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In the figure above, $$AD$$ and $$BD$$ are diameters of the larger and smaller circles, respectively. If $$AB=BC=CD$$ what fraction of the area of the larger circular region is shaded?
If the difference in monitor sizes accounts for $$\frac{2}{3}$$ of the difference in price between the Standard and the Deluxe model, how much of the difference in the prices of the two models is not accounted for by the difference in monitor sizes?
The price of the Deluxe Plus model is approximately what percent greater than the price of the Standard model?
In the Standard model, if the ratio of the length to the width of the rectangular monitor screen is $$4$$ to $$3$$, which of the following is closest to the area of the screen, in square inches?
If the average (arithmetic mean) of the integers from $$1$$ to $$n$$, inclusive, is equal to $$17$$, what is the value of $$n$$?
In a company, $$\frac{2}{3}$$ of the employees are women and $$\frac{1}{2}$$ of the employees are college graduates.

Quantity A

The fraction of the employees in the company who are women college graduate

Quantity B

$$\frac{1}{6}$$
Let $$s$$ be the sum of the first $$500$$ positive integers. What is the value of $$2s+501$$?
If $$90$$ percent of $$x$$ equal $$72$$ percent of $$y$$, then $$y$$ is what percent greater than $$x$$?
$$n$$ is an integer.

Quantity A

$$\frac{1}{2^n}$$

Quantity B

$$\frac{1}{3^n}$$

Quantity A

The sum of the integers from $$29$$ through $$89$$

Quantity B

The sum of the integers from $$32$$ through $$90$$
If $$n$$ is an integer greater than or equal to $$0$$, what is the remainder when $$7^{4n+3}+2$$ is divided by 10?
The length of a diagonal of a certain rectangle is less than $$10$$.

Quantity A

The area of the rectangular region

Quantity B

$$50$$


Quantity A

The length of $$DE$$

Quantity B

$$34$$


$$O$$ is the center of the circle and the circle has radius $$2$$.

Quantity A

The area of the shaded region

Quantity B

$$2$$
A string of length $$n$$ inches was cut into equal pieces of length $$\frac{3}{2}$$inches, and no string remained after the cutting was completed. If $$n$$ is a positive integer, what is the least possible value of $$n$$?
The average freshwater supply per person for the United States is projected to decrease $$20$$ percent from 1997 to 2025. Based on the data, which of the following was closest to the average freshwater supply per person for the United States in 1997, in cubic meters?
The average amount of freshwater required per person per year is $$1,700$$ cubic meters. According to the projections, in the year 2025 China will have a freshwater supply of how many millions of cubic meters above the amount required?
If the countries shown are ordered, from least to greatest, by the amount of their total projected freshwater supply for 2025, which of the following represents the country with the least amount followed by the country with the greatest amount?

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