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190415
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Which option represents the largest number?
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190321
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The surface area of cube A is K times of that of cube B. What is ratio of the volume of cube A to that of cube B?
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190415
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Both X and Y are zinc-copper mixtures. The ratios of zinc to copper in X and Y are 5:7 and 8:7, respectively. If X and Y are mixed in a 1:1 ratio, what is the ratio of zinc to copper in the mixture?
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190415
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A square and a rectangle has the same circumference. The area of the square is 400 more than that of the rectangle. The length of the rectangle is three times the width. What is the area of the rectangle?
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190310 还原机经选题: 数论&代数
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The number of people in the tour group is counted as x. The ticket rules of the amusement park are: when x≤10, the total ticket price is $120; when 11≤x≤20, the total ticket price is 80 + 4x dollars; when x > 20, the total ticket price is 8x dollars. How many people are there in group B?
1: Group A has three fewer people than group B.
2: Group B pays $4 more than group A.
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190310
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In the rectangular coordinate system, the length of AB equals to that of AC. A(0,0), B(1,3). If the coordinates of point C are all integers, then C has 8 possible positions. How many different values does BC have?
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190415
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A and B are regular hexagons. The length of each side of B is 2% longer than that of A. The volume of A is 8. What is the volume of B?
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190310
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The area of a regular hexagon is $$72 \sqrt{3}$$. What is the length of each side of the regular hexagon?
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190310
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Is X an odd number?
1: The minimum prime factor of X is 5
2: The maximum prime factor of X is 11
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190310 还原机经选题: 文字题&几何 730高分节-数学测试
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54x,y12 is a six digit number. x,y can be 3, 5, or 8. The value of x and y may be the same. What's the probability that the number can be divided by eight?
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190310
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Which of the following lines only passes through only one point whose abscissa and ordinate are integers?
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190310
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$$\sqrt[3]{x} = 3$$.$$(\sqrt{x})^6$$ = ?
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190310
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The pulley has three wheels A, B and C. Circle A has a radius of 2. Circle B has a radius of 4. Circle C has a radius of 8. If circle A rotates 3 turns counterclockwise, how many turns does circle B and circle C rotate in total?
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190415 还原机经选题: 数论&代数
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m,n,k are integers.$$\frac{9}{10}$$ < $$\frac{1}{n}$$+$$\frac{1}{m}$$+$$\frac{1}{k}$$ < 1. Is m+n+k > 11?
1:n=2, m=3
2:k=7
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190310
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The outermost player passes the ball layer by layer to the inner player. There are four players on the first layer, three on the second layer and four on the third one. How many kinds of passing methods are possible?
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190310
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$$A_1B_1C_1D_1$$,$$A_2B_2C_2D_2$$,$$A_3B_3C_3D_3$$are square.$$A_1B_1C_1D_1$$,$$A_2B_2C_2D_2$$are midpoints. What is the ratio of the area of the shaded part to the area of the unshaded part?
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190310 还原机经选题: 文字题&几何
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A company consists of managers and employees. What is the total number of people in this company?
1: Managers account for 1/4 of the total number of managers, of which women account for 2/3.
2: The company has a total of 600 male managers.
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190310
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∠A-(∠B+∠C)=0°.∠A=?
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190310
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Is the quadrilateral ABCD a square?
(1)AC=BD
(2)∠A=90°
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190310
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A teacher graded 10 students. If the teacher added X points to the score of each student on the basis of the original one, or reduced Y points to that of each student. What was the difference between the average scores in the two cases?
1:X+Y=20
2:X-Y =4
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