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A pound of tea makes 210 cups of tea, and a pound of coffee makes 40 cups of coffee. If, on the average, a restaurant serves 12 times as many cups of coffee as tea, what is the ratio of pounds of tea to pounds of coffee used at the restaurant?
Kim, Megan, Nina, and Paula are planning to go to a movie theater, where three different movies--A, B and C--are being shown simultaneously in different auditoriums. Each of them will see only one of the movies but not necessarily the same movie as any of the other three people. One possible outcome is that Kim and Megan will see C while Nina and Paula will see A. How many possible outcomes are there?
x > y > 0

Quantity A

$$\frac{x}{y}+\frac{y}{x}$$

Quantity B

2


A certain list contains exactly five numbers. The median of the numbers in the list is 7, the mode (most frequently occurring number) of the numbers in the list is 4, and the average (arithmetic mean) of the greatest and second greatest numbers in the list is 20. What is the average of the numbers in this list?
For one toss of a certain coin, the probability that the outcome will be heads is $$\frac{1}{2}$$. If this coin is tossed 4 times, what is the probability that the outcome will be heads at least 3 times?
In company X, 60 percent of the employees are female. 80 percent of the female employees are college graduates, and half of the female college graduates are new employees.

Quantity A

The percent of the employees in Company X who are not female, not college graduates, and not new employees

Quantity B

8%


Last month a recycling facility received 175 used automobile batteries, all of which arrived at the facility in crates. Each of these crates contained 19, 20, or 21 used automobile batteries.

Quantity A

The number of crates containing used automatic batteries that arrived at the facility last month

Quantity B

9


For how many of the types of transportation in the graphs was the number of ton-miles transported in 1991 more than 4 times the number transported in 1941?
If the total number of ton-miles that were transported increased at a constant rate from 1941 to 1991 approximately what was the total number of ton-miles that were transported in 1986?
From 1941 to 1991, approximately what was the percent increase in the number of ton-miles transported by railway?
What is the remainder when $$8^{43}$$ is divided by 7?


In the survey of employees shown, none cited all three reasons for leaving, but 15 percent cited two of the three reasons. What percent of the employees surveyed cited none of the three reasons in the table?


In quadrilateral ABCD, AB=BC=BD and the measure of angle ABC is 60 degrees What is the measure of angle ADC?
a, b, c, d, e, f, g, h, i, j

Let S be the set of all 10-letter sequences consisting of the 10 letters above.

Let T be the set of all 8-letter sequences consisting of the first 8 letters above.

Quantity A

The number of sequences in S in which f, b, h, and g appear consecutively in that order

Quantity B

The number of sequences in T in which f and b appear consecutively in that order


a, b, c, and d are numbers that are greater than 0 and less than 1.

Quantity A

(a+b)(c+d)

Quantity B

a+b(c+d)


a < b < c < d < e

List S: a, b, c, d, e

List T: a-2, b-1, c, d+1, e+2

Quantity A

The standard deviation of the numbers in list S

Quantity B

The standard deviation of the numbers in list T


A group of n people is categorized as follows.

9 people are taller than 6 feet.

14 people are shorter than $$5\frac{1}{2}$$ feet.

12 people are under 21 years old.

If each person in the group is in at least one of the three categories, then n can be any integer between
A total of $84,000 was invested for one month in a new money market account that paid simple annual interest at the rate of r percent. If the investment earned $420 in interest for the month, what is the value of r?
The passage implies that most popular science writing
$$x^{4}-3x^{2}+2=0$$ and x > 1

Quantity A

x

Quantity B

$$\sqrt{2}$$


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