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Mathematics ECAT Pre Engineering Chapter 2 Set, Functions and Groups Online Test MCQs With Answers
Question # 1
The set {1,-1, i, -i} form a group under
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Addition
Multiplication
Subtraction
None
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Question # 2
If #n = (n-5)
2
+ 5, then find #3 x #4.
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54
12
4
9
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Question # 3
The statement that a group can have more than one identity elements is
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True
False
Ambiguous
Some times true
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Question # 4
If p and q are two statements then their biconditional 'p if q' is denoted by
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Question # 5
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 # 6
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Question # 7
For any set X, X∪X is
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X
X'
Φ
Universal Set
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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
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 # 10
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A
B
U
None of these
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Question # 11
The multiplicative inverse of x such that x = 0 is
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-x
Does not exist
1/x
±1
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Question # 12
A statement which is either true or false is called
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Induction
Deduction
Propositicon
Logic
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Question # 13
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 # 14
Write down the power set of {9, 11}
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Question # 15
If f:A→B is an injective function and second elements of no two of its ordered pairs are equal, then f is called
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1-1 and onto
Bijective
1-1 and into
None of these
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Question # 16
0 is a symbol of
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singleton set
Empty set
Equivalent set
Infinite set
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Question # 17
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An empty set
Universal set
A singleton set
None of these
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Question # 18
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None of these
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Question # 19
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 # 20
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 # 21
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A finite set
An infinite set
An empty set
None of these
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Question # 22
The graph of a quadratic function is
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Circle
Straight line
Parabola
Triangle
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Question # 23
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A
B
A'
None of these
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Question # 24
Power set of X i.e P(X)..........under the binary operation of union U
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Forms a group
Does not form a group
Has no identity element
Infinite set although X is infinite
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Question # 25
The set {1, -1, i, -i}
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Form a group w.r.t addition
Form a group w.r.t multiplication
Does not form a group w.r.t multiplication
Not closed under multiplication
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Question # 26
For any set B,B∪B' is
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Is set B
Set B'
Universal set
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Question # 27
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An empty set
Universal set
A singleton set
None of these
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Question # 28
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 # 29
Multiplicative inverse of "1" is
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0
-1
1
{0, 1}
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Question # 30
Two sets A and B are said to be disjoint if
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