|
|
The recently discovered notes of the writer suddenly revealed that this most timid and shy of women was an intellectual giant guided in both emotional and spiritual activities by a sharp sense of moral courage.
|
|
|
Except for internal networks involve identical operating systems, whose identification protocol is the same, all legacy multi-system networks need software emulators to communicate.
|
|
|
On a certain field trip, the ratio of teachers to students was 3 : 7. What was the number of parents on the field trip?1. On the field trip, the ratio of the number of students to parents was 5:1.2. The number of parents on the trip was less than 20.
|
|
|
While on straight, parallel tracks, train A and train B are traveling at different constant rates. If train A is currently 2 miles behind train B, how many minutes from now will train A be 4 miles behind train B?1. Three minutes ago, train A was 1 mile behind train B.2. Train A is traveling at 80 miles per hour, and train B is traveling at 100 miles per hour.
|
|
|
By what percent did the median annual cost of health insurance in City X increase from 1990 to 2000?1. In 1990, the median annual cost of health insurance in City X was$$\frac{2}{3}$$ of the median annual cost of health insurance in City Y.2. In 2000, the median annual cost of health insurance in City X was$$\frac{6}{7}$$ of the median annual cost of health insurance in City Y.
|
|
|
If a certain factory makes a total of 30,720 wrenches, how many minutes does the factory take to make the wrenches?1. The factory creates the wrenches without interruption at a rate of 32 wrenches per second.2. It takes 4 times as long for the factory to create the wrenches as it does to load them into trucks, and it takes the factory a total of 20 minutes to do both.
|
|
|
$$({\sqrt{{7}+\sqrt{48}}+\sqrt{{7}-\sqrt{48}}})^{2}$$
|
|
OG17
|
An amusement park currently charges the same price for each ticket of admission. If the current price of admission were to be increased by $3, 12 fewer tickets could be bought for $160, excluding sales tax. What is the current price of each ticket?
|
|
|
Is abc = 2?1. ab-22. be = 2
|
|
|
A circular table has a glass center with a diameter of 4x inches, which is surrounded by a metal ring with a width of 2 inches. In terms of x, what fraction of the table's surface is made up by the metal ring?
|
|
|
In a certain shipment of T-shirts, 20 percent are red. Of those shirts, 30 percent are size small. If there are 366 red, small T-shirts, how many T-shirts in total were in the original shipment?
|
|
|
Is x > y?1. 6x > 5y2. xy < 0
|
|
|
Of the following integers, which is the closest approximation to$${(\sqrt{3}+\sqrt{7})}^{2}$$ ?
|
|
|
In the xy-coordinate plane, line l passes through the point (-3, 0). Does line I pass through the point $$(0,\frac{3}{4} ) $$?1. The slope of line l is $$\frac{1}{4}$$2. Line l passes through the point (5, 2).
|
|
|
Is the positive integer n divisible by 6?1. $$n^{2}\over{180}$$ is an integer.2. $${144}\over{n^{2}}$$ is an integer.
|
|
|
The workers at a large construction company reported x percent fewer safety incidents in 2004 than in 2003, and y percent more incidents in 2005 than in 2004. If the workers reported a total of 1,000 incidents in 2003, how many incidents did the workers report in 2005?1. xy – 502. $$y-x-x\frac{y}{100}=4.5$$
|
|
PREP07 Test 1
|
In the xy-plane, at what two points does the graph y = (x + a)(x + b) intersect the x-axis?1. a + b = - 62. The graph contains the point (0, -7).
|
|
|
If N is a positive, three-digit integer, what is the hundreds digit of N?1. The hundreds digit of N + 120 is 7.2. The tens digit of N + 15 is 9.
|
|
|
If x is a positive integer, what is the value of x?(1) The first nonzero digit in the decimal expansion of $$\frac{1}{x！} $$is in the hundredths place.(2) The first nonzero digit in the decimal expansion of$${1}\over{{(x+1)！}}$$ is in the thousandths place.
|
|
|
Four concentric circles share the same center. The smallest circle has a radius of 1 inch. For n greater than 1, the area of the nth smallest circle in square inches,$$A_{n} $$, is given by $$A_{n}=A_{n-1}+(2n-1) \pi $$ What is the sum of the areas of the four circles, divided by the sum of their circumferences, in inches?
|