Sets - practice problems - page 4 of 17
Number of problems found: 329
- Collection of medicinal plants
A pensioners' club organised a collection of medicinal plants. Two pensioners could not participate in the collection for health reasons, the others decided to collect dead-nettle, elder, and coltsfoot. All three herbs were collected by 7 pensioners, dead - Fish mushroom respondents
Out of 32 people, 22 like fish. Four fewer people will enjoy the mushrooms. Those who eat mushrooms or fish are 7 times more than those who do not eat mushrooms or fish. How many of the respondents have fish and mushrooms? - In the fifth In the fifth grade, which is attended by 88 pupils, two elective subjects are taught: mathematics exercises and sports games. 66 pupils did not attend mathematics exercises, which is 3 more than the number of pupils who did not sign up for sports games. 9
- Dice coin probability
We roll the dice and then toss the coin as many times as the number that came up on the dice. What is the probability that the coin lands head at least once? - Written test
A written test was taken by 35 students, the test contained 3 tasks, 2 students solved only one task, and three students only two tasks. Task no. 1 and task no. 2 were solved by 16 students, and tasks 2 and 3 by 14 students. All tasks were solved by 10 st - Distance of the jetty
Three friends are sitting on a jetty which is exactly in the middle of a flowing river. The first friend sets off against the current of the river at a speed of 0.4 m/s, the second friend sets off along the current of the river at a speed of 0.2 m/s, the - Advertising on television
A television station claims about its broadcasting schedule that advertising takes up 76 minutes of broadcasting during the whole day and is broadcast at random intervals. a) what is the probability that if you turn the television to this station, it will - Preventive examination 2.8% of the population suffers from disease XY. A preventive examination identifies 5.1% of healthy individuals as sick, and 91.4% of those examined who are actually sick are also identified as sick. What percentage of examined individuals is identified a
- Function graph intercepts
Draw the graph of the function y = -2x + 3. Calculate the coordinates of the intersections of the function's graph with the x and y axes. - A shopkeeper 5
A shopkeeper sold some sets of Pencils and Pens. Each set contained 6 pencils and 2 pens. If the shopkeeper sold 112 pencils and pens, how many pens did she sell altogether? - Positive integer integral
How many different sets of a positive integer in the form (x, y, z) satisfy the equation xyz=1400? - Residents
In a college dormitory, 1/10 of the residents are juniors, and 2/5 of the residents are sophomores. What fraction of the students at the dormitory are juniors and sophomores? - Club football tennis The sports club has 302 members. Ten times more members play soccer than tennis. Just one of the sports (F and T) is played by 222 members. Eighty-two members do not play football. How many members of the club play football? How many members play tennis?
- Cube wall coloring
We color a wooden cube with an edge length of 3 cm so that three walls are blue, three are red, and no two opposite walls are the same color. Cut the cube into 1 cm³ cubes. How many cats will have at least one red wall and at least one blue wall? - Senior students
There are 7,000 students at Mountain High School, and 2/7 of these students are seniors. If 2/5 of the seniors favour the school forming a debate team and 3/8 of the remaining students (non-seniors) also favour forming a debate team, how many students do - The following 2
The following data show the number of kilometers joggers ran in a month 4;6;12;12;18;19;25;30;31;40;40;40;40;47;49;60 Find the median of the data. - A math
A math teacher teaches Geometry and Precalculus. 37% of students take both math classes, and only 39% take just Geometry. What is the probability that a student will attend Precalculus given that they attended Geometry? What is the percentage of students - Ordered pairs
Given: Set T = {(1,2), (2,3), (3,4), (4,5), (5,5), (6,7), (6,6), (7,8), (8,9), (9,9), (9, 10), (11,12), (12,13), (13,14), (15,16), (16,16), (17,18), (18,19), (20,21)} Find the probability of having an ordered pair wherein the second element is greater tha - A teacher 2
A teacher checked two sets of test papers. The first set took 3 3/4 hours. The second took 1 1/2 hours, and the third took 2 3/5 hours. How much faster did the teacher check the third set than the first and second? - Conditional probability
Suppose a batch contains ten items, of which four are defective. Two items are drawn at random from the batch, one after the other, without replacement. What is the probability that: I) Both are defective? Ii) Is the second item defective?
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