The same is the number of candidates at or above the 80th percentile only in M.Ĥ. The number of candidates at or above the 80th percentile only in P is the same as the number of candidates at or above the 80th percentile only in C. 150 are at or above the 80th percentile in exactly two sections.ģ. No one is below the 80th percentile in all 3 sections.Ģ. For the 200 candidates who are at or above the 90th percentile overall based on CET, the following are known about their performance in CET:ġ. Among those appearing for CET, those at or above the 80th percentile in at least two sections, and at or above the 90th percentile overall, are selected for Advanced Entrance Test (AET) conducted by AIE. The test has three sections: Physics (P), Chemistry (C), and Maths (M). 54% of 500 = 270.ĭIRECTIONS for the question: Read the information given below and answer the question that follows.Īpplicants for the doctoral programmes of Ambi Institute of Engineering (AIE) and Bambi Institute of Engineering (BIE) have to appear for a Common Entrance Test (CET). 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 number of students who like watching only one of the three given games = (9% + 12% + 20%) of 500 = 205.Ratio of the number of students who like only football to those who like only hockey = (9% of 500)/(12% of 500) = 9/12 = 3:4.Number of students who like watching all the three games = 15 % of 500 = 75.Note: All values in the Venn diagram are in percentage. Now, make the Venn diagram as per the information given. N(B)= percentage of students who like watching basketball = 62% N(H) = percentage of students who like watching hockey = 53% N(F) = percentage of students who like watching football = 49% Kick start Your Preparations with FREE access to 25+ Mocks, 75+ Videos & 100+ Sectional/Area wise Tests Sign Up Now Find the number of students who like watching at least two of the given games.Find the number of students who like watching only one of the three given games.Find the ratio of number of students who like watching only football to those who like watching only hockey.How many students like watching all the three games?.Also, 27% liked watching football and hockey both, 29% liked watching basketball and hockey both and 28% liked watching football and basket ball both. 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 = 180Įxample 2: In a survey of 500 students of a college, it was found that 49% liked watching football, 53% liked watching hockey and 62% liked watching basketball.Number of students who like only one of tea or coffee = 60 + 40 = 100.Number of students who like neither tea nor coffee = 20.Number of students who like only coffee = 40.Number of students who like only tea = 60.Solution: The given information may be represented by the following Venn diagram, where T = tea and C = coffee. How many students like at least one of the beverages?.How many students like only one of tea or coffee?.How many students like neither tea nor coffee?.140 like tea, 120 like coffee and 80 like both tea and coffee. Solved ExamplesĮxample 1: In a college, 200 students are randomly selected. Tip: Always start filling values in the Venn diagram from the innermost value. If this was not true, we would say A ⊄ B meaning A is not a subset of B.W = number of elements that belong to none of the sets A, B or C When we have two or more sets, we can look at how they are the same or how they differ in lots of different ways.įor example, if set A completely fits into set B, we can say that A ⊂ B. This contains everything we are interested in and has the symbol '∪', ∪ or \(\upvarepsilon\) (sometimes other symbols are used too). This set could also be defined by us saying:įinally, there is one more important set – the universal set. This is read as 'Z is a set of the factors of 18'. We can also use notation to create our sets: We can define our own sets and choose any letter we want to represent them: N is the set of counting or natural numbers: Sets are named using capital letters with some sets having a predefined name. Objects placed within the brackets are called the elements of a set, and do not have to be in any specific order. Set notation uses curly brackets which are sometimes referred to as braces. Set notation is used in mathematics to essentially list numbers, objects or outcomes.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |