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190215
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In concentric rings, the radius of the small circle is 60, and the width of the ring is 10. What is the ratio of the area of the ring to the area of the large circle?
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190215 还原机经选题: 数论&代数
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There are two four digit abcd,dcba. 1 ≤ a, b, c, d ≤ 9. a,b,c,d are natural numbers and may be equal. What is the maximum value of abcd - dcba?
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190215
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There were 560 people in the company. The number of managers was 15% of the total. Later, 10 new managers and 24 ordinary employees were recruited. What's the proportion of the total number of managers now?
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190215
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g(2)=1,g(n+1)=g(n)+n.g(20）=？
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190215
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f(x)=7-x, (0 ≤ x ≤ 4),f(x)=$$\frac{1}{2}$$x-2(4 < x ≤ 6).Which one of the following options can be the possible value of f(x）?
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190215
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6,mn4 is a four-digit integer. Is m+n larger than 10?
1: 134 is a factor of 6,mn4.
2: 6,mn4=134p + r (47 ≤ p ≤ 52,0 ≤ r ≤ 134)
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190215
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The two sides of the square poster are parallel to the horizontal line. The side of the poster is 54 inches long. The part of the poster that is higher than one line which is 5 feet 9 inches from the ground accounts for 1/3 of the area of the square. What's the height from the bottom of the poster to the ground? (1 foot = 12 inches)
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190215
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$$\frac{10n}{7}$$=k+$$\frac{q}{7}$$,n,q are positive integers smaller than 7. What is the maximum value of k?
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190215
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1 < x < 1. Is y > $$x^{2}$$？
1：y > 0
2：y > x
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190215
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(n+1)(n+2)(n+3)(n+4)=?
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190215
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Two numbers are chosen from the sequence {1,2,3,4,5}. What is the probability that the product of the two numbers is less than 4?
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190215
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There are 10 people in a project of a company, 5 of them are masters and the other 5 are apprentices. They are divided into five pairs which is composed of one master and one apprentice. How many combinations are there for the pairs?
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190215
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A company can produce up to 800 chairs a day. The relationship between profit p and the number of chairs produced per day x is p = (600-x) (x-10). How many chairs can be produced per day to maximize the profit of the company?
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190215
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($$2.5^{2}$$-$$1.5^{2}$$)+($$3.5^{2}$$-$$4.5^{2}$$)+.......+($$100.5^{2}$$-$$99.5^{2}$$)=?
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190215
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(n-1)!, (n+2)!,(n+1)! are all multiples of 120. What is the least value of n?
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190215 还原机经选题: 数论&代数
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x > 2, y > 2. Can x be divided by 20?
1: x is a multiple of 5.
2: x=(n+2)!
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190215
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$$x^{2}$$ ≤ 25, -3 ≤ y ≤ 1. What is the largest possible value of ?
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190215
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Four 30 ° - 60 ° - 90 ° triangles are assembled into a large square. What is the ratio of the circumference of the big square ABCD to that of the inner small square EFGH?
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190215
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x=?
1: The minimum product of two prime factors of x is 21.
2: The maximum product of two prime factors of x is 91.
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190215
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571+572+573 is the product of three consecutive numbers. What is the sum of these numbers?
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