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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

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

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 O (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


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?

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 fractional 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 1/364 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?
In the xy -plane, the circle with radius 50 and center (0, 0) passes through which of the following points?

Indicate all such points.
What is the units digit of $$2^{2222}$$?
1 < x+y

Quantity A

$$x^{2}$$+$$y^{2}$$

Quantity B

1



Quantity A

x+y

Quantity B

$$\sqrt{(x^2+y^2)}$$



In a circle, the area of the shaded area is 16π

Quantity A

The radius of the circle

Quantity B

5.5


What is the probability that someone randomly selects a number from 100 to 159 inclusive such that the tens digit of the selected number is no more than 3 and the units digit of the selected number is no more than 4?
Give your answer as a fraction.
A certain truck takes 10 trips to transport 2,000 cartons from warehouse A to warehouse B. For each trip except the 10th trip, the truck is loaded to its full carrying capacity of x cartons. On the 10th trip, the truck is loaded with the remaining cartons.

Quantity A

x

Quantity B

210


Quantity A

The number of odd integers between $$\sqrt{12}$$ and $$12^{2}$$

Quantity B

70


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