Question # 1

The set {-1, 1} is closed under the binary operation of

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Addition

Multiplication

Subtraction

Division

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Multiplicative inverse of "1" is

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+- 1

0

1

None of these

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An empty set

Universal set

A singleton set

None of these

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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

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none of these

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

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8

4

12

16

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

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

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Not a group

A group

No conclusion drawn

Non commutative group

If A = {2m/m³= 8 , m€ Z} then A =

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{1,8,27}

{4}

(2,4,6}

{2,16,54}

A = B if

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A is equivalent to B

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

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)

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

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{a}

∅

{∅,{a}}

{∅,a}

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Singleton set

A set with two points

Empty set

None of these

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

The set of complex numbers forms

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Commutative group w.r.t addition

Commutative group w.r.t multiplication

Commutative group w.r.t division

Non commutative group w.r.t addition

The function {f(x,y)|y = ax2 +bx +c} is

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One-one function

Constant function

Onto function

Quadratic function

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

The number of different ways of describing a set is

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One

Two

Three

Four

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

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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None of these

Multiplicative inverse of 0 is

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0

1

+-1

Does not exist

The identity element of a set X with respect to intersection in P(x) is

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X

Does not exist

∅

None of these

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The set (Q, .)

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Forms a group

Does not form a group

Contains no additive identity

Contains no additive inverse

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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