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ECAT Mathematics Chapter 2 Set Function and Groups Online Test MCQs With Answers
Question # 1
Two sets A and B are said to be disjoint if
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Question # 2
The set { {a, b} } is
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Infinite set
Singleton set
Two points set
Empty set
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Question # 3
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a constant function
linear function
quadratic funtion
none of these
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Question # 4
A monoid (G, *) is said to be group if
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have identity element
is commutative
have inverse of each element
None of these
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Question # 5
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Question # 6
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A
B
A'B'
B'A
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Question # 7
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A
B
A'
None of these
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Question # 8
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Addition
Multiplication
Division
Both addition and multiplication
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Question # 9
The set {-1, 1} is closed under the binary operation of
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Addition
Multiplication
Subtraction
Division
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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
If A is a subset of B and B contains at least one element which is not an element of A, then A is said to be
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Improper subset of B
Super set of B
Proper subset of B
None of these
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Question # 12
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 # 13
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 # 14
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Question # 15
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 # 16
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 # 17
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 # 18
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 # 19
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Question # 20
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 # 21
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 # 22
The set {1, -1, 1, -1}, form a group under
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Addition
Multiplication
Subtraction
None
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Question # 23
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Question # 24
The set {x +iy / x, y ∈ Q} forms a group under the binary operation of
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Addition
Multiplication
Division
Both addition and multiplication
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Question # 25
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Question # 26
For any set X, X∪X is
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X
X'
Φ
Universal Set
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Question # 27
If #n = (n-5)
2
+ 5, then find #3 x #4.
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54
12
4
9
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Question # 28
If C={p/p < 18, p is a prime number}, then C =
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{2,3,4,.........17}
{2,4,6,8................16}
{1,3,5,7,9,11,13,15,17}
{3,6,9,12,15}
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Question # 29
The number of subsets of B = {1,2,3,4,5}
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10
32
16
5
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Question # 30
(A∪B)∪C= --------------------------
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A∩B(B∪C)
A∪(B∪C)
A∪(B∩C)
None of these
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