Question # 1

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

The set X is

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Proper Subset of X

Not A subset of X

Improper Subset of X

None of these

Given X,Y are any two sets such that number of elements in set X = 28, number of elements in set Y = 28, and number of elements in set X∪Y = 54, then number of elements in set X ∩ Y =

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4

3

2

1

Every set is an improper subset of

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Empty set

Equivalent set

Itself

Singleton set

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1/x

-x

2x

0.5 x

The set of months in a year beginning with S.

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{September, October, November}

Singleton set

Null set

Empty set

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

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One-one function

Constant function

Onto function

Quadratic function

To each element of a group there corresponds ______ inverse element

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Two

One

No

Three

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Biconditional

Implication

Antecedent

Hypothesis

If A and B are two sets then intersection of A and B is denoted by

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The set of the first elements of the orders pairs forming a relation is called its

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Relation in B

Range

Domain

Relation In A

The geometrical representation of a linear function is

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Circle

Parabola

Straight lie

None of these

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none of these

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A

B

A'

None of these

Which of the following has the same value as i113

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i

-1

-i

1

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

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

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A

A'

U

A A'

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

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Addition

Multiplication

Subtraction

None

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

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Addition

none of these

Division

Subtraction

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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

Which of the following is the definition of singleton

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The objects in a set

A set having no element

A set having no subset

None of these

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A

A'

U

None of these

If A = {x/x is a positive integer and 4≤x<23}, then A=

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{1,2,3,4,5,6,7}

{4,5,6...........22}

{1,2,3,.........23}

{1,2,3,4,5}

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

Which of the following is the subset of all sets

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Φ

{1,2,3}

{Φ}

{0}

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A

A'

U

U'

For any set B,B∪B' is

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Is set B

Set B'

Universal set

If A ⊆ B then A ∪ B is

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A

B

A'

A ∩B

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

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{a}

∅

{∅,{a}}

{∅,a}

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