Question # 1

G = {e, a, b, c} is an Abelian group with e as identity element. The order of the other elements are

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2, 2, 2

3, 3, 3

2, 2, 4

2, 3, 4

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

If 0 = {1,3,5.......}, then n (0) =

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99

odd integers

Even numbers

Infinite

The set {x|x∈N∧x-4=0} in tabular form is

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{-4}

{0}

{}

None of these

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

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

If p and q are two statements then their conjunction is denoted by

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If x = 1/x for x ∈ R then the value of x is

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±1

0

2

4

The negation of given number is a

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Binary operation

Unary operation

Relation

None of these

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The multiplicative inverse of x such that x = 0 is

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-x

Does not exist

1/x

±1

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}

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

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0

1

2

3

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

If B-A≠φ , then n(B-A) is equal to

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n(a)+n(c)

n(c)-n(a)

n(a)-n(c)

None of these

The number of subsets of B = {1,2,3,4,5}

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10

32

16

5

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

The set {-1,1} is

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Group under the multiplication

Group under addition

Does not form a group

Contains no identity element

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A statement which is either true or false is called

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Induction

Deduction

Propositicon

Logic

Every set is an improper subset of

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Empty set

Equivalent set

Itself

Singleton set

The set of even prime numbers is

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(2,4,6,8,10}

{2,4,6,8,10,12}

{1,3,5,7,9}

{2}

A = B iff

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All elements of A also the elements of B

A and B should be singleton

A and B have the same number of elements

If both have the same element

Which conjunction is not true ?

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A conjunction of two statement p and q is true only if

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p is true

q is true

Both p and q are true

both p and q are false

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The set { {a, b} } is

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Infinite set

Singleton set

Two points set

Empty set

A conditional is regarded as false only when the antecedent is true and consequent is

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True

False

Known

Unknown

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

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Addition

Multiplication

Division

Subtraction

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