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 还原机经选题: 数论&代数
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If n, m, and k are positive integers, and $$\frac { 9 } { 10 } < \frac { 1 } { n } + \frac { 1 } { m } + \frac { 1 } { k } < 1$$, is n+m+k >11?
(1)n=2 and m=3
(2)k=7
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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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Is positive integer x a sum of squares of three different positive integers?
(1)x < 29
(2)x is divisible by 7
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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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Six different letters are used to form a word. The letters in the first, second and fourth positions are definite. How many ways are there to form a word?
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200301 还原机经选题
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If x and y are all real numbers,is x > 1?
1.x*$$\sqrt{y}$$ >1
2.$$\sqrt{x}$$*y < 1
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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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200301
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Is 5 a factor of n?
(1)the remainder is 1 when n is divided by 4
(2)the remainder is 4 when n is divided by 7
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200301
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Arrange six letters h,t,l,a,o,s in a row, among which the letters in the first, second and fourth positions can only be selected from the three letters--h,t,l. How many arrangements are there?
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200301
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If 330 is a factor of n!, what`s the least possible value of n ?
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200301
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If 457*12=N, then 1 is added to which of the five numbers--4,5,7,1,2 such that difference between the new result and N is more than 2000?
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200301
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If a, b and c are three integers, is at least one of them even?
(1)a+b = even
(2)a+c = even
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200301
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Is n a multiple of 25?
(1)n is a multiple of 5
(2)n is the square of an integer
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200301 还原机经选题: 数论&代数
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If s = 1/(1+2+3+4)+1/(1+2+3+4+5)+...+1/(1+2+3+...+98+99), what`s the range of s?
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200301
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Is (x^2-y)=y?
(1)y(x^2-y)=y^2
(2)xy≠0
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200301
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If △ABC is an isosceles triangle, what is the ratio of the height to base?
(1)The three sides of △ABC are equal
(2)One of the angles of △ABC is 60°
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200301
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What is the maximum number of the points of intersection of a circle and a square?
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200301
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If x is p% higher than y and y is r% lower than z, what`s the value of x in terms of p and r?
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200301 还原机经选题
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What`s the reminder when $$9^{581}$$ is divided by 10?
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