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In a plane, points P and Q are 20 inches apart. If point R is randomly chosen from all the points in the plane that are 20 inches from P, what is the probability that R is closer to P than it is to Q ?
m and n are integers.

Quantity A

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

Quantity B

$$10^{mn}$$


$$\frac{60!-59!}{58!}=$$
n is an integer.

Quantity A

$$(-1)^{n}(-1)^{n+2}$$

Quantity B

1


Which of the following is most nearly equal to$$\frac{2.5*10^{6}}{2.5*10^{6}-3.5*10^{-6}}$$
A research report states that the average (arithrmetic mean) of 120 measurements was 72.5, the greatest of the 120 measurements was 92.8, and the range of the 120 measurements was 51.6.
The information given above is sufficient to determine the value of which of the following statistics?
Indicate all such statistics.
Amy and Jed are armong the 35 people, who are standing in a line, one behind the other, waiting to buy movie tickets. The number of people in front of Amy plus the number of people behind Jed is 24. If there are 15 people behind Amy, including Jed, how many people are in front of Jed?
For which of the following values of x is the units digit of the product $$(2)(3^{x})$$ equal to 4?
How many 6-digit integers greater than 400,000 can be formed such that each of the digits 2, 3, 4, 5, 6, and 7 is used once in each 6-digit integer?
Which of the following CANNOT be the value of k+$$k^{2}$$ where k is a positive integer?
What's the number of n that are either multiples of 5 or multiples of 7 from 1 to 1000, inclusive?
The integer n is the product of five consecutive positive integers. Which of the following integers must be a factor of n?

Indicate all such numbers.
m is a positive integer

Quantity A

The remainder when the sum of $$1999^{m}$$ and $$2001^{m}$$ divided by 7

Quantity B

4


The ratio of A to B is 1:4 before a chemical reaction,   $$\frac{1}{4}$$of A was transformed into B, while at the same time,  $$\frac{1}{4}$$ of B was transformed into A, then what is the ratio of A to B after the reaction.

Give your answer as a fraction.
x > y > $$\sqrt{2}$$

Quantity A

xy

Quantity B

x + y


A hexagon is inscribed in a circle with diameter d.Each of the six sides of the hexagon have the same length, and each of the six angles of the hexagon have the same measure. What is the perimeter of the hexagon in terms of d?
List L consists of 11 different positive numbers. The sum of the 6 smallest numbers in L is 35, and the sum of the 6 greatest numbers in L is 125. If the sum of all the numbers in L is 142, what is the median of the numbers in L?
Each employee in two separate groups of 15 employees, group I and group II, was given a job-performance rating. The standard deviation of the ratings for group I was 8.5 and the standard deviation for group II was also 8.5.

Quantity A

The standard deviation of the 30 ratingss

Quantity B

17




The figure consists of 14 identical equilateral triangular regions. If the area of the figure is $$56\sqrt{3}$$, what is the perimeter of the figure?

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