Question # 1

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)

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If B⊆ A, then complement of B in A is = -----------------------

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A-B

A∩B

B-A

A∪B

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

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If A is a set then any subset R of A x A is called

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relation on A

relation on B

relation from A to B

relation from B to A

If A∩B=B, then n(A∩B) is equal to

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n(a)

n(a)+n(c)

n(c)

None of these

(A∪B)∪C= --------------------------

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A∩B(B∪C)

A∪(B∪C)

A∪(B∩C)

None of these

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A

B

A'B'

B'A

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If S = {3,6,9,12.......}, then

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S = Four multiples of 3

S = Set of even numbers

S = Set of prime numbers

S = All multiples of 3

If A=B, then

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A⊂B and B⊂A

A⊆B and B⊈A

A⊆B and B⊆A

None of these

Which conjunction is not true ?

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For any set B, BUB' is

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Is set B

Set B'

Universal set

None of these

Every subset of a finite set is

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Disjoint

Null

Finite

Infinite

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

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0

1

2

3

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

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

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

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Two

One

No

Three

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 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

Which of the following has the same value as i113

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i

-1

-i

1

If P is a proposition then its negative is denoted by

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

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Addition

Multiplication

Subtraction

Division

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Power set of X i.e P(X) _______ under the binary operation of union U

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Forms a group

Does not form a group

Has no identity element

Infinite set although X is infinite

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A

B

A'

None of these

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A

A'

U

U'

To each element of a group there corresponds ______ inverse element

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Two

One

No

Three

Identity w.r.t intersection in a power set of any set is

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∅

Set itself

Singleton set

{0}

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