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If k, n, and $$\frac{k}{n}$$ are integers greater than 1, which of the following could be the value of kn?
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?


The figure shows a square in which each of four interior line segments connects the midpoint of a side to a vertex of the square. The area of the shaded regions what fraction of the area of the square?
The standard deviation of n numbers $$x_{1}$$, $$x_{2}$$, $$x_{3}$$,......, $$x_{n}$$, with mean x is equal to $$\sqrt{\frac{s}{n}}$$, where S is the sum of the squared differences, $$(x_{i}- x)^{2}$$ for 1 ≤ i ≤ n.

Data sets K and T have the same number of values.Each value in K is either 0 or 2, and both 0 and 2 occur in K at least once. Each value in T is either 0 or 1,and both 0 and 1 occur in T at least once.

Quantity A

The standard deviation of the values in K

Quantity B

The standard deviation of the values in T


In a local election there are 2 candidates for mayor, 4 candidates for sheriff, and 5 candidates for dogcatcher on the ballot. In each of the three categories a voter may vote for exactly one candidate or none. How many different ways can a vote fill out the ballot?
Four people, including Ito and Kenji, are to be assigned to 3 offices. Two of the offices can accommodate only 1 person and the other office can accommodate 2 persons. If Ito and Kenji cannot be assigned to the same office,how many different assignments of the 4 people to the offices are possible?


Each ● in the table above represents an entry that is the product of the corresponding row and column values. What is the least positive entry of the 45 entries represented in the table?
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%




In the figure, line segment RM, SM, and TM bisect the angles of △RST.

Quantity A

$$\frac{x+y}{2}$$

Quantity B

33


The operation @ is defined by a@b=3a-2b for all integers a and b. If x and y are two integers such that x@y=17, which of the following could be the value of y?

Indicate all such values.
A certain rectangle has perimeter 60.

Quantity A

The length of a diagonal of the rectangle

Quantity B

20




Quantity A

The standard deviation of data set Ⅰ

Quantity B

The standard deviation of data set Ⅱ


In a probability experiment, R and S are independent events such that 0 < P(R) < $$\frac{1}{2}$$ and 0 < P(S) < 1.

Quantity A

The probability that S will occur given that R has occurred

Quantity B

P(R)


Sets R, S, and T are nonempty, and each has the same number of elements. The sets R∩S, R∩T, and S∩T are nonempty, and each has the same number of elements. The set R∩S∩T is empty. Set V consists of all the elements in R that are not in S.

Quantity A

3 times the number of elements in V

Quantity B

The number of elements in the set R∪S∪T


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




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?
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?
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 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


In the rectangular coordinate system shown, how many of the five points Q, R, S, T, and U have coordinates that satisfy the inequality y > -x+3?

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