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In a list of 25 different numbers, the average (arithmetic mean) of all the numbers greater than the median is 200, and the average of all the numbers less than the median is 100. If the average of the 25 numbers is an integer, which of the following could be the value of the median?

Indicate all such values.
The primary purpose of the passage is to
Bob`s current salary is 10 percent greater than Sam`s current salary. Bob and Sam will each receive an increase to their respective salaries at the end of the year, and after the increases in their salaries will be equal. If Bob`s increase will equal 5 percent of his current salary, then Sam`s increase will be what percent of Sam`s current salary?
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


Last year and this year, there were both men and women in a certain choir. This year there are x fewer men and x fewer women in the choir than there were last year, where x>0, and there are fewer men than women in the choir.

Quantity A

The percent decrease from last year to this year in the number of men in the choir

Quantity B

The percent decrease from last year to this year in the number of women in the choir


$$\sqrt{x^{2}}$$=9

Quantity A

$$2^{x}$$

Quantity B

$$2^{-x}$$




The figure above represents the floor plan of a basement in which all the walls meet at right angles. The measurements shown in the floor plan, including the two sides of length x, are in centimeters. The floor plan is drawn using a scale of 1 centimeter to 1.5 meters. If the perimeter of the floor is 39.4 centimeters, approximately what is the area, in square meters, of the basement floor?

Quantity A

$$(5^{5})(7^{7})$$

Quantity B

$$((5)(7))^{5+7}$$


Which of the following is equal to $$(3x^{2}+5x-4)-2(x^{2}+2x+1)$$ for all values of x?
The terms $$a_n$$ of a certain sequence are defined by $$a_n=\frac{3}{n(n+1)}$$ for all integers n ≥ 1.

Quantity A

The sum of the first 100,000 terms of the sequence

Quantity B

3






If 50 percent of the calls received during the week about subscription cancellations were received on Friday, approximately what percent of the calls received on Friday were calls about subscription cancellations?


SUVR is a rectangle.

Quantity A

$$\frac{The lengh of ST}{The lengh of TU}$$

Quantity B

$$\frac{The area of △RST}{The area of △TUV}$$


A ball is dropped from a height of 3 meters and bounces repeatedly. After each bounce, it reaches a height that is 65 percent of its previous height. If the height of the ball after the $$n$$th bounce is less than 20 centimeters, which of the following could be the value of $$n$$?

Indicate all such values.
The average (arithmetic mean) of the 4 numbers a, b, c, and d is 1.

Quantity A

a+b

Quantity B

4-(c+d)




Quantity A

|a|

Quantity B

|b|


35 < 5y < 50

12 < y+6 < 15

Quantity A

y

Quantity B

8


Quantity A

$$\frac{2^{27}-2^{24}}{8^{27}-8^{26}}$$

Quantity B

$$2^{-54}$$


Which of the following, if true, provides most support for the archaeologists' contention?


If the responses summarized in the table represent an 80 percent return from the total number of departments receiving the survey questionnaire, how many departments received the survey questionnaire?
A rectangular garden has a diagonal that is 26 feet long. If one side of the garden is between 8 feet and 12 feet long, which of the following values could be thearea, in square feet, of the garden?

Indicate all such values.

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