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Mathematics ECAT Pre Engineering Chapter 2 Set, Functions and Groups Online Test MCQs With Answers
Question # 1
If A∩B=B, then n(A∩B) is equal to
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n(a)
n(a)+n(c)
n(c)
None of these
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Question # 2
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a constant function
linear function
quadratic funtion
none of these
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Question # 3
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 # 4
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An empty set
Universal set
A singleton set
None of these
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Question # 5
{x|x∈R∧x≠x} is a
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Infinite set
Null set
Finite set
None of these
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Question # 6
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-x
Infinite set
{-4, 4}
None of these
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Question # 7
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 # 8
A conditional is regarded as false only when the antecedent is true and consequent is
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True
False
Known
Unknown
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Question # 9
The identity elements with respect to subtraction is
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0
1
-1
Does not exist
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Question # 10
The set of the first elements of the orders pairs forming a relations is called its
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Relation in B
Range
Domain
Relation in A
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Question # 11
(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 # 12
(A ∩ B)c =
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A∩ B
(A ∪ B)c
Ac∪Bc
Φ
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Question # 13
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 # 14
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 # 15
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Question # 16
If A is a set then any subset R of A 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 # 17
If a 1-1 correspondence can be established b/w two sets A and B, then they are called
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Equal sets
Equivalent sets
Over lapping sets
None of these
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Question # 18
The number of subsets of B = {1,2,3,4,5}
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10
32
16
5
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Question # 19
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 # 20
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 # 21
If there is one-one correspondence between A and B, then we write.
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A = B
A⊆ B
A⊇ B
A ∼ B
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Question # 22
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 # 23
If A⊆ B, and B is a finite set, then
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n (a) < n(B)
n(B)<(A)
n(A)≤ n (B)
n(A)≥ n(B)
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Question # 24
Which of the following has the same value as i113
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i
-1
-i
1
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Question # 25
Multiplicative inverse of "1" is
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+- 1
0
1
None of these
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Question # 26
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Biconditional
Implication
Antecedent
Hypothesis
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Question # 27
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Question # 28
Which of the following is the definition of singleton
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The objects in a set
A set having no element
A set having no subset
None of these
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Question # 29
For a set A, A∪Ac= ---------------------
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A
∅
Ac
U
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Question # 30
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A = C
A = B
B = C
None of these
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Question # 31
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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