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190124
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500 students chose courses. Students who didn't take a single course accounted for 1% of the total. Students who took 1, 2, 3 and 4 courses accounted for 50%, 30%, 10% and 9% of the total number of students respectively. What is the median of the number of the courses the students chose?
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190415
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Both tens and the unit digits of a two-digit number are greater than or equal to 1 and less than or equal to 4. What is the probability that the sum of the digits of this number is a multiple of 3?
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190321
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It takes 4 hours for three machines A,B and C to produce 10,000 masks. It takes machine A 10h to produce 10,000 masks alone. It takes machine B 8h to produce 10,000 masks alone. If C works alone, how long will it take to produce 10,000 masks?
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190310
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A positive integer x is a multiple of 5. What is the remainder of x when divided by 6?
1: The remainder of x is 3 when divided by 12.
2: The remainder of x is 3 when divided by 4.
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190310
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A teacher graded 10 students. If the teacher added X points to the score of each student on the basis of the original one, or reduced Y points to that of each student. What was the difference between the average scores in the two cases?
1:X+Y=20
2:X-Y =4
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190207
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All the students in one class took at least one course. There were 18, 18 and 20 students taking subjects A, B, and C, respectively. There were 9 people who took A and B courses simultaneously and 9 people took B and C courses. 4 students took three courses at the same time. How many people were there in this class?
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190207
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c is a mixture of a and b. The unit price of c is $3.2/kg. What is the value of a/b=?
(The price is proportional to the unit)
1: The unit price of a is $2 / kg.
2: The unit price of b is $4 / kg.
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191020
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There are less than 50 books. If 7 books are packed into a box, one book will be left. How many books are there?
(1) If 9 books are packed into a box, 7 books will be left
(2) If 4 books are packed into a box, 3 books will be left
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191020
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A survey of 100 people watching TV programs (sports, news and others) shows that 60 people watch sports programs, 35 people watch news programs, 50 people watch other programs, 10 people watch all programs, 5 people watch neither, 4 people watch sports programs and news programs only, 10 people watch news programs and other programs only. How many people watch other programs only?
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191031
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It is given that: 2 / k + 4 / m = r / s, where r / s is the fraction in lowest term,
Is s = km?
1. k and m are prime numbers
2. k and m have no common factors except 1.
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190302
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The cinema was supposed to sell 10 adult tickets and 20 children's tickets. Tickets for adults and children were sold $25 and $10, respectively. A total of $300 tickets were not sold before the film started. 4 adult tickets were sold. How many children tickets were sold?
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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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191222
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One person works 12 yuan an hour, 35 hours at most, if she works more than 35 hours, the hourly wage will increase by 50%. She said that if she works 4 hours more this month, she will get 60 yuan more. How many hours did she work this month?
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191222
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A team of 15 people is working on a project. They work 8 hours per day and have completed 1/4 of the total project in 18 days. How many additional people, each working at the same constant rate, will be needed to complete the rest of the project in 6 days?
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200301
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Insert two symbols "+" in 1,2,3,4,5 to form the number X, and the two symbols must be separated by at least one number, for example: insert a symbol between 2 and 3, and a symbol between 4 and 5, X=12+34+5=51, is X even?
(1). X is a three-digit number
(2). there is a symbol between 1 and 2
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190302
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The distance from an asteroid to earth is 3.8*$$10^{5}$$m. The distance between the moon and the earth is 4*$$10^{2}$$m. The distance from the asteroid on a map to the earth is 1.9cm. What is the distance from the moon to the earth on the map?
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190302
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There is a set of {1,2,3,4,5,6}. What is the probability that two non-repeated numbers are randomly selected from the set and the sum of the two numbers can be divided by 4?
1: One of the two numbers chosen is three times the other.
2: Both numbers selected are odd.
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190310 还原机经选题: 文字题&几何
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A company consists of managers and employees. What is the total number of people in this company?
1: Managers account for 1/4 of the total number of managers, of which women account for 2/3.
2: The company has a total of 600 male managers.
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181215
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The elements in set B are twice as many as those in set A, and the intersection of AB is empty. $$\frac{1}{3}$$of the elements in set C come from A, and $$\frac{1}{4}$$from B. What is the proportion of intersection of A and C in set C?
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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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