CA Foundation | Quantitative Aptitude | Sets | Exercise 7 C | ICAI Module Solutions

CA Foundation Chapter - 7 : SETS, RELATIONS AND FUNCTIONS, BASICS OF LIMITS AND CONTINUITY (Exercise C, Chapter 7 - ICAI Study material)

This video explains the solution of all the problems of Exercise C of Sets, Relations and Functions, Basics of Limits and Continuity (Chapter 7 in CA Foundation Quantitative Aptitude study material book provided by ICAI).

Click the time stamp to jump to the required question's solution, or watch it all :-

00:00 Intro
00:06 Question 1 - "Is smaller than" over the set of eggs in a box is Transitive, Symmetric, Reflexive or Equivalence ?
01:46 Question 2 - "Is equal to" over the set of all rational numbers is Transitive, Symmetric, Reflexive or Equivalence ?
02:51 Question 3 - "has the same father as" .... over the set of children is Transitive, Symmetric, Reflexive or Equivalence ?
03:48 Question 4 - "is perpendicular to" over ther set of straight lines in a given plane is Transitive, Symmetric, Reflexive or Equivalence ?
05:12 Question 5 - "is the reciprocal of" ..... over the set of non-zero real numbers is Transitive, Symmetric, Reflexive or Equivalence ?
06:23 Question 6 - {(x, y) / x ∈ x, y ∈ y, y = x} is Transitive, Symmetric, Reflexive or Equivalence ?
07:42 Question 7 - {(x, y) / x + y = 2x where x and y are positive integers}, is Transitive, Symmetric, Reflexive or Equivalence ?
08:51 Question 8 - "Is square of" over n set of real numbers is Transitive, Symmetric, Reflexive or Equivalence ?
09:56 Question 9 - If A has 32 elements, B has 42 elements and A ∪ B has 62 elements, what are the number of elements in A ∩ B ?
11:03 Question 10 - In a group of 20 children, 8 drink tea but not coffee and 13 like tea. What is the number of children drinking coffee but not tea ?
12:25 Question 11 - What is the number of subsets of the sets {6, 8, 11) ?
12:51 Question 12 - What is x equal to if the sets V = {x / x + 2 = 0}, R = {x / x² + 2x = 0} and S = {x : x² + x - 2 = 0 } are equal to one another ?
14:51 Question 13 - What is the relation between A and B if the universal set E = { x | x is a positive integer less than 25 }, A = {2 , 6, 8, 14, 22}, B = {4, 8, 10, 14} ?
16:01 Question 14 - If the set P has 3 elements, Q has four elements, R has two elements, then how many elements are does set P x Q x R contain ?
17:01 Question 15 - What is A x (B ∩ C) given that A = {2, 3}, B = {4, 5}, C = {5, 6} ?
17:58 Question 16 - A town has a total population of 50,000. Out of it 28,000 read the newspaper X and 23,000 read Y while 4,000 read both the papers. What is the number of persons not reading X and Y both ?
20:21 Question 17 - If A = {1, 2, 3, 5, 7} and B = {1, 3, 6, 10, 15}. What is cardinal number of A - B ?
21:50 Question 18 - Which diagram is graph of a function ?
23:05 Question 19 - At a conference of 100 people there are 29 Indian women and 23 Indian men. Out of these Indian people 4 are doctors and 24 are either men or doctors. There is no foreign doctors. What is the number of women doctors attending the conference ?
25:55 Question 20 - What is n(P(A)) if A = {a, b} and Set of subsets of A is called power set of A denoted by P(A) ?
27:04 Question 21 - Out of 2000 employees in an office 48% preferred Coffee(c), 54% liked (T), 64% used to smoke (S). Out of total 28% used C and T, 32% used T and S and 30% preferred C and S, only 6% did none of these. What is the number having all three ?
31:27 Question 22 - What is the number of employees having T and S but not C using the above data ?
32:28 Question 23 - What is the number of employees preferring only using the above data ?
34:43 Question 24 - What is g(x) if f(x) = x + 3, g(x) = x² ?
35:30 Question 25 - What is f-¹(x) if f(x) = 1/(1 - x) ?
36:59 End Screen

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