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

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An empty set

Universal set

A singleton set

None of these

The negation of given number is a

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Binary operation

Unary operation

Relation

None of these

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

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Two

One

No

Three

The set (Q, .)

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Forms a group

Does not form a group

Contains no additive identity

Contains no additive inverse

If E = { } , then P(E)

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∅

{ }

{(2),(4),(6)....}

(∅)

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

In set builder notation the set {0, 1, 2, ............, 100} can be written as

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(A∩Bc)c= -------------------------

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Ac∪Bc

Ac∪B

Ac∩B

None of these

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

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8

4

12

16

if A = (x/x€ Q˄ 0 < x < 1}, the A is

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Infinite set

Finite set

Set of rational numbers

Set of real numbers

Decimal part of irrational number is

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Terminating

Repeating only

Neither repeating nor terminating

Repeating and terminating

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

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An empty set

Universal set

A singleton set

None of these

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n(A)

n(B)

0

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

-2 -a

None of these

If P = {x/x = p/q where p,q∈ Z and q≠ 0}, then P is the set of

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Irrational numbers

Even numbers

Rational numbers

Whole numbers

If P is a proposition then its negative is denoted by

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A onto B

both a & c

A into B

none of these

Empty set is

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Not the member of real numbers

Infinite set

Finite set

Not subset of every set

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

If z1 = 2 + 6i and z2 = 3 + 7i then which expression defines the product of z1 and z2

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36 +(-32)i

-36+32i

6+(-11)i

0, +(-12)i

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

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±1

0

2

4

A = B if

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A is equivalent to B

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A finite set

An infinite set

An empty set

None of these

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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none of these

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

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relation on A

relation on B

relation from A to B

relation from B to A

0 is a symbol of

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singleton set

Empty set

Equivalent set

Infinite set

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 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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