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List A consists of r integers, and list B consists of t integers, where t= 3r. The average(arithmetic mean) of the integers in list A is 20, and the average of the integers in list B is 16.

Quantity A

The average of the r + t integers in lists A and B

Quantity B

17.5


If a+ b= c and b+ c = a, then b =
There are 6 colors available for painting a house. A combination for painting a house consists of one of the 6 colors for the trim of the house and one different color from the 6 colors for the rest of the house. How many different combinations for painting a house are available?
An alumnus contributed $50,000 to a university for research. The university deposited the money in a new account at an annual interest rate of 10 percent, compounded annually, for 2 years. If 60 percent of the interest earned from this account was then withdrawn, what was the total amount left in the account?
The ratio of the lengths of the sides of a triangle is 3 to 4 to 5. If the area of the region enclosed by the triangle is 54, what is the perimeter of the triangle?
If $$\frac{16+\frac{2}{3}}{2+\frac{1}{12}}=\frac{p+700}{p}$$, what is the value of p?

_____


Approximately what fraction of the total revenue from the sale of musical recordings was from the sale of either country or jazz recordings?


If $$\frac{1}{2}$$ of the revenue from the sale of jazz recordings was from the sale of vocal jazz recordings, then revenue from vocal jazz recordings was approximately what fraction of revenue from all vocal recordings?
At a certain high school, 90 percent of seniors who take physics also take calculus and 60 percent of seniors who take calculus also take physics. If 30 percent of seniors at the school take physics, what percent of seniors take calculus?

_____%
Which of the following points lies between the y-intercepts of the two lines 3x+2y = 3 and x- 2y=-1?
What is the ratio of the product (20!) (16!) to the product (22!) (14!) ?


The graphs above show the distribution of men, women, and children who visited a certain zoo in 2008 and 2009. Which of the following statements must be true?

Indicate all such statements.


In the xy-plane, parabola P is the graph of $$y = mx^{2}$$, where m is a constant, and parabola Q is the graph of $$y = k*x^{2}$$, where k is a constant.

Quantity A

m

Quantity B

k


Quantity A

In the xy-plane, the x-intercept of the line determined by the equation y=x+1

Quantity B

0


x > 0 and $$\frac{5}{27}x^{2}=x$$

Quantity A

x

Quantity B

5


In a study of the size of frogs, group I consists of five frogs whose average (arithmetic mean) length is 4.7 centimeters. Group II consists of five frogs whose lengths are 4.3, 4.6, 4.7, 4.8, and 5.1 centimeters.

Quantity A

The standard deviation of the lengths of the five frogs in group I

Quantity B

The standard deviation of the lengths of the five frogs in group II


3x+2y=8

x and y are integers and x > y.

Quantity A

3x+4y

Quantity B

8


x is an integer, and $$\frac{1}{9}$$ < $$3^{x}$$ < 90.

Quantity A

The number of possible values of x

Quantity B

6




The graph above shows the distribution of tickets sold at a local movie theater last Saturday, by type of ticket.

Which of the following statements individually provide(s) sufficient additional information to determine the total number of tickets sold at the theater last Saturday?

Indicate all such statements.
The area of a circle with radius c is less than the area of a square with sides of length kc. Which of the following could be the value of k?

Indicate all such values.

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