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题目内容
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

$$\frac{1}{4}$$


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?
In year X, for how many of the countries shown was the number of Internet users greater than 15 percent of the population of that country?
In year Y, the ratio of the number of Internet users per 1,000 people in Finland to the number of Internet users per 1,000 people in Japan was closest to which of the following?


In the figure above, a quadrilateral is inscribed in a circle. Line segment AC (not shown) is a diameter of the circle. What is the value of x+y?

x+y=_____
If k is the sum of three consecutive odd integers x, y, and z, where x < y < z, what is the sum of the three consecutive odd integers that immediately follow z?
If n is a positive integer, which of the following CANNOT be the units digit of $$2^{n}-1$$?
Square ABCD is inscribed in a circle of radius 3.

Quantity A

The area of square region ABCD

Quantity B

20


Six more than $$\frac{1}{2}$$ of the number r equals to 14.

Three fewer than the square root of the number w equals 1.

Quantity A

r

Quantity B

w




ABCD is a rectangle.

Quantity A

The combined areas of the triangular regions ABE and ECD

Quantity B

The area of triangular region AED


a and b are consecutive positive integers and a is less than b.

Quantity A

$$a^{b}$$

Quantity B

$$b^{a}$$


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