|
|
 In the figure, AB = AE = 8, BC = CD = 13, and DE = 2. What is the area of region ABCDE ?
|
|
|
Development planners determined the number of new housing units needed in a certain area by using the formula H = kJ, where H is the number of new housing units needed in the area, J is the number of new jobs to be created in the area, and k is a constant. How many new housing units did the planners determine were needed?(1) The number of new jobs to be created was 60,000.(2) According to the formula used by the planners, if 37,500 jobs were to be created, then 7,500 new housing units would be needed.
|
|
OG16 OG17
|
For any positive integer x, the 2-height of x is defined to be the greatest nonnegative integer n such that $${2}^{n}$$ is a factor of x. If k and m are positive integers, is the 2-height of k greater than the 2-height of m ? (1) $$k>{m}$$ (2)$$\frac{K}{M}$$ is an even integer.
|
|
|
Is the integer n even?(1) n – 5 is an odd integer.(2) n/5 is an even integer.
|
|
|
If 30!/10! is written as the product of consecutive integers, the largest of which is 30, what is the smallest of the integers?
|
|
|
If n is a positive integer, which of the following is a possible value of |56 - 5n|?
|
|
|
If $${a}_{1}={1}$$ and $${a}_{n+1}={1}+\frac{1}{a_n}$$ for all $$n \geq 1$$, what is the value of $${a}_{5}$$ ?
|
|
|
Of the following values of n, the value of $$(-\frac{1}{5})^{-n}$$ will be greatest for n =
|
|
|
A certain company expects quarterly earnings of $0.80 per share of stock, half of which will be distributed as dividends to shareholders while the rest will be used for research and development. If earnings are greater than expected, shareholders will receive an additional $0.04 per share for each additional $0.10 of per share earnings. If quarterly earnings are $1.10 per share, what will be the dividend paid to a person who owns 200 shares of the company's stock?
|
|
|
Phobus, one of the satellites of Mars, revolves about Mars at a distance of approximately 5,800 miles from the center of Mars and approximately 3,700 miles from the surface of Mars. If it is assumed that Mars is spherical and the orbit of Phobus is circular, what is the approximate circumference, in miles, of Mars at its equator?
|
|
|
If every car sold last week at a certain used-car dealership was either a coupe or a sedan, what was the average (arithmetic mean) sale price for all the cars that were sold at the dealership last week?(1) The average sale price for the sedans that were sold at the dealership last week was $10,600.(2) The average sale price for the coupes that were sold at the dealership last week was $8,400.
|
|
GWD PREP08 Test 1
|
Although people in France consume fatty foods at a rate comparable to the United States, their death rates from heart disease are far lower in France.
|
|
GWD PREP08 Test 2
|
Currently 26 billion barrels a year, world consumption of oil is rising at a rate of 2 percent annually.
|
|
GWD PREP08 Test 1
|
Turning away from literary realism to write romantic stories about the peasant life and landscape of northern Sweden, in 1909 Selma Lagerlöf was the novelist who became the first woman and was also the first Swedish writer to win the Nobel Prize for Literature.
|
|
GWD PREP08 Test 2
|
In January 1994 an oil barge ran aground off the coast of San Juan, Puerto Rico, leaking its cargo of 750,000 gallons into the ocean, while causing the pollution of the city's beaches.
|
|
GWD PREP08 Test 1
|
A mixture of poems and short fiction, Jean Toomer's Cane has been called one of the three best novels ever written by Black Americans-the others being Richard Wright, author of Native Son, and Ralph Ellison, author of Invisible Man.
|
|
GWD PREP08 Test 1
|
Although energy prices have tripled in the United States over the last two years, research indicates few people to have significantly reduced the amount of driving they do, nor are they making fuel efficiency a priority when shopping for cars.
|
|
GWD PREP08 Test 1
|
Approved April 24, 1800, the act of Congress that made provision for the removal of the government of the United States to the new federal city, Washington, D .C ., also established the Library of Congress.
|
|
GWD
|
Some scientists contend that many species of dinosaur had a metabolism more like a warm-blooded mammal's than a cold-blooded reptile's.
|
|
GWD PREP08 Test 1
|
In an attempt to guarantee the security of its innovative water purification method, the company required each employee to sign a confidentiality agreement prohibiting that its water purification methods be disclosed to companies using an analogous purification process.
|