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Point $$Q$$ (not shown) is on the number line between $$-2$$ and $$-1$$. Point $$R$$ (not shown) is on the number line between $$0$$ and $$1$$. Point $$S$$ (not shown) is on the number line between $$3$$ and $$4$$

Quantity A

$$QR$$

Quantity B

$$RS$$




If x and y are numbers such that Ix-7l ≤ 3 and |y-2| ≤ 10, what is the least possible value of y-x?
x > 0

y < 0

Quantity A

$$(x-y)^{2}$$

Quantity B

$$x^{2}+y^{2}$$


Let $$S_8$$ represents the set of integers from 1 to 8, and let $$S_9$$ represents the set of integers from 1 to 9.

Quantity A

The number of the subsets of $$S_8$$

Quantity B

The number of the subsets of $$S_9$$ that contain the integer 9


In a group of 150 people, 40 percent are older than 60 years and 80 percent are employed.Which of the following could be the number of people who are both employed and older than 60 years?
Indicate all such numbers.

Quantity A

x

Quantity B

y+z


A rectangular floor will be completely covered with square tiles, each of which has sides of length 6 inches. If tiles are laid side by side with no space between them and no tiles are cut, then the number of tiles needed to cover the floor is 1,080. Which of the following could be the dimensions of the floor? (Note12 inches=1 foot.)


If a person hits the shaded area, he or she could get 3 points; however, if a person hits the smaller circle, he or she could get p points. If Mark gets 47 points in total, then what`s the possible values of p?

Indicate all such values.
A certain desk calendar shows the number of the day of the year and the number of days remaining in the year. If the calendar shows for Saturday, January 1, what does the calendar show for the Tuesday that is 20 weeks after the first Tuesday in January?


The figure shown consists of a rectangle with length 14 and width 6, together with three isosceles right triangles. What is the area of the entire figure?


The tick marks shown on the number line are evenly spaced. Points D and E have coordinates of $$4^{10}$$ and $$4^{11}$$, respectively. The point that has a coordinate of $$4^{9}$$ is?
How many distinct solutions does the equation |1-|x-215||=1 have?

Point O is the center of the circle.

Quantity A

x+y

Quantity B

90


a and b are two roots of the equation $$x^{2}-x-20=0$$

Quantity A

$$(a-b)^{2}$$

Quantity B

$$(a+b)^{2}$$


List R={x, y, z, 2.7, 3.8, 5.5}

List S={x, y, z, -2.7, -3.8, -5.5}

If the average (arithmetic mean) of the 6 numbers in list R is r and the average of the 6 numbers in list S is s, then r-s is the average of which of the following lists?
Brad and Paula were each given a copy of the same list of 20 songs, and they were asked to mark the songs that they liked. Brad marked 15 songs and Paula marked 12 songs. Which of the following CANNOT be the number of songs that they both marked?
There are 5!, or 120, ways of arranging 5 different solid-colored flags side by side. If the colors of the flags are red, blue, yellow, green, and orange, how many of those arrangements have either the red flag or the blue flag in the middle position?
k and n are both positive even integers

Quantity A

The remainder when $$k^{2}$$ +n is divided by 2

Quantity B

The remainder when $$k^{n}$$ is divided by 2


If the ones digit of $$7^{n}$$ is 9, which of the following could be the value of n?

Indicate all such values.

Quantity A

The remainder when $$3^{64}$$ is divided by 8

Quantity B

1


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