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If 48 percent of the managers surveyed identified both ability to follow directions and computer expertise as an important characteristics to consider, what percent of the managers surveyed identified neither of these characteristics as important to consider?
n is an odd integer between 2 and 10, and n is not a prime number.

Quantity A

n

Quantity B

9


If p and n are prime numbers, p-n=4, and $$\frac{3}{2}$$ < $$\frac{p}{n}$$ < 2, what is the value of p?
A certain box contains 4 red blocks, 5 blue blocks, and 3 yellow blocks. Judy will select one of these blocks at random from the box, put it back in the box, and then again select a block at random from the box. What is the probability that both of the blocks selected will be yellow?
Give your answer as a fraction.
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?
If $$\frac{3x}{2}=\frac{5}{7y}$$ and $$\frac{3y}{5}=\frac{a}{x}$$,what is the value of a ?
Give your answer as a fraction.
Of the total number of students enrolled at University U in the fallof 2008, $$\frac{3}{8}$$ were sophomores and $$\frac{1}{50}$$ were biology majors. Which of the following could be the total number of students enrolled at University U in the fall of 2008 ?
Indicate all such numbers.
n is a positive integer.

Quantity A

The remainder when $$3^{4n}$$ is divided by 10

Quantity B

1




To set a three-letter password for a website, a person selects two letters from the 33 alphabet and use one letter twice. How many different passwords are possible?

Quantity A

The number of different prime factors of 500

Quantity B

The number of different prime factors of 360






The figure shows the design of a mosaic tile in which the four sides of the square are the diameters of four intersecting semicircles. Small blue stones are to be placed in the shaded regions and will cover 95 percent of the area of these regions. If each side of the square has length 2 feet, approximately how many square feet of the tile will be covered by the blue stones?
A certain benefits and incentives package consists of 2 benefits to be chosen from the benefits offered by more than $$\frac{1}{2}$$ of all the companies surveyed and 1 incentive to be chosen from the incentives offered by more than $$\frac{1}{3}$$ of all the companies surveyed. How many such packages are possible?
The ratio of the number of companies offering both a stock-options incentive and one of the benefits listed to the number of companies offering that benefit is greatest for which of the five benefits?
A box at a yard sale contains 3 different china dinner sets, each consisting of 5 plates. A customer will randomly select 2 plates to check for defects. What is the probability that the 2 plates selected will be from the same dinner set?
On a certain map, 1 centimeter represents 5 kilometers. On the map, region X has an area of 6.4 square centimeters.

Quantity A

The actual area of region X

Quantity B

150 square kilometers


Which of the following is most nearly equal to $$\frac{2.5*10^{6}}{2.5*10^{6} - 3.5*10^{-6}}$$?
If x, y, z are positive integers, and x+y+z=7, then how many different solutions are there?
X and y are both integers from 1 to 10,inclusive, and Set S consists of all the possible products of x*y.

Quantity A

The number of odd integers in Set S

Quantity B

The number of even integers in Set S


a and b are positive integers and ab=24

Quantity A

$$a^{2}$$b

Quantity B

192


A positive integer n is a factor of 200 but not a factor of 100. Also, 5 is a factor of n but 25 is not a factor of n. What is the value of n?

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