## Math 9 - All About Sets

 1. The objects involved in a set are called _________.a) Elements b) Numericalsc) Alphabetsd) Null sets
 2. Sets are denoted by __________.a) Capital english letters b) Symbolsc) Alphabetsd) Small english letters
 3. Elements of sets are denoted by __________.a) Arrows b) Alphabetsc) Small english lettersd) Capital english letters
 4. The presence of an element in a set is denoted by ___.a) E b) Uc) Od) B
 5. Two methods of presenting a set are discriptive and _________ method.a) horizental b) linearc) graphicd) tabular
 6. Set of first five positive integers is a ________ method of representing a set.a) Graphic b) Tabularc) Discriptived) Linear
 7. A set having no element is called _______.a) Proper subset b) Null setc) Zero setd) Subset
 8. A ________ set is represented by { }.a) Null set b) Full setc) Power setd) Real set
 9. If number of elements in a set is finite then the set is called ________.a) Power set b) Infinite setc) Finite setd) Null set
 10. A set which is not finite is called _______.a) Infinite set b) Proper subsetc) Equivalent setd) Negative set
 11. __________ is a subset of every set.a) Null set b) Subsetc) Proper subsetd) Power set
 12. If A and B are two sets and every element of set A is an element of the set B then set is called ____ of set B.a) Subset b) Real subsetc) Proper subsetd) Set
 13. Every set is a _______ of itself.a) Equal set b) Empty setc) Subsetd) Null set
 14. If A and B are two sets and every element of set A is also an element of set B but at least one element of set B is not an element of set A then set A is called a __________ set of B.a) Null set b) Subsetc) Proper subsetd) Power set
 15. Every set is a subset of itself but not a _______.a) Improper set b) Proper setc) Subsetd) Proper subset
 16. If A and B are two sets and set is a subset of set B but there is no element of set B which is not present in set A then A is called ____________ subset of set B.a) Single ton b) Nul setc) Properd) Imroper
 17. All the subsets of a set except the set itself are ___________.a) Opposite b) Improper subsetsc) Proper subsetsd) Adjesant
 18. Every set is ___________ of itself.a) Power set b) Improper subsetc) Null setd) Proper set
 19. There is no proper subset of _______.a) Power set b) Empty setc) Single ton setd) Subset
 20. There is/are ________ proper subsets of single tonset.a) 4 b) 1c) 3d) 2
 21. If A is any set containing of all the subsets of the set A is called ___________.a) Improper subset b) Power setc) Proper setd) Finite set
 22. If every element of set A is also an element of set B then and every element of a set B is also an element of a set A i.e.both the sets have the same elements then the set A and the set B are called _________.a) Subsets b) Poper subsetsc) Unfinite setsd) Equal sets
 23. The symbol used for union of two sets is "U".a) O b) Ec) Pd) U
 24. A U B=B U A this commutative property holds in ________.a) Intersection sets b) Oppositec) Union setsd) Equlateral expression
 25. The symbol used for intersection is __.a) U b) =c) nd) --u
 26. A n B=B n A shows commotative property in _________.a) Unions of sets b) Additionc) Devisiond) Intersections
 27. If A and B are two sets then their difference is given by _____.a) A x B b) A = Bc) A U Bd) A - B
 28. A set consisting of all the elements of sets under construction is called ________.a) Universal set b) Intersecting setc) Union setd) Power set
 29. A universal set is denoted by ___________.a) Capital english letter b) Small english letterc) Alphabetsd) Sumbols
 30. If U is a universl set A is a subset of U, then U - A is called ___________a) Subset of A b) Universal set of Ac) Compliment of set Ad) Proper subset of set A
 31. If number of elements in two sets is equal then they are called ___________.a) Power set b) Equivalent setc) Universal setd) Equal set
 32. If A and B are two sets then to see that the given two sets are equivalent or not every element of set is associated with __ element of set B.a) 1 b) 4c) 2d) 3
 33. If A and B are any two sets with no element common in these sets i.e. A n B=[ ] then set A and B are called ________.a) Proper set b) Disjoint setsc) Improper setd) Joint set
 34. Set of natural numbers:a) [1, 3, 4, 6 ,8 ,9 ] b) [ 1, 2, 3, 4, ..........]c) [ 2, 4, 6, 8,............]d) [ 0,1, 3, 5, 7, 9,]
 35. Set of integers:a) [3, 2, 1, 0, -1,] b) [-1, -3, -5, -7.........]c) [-3, -2, -1, 0 1, 2, 3,]d) [.... -3, -2, -1, 0, 1, 2, 3, ...]
