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题目： In the diagram above, the triangle is equilateral with a side of 2. All three circles are of equal size and all are tangent to each other and to two sides of the triangle. Which of the following is the radius of one of the circles?

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题目： At a certain university, 60% of the professors are women, and 70% of the professors are tenured. If 90% of the professors are women, tenured, or both, then what percent of the men are tenured?

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题目： If points A and B are randomly placed on the circumference of a circle with radius 2, what is the probability that the length of chord AB is greater than 2?

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题目： What is the sum of all possible solutions of the equation$$|x + 4|^{2} - 10|x + 4| = 24?$$

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题目： Fifteen points are evenly spaced on the circumference of a circle. How many combinations of three points can we pick from these 15 that do not form an equilateral triangle?

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题目： In the game of Dubblefud, red chips, blue chips and green chips are each worth 2, 4 and 5 points respectively. In a certain selection of chips, the product of the point values of the chips is 16,000. If the number of blue chips in this selection equals the number of green chips, how many red chips are in the selection?

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题目： How many integers between 1 and$$ 10^{21}$$ are such that the sum of their digits is 2?

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题目： In the coordinate plane, rectangular region R has vertices at (0,0), (0,3), (4,3), and (4,0). If a point in region R is randomly selected, what is the probability that the point's y-coordinate will be greater than its x-coordinate?

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题目： $$({\sqrt{5+\sqrt{5}}-}{\sqrt{5-\sqrt{5}}})^{2}$$=

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题目： In the diagram, ∠L = ∠M = 90°, KL = 4, LM = 8, MN = 10, and JN = JK = 13. What is the area of JKLMN?

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题目： $$(3*10^{20})·(3*10^{-5})$$=

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题目： The points A(0, 0), B(0, 4a - 5) and C(2a + 1, 2a + 6) form a triangle. If ∠ABC=90°, what is the area of triangle ABC?

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题目： If n is an integer, what is the least possible value of n such that $$40,000,000 < 5^{n}$$ ?

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题目： x and y are positive integers such that x < y. If$$6\sqrt{6} =x\sqrt{y}$$ , then xy could equal

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题目： At a certain symphonic concert, tickets for the orchestra level were $50 and tickets for the balcony level were $30. These two ticket types were the only source of revenue for this concert. If R% of the revenue for the concert was from the sale of balcony tickets, and B% of the tickets sold were balcony tickets, then which of the following expresses B in terms of R?