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题目内容
The probability that event R will occur is 0.35, and the probability that events R and T will both occur is p. What is the least possible value of p?
Among $$16$$ textbooks purchased by a bookstore, each textbook was either a mathematics textbook or a chemistry textbook, and each textbook was either new or used. Of the mathematics textbooks purchases, $$\frac{1}{2}$$ were used. Of the chemistry textbooks purchased, $$\frac{2}{3}$$ were used. Which of the following could be the total number of textbooks purchased that were used?

Indicate all such numbers.


The circle on the left has radius r and center O, and the circle on the right has radius s and center P. The lengths of arcs ABC and DEF are both equal to 3, and r

Quantity A

x

Quantity B

y
Q is a set of 36 different numbers with the property that if p is in Q, then -p is also in Q. The number 25 is in Q.

Quantity A

The range of the numbers in Q

Quantity B

40
The circumference of circle C is equal to the perimeter of square S.

Quantity A

The ratio of the area enclosed by C to the area enclosed by S

Quantity B

1
In the xy-plane, S is the set of all points (c, d) for which c and d are both integers.

Quantity A

The number of points in S that are a distance of 2 units from the point (7, 5

Quantity B

4
$$x^{2}=4$$ and $$y^{2}=1$$

Quantity A

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

Quantity B

3
a and b are integers, and $$a^{2}+b^{2}=100$$.

Quantity A

a+b

Quantity B

10
The electric power P in a resistor is directly proportional to the square of the electric current I flowing through the resistor. For a given resistor, if the power is 18 watts when the current is 3 amperes, what is the power, in watts, when the current is 4 amperes?
A committee of 4 people consisting of 2 men and 2 women is to be selected from 5 sets of fraternal twins, where each set consists of one man and one woman. If only 1 person from each set of twins may be selected for the committee, what is the total number of distinct committees that can be formed?
a+b=5

Quantity A

$$(a+\frac{b}{4})+(\frac{a}{4}+b)$$

Quantity B

6
When the positive number k is multiplied by itself, the result is $$\frac{1}{2}$$ of k.

Quantity A

k

Quantity B

$$\frac{1}{4}$$
The set S consists of all of the different ordered pairs (x, y) for which x is a positive integer less than 50 and $$y=\frac{1}{2}x+10$$.

Quantity A

The number of ordered pairs in S for which y is not an integer

Quantity B

25
Michael ate $$\frac{1}{6}$$ of the cookies in a full jar of cookies, and Tess ate $$\frac{1}{7}$$ of the remaining cookies in the jar.

Quantity A

The fraction of the cookies in the full jar that were not eaten by either Michael or Tess

Quantity B

$$\frac{5}{7}$$
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
Which of the following indicates all values of b such $$(x-b)^{2}+1$$ is positive?
A demographic study describes a group of corporation executives and non executives having an average (arithmetic mean) age of 42 years. If the executives in the group average 40 years of age and the nonexecutives average 45 years of age, what is the ratio of the number of executives to the number of non executives in the group?
It cost a certain company a total of $4,200.00 to make and sell 3,000 widgets. If the company sold each of the 3,000 widgets for $2.10, what was the company`s profit per widget? (Profit is equal to the selling price minus the cost)

$_____
If the population of the United Kingdom was 60 million in year X, which of the following is closest to the total number of Internet users in the United Kingdom in year X?

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