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集合   题数:27
A certain economics class consists of 50 women and 30 men. How many of the men in the class are business majors?(1) 40 percent of the women in the class are business majors.(2) 50 percent of all the people in the class are business majors.
In a certain office, 50 percent of the employees are college graduates and 60 percent of the employees are over 40 years old. If 30 percent of those over 40 have master's degrees, how many of the employees over 40 have master's degrees(1) Exactly 100 of the employees are college graduates.(2) Of the employees 40 years old or less, 25 percent have master's degrees.
How many people are directors of both Company K and Company R?(1) There were 17 directors present at a joint meeting of the directors of Company K and Company R, and no directors were absent.(2) Company K has 12 directors and Company R has 8 directors.
In a survey of 200 college graduates, 30 percent said they had received student loans during their college careers, and 40 percent said they had received scholarships. What percent of those surveyed said that they had received neither student loans nor scholarships during their college careers?(1) 25 percent of those surveyed said that they had received scholarships but no loans.(2) 50 percent of those surveyed who said that they had received loans also said that they had received scholarships.
How many of the 60 cars sold last month by a certain dealer had neither power windows nor a stereo?(1) Of the 60 cars sold, 20 had a stereo but not power windows.(2) Of the 60 cars sold, 30 had both power windows and a stereo.
Six countries in a certain region sent a total of 75 representatives to an international congress, and no two countries sent the same number of representatives. Of the six countries, if Country A sent the second greatest number of representatives, did Country A send at least 10 representatives? (1) One of the six countries sent 41 representatives to the congress. (2) Country A sent fewer than 12 representatives to the congress.
In College Xthe number of students enrolled in both a chemistry course and a biologycourse is how much less than the number of students enrolled in neither?(1) In College Xthere are 60 students enrolled in a chemistry course.(2) In College Xthere are 85 students enrolled in a biology course.
Sets A, B, and C have some elements in common. If 16 elements are in both A and B, 17 elements are in both A and C, and 18 elements are in both B and C, how many elements do all three of the sets A, B, and C have in common?(1) Of the 16 elements that are in both A and B, 9 elements are also in C.(2) A has 25 elements, B has 30 elements, and C has 35 elements.
Set S consists of five consecutive integers, and set T consists of seven consecutive integers. Is the median of the numbers in set S equal to the median of the numbers in set T ?(1) The median of the numbers in set S is 0.(2) The sum of the numbers in set S is equal to the sum of the numbers in set T.
If S is a set of ten consecutive integers, is the integer 5 in S?(1) The integer –3 is in S.(2) The integer 4 is in S.
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