Question # 1

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

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2ⁿ

2²ⁿ

2 . n

n²

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

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)

Z is a group under

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Subtraction

Multiplication

Addition

None of these

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What is the number of elements of the power set of {0, 1}

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1

2

3

4

{1, 2, 3, 4,.....} is set of ______

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Natural numbers

Whole numbers

Integers

Rational numbers

A statement which is either true or false is called

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Induction

Deduction

Propositicon

Logic

For any two sets A and, A ⊆ B if

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x ∈ A ⇒ x ∈ B

x ∉ A ⇒ x ∉ B

x ∈ A ⇒ x ∉ B

None of these

The set (Q, .)

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Forms a group

Does not form a group

Contains no additive identity

Contains no additive inverse

The set {{a,b}} is

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Infinite set

Singleton set

Two points set

None

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A

A'

U

None of these

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

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If a 1-1 correspondence can be established b/w two sets A and B, then they are called

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Equal sets

Equivalent sets

Over lapping sets

None of these

(A∩Bc)c= -------------------------

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Ac∪Bc

Ac∪B

Ac∩B

None of these

The identity elements with respect to subtraction is

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0

1

-1

Does not exist

The set (Z, +) forms a group

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Forms a group w.r.t addition

Forms a group w.r.t multiplication

Non commutative group w.r.t multiplication

Doesn't form a group

(A∪B)∪C= --------------------------

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A∩B(B∪C)

A∪(B∪C)

A∪(B∩C)

None of these

The multiplicative inverse of -1 in the set {1-,1} is

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1

-1

±1

0

Does not exist

If A is a subset of B and B contains at least one element which is not an element of A, then A is said to be

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Improper subset of B

Super set of B

Proper subset of B

None of these

A∪(A∪B)= --------------------

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B

A

A∪B

None of these

The set which has no proper subset is

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{0}

{}

{∅}

None of these

The number of different ways of describing a set is

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One

Two

Three

Four

The set of natural is a semi group w.r.t

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Addition

Division

Subtraction

None of these

The number of proper subset of A ={a.b.c.d} is

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3

6

8

15

{0} is a

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Empty set

Singleton set

Zero set

Null Set

If P is a proposition then its negative is denoted by

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Addition

Multiplication

Division

Both addition and multiplication

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