Set Theory Questions And Answers, Set Theory Questions For Aptitude, Set Theory Question Bank, Sets Questions And Answers. Find the number of students who like. There are no foreign doctors. 10 students passed in both and 28 passed in science. So, we can represent the above set in descriptive form as follows. A \ B = {1, 3, 5, 6} \ {0, 5, 6, 7} = {1, 3}, B \ A = {0, 5, 6, 7} \ {1, 3, 5, 6} = {0, 7}, A' = {1, 2, 3, 4, ......10} \ {5, 6, 7, 9}, {2x - 1 : x is an integer in the interval 0 < x < 5}. So, B is the subset of A, but not a proper subset. 1. Let M and D represent the set of Indian men and Doctors respectively. If there is a bijection from the set Ato the set Band from the set Cto the set … of students who like either math or science : Total no. Set Theory Problems Prof. Joshua Cooper, Fall 2010 Determine which of the following statements are true and which are false, and prove your answer. In each of the following cases, de ne a family of sets fE kg k2N, where E k R for each k2N, where no two sets E k are equal to each other, and such that the given conditions hold. Search form. No. (a) S k2N E k = [0;1) and T k2N E k = [0;1]. Question (3):- If in a set 8 members are present then bow many subset of that set. At a certain conference of 100 people there are 29 Indian women and 23 Indian men. Let A = {1, 3, 5, 6}, B = {0, 5, 6, 7}, find A n B. And the remaining 1 is Indian women doctor. 1. Write the following set in set-builder form. Question (10):- In a group of 50 people 35 people eat mango and 5 people eat mango and banana both then how many people eat only banana? 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Sign Up For Our FREE Newsletter! Answer Key to the Set Theory Exercise In a class of 60 students, 40 students like math, 36 like science, 24 like both the subjects. Question 15 : Let A = {a, b, c} find the power set of A. The formula for cardinality of power set of A is given below. Determine whether B is a proper subset of A. The notion of set is taken as “undefined”, “primitive”, or “basic”, so we don’t try to define what a set is, but we can give an informal description, describe important properties of sets, and give examples. 1.1. Question (1):- In a group of 90 students 65 students like tea and 35 students like coffee then how many students like both tea and coffee. Question (5):- How many subset of an empty set? The given set A contains 4 elements. 10 students passed in both and 28 passed in science. Question (9):- In a school 400 students speak Hindi 200 can speak English 200 can speak both Hindi and English then find the total number of students in That school. Insert the appropriate symbol â or â in the blank spaces. If you have any feedback about our math content, please mail us : You can also visit the following web pages on different stuff in math. From this, we have to find the number of students who passed in mathematics. A set is described by listing elements separated by commas, or by a characterizing property of its elements, within braces { }. So, n = 4. Select your answer by clicking on its button. If A = {11, 13, 15, 17, 19} and B = {12, 13, 15, 17}, what is A U B? Since sets are objects, the membership relation can relate sets as well. Rosen uses the latter, but the former is actually more standard.) Here, the given set A contains 3 elements. Answer:- Number of subset of an empty set, Answer:- Let A = {1, 2, 3, 4} and B = {1, 2, 3, 4, 5, 6}. Question (1):- In a group of 90 students 65 students like tea and 35 students like coffee then how many students like both tea … 1. 1 Is each of the following a well-defined set? The given set contains multiples of 3. Figure 1.16 pictorially verifies the given identities. Our Sets and Set Theory worksheets are designed to supplement our Sets and Set Theory lessons. In the given sets A and B, every element of B is also an element of A. Write the following set in descriptive form. 1. (a) The collection of all alphanumeric characters. (i) Math only, (ii) Science only (iii) Either Math or Science (iv) Neither Math nor science. Here, the given set A contains 3 elements. In the given sets A and B, every element of B is also an element of A. Because the set A = {a, e, i, o, u} contains 5 elements. Question (8):- In a city which population is 60000 there 35000 people read Hindi news paper 25000 people read English news paper and 8000 people read Hindi and English news paper then how many people not read any news paper? … Directions: Read each question below. Solution. Search . Out of these Indian people 4 are doctors and 24 are either men or doctors. Let A = {a, e, i, o, u} find the number of proper subsets of A. So, the number students passed in Mathematics is 32. Here n stands for the number of elements contained by the given set A. Answer:- n(H) = 400; n(E) = 200; n(H∩E) = 200. (c) The collection of all real numbers x for which: 2x – 9 = 16. Question (2):- In a group of 1500 people 800 people talk in Hindi and 900 people talk in English then how many people speak both Hindi and English. (b) S 8. (a) {13, 15, 17} (b) {11, 12, 19} (c) {11, 13, 13, 15, 15, 17, 17, 19} (d) {11, 12, 13, 15, 17, 19} 2. Our Sets and Set Theory worksheets are designed to supplement our Sets and Set Theory lessons.