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 还原机经选题
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It is given that a,b,c are prime numbers larger than 1,and abc=60. What is the value of a+b+c
1:a+b=8
2:a,b are odd.
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190215
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Beef, chicken and bacon can be added between the two hamburgers. If the order of different kinds of meat is ignored, how many different hamburgers can be made?
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190215
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Machine A is three times more efficient than machine B. How long does it take A and B to work together at the same time for 3000 pieces of work?
1: Machine B can produce 1000 goods per hour.
2: Machine a produces 2000 more pieces per hour than machine B.
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190215
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It is given that:x+y=6t,xy=-7$$t^{2}$$ So what is the value of $$\frac{x^{2}+y^{2}}{t^{2}}$$=?
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190215
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What is the reminder of x when divided by 2?
1: The reminder of (x+1) is odd when divided by 2.
2: 4 is a factor of $$x^{4}$$.
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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
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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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Is $$\sqrt{13m}$$ an integer? m is a natural number.
1: 117m is the square of an integer.
2: $$\frac{m}{117}$$ is the square of an integer.
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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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Someone rented a taxi for five days. He drove 900 miles in five days. He drove 200 miles on the first day. How much did he drive the next day?
1: The distance he drove on the first day was 40% of the total of the first three days.
2: The sum of the first three days was equal to the sum of the last three days.
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190215
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x+2y=3t,xy=-5$$t^{2}$$,$$\frac{x^{2}+4y^{2}}{t^{2}}$$=?
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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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There is a cube with six faces labeled. Someone is going to paint this cube with three colors, one for each side. The colors of adjacent faces are different. How many coating methods are there?
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190215
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[x] represents the minimum number larger than x. [x]-x=?
1:8x=8n+1. n is an integer.
2:8x=16m+1. m is an integer.
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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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There are 5 numbers in a sequence. 1 is the mode and the only one. The average of the five numbers is 2.4. What is the maximum value in the sequence?
1: 2 is the median.
2: There are four different numbers in the sequence.
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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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190215
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The radius of all three circles is r. The top circle is tangent to the bottom two circles. The closest distance between two points on the circumferences of the bottom two circles is a. These three circles are tangent to the quadrilateral ABCD. How is BC represented by r and a?
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