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On level ground, each of two vertical radio towers is 50 meters away from an observer. The distances between the observer's eye and the tops of the two towers are 235 meters and 190 meters. Which of the following is closest to the number of meters by which the height of the taller tower exceeds the height of the shorter tower?
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The area of triangular region PQR is 16.
Quantity A: The length of PQ
Quantity B: 8
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The area of the shaded triangular region is 1/5 of the area of the triangular region RST
Quantity A: $$RW$$
Quantity B: $$(1/5)(RS)$$
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In the figure, $$ABCE$$ is a square. What is the area of quadrilateral $$ABCD$$?
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The figure above shows a washer in the shape of a circular ring. The diameter of the outer circle is 7 centimeters and the diameter of the inner circle is 5 centimeters. The outer edge of the washer is approximately how many centimeters greater than the inner edge of the washer?
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A large cube is to be formed by placing together 27 identical white cubes as shown. The large cube will then be placed on a floor, and the 5 exposed faces will be painted black. How many of the original 27 cubes will have exactly 2 black faces?
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The apex of a pyramid is directly above the center of its square base, and the distance from the apex to the center of the base is 12. If the length of each side of the square base is 10, what is the total surface area of the pyramid?
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The ratio of the amount spent on basic research in 1995 by the Department of Health and Human Services to the corresponding amount spent by the National Science Foundation was approximately
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lf 55 percent of the airtime spent by Station C on general news was spent on crime news, what percent of Station C's total airtime during late local newscasts was spent on crime news?
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For the 90-day period shown, approximately what was the total number of hours of airtime spent on advertising during Station C's late local newscasts?
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For Station D's late local newscasts, excluding the airtime spent on “other" program segments, what was the median airtime, in minutes, spent on the remaining five program segments listed?
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The relative frequency distributions of the values in data set A and data set B are shown in two histograms, where each interval shown includes its left endpoint and excludes its right endpoint. The number of values in A is 2 times the number of values in B, Data set C consists of the values in A and the values in B. Which of the following could be the median of the values in C?
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List A contains 11 different positive integers that are less than or equal to 20. List B contains all the integers in A except for the greatest integer. The average (arithmetic mean) of the integers in A is $$x$$ , and the average of the integers in B is $$y$$ .
Quantity A: $$x$$
Quantity B: $$y+1$$
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The average (arithmetic mean) of the five numbers $$x_1$$ , $$x_2$$ , $$x_3$$ , $$x_4$$ and $$x_5$$ is $$v$$. If the average of the five numbers $$x_1-v$$ , $$x_2-v$$ , $$x_3-v$$ , $$x_4-v$$ and $$x_5-v$$ is $$w$$ , then $$w$$ =?
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A teacher has three classes that took the same test. The number of students and the median scores for each class are shown in the table.
Quantity A: The median score for the 62 students
Quantity B: 75
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The standard deviation of the numbers in list K is 9/4. The numbers in list J are created by multiplying each number in K by 6 and then adding 2 to the result. What is the standard deviation of the numbers in J?
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Throughout human history, religion and other areas of culture have always been (i) _____________. Secularized cultural domains have often (ii) _____________ religious symbols for expressing values, while religion has often drawn its symbols from (iii) _____________, whether social, political, or economic.
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Any dissent within the company is necessarily _____________ because of the overwhelming preponderance of the company president's supporters, who quickly quash all opposition to her policies.
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