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191222
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There is a rectangular tile made up of 60 small square tiles, and the area of the small square tile is 1 square foot. What is the minimum perimeter of this rectangular tile?
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191222
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The iron factory melts a cylinder with a diameter of 30 meters and a height of 20 meters into nine small cylinders of equal volume and 20 meters each in height. What is the diameter of the small cylinder?
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191222
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Given x + y is an integer, is y an integer?
(1)x-y is an integer
(2)x + 2y is an integer
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191222 还原机经选题: 数论&代数
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If 12! is a multiple of $$(4!)^n$$ and not a multiple of $$(4!)^{n+1}$$, what is the value of n ?
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191222
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A square table side is 80 centimeters long, a circular tablecloth, the diameter of the circle length is equal to the diagonal length of the table, how many square centimeters is the area of the tablecloth?
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191222
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As shown in the figure, AC is perpendicular to BD. What is the difference between AB and CD？
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191222 还原机经选题: 数论&代数
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p q r are positive integers, p+q+r=5, how many factors does $$2^p3^q5^r$$ have?
(1)p+q=3
(2)q+r=3
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191222 还原机经选题: 数论&代数
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A two-digit number can be formed by the integers in set {1, 5, 7, x, y}. The five integers could form 20 two-digit numbers without any digit repeated. We find that the sum of all the 20 numbers is 1056=44*24, then what is the value of x+y?
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191222
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Given that the line AB is tangent with cicle ⊙O at point B, the radius r of ⊙O is 2. What is the area of the shaded area ?
1：OB=AC
2：BC=OB
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191222
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There is a set of numbers, in which $$a_0=0$$，$$a_1=1$$，$$a_2=1$$，....，$$a_n=a_{n-1}+a_{n-2}$$，What is the value of $$a_5$$.
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191222
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As shown in the figure, a circle is inscribed in a square, what's the ratio of the shaded area to the triangle PQR?（π≈3.14）
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191222
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As shown in the figure, the circle has radius r, which is the inscribed circle of an equilateral triangle. What is the length of the side of the equilateral triangle？（represented by r）
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191222
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A second-hand book seller will pay 35% of the list price, and the list price is 60% of another price A. What percent of the price A is the book seller's pay?
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191222
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Is abx greater than 0？
1：ax>0
2：bx>0
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191222
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It is defined that x@y=ax+by, what is the value of 8@2=？
1：4@1= 9
2：2@2= 6
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191222
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14<【（n-1）！+n！+（n+1）！】/n！<15，what is the value of n？
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191222
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There are 21 songs in a music CD, where two songs are from the same musician James. What is the probability that these two songs are arranged to play on the first two places ?
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191222
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A wall needs to be painted by one or more colors. We have six different colors , where one of them is white. How many different ways is white color chosen ?
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191222
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If x and y are positive numbers, is $$x^5 < y^3$$?
(1)$$x^4 < y^3$$
(2)$$x^5 < y^4$$
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191222 KMFPS
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What is the remainder when $$3^{50}$$ is divided by 4？
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