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Three concentric circles (the largest circle, the middle circle, and the smallest circle) form three areas (the most outer area S, the middle area R, and the most inner area Q). If S=5R, and the radius of the middle and the smallest circle is 30 and 10, respectively, then what is the radius of the largest circle?
Which of the following CANNOT be the median of six different positive integers?

Indicate all such numbers.
A person randomly selects three integers from 1 to 10, inclusive. What is the probability that the selected numbers include at least one odd number and one even number?

Give your answer as a fraction.
The hypotenuse of a right triangle lies on the line y=7x+1, but the legs of the right triangle are parallel to neither x-plane nor y-plane. What is the product of the slopes of all the three sides of the right triangle?
In 1970 approximately what percent of United States residents were older than 5 but younger than 65 years old?
Of the 10 selected years, which had the greatest total number of United States residents in the combined age groups of "5 years and younger" and "65 years and older"?
Of the following which best describes how the number of United States residents that were in the age-group"5 years and younger"changed from 1900 to 1940?
Of the 72 fish in a certain aquarium, $$\frac{1}{3}$$ are brown and the remaining $$\frac{2}{3}$$ are white. Among the 72 fish, $$\frac{1}{2}$$ have orange fins and $$\frac{1}{2}$$ have black fins. If $$\frac{2}{3}$$ of the white fish have orange fins, how many of the brown fish have black fins?
If a rectangular room has length 20 meters, width 10 meters, and height 4 meters, then the volume of the room is how many cubic centimeters?
He listened patiently, encouragingly, and with quiet amusement to my enthusiasm. Indeed, this turned out to be our pattern: I, more ignorant but more (i)____________, would babble on, while he would offer (ii)________________ objection or refinement.
Animals whose behavioral traits are (i)____________ thereby have a level of (ii)____________ when environmental conditions vary. However, studies of animal personality also suggest that the behavior of individual animals can be constrained to certain behavioral types, leading to consistent differences between individuals.
In the twentieth century, many corporations succeeded by ____________ innovation: they found that the surest way to grow was to perfect the manufacturing of the same products, year after year.
In many branches of science, our knowledge and technology have advanced so rapidly that new studies carried out with improved instruments and techniques may well ____________ research done just twenty years earlier.


What is the area of the shaded region shown in the xy-plane?
If 1 < r < s < t < 2, then, of the following, which is closest to $$r+(s*10^{6})+(t*10^{12})$$?
On each side of a parade route, spectators occupy a sidewalk that is 10 feet wide and 1.5 miles long. The parade organizers estimate that the average amount of sidewalk space occupied per spectator is 6 square feet. Based on this estimate, which of the following is closest to the total number of spectators occupying the two sidewalks? (1 mile = 5,280 feet)
r is a positive integer, k = 2r + 1, and h = 5k - 3.

Quantity A

The units digit of h

Quantity B

2


One example of a (i)____________ occurs in a vacuum state in quantum field theory. There, "something" and "nothing" are (ii)____________: it is entirely consistent for there to be nothing, and nonetheless for stuff to show up when we try to detect it.
Since it omits no discovery and no medical scientist of any importance, this book about the history of Western medicine has been justly described by reviewers as not only carefully researched and well organized but also ____________.
Neither Giles, whose every initiative floundered, nor Haldeman, whose only successes were trifling, can be considered ____________ personal triumph.

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