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Mathematics ECAT Pre Engineering Chapter 2 Set, Functions and Groups Online Test MCQs With Answers
Question # 1
A function whose range is just one element is called
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One-one function
Constant function
Onto function
Identity function
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Question # 2
The set R is ______ w.r.t subtraction
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Not a group
A group
No conclusion drawn
Non commutative group
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Question # 3
If A ⊆ B then A ∪ B is
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A
B
A'
A ∩B
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Question # 4
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A
A'
U
U'
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Question # 5
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 # 6
Let A and B be two sets. If every element of A is also an element of B then
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Question # 7
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A = B
B = C
A = C
None of these
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Question # 8
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 # 9
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Question # 10
A statement which is either true or false is called
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Induction
Deduction
Propositicon
Logic
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Question # 11
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 # 12
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None of these
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Question # 13
Multiplicative inverse of "1" is
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0
-1
1
{0, 1}
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Question # 14
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Question # 15
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A onto B
both a & c
A into B
none of these
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Question # 16
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Question # 17
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 # 18
If A and B are two sets then any subset R of B x A 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 # 19
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a-b=ab
ab=a
a+b=ab
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Question # 20
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 # 21
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 # 22
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 # 23
The multiplicative inverse of x such that x = 0 is
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-x
Does not exist
1/x
±1
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Question # 24
The set which has no proper subset is
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{0}
{}
{∅}
None of these
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Question # 25
The number of subset of {0} is
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1
2
3
None
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Question # 26
The number of subsets of B = {1,2,3,4,5}
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10
32
16
5
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Question # 27
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 # 28
For any set X, X∪X is
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X
X'
Φ
Universal Set
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Question # 29
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A is proper subset of B
A is an improper subset of B
A is equivalent to B
B is subset of A
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Question # 30
{0} is a
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Empty set
Singleton set
Zero set
Null Set
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Question # 31
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1
12
5
29
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