What is the area of rectangle ?

(1) The width of rectangle is .

(2) The perimeter of rectangle is .

A small throw rug with a border of uniform width is shown. The width of the rug, not including the border, is 5 feet. What are the dimensions of the rug, including the border?

(1) The border has width of 1 foot and the area of the rug, not including the border, is .

(2) The area of the rug, including the border, is .

On the circle above with center , the length of arc is . What is the circumference of the circle?

Although the theater would increase its revenue by placing a snack bar in the lobby, we should not go forward with this plan. Installing a snack bar in the lobby would not be in everyone’s best interest. If people start bringing more snacks into the theater, the delicate furniture will become dirty more quickly.

The argument depends on which of the following?

Researchers recently found that people who bought passes to individual fitness classes showed up 99 percent of the time, while those bought a package of five passes in advance only showed up 25 percent of the time. One explanation is that the more aware a gym patron is about the cost of a pass, the more likely that patron is to use it.

Which of the following would, if true, best serve as an alternative explanation of the results of the study?

In the context of the passage, the word “contingent” () most closely aligns with which of the following phrases?

Which of the following most closely models the organization of the passage?

Which of the following best conveys the relationship between the statement about the mountains' appearance () and the passage as a whole?

The author of the passage refers to which of the following as evidence for the conclusion stated in ?

Many art historians use Roman copies of Greek statues in order to learn more about Greek sculpture. A problem with this strategy is that statues were often adapted from Greek prototypes to suit the taste of Roman patrons. Indeed, these statues often have distinctive features that are not specific to Greek style.

Which of the following, if true, would most weaken the criticism made above of the art historians’ strategy?

Some prehistoric pots made by the Woodland people have patterned markings that indicate the pot was formed using the paddling method. These patterned markings result only from this particular method. Thus archaeologists’ recent discovery of similar patterned markings on the pots made by the Mill Creek people suggests that the Mill Creek people used the paddling method, not just the coiling method.

In the passage, the author develops the argument by

Previously, the nation of Diaturna made heavy use of imported iron in its steel foundries. Recently, Diaturna adopted legislation that would shift its industrial emphasis from the production of steel to the production of aluminum, which does not require iron. At present, Diaturna harvests more aluminum ore than it uses for industrial purposes, and iron procurement from Diaturnan mines is increasing at a predictable rate. If this shift in mining and production continues, therefore, Diaturnan dependence on foreign countries for metal production will soon decline.

Which of the following would it be most useful to establish in evaluating the argument?

Prolonged exposure to exceptionally violent or chaotic circumstances can cause Post-Traumatic Stress Disorder (PTSD) in some individuals. Psychiatrists in Virginia indicate that the proportion of patients coming to them for treatment of symptoms related to PTSD has increased enormously over the previous five years. Thus, either Virginia has become a much more violent and chaotic place over the last five years or individuals are more sensitive to violence and chaos than they were five years ago.

Which of the following is an assumption on which the argument depends?

The multiple chambers of a cow’s stomach exist to process nutrition from high-fiber plant matter. This process is only necessary because this plant matter is difficult to digest. Therefore, paleontologists’ discovery that the three-toed dinosaur Rumindolus possessed similar multi-chambered stomachs evidences the theory that Rumindolus fed on similarly difficult-to-digest vegetation.

In the passage, the author develops the argument by

Some individuals have an allergic sensitivity to certain proteins, some of which are found in the rubber most often used to make surgical gloves. However, because Manufacturer X does not use those types of rubber in its gloves, individuals who need to use surgical gloves but are allergic to those proteins can use the gloves made by Manufacturer X without risking an allergic reaction.

Which of the following is an assumption on which the argument depends?

The city government of Sporaville has not, in the past, made the purchase of departmental office supplies subject to any approval. A new rule will requires all purchases of office supplies to be approved by the manager of the government office purchasing the supplies. The rule is intended to save the government money by holding a single person accountable for expenses.

Which of the following, if true, provides the strongest reasoning for the city government’s decision?

Consumer advocate: Your company’s cars are likely to require major repairs in the third year after customers buy them. This shows that you intend for your cars to break down at the end of the two-year warranty period.

Car manufacturer: Our cars require fewer repairs in the first five years of ownership than our major competitor’s cars do.

The car manufacturer’s response is flawed as a refutation of the consumer advocate’s argument because it

Microchip Manufacturer’s Press Release: Electronic Analysis Quarterly described the DuoCore k457 as having the lowest failure rate of any computer processor in its category. This indicates that the DuoCore k457 may be the most reliable chip on the market.

Which of the following, if true, most seriously weakens the argument in the advertisement?

The Committee for Road Safety published a press release stating that car tires will develop wear through normal use, and that this wear can cause brake failures and traffic accidents. The committee stated that, on average, such wear can begin to develop in as few as three years. Because of this, most motorists should purchase and install new tires every three years, if not more often.

Which of the following, if true, would most weaken the conclusion above?