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ECAT Mathematics Chapter 2 Set Function and Groups Online Test MCQs With Answers
Question # 1
Multiplicative inverse of 0 is
Choose an answer
0
1
+-1
Does not exist
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Question # 2
For any set B, BUB' is
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Is set B
Set B'
Universal set
None of these
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Question # 3
The set {{a,b}} is
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Infinite set
Singleton set
Two points set
None
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Question # 4
If S = {3,6,9,12.......}, then
Choose an answer
S = Four multiples of 3
S = Set of even numbers
S = Set of prime numbers
S = All multiples of 3
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Question # 5
The set of months in a year beginning with S.
Choose an answer
{September, October, November}
Singleton set
Null set
Empty set
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Question # 6
The geometrical representation of a linear function is
Choose an answer
Circle
Parabola
Straight lie
None of these
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Question # 7
The number of different ways of describing a set is
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One
Two
Three
Four
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Question # 8
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Question # 9
A conjunction of two statement p and q is true only if
Choose an answer
p is true
q is true
Both p and q are true
both p and q are false
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Question # 10
{1, 2, 3} is _____
Choose an answer
an infinite set
A finite set
A singleton set
Universal set
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Question # 11
Let A,B and C be any sets such that A∪B = A∪C and A∩ B = A∩ C then
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A = B
B = C
A≠ C
A ≠ B
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Question # 12
The set {1,-1,i,-i}
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Form a group w.r.t addition
Form a group w.r.t multiplication
Does not form a group w.r.t multiplication
Not closed under multiplication
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Question # 13
The set of integer is
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Finite group
A group w.r.t addition
A group w.r.t multiplication
Not a group
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Question # 14
The identity elements with respect to subtraction is
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0
1
-1
Does not exist
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Question # 15
For any two sets A and, A ⊆ B if
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x ∈ A ⇒ x ∈ B
x ∉ A ⇒ x ∉ B
x ∈ A ⇒ x ∉ B
None of these
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Question # 16
The number of subsets of a set having three elements is
Choose an answer
4
6
8
none of these
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Question # 17
{0} is a
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Empty set
Singleton set
Zero set
Null Set
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Question # 18
Choose an answer
A
A'
U
A A'
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Question # 19
Choose an answer
A = B
B = C
A = C
None of these
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Question # 20
Choose an answer
Addition
Subtraction
Multiplication
None of these
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Question # 21
Under multiplication, solution set of is
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Groupoid
Abelian group
Semi group
All of these
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Question # 22
Power set of X i.e P(X)..........under the binary operation of union U
Choose an answer
Forms a group
Does not form a group
Has no identity element
Infinite set although X is infinite
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Question # 23
Choose an answer
A
B
U
None of these
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Question # 24
Multiplicative inverse of "1" is
Choose an answer
0
-1
1
{0, 1}
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Question # 25
The set of complex numbers forms
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Commutative group w.r.t addition
Commutative group w.r.t multiplication
Commutative group w.r.t division
Non commutative group w.r.t addition
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Question # 26
The set of all positive even integers is
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Not a group
A group w.r.t. subtraction
A group w.r.t. division
A group w.r.t. multiplication
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Question # 27
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Question # 28
The set of whole numbers is subset of
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The set on integers
The set of natural numbers
{1, 3, 5, 7, ....}
The set of prime numbers
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Question # 29
The set Q
Choose an answer
Forms a group under addition
Does not form a group
Contains no additive indentity
Contains no additive inverse
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Question # 30
For any set X, X∪X is
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X
X'
Φ
Universal Set
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Question # 31
If 0 = {1,3,5.......}, then n (0) =
Choose an answer
99
odd integers
Even numbers
Infinite
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