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Math 9 - All About Sets
1.
The objects involved in a set are called _________.
a) Elements
b) Numericals
c) Alphabets
d) Null sets
2.
Sets are denoted by __________.
a) Capital english letters
b) Symbols
c) Alphabets
d) Small english letters
3.
Elements of sets are denoted by __________.
a) Arrows
b) Alphabets
c) Small english letters
d) Capital english letters
4.
The presence of an element in a set is denoted by ___.
a) E
b) U
c) O
d) B
5.
Two methods of presenting a set are discriptive and _________ method.
a) horizental
b) linear
c) graphic
d) tabular
6.
Set of first five positive integers is a ________ method of representing a set.
a) Graphic
b) Tabular
c) Discriptive
d) Linear
7.
A set having no element is called _______.
a) Proper subset
b) Null set
c) Zero set
d) Subset
8.
A ________ set is represented by { }.
a) Null set
b) Full set
c) Power set
d) Real set
9.
If number of elements in a set is finite then the set is called ________.
a) Power set
b) Infinite set
c) Finite set
d) Null set
10.
A set which is not finite is called _______.
a) Infinite set
b) Proper subset
c) Equivalent set
d) Negative set
11.
__________ is a subset of every set.
a) Null set
b) Subset
c) Proper subset
d) 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 subset
c) Proper subset
d) Set
13.
Every set is a _______ of itself.
a) Equal set
b) Empty set
c) Subset
d) 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) Subset
c) Proper subset
d) Power set
15.
Every set is a subset of itself but not a _______.
a) Improper set
b) Proper set
c) Subset
d) 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 set
c) Proper
d) Imroper
17.
All the subsets of a set except the set itself are ___________.
a) Opposite
b) Improper subsets
c) Proper subsets
d) Adjesant
18.
Every set is ___________ of itself.
a) Power set
b) Improper subset
c) Null set
d) Proper set
19.
There is no proper subset of _______.
a) Power set
b) Empty set
c) Single ton set
d) Subset
20.
There is/are ________ proper subsets of single tonset.
a) 4
b) 1
c) 3
d) 2
21.
If A is any set containing of all the subsets of the set A is called ___________.
a) Improper subset
b) Power set
c) Proper set
d) 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 subsets
c) Unfinite sets
d) Equal sets
23.
The symbol used for union of two sets is "U".
a) O
b) E
c) P
d) U
24.
A U B=B U A this commutative property holds in ________.
a) Intersection sets
b) Opposite
c) Union sets
d) Equlateral expression
25.
The symbol used for intersection is __.
a) U
b) =
c) n
d) --u
26.
A n B=B n A shows commotative property in _________.
a) Unions of sets
b) Addition
c) Devision
d) Intersections
27.
If A and B are two sets then their difference is given by _____.
a) A x B
b) A = B
c) A U B
d) A - B
28.
A set consisting of all the elements of sets under construction is called ________.
a) Universal set
b) Intersecting set
c) Union set
d) Power set
29.
A universal set is denoted by ___________.
a) Capital english letter
b) Small english letter
c) Alphabets
d) 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 A
c) Compliment of set A
d) Proper subset of set A
31.
If number of elements in two sets is equal then they are called ___________.
a) Power set
b) Equivalent set
c) Universal set
d) 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) 4
c) 2
d) 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 sets
c) Improper set
d) 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) Q
c) U
d) n
41.
Set of irrational numbers
a) U
b) Q
c) P
d) Q'
42.
Set of real numbers:
a) R=Q U Q'
b) Q=R U R'
c) Q'=Q U R
d) Q=R U Q'
43.
A set can also be described by another way called _________-.
a) Discriptive method
b) Right hand side method
c) Tabular method
d) Set builder notation.
44.
If A, B, C are any three sets then (A U B) UC = A U (B U C) is called
a) Associative property of intersection of union
b) Associative property of unions.
c) Associative property of union of sets
d) 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 unions
c) 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 union
c) 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 pair
c) Sequenced pair
d) Ordered pair
48.
