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题目内容
The difference of two positive integers is 2, while the difference of their squares is 100.

Quantity A

The sum of the integers

Quantity B

50
Triangle ABC is equilateral. Vertices P, Q and R of triangle PQR lie on sides AB, AC, and BC, respectively.

Quantity A

The sum of the measures of two of the interior angles of triangle ABC

Quantity B

The sum of the measures of two of the interior angles of triangle PQR
$$p$$, $$q$$, $$r$$, and $$s$$ are different positive prime numbers.

Quantity A

The greatest common factor of $$p^{2}qr$$ and $$qr^{2}s$$

Quantity B

$$qr$$
If a < b, which of the following must be true?
The probability that each toss of a certain coin will result in heads is $$0.5$$. If the probability that $$n$$ tosses of the coin will each result in heads is greater than $$0.0002$$, what is the greatest possible value of $$n$$?
x is a negative integer and y=2(x-3).

Quantity A

y

Quantity B

0
$$1.25+y^{2} < 2$$

Quantity A

y

Quantity B

0.88


Quantity A

The measure of angle BCA

Quantity B

45 degrees
The original price of a dress was greater than $60. Maria bought the dress at a sale price that was equal to 80 percent of the original price. The tax Maria paid on the dress was equal to 4 percent of the sale price.

Quantity A

The dollar amount of the tax Maria paid on the dress

Quantity B

3% of the original price of the dress
For each value x in a list of numerical data with mean m, the deviation of x from the mean m is defined as x-m.

List W consists of 25 different values. The mean of the values in W is 10, and one of the values is 39.

Quantity A

The sum of the deviations of x from the mean 10 for all values x in W except the value 39

Quantity B

0
Five distinct positive integers are less than or equal to 20. The sum of the five integers is 87.

Quantity A

The least possible value of the five integers

Quantity B

14

Quantity A

$$\sqrt{32}+\sqrt{38}$$

Quantity B

$$\sqrt{35}+\sqrt{35}$$
A certain pyramid in Egypt has a height of 138.8 meters and a square base with each side of length 230.4 meters. Approximately what is the volume, in millions of cubic meters, of the pyramid? (Note: The volume of a pyramid is $$\frac{Bh}{3}$$, where B is the area of the base and h is the height.)


If 3 different points are to be chosen at random from the 7 points shown on the circle, what is the probability that the 3 points will be the vertices of a triangle?
Set A contains 12 elements, set B contains 15 elements, and set C contains 18 elements. If the set A∪B∪C contains 28 elements, which of the following sets must be non empty?

Indicate all such sets.
According to a certain model, if the purchase price of a car is p dollars and the annual rate of depreciation is r percent, compounded annually, then the value v of the car, in dollars, n years after it was purchased is given by the formula $$v=p(1-\frac{r}{100})^{n}$$. If the value of a car 4 years after it was purchased is $$\frac{3}{4}$$ of the purchase price, approximately what is the annual rate of depreciation?
Regular hexagon H and regular octagon K have equal perimeters. If the length of a side of H exceeds the length of a side of K by 24, what is the length of a side of K?


In 2017, for how many of the programming languages was the number of job postings between $$\frac{1}{9}$$ and $$\frac{1}{3}$$ of the total number of job postings for the programming languages shown?


Which of the following is the best estimate of the greatest percent decrease from 2017 to 2018 in the number of job postings for the programming languages shown?


Based on the information given, which of the following statements are true? Indicate all such statements.

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