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In the rectangular coordinate plane, (x, y) is a point on the circle with center O and radius 1, and xy ≠ 0.

Quantity A

|$$x^3 + y^3$$|

Quantity B

1


If x and y are negative integers, which of the following must be a positive integer?
A certain company has 50 printers that print at the same constant rate. Working continuously and simultaneously at that rate, it takes 9 of the printers 5 hours to complete print job A. Working continuously and simultaneously at that rate, it takes n of the printers 3 hours to complete print job A.

Quantity A

n

Quantity B

16


List A consists of the numbers 18, 19, 19, 19, and 20, and

List B consists of the numbers 11, 12-x, 12, 12+x, and 13, where x > 0.

Quantity A

The standard deviation of the numbers in list A

Quantity B

The standard deviation of the numbers in list B


k is an odd positive integer.

Quantity A

The median of the first k even positive integers

Quantity B

The median of the first 2k+1 positive integers


At a certain online bookstore, the price of each book is the same.The total price of a customer order is the sum of the prices of the books in the order plus a shipping fee that is constant regardless of the number of books purchased. Last year the average (arithmetic mean) number of books per customer order was 1.5, and the average of the total prices of the orders was $10.50. Which of the following amounts could be the book price and the shipping fee last year?

Indicate all such amounts.
In a certain apartment complex,the probability that a household selected at random will be one that subscribes to newspaper T is 0.5 and the probability that a household selected at random will be one that subscribes to newspaper W is 0.3. If the probability that the selected household will be one that subscribes to both newspaper T and newspaper W is 0.1, what is the probability that the selected household will be one that subscribes to neither newspaper T nor newspaper W?
In an art history class, 70 percent of the students submitted their assignments on time, and of those who did not, 40 percent submitted their assignments one day late.

Quantity A

The percent of the class who neither submitted their assignments on time nor submitted them one day late

Quantity B

18%


A certain candle store has 1,000 unscented candles, 1,000 blue candles, and 2,000 white candles in stock. Of the blue candles, 75 percent are scented, and of the white candles, 85 percent are scented. If a customer buys all the unscented blue candles and all the unscented white candles, how many unscented candles will remain in stock?
$$d_1, d_2$$, and $$d_3$$ are nonzero digits. $$S$$ is the sum of the three 3-digit positive integers $$d_1d_2d_3, d_2d_3d_1$$, and $$d_3d_1d_2$$. For example, if $$d_1, d_2$$, and $$d_3$$ are 2, 4, and 7, respectively, then S=247+472+724=1,443.

Quantity A

S

Quantity B

111($$d_1+d_2+d_3$$)


The sum of the digits of a two-digit integer is 6 more than the tens digit minus the units digit. What is the units digit?
A 100-dollar bill is exchanged at a bank for bills in denominations of 5, 10, and 20 dollars. If each of the three types of bills is received, what is the least number of bills that could be received?
Which of the following statements about hydrothermal vents can be inferred from the passage?
k is randomly selected from the set of integers from 1 to 100, inclusive.

Quantity A

The probability that (k)(k+1)(k+2)(k+3) (k+4) is divisible by 20

Quantity B

1




Quantity A

The percent of the people surveyed who gave "greater independence" or "paperless statements" or both as reasons

Quantity B

80%


Of the 200 integers in a set, the 65th percentile is 20.

Quantity A

The arithmetic mean of the integers in the set

Quantity B

20


One of the solutions of the equation $$x^{2}+bx+c=0$$ is -3.

Quantity A

$$3b$$

Quantity B

$$c+9$$




In the figure above, all points below the line l satisfy which of the following inequalities?
In triangle ABC, AB=9 and BC=12. Which of the following values could be the perimeter of triangle ABC?

Indicate all such values.


In the figure shown, AB is parallel to EC and the length of ED is $$\frac{1}{3}$$ od the length of AD.

Quantity A

The ratio of the area of triangle ECD to the area of quadrilateral ABCE

Quantity B

$$\frac{1}{8}$$


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