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191020
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M and n are positive integers, and they are all factors of p, is p=mn?
(1)p ≤ mn
(2)The greatest common factor of m and n is 1
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190215
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1：B∩A=C
2：D∪A=X
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191020
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3 boys and 3 girls stand in a row. If no boy stands between girls and no girl stands between boys, how many arrangements are there?
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190215
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The teacher plans to put A,B,C,D and E in five seats in the same row. D and E cannot be adjacent. How many arrangements are there?
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190215
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What is the value of n when the average of the five numbers 1, 3, 4, n, 10 is equal to the median?
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191020
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The population of S city round to 10,000 is 140,000; The population of M city round to 10,000 is 80,000. What is the sum of the population of S city and M city if the sum is rounded to 10,000?
(1)Two figures are rounded within 2% of the original number;
(2)The population of S city is upward when it is rounded, while the population of M city is downward when it is rounded
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190302 还原机经选题: 数论&代数
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X(Y+1)=2016. 5X+2Y=？
1：Y(2+3X)=2020
2：X=Y
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191031
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There is a round table with a radius of 30 inches. A group of people are sitting around and are required to sit at least 30 inches apart. So how many people can sit at most？
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191031
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Is the number of the roots of $$x^2-4x+c=0$$ greater than 1?
(1)C≥-4
(2)C≤4
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191031
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In the figure, a smaller semi-circle is in the larger semi-circle. A and B are centers of these two semi-circles, respectively. What is the area of the shaded part?
(1)The radius of the larger semi-circle is 15
(2)AB =3
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191031
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A circle with a radius of 12 inches is cut out of a sector with a central angle of 120 degrees. Use the remaining sectors to make a cone. What is the altitude of the cone?
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191031 还原机经选题: 数论&代数
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If k and n are positive factors, and f(n) represents the remainder when n is divided by k，is k>10?
(1)f(k+32)=8
(2)f(k+42)=6
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191031 还原机经选题: 数论&代数
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If$$ a_1=1$$，$$a_n=-1/[(a_{n-1})+1]$$，then what's the value of $$a_{2012}$$？
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191031
|
If a>b>c>0，is c>3？
(1)$$\frac { 1 } { a } > 3$$
(2) $$ \frac { 1 } { a } + \frac { 1 } { b } + \frac { 1 } { c } = 1 $$
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191031
|
If the straight line l passes through the origin, and (a,b) is a point on the straight line l, then is a>0?
(1)b-a>0
(2) the slope of straight line l is less than 0
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191031
|
If |nx-8|≤4, then how many positive integers n that can make x exactly have two different integer solutions?
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191031
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A company's revenue in 2002 was 20% higher than that in 2001, and its revenue in 2003 was 25% lower than that in 2002, while its cost in 2002 was 20% lower than that in 2001, and its cost in 2003 was 30% higher than that in 2002. Assuming that the profit of this company in 2001, 2002 and 2003 are X, Y and Z respectively, what is the correct order of X, Y and Z?
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191031
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If the remainder of x/y is 3, can x be divided by 3?
(1)y=6
(2)x
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191031
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Fill the pool with 10000cm3 of water. It will take 8 hours for A alone to complete the task, and if AB can work together, it will take 6 hours. What is the rate of B working alone?
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191031
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If $$y = x^2+mx+n$$ has two roots , namely 1 and 2, what's the value of m - n ?
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