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n is an integer greater than 10.

Quantity A

The sum of the reciprocals of the first 2n positive integers

Quantity B

1 more than the sum of the reciprocals of the first n positive integers


Tom has 40 movies in total. In that, 17 of them are action movies, 14 are comedy movies, and 9 are history movies. If Tom wants to arrange his movies such that all the action movies are together, and all comedy movies together so that he can arrange his history movies together and in the chronological manner in which the histories have taken place. How many ways he can arrange?
x ≠ y

nx + ky = ny + kx

Quantity A

n

Quantity B

k




If p is an even integer, which of the following must be an odd integer?
If $$\frac{1}{x+1}-\frac{1}{x}$$=$$-\frac{1}{12}$$, then x could be
A certain toy company manufactures tricycles at a cost of $750 for a batch of 50 small tricycles and at a cost of $1,000 for a batch of 50 large tricycles. The company sells small and large tricycles for $75 and $110, respectively. Which of the following represents the number of dollars profit that the company makes from the sale of 700 small and 600 large tricycles? (Profit is sales minus cost.)
What is the product of the different positive prime factors of 3,528?
The mean of the values in a data set is 40, and the standard deviation of the values is d. The value 50 is 2 more standard deviations above the mean than the value 42 is. What is the value of d?


What is the greatest possible percent of people surveyed who use all of the methods listed?


The number of people surveyed who use the method "join a health club" is what percent greater than the number who use the method"exercise with friends or family"?

_____%
Tatiana played a number of games of chess last month, and each game resulted in a win, draw, or loss. The ratio of the number of wins to the number of draws to the number of losses was 5 to 9 to 3. If Tatiana won 6 more games than she lost, how many games of chess did she play last month?
If one letter will be randomly selected from the word UTAH and one letter will be randomly selected from the word MAINE, what is the probability that the two letters selected will not be the same?


The table shows the relative frequency distribution of the numbers in data set B. Which of the following boxplots is a summary of the numbers in data set B?

A rectangular piece of sheet metal has a width of w centimeters, where w ≥ 30. The length of the sheet metal is 3.5 times its width. If squares with sides of length 10 centimeters are removed from each corner of the sheet metal and the sides are folded up to make an open box, what is the volume of the box?
Jamie claimed that if n is a positive integer, then $$4n^{2}- 3$$ must be a prime number. Which of the following values of n could be used as a counterexample to show that Jamie's claim is not true?

Indicate all such values.
How many positive integers less than or equal to 29 can be expressed as the product of two different integers greater than 1?
The integer k is the product of four different prime numbers. If k divided by 22 is a multiple of 13, which of the following could be equal to k divided by 11?
x> 0

Quantity A

$$\frac{1}{9}$$ of x

Quantity B

11 percent of x


What is the least possible product of 4 different integers, each of which has a value from -5 to 5, inclusive?
The product of nine consecutive integers is 0.

Quantity A

The sum of the nine integers

Quantity B

30


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