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题目内容
A survey of 300 travelers was taken at an airport. Of these travelers 90 percent were traveling on Airline A. Of those who were traveling on Airline A, 30 percent had first-class seats. Which of the following statements must be true about the 300 travelers?

Indicate all such statements.
Last year 40 percent of the students at College X took Biology I. If all of the science majors and 10 percent of the nonscience majors took Biology I, approximately what percent of the students at College X last year were science majors?
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%
Of 50 people surveyed, 32 people reported that they own a dog and the rest reported that they do not own a dog. Of the same group of people surveyed, 19 people reported that they own a cat and the rest reported that they do not own a cat. If 14 of the people who reported they own a dog also reported they own a cat, how many of the people surveyed reported that they do not own either a dog or a cat?
The students in an elementary school were asked to choose their favorite color from a list of colors. Of all the students, $$\frac{1}{2}$$ chose red. Of the students who did not choose red, $$\frac{1}{4}$$ chose blue. Of the students who did not choose red or blue, $$\frac{1}{5}$$ chose green. What fraction of the students did not choose red, blue, or green?
At Central High School, 25 percent of the male students and 30 percent of the female students are on sports teams. Of all Central High School students, 60 percent are male.

Quantity A

The fraction of the Central High School students on sports teams that are female

Quantity B

$$\frac{4}{9}$$
Of the 45 candidates for a certain job, 20 are married. Of the candidates who are married, 8 do not have a PhD. Of the candidates who are not married, 15 have a PhD.

Quantity A

The number of candidates who do not have a PhD

Quantity B

18
Of the applicants for a job, 6 percent had a degree in computer science and spoke Russian. If 90 percent of the applicants who had a degree in computer science did not speak Russian, what fraction of all the applicants had a degree in computer science?
At a medical clinic, there are exactly 20 medical personnel-8 doctors and 12 nurses. Of these medical personnel, 9 are men, and 3 of the 9 men are nurses. If a doctor is chosen at random, what is the probability that the doctor chosen will be a woman?
In January a company purchased 5,000 gallons of fuel at an average price of $0.96 per gallon. In February the company purchased 6,000 gallons at an average price of $0.90 per gallon.

Quantity A

The amount by which the February fuel cost exceeded the January fuel cost

Quantity B

$600
The lengths of two of the sides of a certain isosceles triangle are 5 and 9.

Quantity A

The perimeter of the triangle

Quantity B

20
$$x^{4}=y^{4}$$

Quantity A

x

Quantity B

y
The operation ● is defined for all numbers a and b by the equation a●b=3a+2b.

Quantity A

(0●1)●2

Quantity B

0●(1●2)




ABCD is a rectangle. E and F are the midpoints of sides BC and CD, respectively.

Quantity A

The area of quadrilateral region AECF

Quantity B

$$\frac{1}{2}$$ the area of rectangular region ABCD
List P consists of all prime numbers between 30 and 100. List S consists of all odd integers between 30 and 100 that are not prime numbers.

Quantity A

The range of the numbers in P

Quantity B

The range of the numbers in S
N is the number of ordered pairs (x, y) such that 4y < 12-3x and each of x and y is a positive integer.

Quantity A

N

Quantity B

3
A={1, 4, 7, 9, 11}

B={3, 4, 5, 6, 7, 8, 9}

For sets A and B above, which of the following sets is a subset of A but not a subset of B?

Indicate all such sets.
A continuous random variable R has a mean of 77 and a standard deviation of 8. What is the value of R that is 2.5 standard deviation above the mean?
A ball is to be selected at random from a bag containing red balls, green balls, and blue balls. The probability of selecting a red ball is equal to x. If the probability of selecting a green ball equals the probability of selecting a blue ball, what is the probability of selecting a green ball, in terms of x ?

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