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题目内容
Of the students in a school, 20 percent are in the science club and 30 percent are in the band. If 25 percent of the students in the school are in the band but are not in the science club, what percent of the students who are in the science club are not in the band?
Of the people surveyed about the effectiveness of various treatments for insomnia, 65 percent reported that prescription drugs were effective and 48 percent reported that exercise was effective. If 22 percent of those surveyed reported that prescription drugs were effective but did not report that exercise was effective,what percent of those surveyed reported that exercise was effective but did not report that prescription drugs were effective?

_____%
A group of students could attend choir and orchestra hobby group as they wish. Among 110 female students, 35 only attend the choir, 26 only attend the orchestra, 9 attend both, while the rest 40 attend neither. Among 120 male students, 49 only attend the choir, 14 only attend the orchestra, 12 attend both, while the rest 45 attend neither. Which of the following statements must be true?
Indicate all such is/are true.
A group of people attend an activity. 40 per cent of them are teachers, while 80 per cent of all teachers have master`s degree.

Quantity A

The proportion of teachers who don`t have master`s degree among all teachers

Quantity B

$$\frac{1}{5}$$
52% of the bottled drinks in a shop contains A, 18% of the bottled drinks in the shop contains B, while 10% of the bottled drinks contains both A and B.

Quantity A

The percent of the bottled drinks in the shop that contains neither A nor B

Quantity B

34%
In a class of 80 students, 40 took biology, 30 took chemistry. Which of the following statements can individually help determine the number of students who took both courses?
Indicate all such statements.
The 50 students in an art class were given an assignment to visit two museums,A and B.During the week after the assignment was given, 25 of the students visited Museum A and 10 of those 25 students also visited Museum B.

Which of the following statements individually provide(s) sufficient additional information to determine how many of the students visited Museum B during that week?

Indicate all such statements.
In a group of people, the proportion of math major students and male students are the same. 35 per cent of all students are male and major in math, while 15 per cent of all students are female and don`t major in math. What`s the proportion of students who major in math?
______%
In transit, the probability that plates crack is $$\frac{1}{2}$$, the probability that plates break is $$\frac{2}{3}$$, while the probability that plates crack and break is $$\frac{1}{3}$$. If 80 plates neither crack nor break when a batch of plates arrive, then how many plates arrive in total?
At a certain university, 60% of the professors are women, and 70% of the professors are tenured. If 90% of the professors are women, tenured, or both, then what percent of the men are tenured?
In a graduating class of 236 students, 142 took algebra and 121 took chemistry. What is the greatest possible number of students that could have taken both algebra and chemistry?
Of the 120 first-semester students entering a certain college, $$\frac{3}{5}$$ registered for a statistics class and $$\frac{1}{2}$$ registered for a calculus class. Which of the following could be the number of first-semester students entering the college who registered for a statistics class but did not register for a calculus class?
Indicate all such possible numbers.
18 students can choose from snack, staple food, vegetables or none for lunch. Each student can choose whatever types of food as they want. Among 12 students who choose vegetables, 3 also choose snack but not staple food, 2 also choose staple food but not snack, while 4 also choose snack and staple food. What's the ratio of students who only choose vegetables to all students?
Give your answer as a fraction.
All of the 80 science students at a certain school are enrolled in at least one of three science courses: biology, chemistry, and physics. There are 60 students enrolled in biology, 50 students enrolled in chemistry, and 35 students enrolled in physics. None of the students are enrolled in all three courses. Which of the following could be the number of students enrolled in both chemistry and physics?
Indicate all such numbers.
Professor Lopez is teaching three different courses with an average (arithmetic mean) enrollment of 32 students per course. If 5 students are taking two of these courses, 3 other students are taking all three courses, and all of the others are taking only one of the courses, what is the total number of different students enrolled in the three courses?
There are 500 students in a class. 450 of them take Course A, 300 of them take Course B, and 150 of them take Course C. Each student has to take at least one course, and 100 of them take all the three classes simultaneously. The number of students who take both Course A and Course B, but not Course C could be?
Indicate all such possible values.
Three students need to read 50 proposals. Each proposal has to be read by at least one student. Student A read 38 of them, Student B read 36 of them, while Student C read 28 of them. At least how many proposals are read by at least two students?
In a group of people, 40% of like red, 50% of them like blue, while 60% of them like green. 9% of them only like red, 10% only like blue and 11% only like green. 20% of them like all the three colors simultaneously. What percent of people like both red and green, but not blue?
List A: 4, 6, 8, 10, 12, 14-
The above list of numbers is formed by adding 2 to each of the preceding term What is the 54th term of the list?
The first term of sequence K is 7 and the last term is 217. Each term after the first is 2 greater than the previous term. How many terms are in sequence K?

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