191031
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Two alcohol solutions, the ratio of alcohol to water in one alcohol solution is 5 to 2, and the ratio of alcohol to water in the other alcohol solution is 3 to 2. Now the two solutions (each 35 liters) are mixed together. What`s the ratio of alcohol to water in the new solution?
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191031
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Three machines A, B, and C produce a total of 650 products, B produces 50% more than A, and C produces 50% less than B. How many products does A produce?
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191031
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What is the area of a right triangle?
(1). The perimeter of the triangle is 20cm
(2). The shortest side of the triangle is 5cm
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191031
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A person starts at 9:00 in the morning, and walks a total of 300km at 12:00 and then continues walking after a 45-minute break. At the end of the journey,it is 18:45 in the afternoon, the speed is 80 km/h in the afternoon. What is the average speed of the whole trip (not counting the noon break)?
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191031
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A and B are integers, 9 < A <31, 19 < B <41, a sequence is all possible values of A/B, what` s the range of A/B?
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191031
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n is an integer greater than 1, and T is the set of multiples of all integers n, such as T = {n, 2n, 3n ...}. What`s the value of n?
(1). 7 belongs to T
(2). 49 belongs to T
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191031
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What`s the variance of four numbers 9, 8, 7, 4?
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191031
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F, G and H are the midpoint of AB, AC, and BC. AB = 26, AC = 26, BC = 20, DE = 10, What's the area of shaded part?
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191031
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How many prime factors does 2730 have?
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191031
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10n/7 = q+k/7, k and n are both positive integers less than 7, and q is an integer, What`s
the maximum value of q?
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191031
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There are 30 customers in a bakery. Each of them buys either bread or coffee. Which of the following CANNOT be the difference between the number of people buying bread and the number of people buying coffee?
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191031
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What is the units digit of 3^66?
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191031 还原机经选题: 数论&代数
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A straight line y=mx+b, a parabola$$ y=x^2+c$$. are the number of intersections of these two images no less than 1?
(1)b≥c
(2)m^2≥4(c-b)
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191031
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$$\frac { m } { n } < \frac { n } { m }$$ ?
(1)m>n
(2)mn>0
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191031
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Three positive integers x y z, satisfying 5 < x < y < z < 11, what is the value of z?
(1)x = 7,y = 8
(2)x, y are odds
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191031
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If k=0.0004, which of the following has the greatest value?
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191031
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Here are two columns of numbers, the numbers in the left column are arranged in numerical order, and the right column is ordered according to the frequency of the numbers. What's the median?
1 ...... 4
2 ...... 9
a ...... 1
5 ...... b
(1)a=3
(2)b=2
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191031
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There are two cars, one is fast and the other is slow. They have been driving for 5 hours. What is the distance of the slow car?
(1)the average speed of fast car is 4mile/h faster than that of the slow car
(2)the distance traveled by the fast car is 170miles
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191031
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Two sqaures both are 10x10. Is the shaded area 25?
(1)P is on the diagonal line of ABCD
(2)CD and PQ is perpendicular
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191031
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There are five numbers: 1 2 4 x 6, what is the value of x?
(1)there is only one mode in this group and it is equal to median
(2)the mean is an integer
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