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Online Tests
ECAT Mathematics Chapter 2 Set Function and Groups Online Test MCQs With Answers
Question # 1
The set Q
Choose an answer
Forms a group under addition
Does not form a group
Contains no additive indentity
Contains no additive inverse
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Question # 2
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None of these
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Question # 3
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 = B
B = C
A≠ C
A ≠ B
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Question # 4
Under multiplication, solution set of is
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Groupoid
Abelian group
Semi group
All of these
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Question # 5
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 # 6
Onto function is also called
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Binjective function
Injective function
Surjechive function
None of these
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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
Which of the following sets in infinite
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The set of students of your class
The set of all schools in Pakistan
The set of natural numbers between 3 and 10
The set of rational numbers between 3 and 10
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Question # 9
To each element of a group there corresponds ............. inverse element
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Two
One
No
Three
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Question # 10
Additive inverse of -a -b is
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a
-a + b
a - b
a + b
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Question # 11
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 # 12
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A = B
B = C
A = C
None of these
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Question # 13
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 # 14
The sets {1, 2, 4} and {4, 6, 8, 10} are
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Equal sets
Equivalent sets
Disjoint sets
Over lapping sets
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Question # 15
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 # 16
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 =
Choose an answer
3
1
2
4
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Question # 17
The number of proper subset of A ={a.b.c.d} is
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3
6
8
15
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Question # 18
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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 # 19
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 # 20
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 # 21
Which of the following statement is true?
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A set is a collection of non-empty object
A set is a collection of only numbers
a set is any collection of things
a set is well-defined collection of objects
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Question # 22
Z is the set of integers (Z.*) is a group with a * b = a +b +1, a,b ∈ G.then inverse of a is
Choose an answer
-a
a +1
-1-a
None of these
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Question # 23
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Conclusion
Implication
Antecedent
Hypothesis
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Question # 24
{0} is a
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Empty set
Singleton set
Zero set
Null Set
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Question # 25
The number of subsets of B = {1,2,3,4,5}
Choose an answer
10
32
16
5
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Question # 26
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 # 27
A = B iff
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All elements of A also the elements of B
A and B should be singleton
A and B have the same number of elements
If both have the same element
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Question # 28
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 # 29
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Question # 30
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A
B
A'B'
B'A
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Question # 31
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