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a > 1

Quantity A

$$\frac{a}{a-1}$$

Quantity B

$$\frac{a+1}{a}$$


0 < a < b < c

r=$$\frac{a}{a+b+c}$$, s=$$\frac{b}{a+b+c}$$, and t=$$\frac{c}{a+b+c}$$.

Quantity A

The average (arithmetic mean) of r, s and t

Quantity B

$$\frac{1}{3}$$


In a quality control study, 200 boxes of brackets were examined; each box contained 50 brackets. For each box, the ratio, f, of the number of defective brackets in the box to the total number of brackets in the box was recorded. The number of defectives per box varied from 1 to 12, inclusive.

Quantity A

The sum of the 200 values of f

Quantity B

The sum of the squares of the 200 values of f


$$T_1, T_2, T_3, ........., T_k, .........$$

The sequence shown is defined by $$T_1=2$$ and $$T_{k+1}=\frac{1}{3}T_k$$ for each positive integer k.

Quantity A

$$T_5$$

Quantity B

$$(3^{11}) T_{16}$$


Bob`s current salary is 10 percent greater than Sam`s current salary. Bob and Sam will each receive an increase to their respective salaries at the end of the year, and after the increases in their salaries will be equal. If Bob`s increase will equal 5 percent of his current salary, then Sam`s increase will be what percent of Sam`s current salary?
If $$(a+b)^{2}-6(a+b)+9=0$$, what is the value of a+b?


Which of the following gives the area of triangular region PQR in the figure above?


In the equation above, what is the value of x?

x=_____
Of the six states listed in the table, how many contained more than 2 percent of the nonfederal development land in the contiguous United States in 1997?
Which of the following is closest to the percent of federal land in the contiguous United States that was part of California in 1997?
The sales tax on clothing items in Country A is 25 percent of the purchase price of the item, and the sales tax on clothing items in Country B is 20 percent of the purchase price of the item. If the two countries have the same currency and if the price of a certain clothing item is the same in both countries, what percent greater is the amount of sales tax on the clothing item purchased in Country A than the amount of sales tax on the clothing item purchased in Country B?

_____%
A certain box is in the shape of a cube. If the total surface area of the box is 384 square feet, what is the total length, in feet, of all the edges of the box?
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.
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


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