 36. Set of Prime numbers:a) [1, 3, 5, 7, 9, .....] b) [2, 3, 5, 7, 11, ...]c) [2, 3, 4, 5, 7, 9, ....]d) [1, 4, 6, 8, 9, 10, ....]
 37. Set of odd numbers:a) [2, 3, 5, 7, 11, .....] b) [2, 4, 6, 8, ....]c) [1, 2, 3, 4, 5, ....]d) [1, 3, 5, 7, 9, .....]
 38. Set of even numbers:a) [2, 4, 6, 8, 10, ......] b) [1, 3, 5, 6, 7, 8, ...]c) [0, 1, 2, 3, 4, .....]d) [2, 4, 7, 3, 8, ...]
 39. Set of whole numbers:a) [2, 4, 6, 8, 10 ......] b) [1, 2, 3, 4, 5, 6, 7, 8, .....]c) [0, 1, 2, 3, 4, 5, 6, 7, .....]d) [1, 3, 5, 7, 9, ......]
 40. Set of rational numbers:a) P b) Qc) Ud) n
 41. Set of irrational numbersa) U b) Qc) Pd) Q'
 42. Set of real numbers:a) R=Q U Q' b) Q=R U R'c) Q'=Q U Rd) Q=R U Q'
 43. A set can also be described by another way called _________-.a) Discriptive method b) Right hand side methodc) Tabular methodd) Set builder notation.
 44. If A, B, C are any three sets then (A U B) UC = A U (B U C) is calleda) Associative property of intersection of union b) Associative property of unions.c) Associative property of union of setsd) Associative property of union over intersection
 45. If A, B, C, are any three sets then (A n B) n C = A(BnC) is called _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ .a) Associative property of intersection of sets. b) Associative property of unionsc) Associative property of union over intersection.d) Associative property of intersection over union.
 46. If A, B, C, are any three sets then AU(BnC)=(AUB)n(AUC) is called _ _ _ _ _ _ _ _ _ .a) Associative property of intersection over union b) Distributive property of intersection over unionc) Distributive property of union over intersection .d) Associative property of union over intersection
 47. _ _ _ _ _ _ _ means a pairs of two numbers in which the sequence of these numbers is maintained.a) New pair b) Double pairc) Sequenced paird) Ordered pair
 48. _ _ _ _ _ _ _ of any set can be written in any sequence.a) Alphabets b) Figuresc) Elementsd) Numbers
 49. There is a clear difference between an orderd and _ _ _ _ _ _ _ _ .a) A set containing three elements. b) A set containing no elements.c) A set containing one elements.d) A set containing two elements.
 50. If A and B are two non-empty sets, then every subset R of set AxB is called _ _ _ _ _ _ .a) Logical relation. b) Logic relation.c) Non binary relation.d) Binary relation.
 51. Binary relations of A x B and B x A is _ _ _ _ _ _ _ .a) False b) Samec) Trued) Different
 52. If the number of elements in set A is M and in set B, is N then number of binary relation in AxB will be_ _ _ _ .a) mn3 b) 2mnc) 3mnd) mn2
 53. If set R is a binary relation then the set consisting of first elements of all the orered pairs of R is called _ _ _ _ .a) Domain of R b) Integer of Rc) Range of Rd) Reciprocl of R
 54. The set consisting of second elements of all the odered pairs of R is called _ _ _ _ _ _ .a) Domain of R b) Reciprocl of Rc) Range of Rd) Integer of R
 55. N = [1, 2, 3, 4, ..........]a) Odd numbers b) Naturalc) Prime numbersd) Whole set
 56. W = [0, 1, 2, 3, 4, ..................]a) Finite set b) Natural numbersc) Infinite setd) Whole numbers
 57. Z = [.........-3, -2, -1, 0, 1, 2, 3, 4, 5, ..........]a) Prime numbers b) Irrational setc) Integers setd) Rational numbers
