If x and y are integers, andw = （X2）y + x + 3y, which of the following statements must be true? Indicate all such statements.
A. If w is even, then x must be even.
B. If x is odd, then w must be odd.
C. If y is odd, then w must be odd.
D. If w is odd, then y must be odd.
How many integers from 1 to 900 inclusive have exactly 3 positive divisors?
A. 10 B. 14 C. 15 D. 29 E. 30
In the xy-plane, triangular region R is bounded by the lines x = 0, y = 0, and 4x + 3y = 60. Which of the following points lie inside region R? Indicate all such points.
A.（2, 18） B.（5, 12） C.（10, 7） D.（12, 3） E.（15, 2）
If the sum of four consecutive even integers is 340, then the average of the two larger integers is.
A. 86 B. 86.5 C. 87 D. 87.5 E. 88
Consider the following list of numbers that represent the number of text messages that Geraldine received on 10 consecutive days: 10, 9, 1, 3, 7, 7, 8, 3, 4, 3. Which of the following statements concerning this set of data are true? Indicate all such statements.
A. The median is less than the average （arithmetic mean）。
B. The median is less than the mode.
C. The mode is less than the average.
D. The average of the median and the mode is between 4 and 4.5.
The company at which Mark is employed has 80 employees, each of whom has a different salary. Mark’s salary of $43,700 is the second-highest salary in the first quartile of the 80 salaries. If the company were to hire 8 new employees at salaries that are less than the lowest of the 80 salaries, what would Mark’s salary be with respect to the quartiles of the 88 salaries at the company, assuming no other changes in the salaries?
A. The fourth-highest salary in the first quartile
B. The highest salary in the first quartile
C. The second-lowest salary in the second quartile
D. The third-lowest salary in the second quartile
E. The fifth-lowest salary in the second quartile
A manufacturing company has plants in three locations: Indonesia, Mexico, and Pakistan. The company has 6,000 employees, and each of the employees works at only one of the plants. If 3/8 of the employees work at the plant in Indonesia and if twice as many employees work at the plant in Mexico as work at the plant in Pakistan, how many employees work at the plant in Mexico?
For each of the last 5 years, the population of a colony of beetles increased by 8 percent of the preceding year’s population. If P represents the current population of the colony, which of the following best represents the population 5 years ago, in terms of P?
A.5（1.08P-1） B.（1.08-5）P-1 C.（1.08P）-5 D.（1.08）-5P E.（1.08）-5（P）5
If x>0, and two sides of a certain triangle have lengths 2x+1 and 3x+4 respectively, which of the following could be the length of the third side of the triangle? Indicate all possible lengths.
A. 4X + 5 B. X + 2 C. 5X + 1 D 5X + 6 E. 2X + 17
The Fourteenth Amendment to the United States Constitution, ratified in 1868, prohibits state governments from denying citizens the “equal protection of the laws.” Although precisely what the framers of the amendment meant by this equal protection clause remains unclear, all interpreters agree that the framers’ immediate objective was to provide a constitutional warrant for the Civil Rights Act of 1866, which guaranteed the citizenship of all persons born in the United States and subject to United States jurisdiction. This declaration, which was echoed in the text of the Fourteenth Amendment, was designed primarily to counter the Supreme Court ’ s ruling in Dred Scott v. Sandford that Black people in the United States could be denied citizenship. The act was vetoed by President Andrew Johnson, who argued that the Thirteenth Amendment, which abolished slavery, did not provide Congress with the authority to extend citizenship and equal protection to the freed slaves. Although Congress promptly overrode Johnson’s veto, supporters of the act sought to ensure its constitutional foundations with the passage of the Fourteenth Amendment.
The broad language of the amendment strongly suggests that its framers were proposing to write into the Constitution not a laundry list of specific civil rights but a principle of equal citizenship that forbids organized society from treating any individual as a member of an inferior class. Yet for the first eight decades of the amendment ’ s existence, the Supreme Court ’ s interpretation of the amendment betrayed this ideal of equality. In the Civil Rights Cases of 1883, for example, the Court invented the “state action” limitation, which asserts that “private” decisions by owners of public accommodations and other commercial businesses to segregate their facilities are insulated from the reach of the Fourteenth Amendment’s guarantee of equal protection under the law.
After the Second World War, a judicial climate more hospitable to equal protection claims culminated in the Supreme Court’s ruling in Brown v. Board of Education that racially segregated schools violated the equal protection clause of the Fourteenth Amendment. Two doctrines embraced by the Supreme Court during this period extended the amendment’s reach. First, the Court required especially strict scrutiny of legislation that employed a “suspect classification,” meaning discrimination against a group on grounds that could be construed as racial. This doctrine has broadened the application of the Fourteenth Amendment to other, nonracial forms of discrimination, for while some justices have refused to find any legislative classification other than race to be constitutionally disfavored, most have been receptive to arguments that at least some nonracial discriminations, sexual discrimination in particular, are “suspect” and deserve this heightened scrutiny by the courts. Second, the Court relaxed the state action limitation on the Fourteenth Amendment, bringing new forms of private conduct within the amendment’s reach.
