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If n is a positive odd integer and $$k=n^{3}+2n$$, what is the value of $$ (-1)^{k}-(-1)^{k+1}$$?

Quantity A

$$(-87)^{8}$$

Quantity B

$$(\frac{1}{87})^{-8}$$


m and n are integers.

Quantity A

$$\sqrt{( 10^{2m} )( 10^{2n} )}$$

Quantity B

$$10^{mn}$$


Which of the following is most nearly equal to$$\frac{2.5*10^{6}}{2.5*10^{6}-3.5*10^{-6}}$$
Which of the following is most nearly equal to $$\frac{2.5*10^{6}}{2.5*10^{6} - 3.5*10^{-6}}$$?


Point Q (not shown) is on the number line between -2 and -1. Point R (not shown) is on the number line between 0 and 1. Point S (not shown) is on the number line between 3 and 4

Quantity A

QR

Quantity B

RS




$$y > 1,001$$

Quantity A

$$\sqrt[3]{y}$$

Quantity B

$$\frac{y}{100}$$




The lengths of the two sides of the triangle are 1 and $$\sqrt{2}$$ respectively. What is the range of the length of the third side?
The operation @ is defined for all numbers x and y by the equation x@y=$$x^{2}$$+y

Quantity A

($$\frac{2}{3}$$@$$\frac{2}{3}$$)@$$\frac{2}{3}$$

Quantity B

$$\frac{2}{3}$$@($$\frac{2}{3}$$@$$\frac{2}{3}$$)


A stone was dropped into a still pond and produced concentric circular ripples on the surface of the water. The radius of the outermost ripple increased at a constant rate of x feet per second. If the area of the circular region enclosed by the outermost ripple was 400π square feet 10 seconds after the stone hit the water, what is the value of x?


If 20 red cubes and 7 white cubes, all of equal size, are fitted together to form one large cube, as shown above, what is the greatest fraction of the surface area of the large cube that could be red?
How many different three-digit positive integers are there that are greater than 300 and contain three of the four digits 1, 2, 3, and 4?
A certain desk calendar shows the number of the day of the year and the number of days remaining in the year. If the calendar shows for Saturday, January 1, what does the calendar show for the Tuesday that is 20 weeks after the first Tuesday in January?

The number 24 has the property that it is divisible by its units digit, 4. How many of the integers between 10 and 70 are divisible by their respective units digits?
What's the remainder when $$9^{78}$$ is divided by 5?
$$d$$ is the greatest common divisor of 36 and 60, $$m$$ is the least common multiple of 36 and 60.

Quantity A

$$\frac{36}{d}$$

Quantity B

$$\frac{m}{60}$$


If a=$$(-\frac{1}{37})^{12}$$, which of the following equals to $$37^{-12}$$?
In the xy -plane, the circle with radius 50 and center (0, 0) passes through which of the following points?

Indicate all such points.


The circle in the xy-plane shown has radius 5 and center O. Line l has a slope of $$\frac{1}{2}$$ and passes through the center of the circle. P is the point in the first quadrant at which l intersects the circle. Which of the following represents the coordinates of point P?
A normal distribution of variable X has a mean of 56 and a standard deviation of 4.

Quantity A

The percentage of variable X ranging from 60 to 62

Quantity B

The percentage of variable X ranging from 62 to 64


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