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Mathematics ECAT Pre Engineering Chapter 2 Set, Functions and Groups Online Test MCQs With Answers
Question # 1
The logic in which every statement is regarded as true or false and no other possibility is called
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Aristotelian login
Inductive logic
Non-Aristotelian logic
None of these
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Question # 2
Additive inverse of -a -b is
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a
-a + b
a - b
a + b
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Question # 3
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 # 4
The set {Z\ {0} } is group w.r.t
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Addition
Multiplication
Division
Subtraction
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Question # 5
(A∩Bc)c= -------------------------
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Ac∪Bc
Ac∪B
Ac∩B
None of these
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Question # 6
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 # 7
The contra positive of p → q is
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q → p
~q→~q
~p→~q
None of these
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Question # 8
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1/x
-x
2x
0.5 x
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Question # 9
Z is a
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Infinite set
Finite set
Singleton set
Set of all integers
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Question # 10
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 # 11
The set which has no proper subset is
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{0}
{}
{∅}
None of these
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Question # 12
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 # 13
The multiplicative inverse of x such that x = 0 is
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-x
does not exist
1/x
0
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Question # 14
If A = {2m/m
3
= 8 , m€ Z} then A =
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{1,8,27}
{4}
(2,4,6}
{2,16,54}
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Question # 15
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 # 16
Let A and B be two sets. If every element of A is also an element of B then
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Question # 17
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 # 18
The multiplicative inverse of -1 in the set {1-, 1} is
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1
-1
+-1
0
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Question # 19
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 # 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
Write down the power set of {9, 11}
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Question # 22
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A
A'
U
A A'
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Question # 23
A function in which the second elements of the order pairs are distinct is called
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Onto function
One-one function
Identity function
Inverse function
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Question # 24
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Question # 25
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 # 26
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 # 27
The function {f(x,y)|y = ax2 +bx +c} is
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One-one function
Constant function
Onto function
Quadratic function
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Question # 28
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 # 29
If A∩B=B, then n(A∩B) is equal to
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n(a)
n(a)+n(c)
n(c)
None of these
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Question # 30
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 # 31
Every subset of a finite set is
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Disjoint
Null
Finite
Infinite
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