Question # 1

The set of complex numbers forms a group under the binary operation of

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Addition

Multiplication

Division

Subtraction

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None of these

The set {1,-1, i, -i} form a group under

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Addition

Multiplication

Subtraction

None

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square root function

identity function

linear function

quadratic function

P∉ A means

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Pis subset of A

Pis an element of A

P does not belongs to A

A does not element of P

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

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Addition

Multiplication

Division

Subtraction

If A and B are two sets then any subset R of B x A is called

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relation on A

relation on B

relation from A to B

relation from B to A

A disjunction of two statement p and q is true

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p is false

q is false

Both p and q are false

One of p and q is true

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A

A'

U

None of these

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

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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{1, 2, 3} is _____

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an infinite set

A finite set

A singleton set

Universal set

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)

The set Q

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Forms a group under addition

Does not form a group

Contains no additive indentity

Contains no additive inverse

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The set R is ______ w.r.t subtraction

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Not a group

A group

No conclusion drawn

Non commutative group

The set of whole numbers is subset of

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The set on integers

The set of natural numbers

{1, 3, 5, 7, ....}

The set of prime numbers

The set (Q, .)

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Forms a group

Does not form a group

Contains no additive identity

Contains no additive inverse

If D = {a} , the P(D) =

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{a}

∅

{∅,{a}}

{∅,a}

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A

A'

U

U'

A set having only one element is called

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An empty set

Universal set

A singleton set

A power set

The many subset can be formed from the set {a,b,c,d}

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8

4

12

16

Additive inverse of -a -b is

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a

-a + b

a - b

a + b

A function in which the second elements of the order pairs are distinct is called

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Onto function

One-one function

Identity function

Inverse function

If n(A) = n then n(P(A)) is

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2n

n²

n/2

2ⁿ

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A finite set

An infinite set

An empty set

None of these

To each element of a group there corresponds ............. inverse element

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Two

One

No

Three

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An empty set

Universal set

A singleton set

None of these

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

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1

-1

0

Does not exist

Multiplicative inverse of "1" is

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0

-1

1

{0, 1}

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