190113 还原机经选题: 文字题&几何
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There are 40 cards in a box. Each card represents an integer. How many of the cards with odd integer?
(1) The probability that a card with an even integer is selected randomly is 5/8
(2) When two cars are taken out randomly, the probability that the two numbers on the cards are both even is 2/13.
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190113 还原机经选题: 文字题&几何
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Bob invests $1000 in two investments, A and B, whose simple interest rates are 6% and 8%, respectively. If Bob invests them for both 1 year, how much does he invest in investment A?
(1) The total interest he gets is $74.
(2) The interest of A is $38 less than that of B.
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190113 还原机经选题: 文字题&几何
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z=x/y. If x and y are increased by 40% and 25%, respectively, by what percent is z increases?
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190113 还原机经选题: 文字题&几何
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There are 50 balls of the same size and texture in a bag, including 20 red balls, 20 green balls, 6 purple balls and 4 black balls. The probability that a ball is selected randomly from the bag is equal. If Two balls were chosen randomly from the 50 balls in one time, what is the probability that these two balls are of the same color?
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190113 还原机经选题: 文字题&几何
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The range of sales of a commodity in the 12 months of 1999 was 240, and the range of sales in the 12 months of 2000 was 320. What is the minimum possible range of sales in the 24 months between 1999 and 2000?
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190113 还原机经选题: 文字题&几何
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There are 21 employees in a company. According to the following conditions, can it be determined that the median annual salary of these people is less than $40,000?
1: The annual salaries of 12 people are less than $37,000.
2: The annual salaries of 9 people are greater than $41,000.
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190113 还原机经选题: 文字题&几何
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There are 23 people in the Planning Department, and A people in the Finance Department of a company. The total number of people of these two departments is B. How many people belong to both departments at the same time?
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190113 还原机经选题: 文字题&几何
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There are 64 identical cubes with side of 1. Only one face of each cube is painted. These 64 cubes will be put together into a big cube. What's the maximum proportion of painted sides on the surface of this big cube?
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190113 还原机经选题: 文字题&几何
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There are three programs in one ceremony: violin performance, piano performance, and trumpet performance. In each performance, two students will respectively perform on the same instrument in order. A and B can only play the violin, C and D can only play the piano, and E and F can only play the trumpet. How many different appearance orders?
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190113 还原机经选题: 文字题&几何
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The distance between a planet and the earth is 4*$$10^{13}$$ km, and the distance between the earth and the moon is 2.5*$$10^{5}$$ km. On a map, the distance between the earth and the moon is 1 cm. What is the distance, in kilometer, between the planet and the earth on the map?
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190113 还原机经选题: 文字题&几何
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Each number in a sequence comes from {10,20,30}. What's the average of this sequence?
(1) 60% of the numbers in this sequence is no more than 20
(2) 80% of the numbers in the sequence is no less than 20
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190113 还原机经选题: 文字题&几何
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Mary has crayons in three colors. She fills four areas A, B, C, and D with her crayons, and an area can be painted with only one of these three colors. If the colors of two adjacent areas cannot be repeated, how many filling methods are there in total?
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190113 还原机经选题: 文字题&几何
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There were 50 students in a school. The school has three courses, A, B, and C. Students can take 0, 1, 2 and 3 courses. The numbers of students that took A, B, and C were 22, 25, and 33, respectively. 11 students took both A and B. 20 students took both B and C, and 19 students took both A and C. 9 students took all three courses. How many students didn`t take any course?
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190113 还原机经选题: 文字题&几何
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A paper mill has three machines a, b, and c. It takes 90 minutes for a, 45 minutes for b, and 30 minutes for c to produce 1800 sheets of paper alone. How many minutes does it take to produce 1800 sheets of paper if a, b and c work together?
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190113 还原机经选题: 文字题&几何
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A is 1% saline solution and B is 3% saline solution. How much B solution needs to be mixed with 200g A solution to get 2.5% saline solution?
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190113 还原机经选题: 文字题&几何
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The face values of paper money are different, but the thickness of these paper money is the same. The thickness of the paper money with total value of $ 10,000 is 35 feet 10 inches when paper money with only face value of $20 are stacked. What is the height in feet when paper money with only face value of $50 are stacked to get total value of $6000000000? (1 feet = 12 inches)
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190113 还原机经选题: 文字题&几何
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A total of 100 people participated in a survey. Thirty people bought milk. How many people bought both milk and orange juice?
(1) 40 people bought orange juice.
(2) There were 50 people who bought exactly one of these two drinks.
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190113 还原机经选题: 文字题&几何
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There are books on the upper and lower floors of the bookshelf. The ratio of the number of books on the top floor to that on the bottom is 4 to 3. If 8 books are taken from the upper floor to the lower one, the ratio of the number of books on the top to that on the bottom will be 4 to 5. How many books on the upper floor at first?
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190113 还原机经选题: 文字题&几何
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The total ride was 30 miles. What was the average speed?
(1) The average speed of the first 20 miles was 20 miles / h
(2) The average speed of the last 20 miles was 30 miles / h
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190124 还原机经选题: 文字题&几何
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A committee is composed of 3 males and 3 females. All of them are elected from 7 males and 7 females. How many different cases are there?
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