 58. P = [2, 3, 5, 7, 11, ...]a) Finite set b) Prime numbersc) Odd numbersd) Natural set
 59. O = [1, 3, 5, 7, 9, .........]a) Whole numbers b) Integeresc) Even numbersd) Odd numbers.
 60. E = [2, 4, 6, 8, ...........]a) Natural numbers b) Real numbersc) Equal setsd) Even numbers
 61. The union of two sets A and B is a set consisting of all the elements of set A and B.a) Trueb) False
 62. A U B=[1, 2, 3, 5, 7, 9, 11] B U A=[1, 2, 3, 5, 7, 9, 11] showsa) Commutative property holds in the union of sets b) Commutative property holds in intersection of setsc) Closure property holds in intersection of setsd) Closure property holds in the union of sets
 63. The intersection of two sets A and B is a set consisting of all the common elements of set A and set Ba) Falseb) True
 64. A n B=[-2, 0, 3] B n A=[-2, 0, 3] showsa) Commutatiive property holds in union of two sets b) Closureproperty holds in union of two setsc) Closure property holds in intersection of two setsd) Commutative property holds in intersection of two sets
 65. Difference of two sets is equal to?a) A / B b) A x Bc) A - Bd) A + B
 66. A - B contains all the elements of a set A which are not present in set Ba) Falseb) True
 67. If A = [2, 3, 4, 5] and B=[3, 5, 11, 15] then A - B is equal toa) [3, 5, 15] b) [2, 4, 15]c) [3, 5]d) [2, 4]
 68. If A is a proper subset of B (A(B)] then A - B=a) [ ] b) Empty setc) Null setd) All are correct
 69. How a universal set is denoted:a) By small english letter u b) By capital english letter Uc) By capital english letter Ed) By small english letter e
 70. If some students of class X are under consideration then a set consisting of all students of class X shall be a _ _ _ _ _ _ _ .a) Compliment of X b) Complimentary setc) Single ton setd) Universal set
 71. If there is some problem under consideration about all the students of a school then :a) The compliment of X shall be consisting of all the students of a school b) The universal set shall be consisting of all the students of a schoolc) The universal set shall be consisting of some of the students of a schoold) The universal set shall be consisting of all the students of Class X
 72. If U is a universal set and set A is a subset of U, then U - A is called :a) The compliment of set A b) Universal set is the compliment of set Ac) The universal set of set Ad) Set A is the compliment of universal set
 73. Qa) Natural b) Irrationalc) Reald) Rational
 74. R = Q U Q'a) Rational b) Realc) Irrationald) Natural
 75. Writing a set in the form of [1, 2, 3, 4, 5,] is called _ _ _ _ _ _ _ _ .a) Graphical method b) Discriptive methodc) Tabular methodd) Linear method
 76. If A, B and C are three sets then AU(BnC)=(AUB)n(AUC) is called distributive property of _ _ _ _ _ over _ _ _ _ _ _ .a) Sets over elements b) Elements over setsc) Union over intersectiond) Intersection over union
 77. Two methods of presenting a set are _______ and tabular method.a) nul b) graphicc) discriptived) linear
 78. If a set contains k elements then P(A) will containa) 2k b) 22kc) k x kd) 2k2
 79. If number of elements in A are 3 and in set B is 4 then number of elements in A x B are a) 24 b) 3 x 4c) 32d) 23
 80. If f is a function from set A to set B such that then a) f is 1-1 b) f is intoc) f is on-tod) f is bijective
 81. If N= set of Natural numbers P= Set of Prime Numbers then N n P isa) N b) Ec) Pd) Q
 82. If A={1,3,5,7} and B= {2,3,5,7,11} then B-A is a) {3,5,7} b) {1,2,3,5,7,11}c) {1}d) {2,11}
 83. If (3, y+1) = (3,-1) then value of y will be 2 a) _3/2 b) 3c) _3d) 3/2
 84. The ordinate of any point on X-axis is always a) Negative b) Positivec) Zerod) 1
 85. If A contains 6 elements and B has 7 elements then the number of all possible binary relations are a) 27 x 6 b) 22c) 6x6d) 7x7
