Question # 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

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

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Addition

none of these

Division

Subtraction

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

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

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0

1

2

3

If B ={x/x€ Z ^ - 3 < x < 6}, then n (B) =

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5

{-3,-2,-1,0,1,2,3,4,5,6}

8

9

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

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8

4

12

16

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

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Not a group

A group

No conclusion drawn

Non commutative group

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

{x|x∈R∧x≠x} is a

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Infinite set

Null set

Finite set

None of these

If A = {2m/m³= 8 , m€ Z} then A =

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{1,8,27}

{4}

(2,4,6}

{2,16,54}

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

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Relation in B

Range

Domain

Relation in A

Power set of difference set N-W is

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Empty set

Infinite set

Singleton set

{0,∅}

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)

{0} is a

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Empty set

Singleton set

Zero set

Null Set

Φset is the ______ of all sets?

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Subset

Union

Universal

Intersection

A set having only one element is called

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An empty set

Universal set

A singleton set

A power set

Which of the following sets is finite

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The set of natural numbers between 3 and 10

The set of rational numbers between 3 and 10

The set of real numbers between 0 and 1

The set of rational numbers between 0 and 1

If the intersection of two sets is non-empty, but either is a subset of other are called

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Disjoint sets

Over lapping

Equal sets

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

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