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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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A
B
U
None of these
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Question # 2
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a constant function
linear function
quadratic funtion
none of these
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Question # 3
G = {e, a, b, c} is an Abelian group with e as identity element The order of the other elements are
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2,2,2
3,3,3
2,2,4
2,3,4
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Question # 4
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none of these
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Question # 5
The sets {1, 2, 4} and {4, 6, 8, 10} are
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Equal sets
Equivalent sets
Disjoint sets
Over lapping sets
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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
{1, 2, 3, 4,.....} is set of ______
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Natural numbers
Whole numbers
Integers
Rational numbers
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Question # 8
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Question # 9
Z is a group under
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Subtraction
Multiplication
Addition
None of these
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Question # 10
G = {e, a, b, c} is an Abelian group with e as identity element. The order of the other elements are
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2, 2, 2
3, 3, 3
2, 2, 4
2, 3, 4
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Question # 11
The complement of set A relative to universal set U is the set
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{x / x∈ A∧ x∈ U}
{x / x∉ A∧ x ∈ U}
{x / x∈ A and x ∉ U}
A-U
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Question # 12
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Question # 13
The set { {a,b} } is
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Infinite set
Singleton set
Two points set
Empty set
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Question # 14
Let A,B, and C be any sets such that A∪B = A∪C and A∩B = A∩C then
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A≠ C
B = C
A = B
A≠ B
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Question # 15
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 # 16
Additive inverse of -a -b is
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a
-a + b
a - b
a + b
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Question # 17
The set {1, -1, 1, -1}, form a group under
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Addition
Multiplication
Subtraction
None
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Question # 18
To each element of a group there corresponds ............. inverse element
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Two
One
No
Three
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Question # 19
If 0 = {1,3,5.......}, then n (0) =
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99
odd integers
Even numbers
Infinite
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Question # 20
A conjunction of two statement p and q is true only if
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p is true
q is true
Both p and q are true
both p and q are false
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Question # 21
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n(A)
n(B)
0
1
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Question # 22
The set {-1, 1} is
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Group under the multiplication
Group under addition
Does not form a group
Contains no identity element
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Question # 23
{0} is a
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Empty set
Singleton set
Zero set
Null Set
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Question # 24
Identity w.r.t intersection in a power set of any set is
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∅
Set itself
Singleton set
{0}
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Question # 25
The identity elements with respect to subtraction is
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0
1
-1
Does not exist
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Question # 26
The number of proper subset of A ={a.b.c.d} is
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3
6
8
15
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Question # 27
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 # 28
The graph of a quadratic function is
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Circle
Straight line
Parabola
Triangle
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Question # 29
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Question # 30
The set X is
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Proper Subset of X
Not A subset of X
Improper Subset of X
None of these
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