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ECAT Mathematics Chapter 2 Set Function 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
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
In a country, 55% of the male population has houses in cities while 30% have houses both in cities and in village. Find the percentage of the population that has house only in villages.
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45
30
25
50
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Question # 4
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 # 5
If a = {2m/2m < 9 ,m€ p} , the (n A) =
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{2,3,4,5,6,7,8}
{2,4,6,8............16}
{ 4, 6}
{2,3,5,7}
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Question # 6
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A onto B
both a & c
A into B
none of these
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Question # 7
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 # 8
The set of rational numbers is subset of
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The set of natural numbers
The set of real numbers
The set of integers
The set of whole numbers
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Question # 9
The set {Z\{0}} is group w.r.t
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Addition
Multiplication
Division
Subtraction
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Question # 10
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 # 11
If 0 = {1,3,5.......}, then n (0) =
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99
odd integers
Even numbers
Infinite
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Question # 12
Which of the following is the subset of all sets
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Φ
{1,2,3}
{Φ}
{0}
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Question # 13
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 # 14
The set which has no proper subset is
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{0}
{}
{∅}
None of these
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Question # 15
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A finite set
An infinite set
An empty set
None of these
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Question # 16
A - B = ______
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Question # 17
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 # 18
The complement of set A relative to universal set U is the set
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Question # 19
If n(X) = 18, n(X∩Y) = 7, n(X∪ Y) = 40 then n(Y) =
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1
12
5
29
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Question # 20
Additive inverse of -a -b is
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a
-a + b
a - b
a + b
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Question # 21
The function f{(x, y) | y = ax
2
+ bx + c} is
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One-one function
Constant function
Onto function
Quadratic function
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Question # 22
Z is a
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Infinite set
Finite set
Singleton set
Set of all integers
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Question # 23
The set {-1, 1} is closed under the binary operation of
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Addition
Multiplication
Subtraction
Division
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Question # 24
If D = {a} , the P(D) =
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{a}
∅
{∅,{a}}
{∅,a}
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Question # 25
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A = C
A = B
B = C
None of these
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Question # 26
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Addition
Subtraction
Multiplication
None of these
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Question # 27
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A
B
U
None of these
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Question # 28
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Question # 29
P∉ A means
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P
is subset of A
P
is an element of A
P does not belongs to A
A does not element of
P
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Question # 30
If a set S contains "n" elements then P (S) has ...... number of elements
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2
n
2
2n
2 . n
n
2
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Question # 31
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A
A'
U
None of these
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