![]() A Venn diagram can be represented by any closed figure, it can be a circle or polygon. ![]() What is Venn Diagram?Ī Venn diagram is a diagram used to represent the relations between various sets. Get the definition of the Venn diagram and diagrams for set operations in the following sections. Venn diagrams are now used as illustrations in business and in many academic fields. Circles overlap means they have common things. The Venn diagram shows the relationship bets the sets. In general, the sets are the collection of well-defined objects. B represents the total number of people who like badminton = 500 and C represents the total number of people who like Tennis = 100.A Venn diagram is a graph that has closed curves especially circles to represent a set. Q 1: In the Venn Diagram given below, A represents the total number of people in a town who like cricket = 1300. However, the point to be noted here is that the relationship or the absence of any relationship between the given quantities should be marked very carefully. You can shade or mark different areas that represent different groups or sets. Solving Venn Diagram questions is easy if you take the help of visual aids. Similarly, you can ask how many people like tea only? As you can see the answer is 20+10 = 30. So 32 people are such that who like both tea and wine. How many people like tea and wine? If you check the region of overlap between the triangle and the rectangle, you will find that in the region shared by the two figures, we have 17 + 15 people = 32 people. Thus we see that option (A) is the correct option. So the two circles or ellipses representing the group of dogs and the group of horses will not intersect. However, no dog is a horse and no horse is a dog. So if we have two circles one representing the group of dogs and the other representing the group of horses, then we can say that these two circles should be inside the greater circle that represents animals. Q 1: Out of the following Venn Diagrams which one represents the relationship between the following: animals, horses, dogs?Īnswer: All dogs are animals. The question will contain analogous words, and you will be asked to represent these in the form of a Venn Diagram. In these types of questions, the Venn Diagrams are given in the options. Q 2: How many people like only one of the three?Īnswer: The question here is asking us to find us the number of people in A + B + C – = 10 + 12 + 16 – = 38 – 12 = 26. Therefore, we have: The number of people who like apples only = 10 – = 2. Also, the number of people in AB = 2, AC = 3 and ABC = 3. We know that the number of people in A = 10. Answer the following questions:Īnswer: This means that we have to find the number of people in A – the number of people in only. Also, four people are such that they like bananas and carrots. Let three people like apples and carrots. Three people are such that they enjoy apples, bananas as well as carrots. The number of people in A = 10, B = 12 and C = 16. Let A, B and C represent people who like apples, bananas, and carrots respectively. For example, consider the following diagram again: Take care of the boundaries and do write down the data that is given. In these type of problems, Venn Diagram will be given and you will be asked to answer questions based on the given Venn Diagram. Arithmetical Reasoning Practice Questions.Browse more Topics under Arithmetical Reasoning Now that we know what Venn diagrams are, let’s solve some examples. they like candy, ice cream as well as chocolate. The people in this region belong to all the groups i.e. The region ABC is known as the intersection of the sets. Similarly, the region AC represents all the people who like candy and ice cream. The region marked BC represents all the people who like both ice cream and chocolate. Then the region marked as AB represents all the people who like both candy and ice cream. Set B represents all the people who like ice cream and set C represents all the people who like chocolate. ![]() For example, say set A contains all the people that like candy. These three sets could represent any given collection of people. In the above diagram, we see that there are three groups or sets called ‘A’ ,’B’, and ‘C’.
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