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题目内容
A large number of samples of water were tested for the presence of two different minerals, $$X$$ and $$Y$$. Of all the samples tested, 52 percent showed the presence of $$X$$, 18 percent showed the presence of $$Y$$, and 10 percent showed the presence of both $$X$$ and $$Y$$.

Quantity A

The percent of all the samples tested that showed the presence of neither X nor Y

Quantity B

$$34%5$$
In a survey of 300 television watchers, $$\frac{1}{5}$$ said they like news programs and $$\frac{1}{4}$$ said they like sports programs.

Quantity A

The greatest possible number of those surveyed who said that they like both news programs and sports programs

Quantity B

$$60$$
In a group of 38 college students, 28 are sophomores and 15 are chemistry majors. Which of the following could be the number of students in the group who are both sophomores and chemistry majors? Indicate all such numbers.
In a survey of 100 teenagers, 71 of the teenagers reported using at least one of three social media sites-$$A, B$$, and C-and 30 reported using all three sites. At least 15 of the teenagers reported using only site A and at most 15 of the teenagers reported using only site $$B$$. Which of the following values could be the number of teenagers who reported using only site $$C$$? Indicate all such values.
Three people are in the process of reviewing 50 grant proposals. The numbers of proposals that each has reviewed so far are 32, 28, and 25, respectively.

Quantity A

The number of proposals that have been reviewed by at least 2 reviewers

Quantity B

$$32$$
10, 13, 16, 19, 22……… The first term in the sequence shown is 10, and each term after the first is 3 greater than the previous term. What is the value of the 92nd term in the sequence?
A bag contains only red marbles and blue marbles and contains at least two of each color.

Quantity A

The probability of drawing a red marble after an additional blue marble has been placed in the bag

Quantity B

The probability of drawing a red marble after one of the red marbles has been removed from the bag
For each order of envelopes, a company charges d dollars per box for the first 100 boxes and $$\frac{2d}{3}$$ dollars per box for any boxes in excess of 100. lf the company charges $660 for an order of 250 boxes of envelopes, what is the value of d?

Quantity A

$$w(2x+2y+2z+1)$$

Quantity B

$$2w(x+y+z)$$
If $$p \gt 0$$ and $$q-p=2$$, then $$\frac{q^2-1}{p+1}=$$
a \lt b

Quantity A

$$b-a$$

Quantity B

$$b+a$$
$$0 \lt3x \lt 2x^2$$

Quantity A

$$x$$

Quantity B

$$\frac{3}{2}$$
In the xy-plane, the slope of line p is $$\frac{1}{2}$$.

Quantity A

The slope of a line that is perpendicular to line p

Quantity B

$$1$$
In the xy-plane, the vertices of triangle RST have coordinates $$(-k, k), (k, 2k)$$, and $$(k+2, k)$$, as shown. What is the area of triangle RST in terms of $$k$$?


If lines $$s$$ and $$t$$ shown are parallel, how many points in the plane of these lines are equidistant from all three lines?

Quantity A

$$x+y$$

Quantity B

$$200$$
Triangle RST is an isosceles triangle, and the degree measure of angle $$S$$ is greater than the degree measure of angle $$R$$.

Quantity A

$$RS$$

Quantity B

$$ST$$
In triangle $$RST$$, the measure of angle R is $$60°$$ and the measure of angle T is $$45°$$. lf p is a point on line segment $$RT$$ such that $$SP⊥RT$$, the length of which of the following line segments is least?
In the figure the small rectangular region represents a flower garden with dimensions $$x$$ feet by $$y$$ feet, and the shaded region between the two rectangles shown represents a walkway 4 feet wide around three sides of the garden. Which of the following represents the area of the walkway, in square feet?
The circle shown has center O and radius 27.

Quantity A

The length of arc RST

Quantity B

$$15π$$

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