not greater than 7, how many different possible combinations of side lengths are there?

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题目： How many positive integers less than 10,000 are such that the product of their digits is 210?

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题目： For which real numbers x is the expression $${1}\over{(x-2)(x+1)}$$ not defined?

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题目： Division R of Company Q has 1,000 employees. What is the average (arithmetic mean) annual salary of the employees at Company Q?(1)The average annual salary of the employees in Division R is $30,000.(2)The average annual salary of the employees at Company Q who are not in Division R is $35,000.

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题目： A salesperson received a 6-percent commission on the amount of total sales up to and including $10,000, and an r-percent commission on the amount of total sales over $10,000. If the salesperson received a total commission of $920 on total sales of $14,000, what was the value of r?

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题目： For each of the following issues, select Can Infer Disagreement if, based on the information provided, it can be inferred that the programming company and the online video websites would hold opposing positions on the issue. Otherwise, select Cannot Infer Disagreement.

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题目： Advice from a computer security expert, on passwords used for accessing online accounts:Computer users should use a different password for each online account. They should also use strong passwords, which are hard for hackers to decipher. However, strong passwords are difficult to remember, and this is especially the case for users who have multiple online accounts.Fortunately, software is available for little or no cost that can store and encrypt a user's passwords: the user need only remember one password to access the rest. For users willing to take the time to install the software on a computer and enter all the required data, such software provides one way to comply with security expert's advice. Some versions of the software can even be copied to a portable device, such as USB drive, whereby a user can access passwords from any compatible computer.For a computer user with multiple accounts who would not otherwise use a different strong password on every account, the expert's advice amounts to suggesting that users make certain sacrifices in order to make certain gains. Indicate by appropriate selections in the first and second column which of the items in the third column would describe a sacrifice for this user and which would be a gain. Make only two selections, one in each column.

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题目： Is the number x between 0.2 and 0.7?(1)560x< 280(2)700x > 280

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题目：

Since 1995, Congress has exempted oil companies that have leases issued by the federal government allowing them to drill for deep-water oil off the Gulf of Mexico from royalty payments as an incentive to spur development in times of low oil and gas prices. These leases were supposed to have included a provision that reinstates the royalties should the market prices of oil and gas exceed a certain level. Because of an error by the federal government, however, the language that reinstates the royalties is missing from the more than 1,100 leases issued by the U.S. government in 1998 and 1999. Since the market price of oil and gas has recently risen far above the threshold levels, this error could allow the oil companies to reap a windfall of more than $10 billion through the life of the leases. In response, the government is pressuring the oil companies to renegotiate the leases. The executives of the oil companies strongly oppose renegotiation; all have issued statements stating that they expect the government to honor the terms of the contracts and that renegotiating a duly signed agreement would set a bad precedent.

Which of the following statements best reflects the position of the oil company executives?

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题目：

The children in the second grade at a local elementary school scored lower on tests of math skills this year than the second graders did last year. The school board blames the disappointing results on the budget cuts that forced the school to consolidate several classes of second-grade students, thus depriving them of the individualized attention that they had previously enjoyed.

Which of the following, if true, best supports the explanation offered by the school board for the students' lower test scores?

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题目：

Ecologist: The incidence of alligator attacks on humans in the vicinity of the Blue Lagoon has increased in recent years. Relocating at least half of the Blue Lagoon's alligator population would help decrease the incidence of alligator attacks on humans.

The ecologist's claim relies on which of the following assumptions?

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题目：

Congress has passed a law that scales back the tax credits offered to purchasers of hybrid cars. Because of this, the number of hybrid cars sold each year, which has approximately doubled in each of the last five years, is likely to flatten in the next few years.

Which of the following statements, if true, most weakens the conclusion that the number of hybrid cars sold annually is likely to flatten in the next few years?

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题目：

The legislature of the Philippines voted recently to abolish the death penalty. In contrast, the death penalty remains legal in the United States. The difference in the legality of capital punishment demonstrates that the majority of American citizens believe in the death penalty, while the majority of Filipino citizens do not.

Which of the following is an assumption upon which the above argument depends?