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Mathematics ECAT Pre Engineering Chapter 2 Set, Functions and Groups Online Test MCQs With Answers
Question # 1
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square root function
identity function
linear function
quadratic function
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Question # 2
If x = 1/x for x ∈ R then the value of x is
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±1
0
2
4
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Question # 3
The multiplicative inverse of -1 in the set {1-, 1} is
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1
-1
+-1
0
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Question # 4
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 # 5
A disjunction of two statement p and q is true
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p is false
q is false
Both p and q are false
One of p and q is true
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Question # 6
The set {-1,1} is closed under the binary operation of
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Addition
Multiplication
Subtraction
Division
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Question # 7
The identity element of a set X with respect to intersection in P(x) is
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X
Does not exist
∅
None of these
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Question # 8
The statement that a group can have more than one identity elements is
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True
False
Fallacious
Some times true
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Question # 9
If B-A≠φ , then n(B-A) is equal to
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n(a)+n(c)
n(c)-n(a)
n(a)-n(c)
None of these
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Question # 10
Which symbolic notation represent unary operation ?
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-
∨
∧
⇔
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Question # 11
A set having only one element is called
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An empty set
Universal set
A singleton set
A power set
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Question # 12
A∪(A∪B)= --------------------
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B
A
A∪B
None of these
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Question # 13
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A = B
B = C
A = C
None of these
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Question # 14
The set of even prime numbers is
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(2,4,6,8,10}
{2,4,6,8,10,12}
{1,3,5,7,9}
{2}
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Question # 15
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 # 16
The set of all positive even integers is
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Not a group
A group w.r.t subtraction
A group w.r.t division
A group w.r.t multiplication
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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 complement of set A relative to universal set U is the set
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Question # 19
Every subset of a finite set is
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Disjoint
Null
Finite
Infinite
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Question # 20
{1, 2, 3, 4,.....} is set of ______
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Natural numbers
Whole numbers
Integers
Rational numbers
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Question # 21
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An empty set
Universal set
A singleton set
None of these
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Question # 22
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 # 23
The set of months in a year beginning with S.
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{September, October, November}
Singleton set
Null set
Empty set
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Question # 24
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 # 25
If A and B are two sets then intersection of A and B is denoted by
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Question # 26
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 # 27
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 # 28
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 # 29
The negation of given number is a
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Binary operation
Unary operation
Relation
None of these
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Question # 30
Additive inverse of -a -b is
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a
-a + b
a - b
a + b
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Question # 31
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