_ _ _ _ _ _ _ of any set can be written in any sequence.
a) Alphabets
b) Figures
c) Elements
d) 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) Same
c) True
d) 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) mn
^{3}
b) 2
^{mn}
c) 3
^{mn}
d) mn
^{2}
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 R
c) Range of R
d) 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 R
c) Range of R
d) Integer of R
55.
N = [1, 2, 3, 4, ..........]
a) Odd numbers
b) Natural
c) Prime numbers
d) Whole set
56.
W = [0, 1, 2, 3, 4, ..................]
a) Finite set
b) Natural numbers
c) Infinite set
d) Whole numbers
57.
Z = [.........-3, -2, -1, 0, 1, 2, 3, 4, 5, ..........]
a) Prime numbers
b) Irrational set
c) Integers set
d) Rational numbers
58.
P = [2, 3, 5, 7, 11, ...]
a) Finite set
b) Prime numbers
c) Odd numbers
d) Natural set
59.
O = [1, 3, 5, 7, 9, .........]
a) Whole numbers
b) Integeres
c) Even numbers
d) Odd numbers.
60.
E = [2, 4, 6, 8, ...........]
a) Natural numbers
b) Real numbers
c) Equal sets
d) 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) True
b) False
62.
A U B=[1, 2, 3, 5, 7, 9, 11]
B U A=[1, 2, 3, 5, 7, 9, 11] shows
a) Commutative property holds in the union of sets
b) Commutative property holds in intersection of sets
c) Closure property holds in intersection of sets
d) 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 B
a) False
b) True
64.
A n B=[-2, 0, 3]
B n A=[-2, 0, 3] shows
a) Commutatiive property holds in union of two sets
b) Closureproperty holds in union of two sets
c) Closure property holds in intersection of two sets
d) Commutative property holds in intersection of two sets
65.
Difference of two sets is equal to?
a) A / B
b) A x B
c) A - B
d) A + B
66.
A - B contains all the elements of a set A which are not present in set B
a) False
b) True
67.
If A = [2, 3, 4, 5] and B=[3, 5, 11, 15] then A - B is equal to
a) [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 set
c) Null set
d) All are correct
69.
How a universal set is denoted:
a) By small english letter u
b) By capital english letter U
c) By capital english letter E
d) 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 set
c) Single ton set
d) 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 school
c) The universal set shall be consisting of some of the students of a school
d) 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 A
c) The universal set of set A
d) Set A is the compliment of universal set
73.
Q
a) Natural
b) Irrational
c) Real
d) Rational
74.
R = Q U Q'
a) Rational
b) Real
c) Irrational
d) Natural
75.
Writing a set in the form of [1, 2, 3, 4, 5,] is called _ _ _ _ _ _ _ _ .
a) Graphical method
b) Discriptive method
c) Tabular method
d) 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 sets
c) Union over intersection
d) Intersection over union
77.
Two methods of presenting a set are _______ and tabular method.
a) nul
b) graphic
c) discriptive
d) linear
78.
If a set contains k elements then P(A) will contain
a) 2k
b) 22k
c) k x k
d) 2k
^{2}
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 4
c) 32
d) 23
80.
If f is a function from set A to set B such that then
a) f is 1-1
b) f is into
c) f is on-to
d) f is bijective
81.
If N= set of Natural numbers P= Set of Prime Numbers then N n P is
a) N
b) E
c) P
d) 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) 3
c) _3
d) 3/2
84.
The ordinate of any point on X-axis is always
a) Negative
b) Positive
c) Zero
d) 1
85.
If A contains 6 elements and B has 7 elements then the number of all possible binary relations are
a) 2
^{7}
x 6
b) 2
^{2}
c) 6x6
d) 7x7
86.
If A= {x?xeP and xis smaller than 23} then tabular form of A is
a) {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)} is
a) {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 is
a) {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 is
a) {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 is
a) {}
b) B
c) A
d) AnB
91.
