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Mathematics ECAT Pre Engineering Chapter 2 Set, Functions and Groups Online Test MCQs With Answers
Question # 1
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 # 2
The set { {a, b} } is
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Infinite set
Singleton set
Two points set
Empty set
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Question # 3
A monoid (G, *) is said to be group if
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have identity element
is commutative
have inverse of each element
None of these
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Question # 4
Write down the power set of {9, 11}
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Question # 5
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 # 6
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 # 7
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None of these
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Question # 8
If C={p/p < 18, p is a prime number}, then C =
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{2,3,4,.........17}
{2,4,6,8................16}
{1,3,5,7,9,11,13,15,17}
{3,6,9,12,15}
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Question # 9
Choose an answer
A
A'
U
None of these
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Question # 10
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4
3
2
1
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Question # 11
A function whose range is just one elements is called
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One-one function
Constant function
Onto function
Identity function
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Question # 12
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 # 13
The set Q
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Forms a group under addition
Does not form a group
Contains no additive indentity
Contains no additive inverse
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Question # 14
If 0 = {1,3,5.......}, then n (0) =
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99
odd integers
Even numbers
Infinite
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Question # 15
The negation of given number is a
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Binary operation
Unary operation
Relation
None of these
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Question # 16
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 # 17
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Question # 18
Additive inverse of -a -b is
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a
-a + b
a - b
a + b
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Question # 19
The set {1, -1, 1, -1}, form a group under
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Addition
Multiplication
Subtraction
None
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Question # 20
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A onto B
both a & c
A into B
none of these
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Question # 21
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 # 22
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 # 23
A = B if
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A is equivalent to B
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Question # 24
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1
12
5
29
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Question # 25
For any set B,B∪B' is
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Is set B
Set B'
Universal set
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Question # 26
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 # 27
The set {-1,1} is closed under the binary operation of
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Addition
Multiplication
Subtraction
Division
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Question # 28
Which conjunction is not true ?
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Question # 29
What is the number of elements of the power set of {0, 1}
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1
2
3
4
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Question # 30
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