Question # 1

What is the number of elements of the power set of { }

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0

1

2

3

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

Φ set is the _______ of all sets

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Subset

Union

Universal

Intersection

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

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 = B

B = C

A≠ C

A ≠ B

The set R is ........w.r.t subtraction

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Not a group

A group

No conclusion drawn

Non commutative group

The graph of a linear function is

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a circle

triangle

a straight line

none of these

Z is the set of integers (Z.*) is a group with a * b = a +b +1, a,b ∈ G.then inverse of a is

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-a

a +1

-1-a

None of these

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A

B

A'

None of these

Which of the following is the subset of all sets

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Φ

{1,2,3}

{Φ}

{0}

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Natural numbers

Whole numbers

Integers

Rational numbers

The set {Z\{0}} is group w.r.t

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Addition

Multiplication

Division

Subtraction

If B⊆ A, then complement of B in A is = -----------------------

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A-B

A∩B

B-A

A∪B

Under multiplication, solution set of is

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Groupoid

Abelian group

Semi group

All of these

If P is a proposition then its negative is denoted by

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A

A'

U

A A'

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-x

Infinite set

{-4, 4}

None of these

The set { {a, b} } is

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Infinite set

Singleton set

Two points set

Empty set

The complement of set A relative to universal set U is the set

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If the intersection of two sets is non-empty, but either is a subset of other are called

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Disjoint sets

Over lapping

Equal sets

None of these

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The set {{a,b}} is

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Infinite set

Singleton set

Two points set

None

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A

B

A'B'

B'A

The set of natural numbers is a subset of

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{1, 2, 3, .... 100}

The set of whole numbers

{2, 4, 6, 8, .....}

None of these

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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If a set S contains "n" elements then P (S) has ...... number of elements

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2ⁿ

2²ⁿ

2 . n

n²

A conditional "if p then q" is denoted by

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Which of the following sets in infinite

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The set of students of your class

The set of all schools in Pakistan

The set of natural numbers between 3 and 10

The set of rational numbers between 3 and 10

If A∩B=B, then n(A∩B) is equal to

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n(a)

n(a)+n(c)

n(c)

None of these

The set { {a,b} } is

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Infinite set

Singleton set

Two points set

Empty set

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Mathematics ECAT Pre Engineering Chapter 2 Set, Functions and Groups Online Test MCQs With Answers

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