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$$x < y < x^{2}$$

Quantity A

$$xy^{2}$$

Quantity B

$$x^{2}y$$

Quantity A

$$\sqrt[4]{17}$$+$$\sqrt[4]{83}$$

Quantity B

$$\sqrt[5]{1,027}$$
Polygon P is a regular hexagon with sides of length n centimeters, where n is a positive integer.

Quantity A

The number of centimeters in the perimeter of P

Quantity B

The number of square centimeters in the area of P
A team has a total of $800 allocated for purchasing outfits for its 14 team members. Each outfit consists of a shirt, a pair of pants, and a cap. The cost per shirt for 6 of the team members is $27.47, and the cost per shirt for rest of the team members is $24.59. The cost per pair of pants for 2 of the team members is $26.88, and the cost per pair of pants for the rest of the team members is $21.08. If the team plans to purchase caps at the same cost per cap for all 14 team members, what is the greatest cost per cap that the team can afford with the remaining allocated money?
For each value x in a list of values with mean m, the absolute deviation of x from the mean is defined as |x-m|.

List K consists of 5 values, all of which are integers. The mean of the values in K is 25, and each value in K is at least 10. For the values in K, what is the greatest possible absolute deviation from the mean?
The increase in electronic retail sales from 2010 to 2012 was what perent of the increase in electronic retail sales from 2015 to 2017?

Give your answer to the nearest whole percent.
In 2016, total retail sales were approximately how many trillion dollars greater than electronic retail sales? (Note: 1 billion=$$10^9$$ and 1 trillion=$$10^{12}$$)
List K consists of 9 distinct positive integers. If the average (arithmetic mean) of the integers in K is 6 and the median of the integers in K is 5, what is the greatest possible range of the integers in K?


The figure shows a normal distribution with mean m and standard deviation d, including approximate percents of the distribution corresponding to the six regions shown.

The random variable Y is normally distributed. The value 100 is at the 14th percentile of the distribution of Y, and the value 200 is at the 34th percentile of the distributioin of Y. Which of the following is the best estimate of the mean of the distribution?
a < b

Quantity A

a-b

Quantity B

|a-b|
A certain ferry transports cars and persons in the cars across a river. The total charge for one trip consists of 2 dollars per car plus 1 dollar for each person in the car. The total charge for one trip for Ann's car and all of the persons in her car is d dollars.

Quantity A

The total number of persons in Ann`s car

Quantity B

d-2


Line segment QT (not shown) bisects angle PQS, and line segment QU (not shown) bisects angle RQS.

Quantity A

The sum of the measures of angle PQT and angle RQU

Quantity B

90 degrees
x < -10

Quantity A

3x+4

Quantity B

-2-x
x is an integer.

Quantity A

$$(-1)^{x}$$

Quantity B

$$(-1)^{x+1}$$
$$0 \lt x_1 \lt x_2 \lt x_3 \lt x_4 \lt x_5$$

The range of the numbers $$x_1$$, $$x_2$$, $$x_3$$, $$x_4$$, and $$x_5$$ is $$r$$.

Quantity A

The range of the numbers $$(x_1)^{2}, (x_2)^{2}, (x_3)^{2}, (x_4)^{2}, and (x_5)^{2}$$

Quantity B

$$r^2$$
In sequence S the first term is an odd integer, the second term is an even integer, and each term after the second term is the sum of the two preceding terms. In sequence T the first term is an even integer, the second term is an odd integer, and each term afier the second term is the sum of the two preceding terms.

Quantity A

The number of odd integers in the first 400 terms of sequence S

Quantity B

The number of odd integers in the first 400 terms of sequence T
A={1, 2, 3, 5} B={1, 2, 4, 6} C={1, 3, 4, 7} For the sets A, B, and C shown, how many elements are in the set A∩(B∪C)?
A list of 491 measurements of mass is ordered from least to greatest. The measurement 29.2 grams occurs once in the list, and 29.2 grams is the nth measurement in the list. A second list consists of the same 491 measurements, ordered from greatest to least. Tihe measurement 29.2 grams is the pth measurement in the second list,where p = 2n-3. What is the value of n ?

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