Question # 1

The multiplicative inverse of -1 in the set {1-, 1} is

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1

-1

0

Does not exist

Given X.Y are any two sets such that number of elements in X = 18, number of elements in set Y = 24,and number of elements in set X∪ Y =40,then number of elements in set x∩ Y =

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3

1

2

4

The graph of a quadratic function is

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Circle

Straight line

Parabola

Triangle

The set of natural numbers is a subset of

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{1, 2, 3, .... 100}

The set of whole numbers

{2, 4, 6, 8, .....}

None of these

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

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Not a group

A group

No conclusion drawn

Non commutative group

The negation of given number is a

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Binary operation

Unary operation

Relation

None of these

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A = C

A = B

B = C

None of these

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

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0

1

2

3

The statement that a group can have more than one identity elements is

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True

False

Fallacious

Some times true

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

The function whose range consists of just one element is called

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One-One Function

Identity Function

Onto Function

Constant Function

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-x

Infinite set

{-4, 4}

None of these

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To each element of a group there corresponds ______ inverse element

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Two

One

No

Three

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

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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

A monoid (G, *) is said to be group if

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have identity element

is commutative

have inverse of each element

None of these

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

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±1

0

2

4

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

Every subset of a finite set is

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Disjoint

Null

Finite

Infinite

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ECAT Mathematics Chapter 23 MCQs With Answers

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