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x and y are integers and 0 < x < y.

Quantity A

$$x^{y}$$

Quantity B

$$y^{x}$$


$$n$$ is the greatest integer for which $$252^{5}$$ is divisible by $$ 6^{n} $$.

Quantity A

$$n$$

Quantity B

$$10$$


If $$x^{2}$$=b and $$ y^{2}$$=q, where x and y are greater than 0, which of the following is equal to $$(x+y)^{2}$$?
After her graduation, Elena attended her class reunion once every year. The first reunion she attended was in year F and the last was in year L.

Quantity A

The number of reunions Elena attended

Quantity B

L-F


If $$\frac{x-1}{4}$$ is an integer, which of the following numbers must also be an integer?

Indicate all such numbers.
A traveler purchased a gift item at a store in Country D, paying only the cost of the item with no taxes or other charges. The traveler paid with 100 United States dollars and received back the correct change in the amount of 203 units of Country D's currency, based on the currency exchange rate that day.

Which of the following statements individually provide(s) sufficient additional information to determine the cost of the item, in United States dollars?

Indicate all such statements.
The number of employees at a certain company on January 1, 2007, was k, which was 15 percent greater than the number of employees at the company on January 1, 2006.

Quantity A

The number of employees at the company on January 1, 2006

Quantity B

0.85k




Zip cola is sold in bottles of four different sizes at the prices shown in the table shown above. What is the minimum amount one could spend in order to buy at least 65 ounces of Zip cola?
Which of the following is equal to $$\frac{1}{5}(30^{7})$$?
In the xy-plane, the point $$(t, t-1)$$ lies on the line with equation $$y=-\frac{1}{2} x +\frac{1}{3}$$. What is the value of $$t$$?

Give your answer as a fraction.
There are 6 colors available for painting a house. A combination for painting a house consists of one of the 6 colors for the trim of the house and one different color from the 6 colors for the rest of the house. How many different combinations for painting a house are available?


In the figure, point O is the center of the circle of radius $$r$$. If the length of arc PQR is $$\frac{\pi}{2}$$, and the area of the shaded region is $$\frac{5\pi}{4}$$, what is the value of $$r$$?


$$x = z = 122$$

Quantity A

$$t$$

Quantity B

$$3$$




PQ is a diameter of the circle.

Quantity A

The length of arc QRS

Quantity B

The length of arc STP


z > 140



Quantity A

y-x

Quantity B

10


The commission's report is free of bureaucratic jargon and, for a document that must have been written by multiple authors, it is remarkably (i)____________ in style. In that respect, the document is an improbable literary triumph; its analysis and recommendations, however, are (ii)____________.
The author would likely agree with which of the following statements about the “black holes [the LHC] could conceivably form"?
The author of the passage makes which of the following claims about the "theorists"?
When there is less natural dust blowing into eastern China, the air quality for millions of people there (i)____________: natural dust plays an important role in determining air temperatures and thereby promotes winds to (ii)____________ human-made pollution. Less natural dust, therefore, means the air becomes (iii)____________, with pollution becoming more concentrated and sticking around longer.
Margaret Oliphant's literary output was ____________: it included almost 100 novels, 50 short stories, 25 nonfictional works, and in the region of 400 articles published in the periodical press.

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