Question # 1

Let A,B, and C be any sets such that A∪B = A∪C and A∩B = A∩C then

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A≠ C

B = C

A = B

A≠ B

If p and q are two statements then their biconditional 'p if q' is denoted by

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

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Addition

Multiplication

Division

Subtraction

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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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3

1

2

4

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a-b=ab

ab=a

a+b=ab

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

A - B = ______

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The set { {a, b} } is

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Infinite set

Singleton set

Two points set

Empty set

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

The logic in which every statement is regarded as true or false and no other possibility is called

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Aristotelian login

Inductive logic

Non-Aristotelian logic

None of these

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Conclusion

Implication

Antecedent

Hypothesis

The total number of subsets that can be formed out of the set {a, b, c} is

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1

4

8

12

P∉ A means

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Pis subset of A

Pis an element of A

P does not belongs to A

A does not element of P

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

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Addition

Multiplication

Subtraction

Division

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

Which conjunction is not true ?

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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

A set having only one element is called

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An empty set

Universal set

A singleton set

A power set

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

A function in which the second elements of the order pairs are distinct is called

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Onto function

One-one function

Identity function

Inverse function

The set {Z\ {0} } is group w.r.t

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Addition

Multiplication

Division

Subtraction

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

B

U

None of these

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 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

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A

A'

U

U'

The set of integer is

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Finite group

A group w.r.t addition

A group w.r.t multiplication

Not a group

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