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Mathematics ECAT Pre Engineering Chapter 2 Set, Functions and Groups Online Test MCQs With Answers
Question # 1
{1, 2, 3, 4,.....} is set of ______
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Natural numbers
Whole numbers
Integers
Rational numbers
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Question # 2
Which of the following sets is finite
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The set of natural numbers between 3 and 10
The set of rational numbers between 3 and 10
The set of real numbers between 0 and 1
The set of rational numbers between 0 and 1
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Question # 3
The complement of set A relative to universal set U is the set
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{x / x∈ A∧ x∈ U}
{x / x∉ A∧ x ∈ U}
{x / x∈ A and x ∉ U}
A-U
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Question # 4
Power set of X i.e P(X)..........under the binary operation of union U
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Forms a group
Does not form a group
Has no identity element
Infinite set although X is infinite
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Question # 5
(A∪B)∪C= --------------------------
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A∩B(B∪C)
A∪(B∪C)
A∪(B∩C)
None of these
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Question # 6
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A = B
B = C
A = C
None of these
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Question # 7
G = {e, a, b, c} is an Abelian group with e as identity element. The order of the other elements are
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2, 2, 2
3, 3, 3
2, 2, 4
2, 3, 4
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Question # 8
Z is a
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Infinite set
Finite set
Singleton set
Set of all integers
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Question # 9
If A = {2m/m
3
= 8 , m€ Z} then A =
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{1,8,27}
{4}
(2,4,6}
{2,16,54}
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Question # 10
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 # 11
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Question # 12
The set {-1, 1} is
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Group under the multiplication
Group under addition
Does not form a group
Contains no identity element
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Question # 13
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none of these
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Question # 14
The negation of given number is a
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Binary operation
Unary operation
Relation
None of these
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Question # 15
The set {-1, 1} is closed under the binary operation of
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Addition
Multiplication
Subtraction
Division
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Question # 16
The identity elements with respect to subtraction is
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0
1
-1
Does not exist
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Question # 17
If A and B are two sets then any subset R of A x B is called
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relation on A
relation on B
relation from A to B
relation from B to A
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Question # 18
What is the number of elements of the power set of { }
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0
1
2
3
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Question # 19
What is the number of elements of the power set of {0, 1}
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1
2
3
4
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Question # 20
A conditional "if p then q" is denoted by
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Question # 21
P∉ A means
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P
is subset of A
P
is an element of A
P does not belongs to A
A does not element of
P
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Question # 22
A = B if
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A is equivalent to B
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Question # 23
if A = (x/x€ Q˄ 0 < x < 1}, the A is
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Infinite set
Finite set
Set of rational numbers
Set of real numbers
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Question # 24
The set (Z, +) forms a group
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Forms a group w.r.t. addition
Non commutative group w.r.t. multiplication
Forms a group w.r.t multiplication
Doesn't form a group
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Question # 25
The set of the first elements of the orders pairs forming a relation is called its
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Relation in B
Range
Domain
Relation In A
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Question # 26
If A and B are two sets then intersection of A and B is denoted by
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Question # 27
Choose an answer
square root function
identity function
linear function
quadratic function
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Question # 28
Choose an answer
A
A'
U
None of these
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Question # 29
If T = {2,4,6,8,10,12}, then
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T = (First six natural numbers)
T = (First six odd numbers)
T = (First six real numbers)
T = ( First six even numbers)
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Question # 30
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 # 31
A disjunction of two statement p and q is true
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p is false
q is false
Both p and q are false
One of p and q is true
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