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x, y, and z are consecutive odd integers.

Quantity A

x+y+z

Quantity B

xyz


The average (arithmetic mean) of the six numbers a, b, c, d, e, and f is x. The average of c, d, e, and f is also x.

Quantity A

a+b

Quantity B

2x


A certain device is a rectangular box with dimensions 20 inches by 5 inches by 6 inches. If the device has mass 17 kilograms, then the device`s density is approximately how many kilograms per cubic foot? (Density is the ratio of mass to volume, and 1 foot=12 inches.)
Machine X, working at a constant rate, can perform a job in T hours. Machine Y, working at a different constant rate, can perform the same job in 3T hours. If the two machines work simultaneously at their respective constant rates, how many hours will it take for the machines to perform the job, in terms of T?
For a list of 10 different numbers, the average (arithmetic mean) of the numbers is 22 and the range is 50. If both the least number and the greatest number are removed from the list, then the average of the remaining numbers is 20. What is the greatest number in the list of 10 numbers?
A circular walkway with a uniform width and an inner diameter of 60 feet is to be built. If the length of the outer edge of the walkway must be between 100π feet and 200π feet, which of the following values could be the width, in feet, of the walkway?

Indicate all such values.
Which student wrote the longest articles as measured by the average (arithmetic mean) number of words per article?
The greatest number of words read by a student exceeded the least number of words read by a student by approximately what percent?
Of all the articles read, students C, D, and E read the same 2 articles. In addition to these 2 articles, C and D read the same 10 articles, C and E read the same 5 articles, and D and E read the same 7 articles. How many articles were read by at least one of the three students, C, D, and E?
-4 < x < 2 and -2 < x < 4

Quantity A

|x|

Quantity B

2


$$\frac{2}{x}=\frac{y}{2}$$

Quantity A

x

Quantity B

y


Terry deposits a total of $400 in two different accounts. One account pays 3 percent annual interest and the other pays 5 percent annual interest. The total yearly interest on these investments is $16.

Quantity A

The amount of money that is invested in the account that pays 3 percent annual interest

Quantity B

The amount of money that is invested in the account that pays 5 percent annual interest


The area of square region S is equal to the area of circular region C.

Quantity A

The length of a diagonal of S

Quantity B

The length of a diameter of C


Set S consists of all three-digit positive integers that contain only the digits 1, 2, 3, 4, or 5.

Quantity A

The number of integers in S in which all three digits are different

Quantity B

60


For a positive integer n, the remainder is 3 when it is divided by 7, and the remainder is R when it is divided by 4.

Quantity A

R

Quantity B

2


For x=97, which of the following fractions has the least value?
If the average (arithmetic mean) of three consecutive odd integers is 11, then 7 more than the least of the three integers is
If two different numbers are selected at random from the numbers 1, 2, 3, 4, and 5, what is the probability that their product will be odd?
Last spring, a gardening store bought 100 trees for $6 each to resell to customers. By the end of the year, 20 of the trees were sold for $30 each, 30 of the trees were sold for $50 each, 40 of the trees were sold for $60 each, and 10 of the trees were damaged and not sold. For the 100 trees, what was the average (arithmetic mean) profit per tree?

$_____
An analyst estimates that of the companies surveyed that plan to increase prices, 75 percent will actually increase prices. According to the analyst`s estimate, what is the number of companies surveyed that plan to increase prices but will not actually increase prices?

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