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Of the 3-letter words listed by Player A or Player B, 4 words were listed by both players. How many of the 3-letter words listed were listed by only one of the two players?
What is the average (arithmetic mean) number of letters per word in the words listed by Player B?
A certain museum contains a total of 1,500 works of art, of which 800 are paintings. Of the twentieth-century works of art in the museum, 40 percent are paintings. Of the works of art that are not paintings, 490 are not twentieth-century works of art.

How many twentieth-century works of art does the museum contain?
1+2+3+......+n=$$\frac{n(n+1)}{2}$$

For each integer n greater than 1, the sum of the first n positive integers is given by the formula shown.

If the average (arithmetic mean) of the first n positive integers is k, what is the sum of the first n positive integers in terms of k?


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?
A box contains 6 cards, numbered 1, 2, 3, 4, 5, and 6, respectively. If one of the 6 cards is to be selected at random, what is the probability that the number on the card selected will be greater than 3 or even or both?
-3 < x < 7

Quantity A

x-2

Quantity B

6


At a certain sale, the price of a jacket was reduced by 5 percent and the price of a pair of slacks was reduced by 20 percent.

Quantity A

The dollar reduction in the price of the jacket

Quantity B

The dollar reduction in the price of the pair of slacks


Quantity A

The product of the positive prime factors of 30

Quantity B

The sum of the positive prime factors of 30


$$(3^{x})(3^{y})$$=1

Quantity A

x+y

Quantity B

1




Quantity A

x

Quantity B

y


s and t are positive integers such that st=30.

Quantity A

The least possible value of s+t

Quantity B

13




The figure shows the standard normal distribution, with mean 0 and standard deviation 1, including approximate probabilities corresponding to the six intervals shown.

The random variable X is normally distributed with mean 140 and standard deviation 12.

Quantity A

P(125

Quantity B

P(152


Last month Paul and Jack each sold newspaper and Paul sold 5,000 more newspaper than Jack. If Paul and Jack sold a combined total of 35,000 newspaper last month, what fraction of this combined total did Jack sell?
A shop sells only two types of beverages: coffee and teas. If 36 percent of the shop`s beverages are teas that have caffeine and 60 percent of the shop`s teas have caffeine, what percent of the shop`s beverages are coffees?
List L consists of the integers from 1 to 99 and two integers c and d such that c+d=100 and cd < 0. Which of the following statements must be true?

Indicate all such statements.
Among the incoming students at a certain college, an equal number of full-time and part-time students received a welcome package. If $$\frac{3}{16}$$ of the incoming full-time students and $$\frac{5}{12}$$ of the incoming part-time students received a welcome package, what fraction of the incoming students received a welcome package?
A circle in the xy-plane is given by the equation (x-a)2+(y-b)2=c2, where a, b, and c are nonzero constants. If the point (b+a, b-a) lies on the circle, which of the following is an equation of the tangent line to the circle at this point?
If the range of the average daily electric use for the months from January to June in 2015 was x kilowatt-hours less than that for the months from July to December in 2015 and if the range of the average daily electric use for the months from January to June in 2016 was y kilowatt-hours less than that for the months from July to December in 2016, approximately what is the value of x-y?
The total electric use, in kilowatt-hours, for the 31 days in March, the 30 days in April, and the 31 days in May was approximately how much greater for 2016 than for 2015?

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