1. Which of the following best describes the main idea of the passage?
A：By presenting a list of specific rights,framers of the Fourteenth Amendment were attempting to provide a constitutional basis for broad judicial protection of the principle of equal citizenship.
B ：Only after the Supreme Court adopted the suspect classification approach to reviewing potentially discriminatory legislation was the applicability of the Fourteenth Amendment extended to include sexual discrimination.
C：Not until after the Second World War did the Supreme Court begin to interpret the Fourteenth Amendment in a manner consistent with the principle of equal citizenship that it expresses.
D：Interpreters of the Fourteenth Amendment have yet to reach consensus with regard to what its framers meant by the equal protection clause.
E ： Although the reluctance of judges to extend the reach of the Fourteenth Amendment to nonracial discrimination has betrayed the principle of equal citizenship
2. The passage suggests that the principal effect of the state action limitation was to
A ：allow some discriminatory practices to continue unimpeded by the Fourteenth Amendment
B：influence the Supreme Court’s ruling in Brown v. Board of Education
C：provide expanded guidelines describing prohibited actions
D：prohibit states from enacting laws that violated the intent of the Civil Rights Act of 1866
E：shift to state governments the responsibility for enforcement of laws prohibiting discriminatory practice
3. The author ’ s position regarding the intent of the framers of the Fourteenth Amendment would be most seriously undermined if which of the following were true?
A：The framers had anticipated state action limitations as they are described in the passage.
B：The framers had merely sought to prevent discriminatory acts by federal officials.
C：The framers were concerned that the Civil Rights Act of 1866 would be overturned by the Supreme Court.
D：The framers were aware that the phrase “equal protection of the laws” had broad implications.
E：The framers believed that racial as well as non-racial forms of discrimination were unacceptable.
4. According to the passage, the original proponents of the Fourteenth Amendment were primarily concerned with
A：detailing the rights afforded by the principle of equal citizenship
B：providing support in the Constitution for equal protection for all citizens of the United States
C：closing a loophole that could be used to deny individuals the right to sue for enforcement of their civil rights
D：asserting that the civil rights protected by the Constitution included nonracial discrimination as well as racial discrimination
E：granting state governments broader discretion in interpreting the Civil Rights Act of 1866
5. The author implies that the Fourteenth Amendment might not have been enacted if
A：Congress’ authority with regard to legislating civil rights had not been challenged
B：the framers had anticipated the Supreme Court’s ruling in Brown v. Board of Education
C：the framers had believed that it would be used in deciding cases of discrimination involving non-racial groups
D：most state governments had been willing to protect citizens’ civil rights
E：its essential elements had not been implicit in the Thirteenth Amendment
6. According to the passage, which of the following most accurately indicates the sequence of the events listed below?
I. Civil Rights Act of 1866
II. Dred Scott v. Sandford
III. Fourteenth Amendment
IV. Veto by President Johnson
A：I, II, III, IV
B：I, IV, II, III
C：I, IV, III, II
D：II, I, IV, III
E：III, II, I, IV
7. Which of the following can be inferred about the second of the two doctrines referred to in lines 39-41 of the passage?
A：It caused some justices to rule that all types of discrimination are prohibited by the Constitution.
B：It shifted the focus of the Supreme Court from racial to nonracial discrimination.
C ： It narrowed the concern of the Supreme Court to legislation that employed a suspect classification.
D：It caused legislators who were writing new legislation to reject language that could be construed as permitting racial discrimination.
E：It made it more difficult for commercial businesses to practice racial discrimination.
Among the Meakambut people of Papua New Guinea, legends are associated with specific caves in the Sepik region, and these legends are _____: only the cave owner can share its secrets.
The maps in this volume are meant not as guides but as _____: they are designed to make the reader think anew about the city.
Although the political science professor’s paper is quite （i）_____ about the government’s problem, suggesting that they are part of （ii）_____ a process, the prognosis for the government is, on the contrary, actually quite auspicious.
A. straightforward D. degenerative
B. circuitous E. comprehensive
C. pessimistic F. spontaneous
It would be na?ve to treat remarks made in diaries or personal letters as giving especially candid access to historical truth or even as being expressions of the writer’s true state of mind, since the （i）_____ for exaggeration and deception in those forms is virtually nonexistent. Diaries and letters are rarely sites for （ii）_____.
D. premeditated manipulation
E. childish theatrics
F. balanced reflection
Up to the 1970s, histories of science tended to be （i）_____ not least in their focus on discoveries and theories that could be read as anticipating later scientific orthodoxies, rather than on those deemed （ii）_____ in their own periods. Historians of science are now routinely far more sensitive on such scores.
A. immersed in D. verisimilitude
B. disdainful of E. objectivity
C. unmoved by F. radicalism
Now that photographic prints have become a popular field for collecting, auctions are becoming more （i）_____. It is not just the entry of new collectors into the field that is causing this intensification. Established collectors’ interests are also becoming more （ii）_____. Those who once concentrated on the work of either the nineteenth-century pioneers or the twentieth-century modernists are now keen to have （iii）_____ collections.