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Of the 58 people who were accepted into a clinical trial to test the effectiveness of a new drug,17 people were over the age of 65 years. From the 58 people accepted, 10 will be selected to begin the first phase of the trial. Which of the following represents the number of combinations of the 10 people to be selected such that 3 of them are over the age of 65 years?


The figure shows a museum display illustrating the movement of a satellite around the Earth.The two circles shown are concentric, where the inner circle of radius 1 meter represents the Earth's equator and the outer circle of radius 2 meters represents the orbit of the satellite. The part of the equator in the range of the satellite is represented by the shorter arc AB. The satellite makes 6 revolutions around the equator per day. During one day,what is the total amount of time, in hours, that each point on the equator is in the range of the satellite?


From December 31, 1986, to December 31, 1995, approximately what was the average (arithmetic mean) annual increase, in square feet per year, of the total shopping area?
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 large number of people received a letter inviting them to subscribe to a certain magazine. Of the people who received the letter, 40 percent were already subscribers, and 60 percent of this group renewed their subscription.Of the people who received the letter and were not already subscribers, 25 percent subscribed.

Quantity A

The percent of people who received the letter and either subscribed or renewed their subscription

Quantity B

The percent of people who received the letter and neither subscribed nor renewed their subscription
A bowl contains jelly beans, 10 percent of which are green and the rest are blue. To this bowl n green jelly beans and 10n blue jelly beans will be added, where n > 0.

Quantity A

After the 11n jelly beans are added to the bowl, the percent of the jelly beans in the bowl that will be green

Quantity B

10%
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


The shaded region in the xy-plane represents the surface of a pond. A length of 1 unit in the xy-plane represents 5 meters. The average depth of the water in the pond is 0.8 meter.Of the following, which is the best estimate of the total volume, in cubic meters, of the water in the pond?

Quantity A

$$5(2^{x})$$

Quantity B

$$4(3^{x})$$
The table summarizes information about the 72 students in a history class. If a student is to be selected at random from the class, what is the probability that the student will be one who is male or a senior?
From a group of 100 people including Alice and Bob, 40 people are to be randomly selected at the same time to win movie tickets. What is the probability that both Alice and Bob will be selected to win movie tickets?


□, △, ▽, and ⬠ each represent a different digit from 1 to 9.

Quantity A

▽

Quantity B

2
Data set Q contains 10,000 values. The median of the values is equal to the third quartile of the values.

Quantity A

The 60th percentile of the values in Q

Quantity B

The 70th percentile of the values in Q
A certain personal identification number (PIN) for opening garage doors is a sequence of 4 digits, where each digit is selected from the digits 0 to 9. How many such PINs have at least two different digits and are palindromes? (Note: A palindrome is a sequence of characters that reads the same backward and forward. For example, 1221 is a palindrome.)


r, s, and t are number on the number line above.

Quantity A

$$\frac{rs}{t}$$

Quantity B

$$rst$$
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


The length of one side of the above quadrilateral is p, while the length of the other three sides are q, r, and s, respectively.

Quantity A

p

Quantity B

q+r+s
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?

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