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题目： The numbers a, b, and c are all positive. If $$b^2 + c^2 = 370$$, then what is the value of$$ a^2 + c^2$$?Statement #1: a – b = 3Statement #2:$${ (a + b)\over(a – b)} = 7$$

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题目： In the diagram, JKLM is a square, and P is the midpoint of KL. Is JQM an equilateral triangle?Statement #1: ∠KPQ = 90°Statement #2: ∠JQP = 150°

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题目： If$$ x^2 + 2xwy + 3wy^2 = 144$$, and if x & y & w are all positive, then what is the value of (x + 3y)?Statement #1: x + 2y = 11Statement #2: w = 3

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题目： If x and y are positive integers, is y a prime number?(1) xy is a prime number.(2) $$y^2$$ is even.

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题目： The numbers a, b, and c are all non-zero integers. Is a > 0?Statement #1: $$b^2 = a$$Statement #2:$$\sqrt{c}=a$$

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题目： If m and n are positive integers, is $$\mathbf(\sqrt{m}\mathbf)^{n}$$ an integer?(1)$$\sqrt{m}$$ is an integer.(2)$$\sqrt{n}$$ is an integer.

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题目： A box contains only white balls, red balls and green balls. What is the probability of selecting a ball that is either red or white?(1) The probability of selecting a white ball at random is$$\frac {2}{5}$$(2) The probability of selecting a green ball at random is$$\frac {1}{3}$$

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题目： Q is a cube. What is the volume of the cube?Statement #1: The total surface area of Q is 150 sq. cmStatement #2: The distance from one vertex through the center of Q to the opposite vertex is $$5\sqrt{3}$$

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题目： If d is a decimal, is d $$ \ge $$ 1.55?(1) When d is rounded to the nearest tenth, the result is 1.6(2) When d is rounded to the nearest integer, the result is 2

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题目： If x and y are positive integers, is $$ \frac{X}{Y}$$$$\lt$$$${X+2}\over{Y+3}$$? Statement #1: y > 20 Statement #2: x < 5

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题目： In the diagram above, O is the center of the circle and angle AOB = 144º. What is the area of the circle? Statement #1: The area of sector AOB is 40% of the area of the circle Statement #2: Arc ACB has a length of 14$$\pi$$.

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题目： What is the value of x?Statement #1:$$(x – 5)^2$$=0Statement #2: $$(x – 3)^2$$ = 4

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题目： The numbers a, b, and c are all non-zero integers. Is a > 0?Statement #1: $$b^3$$ = aStatement #2: $$\sqrt[3]{C}$$=a

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题目： If$$2^{x}+2^{y}=x^{2}+y^{2}$$ , where x and y are nonnegative integers, what is the greatest possible value of |x-y|?

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题目： Is y > x?Statement #1: y = x + 1Statement #2: y = $$x^2$$ + 1