If X ? Y then X n Y is?
a) x
b) y
c) yc
d) {}
92.
If A = {1,2,3,} B= {a,b,c} and f= {(1,a), (1,b) (2,c), (3,b)} then f is
a) f is not a function e) f is into function
b) f is bijective function
c) f is onto function
d) 1-1 function
93.
If B={y?yeE
^{2}
is smaller than y and is smaller than 4} then tabular form of B is
a) {4}
b) {2, 4}
c) {2}
d) {}
94.
If AnB = ? then
a) B?A
b) A?Bc
c) A?B
d) Ac?Bc
95.
If A is any set then A-Ac
a) Ac
b) U
c) A
d) {}
96.
An(BUC) = (AnB) U (AnC) is called
a) Commutative property w.r.t. union
b) Distributive property of inter section over union
c) associative property of union
d) Distributive property of union over intersection
97.
If E= set of Even numbers
O= set of odd numbers then EnO is
a) E
b) {}
c) O
d) set of all integer
98.
The set of first five positive integers is a tabular method of presenting a set.
a) False
b) True
99.
The presence of an element in a set is denoted by the symbol
a) False
b) True
100.
Set of integer is an infinite set.
a) True
b) False
101.
If A and B are any two sets and A is not a subset of B, is denoted as A�B.
a) True
b) False
102.
Every set is a subset and proper subset of itself.
a) True
b) 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) False
b) True
104.
If A is a subset of given universal set �U� then A U Ac=F
a) False
b) True
105.
A - B is a set that consists of all the elements of a set A, which are present in set B.
a) False
b) True
106.
If A ={x,y,z}, B={2,3,4} then set A and set B are called equivalent sets.
a) True
b) 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) True
b) False
108.
If A ={o,1,2,3,..........}, B={1,2,3,.........} then A-B={0}
a) False
b) True
109.
If U=N, A= F then Ac= F
a) False
b) True
110.
Orders pair means a pair of two numbers in which the sequence of these numbers is maintained.
a) False
b) True
111.
The elements �a� and �b� of an order pair (a,b) are called the coordinates of the point P.
a) True
b) False
112.
The point (-3, -4) lies in fourth quadrant.
a) True
b) 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) True
b) 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) True
b) 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) False
b) 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) False
b) True
117.
If the number of elements in set �A� is �n� then the number of element in P(A) is 2n.
a) True
b) 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 29
a) False
b) True
119.
In ordered pair (2, -3) the ordinate of point is 2.
a) True
b) 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) False
b) True
121.
A set is a collection of well defined _____________ objects.
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122.
The range of R={(3,4), (5,7), (8,11)} is {4,7,11}.
a) True
b) False
123.
If there is no element present in a set, it is called _____________ set.
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124.
_________________set is a proper subset of every non-empty set.
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125.
There is only one proper subset of a _______________ set.
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126.
Every set is an improper subset of _________________.
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127.
The set consisting of all the subsets of a set is called ____________set.
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128.
If A = ?x, y, z, p} then P (A) will consist of ______________ elements.
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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.
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130.
If A B then A B = ________________.
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131.
For any set A, A
^{Ac}
= ______________.
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132.
For any set x x� xc = _________________.
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133.
Every two equal sets are also _____________ sets.
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134.
If A
^{B}
= ? then A and B are called ___________ sets.
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135.
____________________ can be established between two equivalent sets.
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136.
If two sets have at least one element common in them and none of the set is the subset of the other set then the sets are called ______________ sets.
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137.
The union of rational and irrational numbers is called ______________Number.
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138.
If A, B and C are three sets then AU (BnC) = (AU B) n _______.
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139.
If A = {2, 4, 6, 8, 10} then set builder notation of set A is _______________________.
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140.
If (X �2, 3) = (- 3 , 3) the X = ____________________.
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141.
In (-2, 5) the abscissa is __________________.
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142.
If abscissa of a point is positive and ordinate of it is negative, the point will lie in ____________ quadrant.
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143.
Every subset of a Cartesian product is called _____________relation.
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