 86. If A= {x?xeP and xis smaller than 23} then tabular form of A isa) {1,3,5,7,9,11,13} b) {2,3,5,7,11,13,17,19}c) {2,3,5,7,11,13,17,19,23}d) {3,6,9,12,15,18,21}
 87. The range of f = {(a,x), (b,y), (c,y),(d,t)} isa) {a,x,y} b) {x,y,t}c) {a,b,c,d}d) {b,y,t}
 88. If U= {1,2,3,4,5,�..10} A= {2,4,6,8,10} B= {3,6,9} then (AUB)c isa) {1,3,5,7,9} b) {1,2,3,4,5,7,8,9,10}c) {1,5,7,}d) {2,3,4,6,8,9,10}
 89. If U= {1,2,3, ........10} A= {2,3,5,7} , B= {1,3,5,7,9} then (AnB)c isa) {3,5} b) {1,4,6,8,9,10)c) {1,2,3,5,7,9}d) {1,2,4,6,7,8,9,10}
 90. If A?B then AUB isa) {} b) Bc) Ad) AnB
 91. If X ? Y then X n Y is?a) x b) yc) ycd) {}
 92. If A = {1,2,3,} B= {a,b,c} and f= {(1,a), (1,b) (2,c), (3,b)} then f isa) f is not a function e) f is into function b) f is bijective functionc) f is onto functiond) 1-1 function
 93. If B={y?yeE2 is smaller than y and is smaller than 4} then tabular form of B isa) {4} b) {2, 4}c) {2}d) {}
 94. If AnB = ? thena) B?A b) A?Bcc) A?Bd) Ac?Bc
 95. If A is any set then A-Aca) Ac b) Uc) Ad) {}
 96. An(BUC) = (AnB) U (AnC) is calleda) Commutative property w.r.t. union b) Distributive property of inter section over unionc) associative property of uniond) Distributive property of union over intersection
 97. If E= set of Even numbers O= set of odd numbers then EnO isa) E b) {}c) Od) set of all integer
 98. The set of first five positive integers is a tabular method of presenting a set.a) Falseb) True
 99. The presence of an element in a set is denoted by the symbola) Falseb) True
 100. Set of integer is an infinite set.a) Trueb) False
 101. If A and B are any two sets and A is not a subset of B, is denoted as A�B.a) Trueb) False
 102. Every set is a subset and proper subset of itself.a) Trueb) False
 103. The union of two sets A and B is a set consisting of all the elements of set A and set B.a) Falseb) True
 104. If A is a subset of given universal set �U� then A U Ac=Fa) Falseb) True
 105. A - B is a set that consists of all the elements of a set A, which are present in set B.a) Falseb) True
 106. If A ={x,y,z}, B={2,3,4} then set A and set B are called equivalent sets.a) Trueb) False
 107. If A ={2,3,5,7,11}, then the set builder notation of set A is {x?x?P^2 smaller than x smaller than 11}.a) Trueb) False
 108. If A ={o,1,2,3,..........}, B={1,2,3,.........} then A-B={0}a) Falseb) True
 109. If U=N, A= F then Ac= Fa) Falseb) True
 110. Orders pair means a pair of two numbers in which the sequence of these numbers is maintained.a) Falseb) True
 111. The elements �a� and �b� of an order pair (a,b) are called the coordinates of the point P.a) Trueb) False
 112. The point (-3, -4) lies in fourth quadrant.a) Trueb) False
 113. If set R is a binary relation, then the set consisting of second elements of all the ordered pairs of R is called the domain of R.a) Trueb) False
 114. If f is a function from set A to set B that Range (f) �B, then f is called an into function from set A to B.a) Trueb) False
 115. If there are five elements in a set A and three elements in a set B, the number of elements in A x B are 1028.a) Falseb) True
 116. IF L={a,b,c,d} and R={(a,b), (b,c) (c,d), (a,a)} the R is a function from L on to L.a) Falseb) True
 117. If the number of elements in set �A� is �n� then the number of element in P(A) is 2n.a) Trueb) False
 118. If the number of elements in set X and set Y is 3 each, the number of binary relations in X � Y is 29a) Falseb) True
 119. In ordered pair (2, -3) the ordinate of point is 2.a) Trueb) False
 120. If D={3x/Xe W^X is smaller than 10} the descriptive form of D is {3,6,9,12,15,18,21,24,27,30}a) Falseb) True
 122. The range of R={(3,4), (5,7), (8,11)} is {4,7,11}.a) Trueb) False
 129. Two sets A and B are said to be ___________ sets, if A is a sub set of B and B is a subset of A.Click here to enter your answer!