We are told that the ratio of the number of students who play football only to the number of students who play rugby only is 7 : 3. The number of students who play football only can be calculated as follows: \dfrac{7}{10}\times70 = 49\text{ students}. We know that there are 80 students in total, and we have filled in every section of the Venn diagram except this final hippos only section. a) The number of students in year 10 is the total of: b) We know that there are 142 students in total and, of these, 14 study both history and geography. Number of students who like only tea = 60, Number of students who like only coffee = 40, Number of students who like neither tea nor coffee = 20, Number of students who like only one of tea or coffee = 60 + 40 = 100, Number of students who like at least one of tea or coffee = n (only Tea) + n (only coffee) + n (both Tea & coffee) = 60 + 40 + 80 = 180. 31 had a … And so on, where n( A) = number of elements in set A. Draw Venn diagram using the information provided and answer the questions that follow. These three sets could repre… The number of women who like watching all the three genres = 20% of 1000 = 200. Z = number of elements that belong to set A and B both (AB) n(B)= percentage of students who like watching basketball = 62% Next Types of Triangles Practice Questions. There is some simple information which we can input immediately. In the banking, railway, SSC exams, questions are asked about Logic Venn Diagram in the Verbal reasoning section which are 3-4 questions in question-paper. These ellipses are often drawn inside a rectangle. Note: All values in the Venn diagram are in percentage. Resources made by expert teachers. Venn diagram, also known as Euler-Venn diagram is a simple representation of sets by diagrams. Articles made on a lathe are subject to three kinds of defect, A, B or C. A sample of 1000 articles was inspected and the following results were obtained. Draw a Venn diagram for this information. The number of students who like watching at least two of the given games=(number of students who like watching only two of the games) +(number of students who like watching all the three games)= (12 + 13 + 14 + 15)% i.e. The ratio of the students that only play football to the students that only play rugby is 7 : 3. a) Fill in the Venn diagram to show the above information. We are told that 14 students do not play rugby or football, so we can write ‘14’ outside the circles, but still inside the rectangle. The usual depiction makes use of a rectangle as the universal set and circles for the sets under consideration. Drawing Venn diagrams is relatively simple as shown below. Here you can get questions based on logic venn diagram for various competitive exams. In CAT and other MBA entrance exams, questions asked from this topic involve 2 or 3 variable only. Example 1: In a college, 200 students are randomly selected. Where;  Are you Ready? Question 1: There are 126 students in year 9. n (B) = y + z ;  Once you understand the concept of Venn diagram with the help of diagrams, you don’t have to memorize these formulas. Make sure you are happy with the following topics before continuing. It is important to carefully list the conditions given in the question in the form of a Venn diagram. Step 3: All the numbers that are neither odd nor prime: 4, 6, 8, and 10, will go inside the rectangle but outside either circle. Venn Diagrams www.naikermaths.com Probability : Venn Diagrams - Edexcel Past Exam Questions 1. A Venn diagram is a way of grouping different parts of data known as sets. Solution: The given information may be represented by the following Venn diagram, where T = tea and C = coffee. n(H) = percentage of students who like watching hockey = 53% The number of candidates at or above 90th percentile overall and at or above 80th percentile in both P and M = e + g = 60. In this topic you will learn how to construct a Venn diagram and then how to use a Venn diagram to determine probabilities. Worksheets & Exam Questions. Then we need to draw two circles which overlap, one labelled ‘football’ and the other labelled ‘rugby’. There’s some crossover here: \{3, \, 5, \, 7, \, 11\} are contained in both, which means they go in the intersection. We can express this as the following fraction: (You could give the probability as a decimal or as a percentage (the question doesn’t state how the answer should be given), but since both the decimal (0.0985….) We provide you with handpicked material and question banks, time-proven exam strategies, exam analyses and simulated tests to give you a hands-on real-time test experience. n ( A ∪ B) = n(A ) + n ( B ) - n ( A∩ B) and the percentage (9.85…\%) have several decimal places, leaving the probability as a fraction would probably be the most sensible option here, but the decimal and percentage answers are not incorrect.). Practice Questions; Post navigation. Example: In the Venn diagram below, A contains odd numbers and B contains prime numbers. Number of students who like watching all the three games = 15 % of 500 = 75. In this case, g = 20. So if you practice properly then this blog can easily increase your marks. Then, there are 12 out of those 14 people who take Geography, or in other words. How many students like watching all the three games? There are 14 students that like crocodiles and sharks and 8 students that like crocodiles and hippos, so there are 22 students that like crocodiles and one other animal. A number is selected at random. Step 1: Identify numbers that are odd: \{1, \, 3, \, 5, \, 7, \, 9, \, 11 \} and numbers that are prime: \{2, \, 3, \, 5, \, 7, \, 11 \}. Crack CAT'20 with Super Short, Super Smart Course. Series Questions and Answers - Non Verbal Questions, Embedded Figures Questions - Non Verbal Reasoning, Figure Formation - Non Verbal Reasoning Questions, Paper Cutting and Folding Questions for Competitive Exams, Statement and Assumptions Questions for Competitive Exams, Statement and Argument Questions for Competitive Exams, Syllogism Questions and Answers for Competitive Exams, Logical Arrangement of Words for Competitive exams, Inserting the Missing Number Questions and Answers, Alphabet Test Reasoning Questions and Answers. Number of women who like watching only one of the three genres = (17% + 12% + 22%) of 1000 = 510 Solving, you get n (F ∩ H ∩ B) = 15%. Therefore, in this article we are going to discuss problems related to 2 and 3 variables. Revise. which are the numbers that make their presence felt in only one of the geometric figures? Solution: b) What is the probability that this student only likes hippos? We can use Venn diagrams to solve probability problems. n(A) = x + z ;  How many students like at least one of the beverages? The number of students who play rugby only can be calculated as follows: \dfrac{3}{10}\times70 = 21\text{ students}.

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