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ECAT Pre General Science Mathematics Chapter 2 Set, Functions and Groups Online Test MCQs With Answers
Question # 1
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 # 2
If a = {2m/2m < 9 ,m€ p} , the (n A) =
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{2,3,4,5,6,7,8}
{2,4,6,8............16}
{ 4, 6}
{2,3,5,7}
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Question # 3
Every set is an improper subset of
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Empty set
Equivalent set
Itself
Singleton set
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Question # 4
Write down the power set of {9, 11}
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Question # 5
Power set of difference set N-W is
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Empty set
Infinite set
Singleton set
{0,∅}
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Question # 6
The set of real numbers is a subset of
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The set of natural numbers
The set of rational numbers
The set of integers
The set of complex numbers
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Question # 7
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Question # 8
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 # 9
A = B if
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A is equivalent to B
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Question # 10
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square root function
identity function
linear function
quadratic function
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Question # 11
If #n = (n-5)
2
+ 5, then find #3 x #4.
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54
12
4
9
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Question # 12
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 # 13
The set {-1, 1} is closed under the binary operation of
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Addition
Multiplication
Subtraction
Division
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Question # 14
Multiplicative inverse of 0 is
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0
1
+-1
Does not exist
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Question # 15
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 # 16
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 # 17
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Question # 18
If A is a set then any subset R of A x A is called
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relation on A
relation on B
relation from A to B
relation from B to A
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Question # 19
The set {1,-1, i, -i} form a group under
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Addition
Multiplication
Subtraction
None
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Question # 20
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 # 21
If A⊆ B, and B is a finite set, then
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n (a) < n(B)
n(B)<(A)
n(A)≤ n (B)
n(A)≥ n(B)
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Question # 22
To each element of a group there corresponds ............. inverse element
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Two
One
No
Three
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Question # 23
To each element of a group there corresponds ______ inverse element
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Two
One
No
Three
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Question # 24
Which conjunction is not true ?
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Question # 25
(A∪B)∪C= --------------------------
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A∩B(B∪C)
A∪(B∪C)
A∪(B∩C)
None of these
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Question # 26
The set R is ______ w.r.t subtraction
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Not a group
A group
No conclusion drawn
Non commutative group
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Question # 27
The function f{(x, y) | y = ax
2
+ bx + c} is
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One-one function
Constant function
Onto function
Quadratic function
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Question # 28
The set which has no proper subset is
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{0}
{}
{∅}
None of these
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Question # 29
if A = (x/x€ Q˄ 0 < x < 1}, the A is
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Infinite set
Finite set
Set of rational numbers
Set of real numbers
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Question # 30
A - B = ______
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Question # 31
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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