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Online Tests
ECAT Pre General Science Mathematics Chapter 2 Set, Functions and Groups Online Test MCQs With Answers
Question # 1
A conditional is regarded as false only when the antecedent is true and consequent is
Choose an answer
True
False
Known
Unknown
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Question # 2
The set of rational numbers is subset of
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The set of natural numbers
The set of real numbers
The set of integers
The set of whole numbers
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Question # 3
If z1 = 2 + 6i and z2 = 3 + 7i then which expression defines the product of z1 and z2
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36 +(-32)i
-36+32i
6+(-11)i
0, +(-12)i
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Question # 4
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 # 5
The set which has no proper subset is
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{0}
{}
{∅}
None of these
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Question # 6
If A = {x/x is a positive integer and 4≤x<23}, then A=
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{1,2,3,4,5,6,7}
{4,5,6...........22}
{1,2,3,.........23}
{1,2,3,4,5}
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Question # 7
If A ⊆ B then A ∪ B is
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A
B
A'
A ∩B
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Question # 8
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Question # 9
Onto function is also called
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Binjective function
Injective function
Surjechive function
None of these
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Question # 10
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Question # 11
The set {-1,1} is closed under the binary operation of
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Addition
Multiplication
Subtraction
Division
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Question # 12
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 # 13
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None of these
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Question # 14
The function whose range consists of just one element is called
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One-One Function
Identity Function
Onto Function
Constant Function
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Question # 15
{0} is a
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Empty set
Singleton set
Zero set
Null Set
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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 n(A) = n then n(P(A)) is
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2n
n
2
n/2
2
n
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Question # 18
The set of natural is a semi group w.r.t
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Addition
Division
Subtraction
None of these
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Question # 19
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 # 20
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Question # 21
The total number of subsets that can be formed out of the set {a, b, c} is
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1
4
8
12
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Question # 22
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 # 23
Φ set is the _______ of all sets
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Subset
Union
Universal
Intersection
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Question # 24
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 # 25
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a-b=ab
ab=a
a+b=ab
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Question # 26
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A
A'
U
U'
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Question # 27
The number of subsets of a set having three elements is
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4
6
8
none of these
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Question # 28
The graph of a quadratic function is
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Circle
Ellipse
Parabola
Hexagon
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Question # 29
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 # 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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Question # 31
A function whose range is just one element is called
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One-one function
Constant function
Onto function
Identity function
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