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200301
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x and y are both greater than 0,what is the value of √x-√y?
(1). √x-√y=2*4√xy
(2). x^2-y^2=2xy
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200301
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s, r, t are integers,is t/(s^2) an integer?
(1). t/sr is an integer
(2). r/s is an integer
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200301
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A triangular pyramid with each side equal to each other, and one of the sides is 8 in length. What is the surface areas of the triangular pyramid?
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200301
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Insert two symbols “+” in 1,2,3,4,5 to form the number X, and the two symbols must be separated by at least one number, for example: insert a symbol between 2 and 3, and a symbol between 4 and 5, X=12+34+5=51, is X even?
(1). X is a three-digit number
(2). there is a symbol between 1 and 2
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200301
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A circle and a square have the same area. What is the ratio of the diagonal of the square to the diameter of the circle?
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200301
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If $$\frac { 1 } { n + 1 } < \frac { 1 } { 31 } + \frac { 1 } { 32 } + \frac { 1 } { 33 } < \frac { 1 } { n }$$, and n is a positive integer, what is the value of n?
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200301
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A and B started from the same point and ran in the same direction. B started 30s earlier than A, and A was 5 meters per second faster than B. A caught up with B after A ran 1800 meters. How long did it take A to catch up B?
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200301
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If $$a_1$$,$$a_2$$ ,$$a_3$$ …$$a_n$$ is the sequence such that $$a_1=4$$ and $$a_n = a_{n-1}$$ for all positive integer n, what is the value of $$a_t$$ in terms of t ?
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200301
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Tom bought two computers-A and B. One was sold at 25% less than the purchase price, and the other was sold at 25% higher than the purchase price. The final price of the two computers was 2,000. After the two computers were sold, what was the Tom's profit or loss on these two computers?
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200301
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Tower X is 50 meters high and Tower Y is 200 meters high. Tower Y is 300 meters to the right of tower X and a building is to be located 100 meters from the right of X. What is the greatest possible height of the building, if the building cannot obstruct the sunlight?
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200301
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Seven different points on a circle can be connected to form different polygons. What is the ratio of the number of formed triangles to the number of formed quadrilaterals?
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200301
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As shown in the figure, the four circles are tangent to each other, and the radius is r, so what is the area of the shaded part?
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191031
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There are 50 people in total, of which 18% have no cell phone, 20% have no computer, and 4% have neither cell phone nor computer. How many people have both a mobile phone and a computer?
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191031
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A composition is 96 pounds and contains W, X, Y, Z, where W:X:Y = 1:3:4, Y:Z = 5:2. how many pounds Y is?
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190215
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The equilateral triangle ABC is inscribed on the circle O. What is the ratio of the circumference of circle O to the circumference of triangle?
1: The area of a circle is s $$cm^{2}$$, and the circumference of a triangle is s cm.
2: The radius of the circle is r cm.
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190215
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D is the center of the circle. There are three points A, B and C on the circle. ∠ABC=?
1:∠CAD=70°
2:∠DAC=55°
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190302
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EF is tangent to a circle. ∠EBA=?
1:AC goes through the center of the circle.
2:∠BAC=55°
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190302
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($$\frac{1}{3^{2}-$$\frac{1}{3}$$*$$\frac{1}{4}}$$($$\frac{1}{3^{2} }$$+$$\frac{1}{3}$$*$$\frac{1}{4}$$}$$=
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190302
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$$t^{3}$$=3. $$t^{2}$$=?
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190302
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x+y=z. Is y > 0?
1:y=x+z
2:x=y+z
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