Intersection of sets - practice problems - page 7 of 10
Number of problems found: 182
- Distance 15203
In the plane, the points A, B, and C are given 3 cm apart, and they do not lie in the same straight line. Mark the set of all points whose distance from all three points is less than or equal to 2.5 cm.
- Christmas or Easter
Please calculate this example by the Venn equation. They asked 73 students whether they liked Christmas or Easter. Thirty-four of them like one of the holidays. 39 loves Easter. There are twice as many students who wish for both holidays as those who only
- Eq triangle minus arcs
In an equilateral triangle with a 2cm long side, the arcs of three circles are drawn from the centers at the vertices and radii 1cm. Calculate the area of the shaded part - a formation that makes up the difference between the triangle area and circular cu
- Two sets
Suppose Set B contains 69 elements, and the total number of elements in either Set A or Set B is 124. If sets A and B have 29 elements in common, how many elements are contained in set A?
- Employees 12961
Half of the employees are women. 2/5 are mothers. What part of the employees are mothers?
- Brothers and sisters
There are 35 children in the class; 23 have a brother, and 27 have a sister. When five children in the class have no brother or sister, how many children have both a brother and a sister?
- Construct 11511
Construct the diamond ABCD so that its diagonal BD is 8 cm and the distance of apex B from the line AD is 5 cm. Specify all options
- Ten pupils
Ten pupils came to the art group. Eight pupils painted with watercolors and nine painted with ink, each painted with ink or watercolors. How many pupils painted water and ink at the same time?
- Glasses
There are 36 pupils in the class. Nine girls wear glasses. Boys with glasses are five less than girls without glasses. Boys without glasses are two times more than girls without glasses. How many boys and how many girls?
- School trip
On a school trip, 17 of the 28 children bought ice cream or chocolate in a candy store. Twelve children bought chocolate, and nine children bought ice cream. How many children bought ice cream and chocolate? How many children did not buy ice cream? How ma
- Three excursions
Each pupil of the 9A class attended at least one of the three excursions. There could always be 15 pupils on each excursion. Seven participants of the first excursion also participated in the second, 8 participants of the first excursion, and 5 participan
- The triangle
Three vertices give the triangle: A [0.0] B [-4.2] C [-6.0] Calculate V (intersection of heights), T (center of gravity), O - the center of a circle circumscribed
- Sufficient 9391
In Kocourkov, they use coins with only two values expressed in Kocourkov crowns by positive integers. With a sufficient number of such coins, it is possible to pay any integer amount greater than 53 cats’ crowns accurately and without return. However, we
- Students 9181
Of 34 pupils, 17 skis and 21 skates, 12 practice both sports. a) how many students from the class ski or skate? b) how many students from the class ski but do not skate? c) how many students from the class do not skate or ski?
- Eq2 2
Solve the following equation with quadratic members and rational function: (x²+1)/(x-4) + (x²-1)/(x+3) = 23
- 80 students
Eighty students were asked what type of test they preferred. Fifty students said they liked multiple choice, and 42 liked true or false. If 36 liked multiple choice and true or false types, how many students preferred multiple choice only?
- Intersect and conjuction
Let U={1,2,3,4,5,6} A={1,3,5} B={2,4,6} C={3,6} Find the following. 1. )AUB 2. )A'UB'
- Entertainment 8353
Twenty-two pupils attend class 4A. Of these, 12 pupils subscribe to a research magazine, 5 pupils subscribe to an entertainment magazine, and 8 pupils do not subscribe to any of these magazines. How many pupils subscribe to both magazines?
- Students 8345
Ninety-seven pupils go to music school, each playing the piano or violin. Sixty-three pupils play the piano, and 58 pupils play the violin. How many students play the piano and the violin?
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