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Mathematics ECAT Pre Engineering Chapter 2 Set, Functions and Groups Online Test MCQs With Answers
Question # 1
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 # 2
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Question # 3
Multiplicative inverse of 0 is
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0
1
+-1
Does not exist
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Question # 4
Group of none-singular matrices under multiplication is
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None-Abelian group
Semi group
Abelian group
None of these
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Question # 5
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 # 6
Given X.Y are any two sets such that number of elements in X = 18, number of elements in set Y = 24,and number of elements in set X∪ Y =40,then number of elements in set x∩ Y =
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3
1
2
4
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Question # 7
The set {1,-1, i, -i} form a group under
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Addition
Multiplication
Subtraction
None
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Question # 8
{0} is a
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Empty set
Singleton set
Zero set
Null Set
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Question # 9
The multiplicative inverse of -1 in the set {1-, 1} is
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1
-1
0
Does not exist
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Question # 10
A∪(A∪B)= --------------------
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B
A
A∪B
None of these
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Question # 11
The total number of subsets that can be formed out of the set {a, b, c} is
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1
4
8
12
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Question # 12
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Question # 13
A conjunction of two statement p and q is true only if
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p is true
q is true
Both p and q are true
both p and q are false
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Question # 14
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Question # 15
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 # 16
The multiplicative inverse of x such that x = 0 is
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-x
does not exist
1/x
0
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Question # 17
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Singleton set
A set with two points
Empty set
None of these
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Question # 18
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3
1
2
4
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Question # 19
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 # 20
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A = C
A = B
B = C
None of these
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Question # 21
A function whose range is just one elements is called
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One-one function
Constant function
Onto function
Identity function
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Question # 22
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Question # 23
The number of subsets of B = {1,2,3,4,5}
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10
32
16
5
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Question # 24
Multiplicative inverse of "1" is
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0
-1
1
{0, 1}
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Question # 25
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A
B
U
None of these
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Question # 26
Φ
set is the ______ of all sets?
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Subset
Union
Universal
Intersection
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Question # 27
The set of real numbers is a subset of
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The set of natural numbers
The set of rational numbers
The set of integers
The set of complex numbers
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Question # 28
Identity w.r.t intersection in a power set of any set is
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∅
Set itself
Singleton set
{0}
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Question # 29
The set of complex numbers forms a group under the binary operation of
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Addition
Multiplication
Division
Subtraction
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Question # 30
Decimal part of irrational number is
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Terminating
Repeating only
Neither repeating nor terminating
Repeating and terminating
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Question # 31
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None of these
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