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The average (arithmetic mean) of the first n positive integers is 17.

Quantity A

n

Quantity B

33


For a group of 9 steel beams stored together, the average (arithmetic mean) length of the beams is 7.2 meters and the median length is 8.4 meters. Two additional steel beams-one that is longer than all 9 beams and one that is shorter than all 9 beams-will be stored with the 9 beams. For the combined group of 11 steel beams, the average length is m meters and the median length is d meters. Which of the following statements must be true?

Indicate all such statements.
Let x be a positive number. The random variable R is normally distributed with mean x and standard deviation 0.25x. The random variable T is normally distributed with mean 0.5x and standard deviation 0.5x.

Quantity A

P (R <1.375x)

Quantity B

P (T <1.25x)


If a sequence is defined by $$a_{n}=n(-1)^{n}$$ for all integers n from 1 through 499, what is the sum of all the terms in the sequence?
n is an even integer greater than 2

Quantity A

$$\frac{n!}{(\frac{n}{2})!}$$

Quantity B

2($$\frac{n}{2}$$)!


Fred`s suitcase contains 4 shirts, 3 pair of pants, and 2 pair of shoes. A matching outfit consists of any shirts, any pair of pants, and any pair of shoes, except that one of the shirts does not match one of the pairs of pants. How many matching outfits can be selected from Fred`s suitcase?
The reliable production of usable energy through the controlled fusion of hydrogen atoms into helium remains an elusive dream: even the most ardent efforts to achieve it have thus far been _____________.
We wallow in bad news, tales of how things went wrong, but we have only the most _____________ discussions regarding how they might go right.
A single, cheap tablet combining a range of drugs that protect against heart disease was _____________ years ago, but pharmaceutical companies were reluctant to undertake the project because it failed to provide sufficient financial incentive.
Regarding the evidence collected by the Society for Psychical Research, which of the following can properly be concluded from the passage?
The passage is primarily concerned with
Let n be a nonnegative integer such that when 6n is divided by 75, the remainder is 30. Which of the following is a list of all possible remainders when 7n is divided by 75?
The sum of three different positive integers is 11.

Which two of the following statements together provide sufficient information to determine the three integers?

Indicate two such statements.
There are n positive integers. The sum of the numbers is greater than 48, while the arithmetic average of the numbers is 1.2. What is the least value of n?
If k and n are distinct digits and k > n, which of the following is the greatest?
x-y > x

x+y < y

Quantity A

x

Quantity B

y


r > 0

Quantity A

The area of a circular region with radius $$r$$

Quantity B

The area of a circular region with radius $$r^{2}$$


The numbers of employees in three regional offices of a company are n, p, and q, respectively. Each employee from each office mailed a card to each employee in the other two offices. Which of the following represents the total number of cards mailed by the employees?

Quantity A

The number of integer solutions of the equation $$3x^{2}+5x-2=0$$

Quantity B

1




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