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ECAT Mathematics Chapter 2 Set Function and Groups Online Test MCQs With Answers
Question # 1
Choose an answer
none of these
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Question # 2
If T = {2,4,6,8,10,12}, then
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T = (First six natural numbers)
T = (First six odd numbers)
T = (First six real numbers)
T = ( First six even numbers)
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Question # 3
The set {x +iy / x, y ∈ Q} forms a group under the binary operation of
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Addition
Multiplication
Division
Both addition and multiplication
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Question # 4
Write down the power set of {9, 11}
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Question # 5
The complement of set A relative to universal set U is the set
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Question # 6
Which of the following has the same value as i113
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i
-1
-i
1
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Question # 7
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 # 8
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 # 9
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 # 10
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 # 11
In set builder notation the set {0, 1, 2, ............, 100} can be written as
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Question # 12
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 # 13
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Question # 14
The extraction of cube root of a given number is a
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Unary Operation
Binary Operation
Relation
None of these
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Question # 15
Choose an answer
A
B
A'B'
B'A
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Question # 16
The statement that a group can have more than one identity elements is
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True
False
Fallacious
Some times true
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Question # 17
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 # 18
The set of months in a year beginning with S.
Choose an answer
{September, October, November}
Singleton set
Null set
Empty set
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Question # 19
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 # 20
The set of integers is a subset of
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The set of natural numbers
The set of whole numbers
The set of prime numbers
The set of rational numbers
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Question # 21
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Question # 22
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Question # 23
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A onto B
both a & c
A into B
none of these
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Question # 24
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 # 25
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 # 26
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Question # 27
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A
A'
U
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Question # 28
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Question # 29
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 # 30
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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