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ECAT Pre General Science Mathematics Chapter 2 Set, Functions and Groups Online Test MCQs With Answers
Question # 1
Z is a
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Infinite set
Finite set
Singleton set
Set of all integers
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Question # 2
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Question # 3
For a set A, A∪Ac= ---------------------
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A
∅
Ac
U
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Question # 4
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A
B
U
None of these
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Question # 5
If P = {x/x = p/q where p,q∈ Z and q≠ 0}, then P is the set of
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Irrational numbers
Even numbers
Rational numbers
Whole numbers
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Question # 6
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 # 7
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 # 8
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A
A'
U
U'
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Question # 9
If z1 = 2 + 6i and z2 = 3 + 7i then which expression defines the product of z1 and z2
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36 +(-32)i
-36+32i
6+(-11)i
0, +(-12)i
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Question # 10
The number of subsets of B = {1,2,3,4,5}
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10
32
16
5
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Question # 11
Z is a group under
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Subtraction
Multiplication
Addition
None of these
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Question # 12
The identity element of a set X with respect to intersection in P(x) is
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X
Does not exist
∅
None of these
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Question # 13
The set of the first elements of the ordered pairs forming a relation is called its
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Function on B
Range
Domain
A into B
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Question # 14
{1, 2, 3} is _____
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an infinite set
A finite set
A singleton set
Universal set
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Question # 15
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Question # 16
The set of integers is a subset of
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The set of natural numbers
The set of whole numbers
The set of prime numbers
The set of rational numbers
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Question # 17
A = B if
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A is equivalent to B
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Question # 18
(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 # 19
The set Q
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Forms a group under addition
Does not form a group
Contains no additive indentity
Contains no additive inverse
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Question # 20
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 # 21
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 # 22
To each element of a group there corresponds ............. inverse element
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Two
One
No
Three
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Question # 23
If D = {a} , the P(D) =
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{a}
∅
{∅,{a}}
{∅,a}
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Question # 24
The set {-1, 1} is closed under the binary operation of
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Addition
Multiplication
Subtraction
Division
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Question # 25
The set (Z, +) forms a group
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Forms a group w.r.t addition
Forms a group w.r.t multiplication
Non commutative group w.r.t multiplication
Doesn't form a group
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Question # 26
The set (Q, .)
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Forms a group
Does not form a group
Contains no additive identity
Contains no additive inverse
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Question # 27
The geometrical representation of a linear function is
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Circle
Parabola
Straight lie
None of these
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Question # 28
The set {x|x∈N∧x-4=0} in tabular form is
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{-4}
{0}
{}
None of these
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Question # 29
0 is a symbol of
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singleton set
Empty set
Equivalent set
Infinite set
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Question # 30
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≠ C
B = C
A = B
A≠ B
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Question # 31
If A ⊆ B then A ∪ B is
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A
B
A'
A ∩B
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