Question # 1

Which symbolic notation represent unary operation ?

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-

∨

∧

⇔

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Addition

Subtraction

Multiplication

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

-2 -a

None of these

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

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0

1

2

3

Under multiplication, solution set of is

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Groupoid

Abelian group

Semi group

All of these

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

The identity element of a set X with respect to intersection in P(x) is

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X

Does not exist

∅

None of these

If E = { } , then P(E)

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∅

{ }

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

(∅)

The graph of a quadratic function is

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Circle

Straight line

Parabola

Triangle

The multiplicative inverse of x such that x = 0 is

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-x

does not exist

1/x

0

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The sets {1, 2, 4} and {4, 6, 8, 10} are

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Equal sets

Equivalent sets

Disjoint sets

Over lapping sets

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

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4

3

2

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 = B

B = C

A≠ C

A ≠ B

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

For any set B, BUB' is

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Is set B

Set B'

Universal set

None of these

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n(A)

n(B)

0

1

The set which has no proper subset is

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{0}

{}

{∅}

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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A = B iff

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All elements of A also the elements of B

A and B should be singleton

A and B have the same number of elements

If both have the same element

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

The set {x|x∈N∧x-4=0} in tabular form is

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{-4}

{0}

{}

None of these

The number of different ways of describing a set is

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One

Two

Three

Four

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

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Addition

Multiplication

Subtraction

None

Multiplicative inverse of "1" is

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+- 1

0

1

None of these

The set {1,-1,i,-i}

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Form a group w.r.t addition

Form a group w.r.t multiplication

Does not form a group w.r.t multiplication

Not closed under multiplication

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

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One-one function

Constant function

Onto function

Quadratic function

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