Question # 1

{x|x∈R∧x≠x} is a

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Infinite set

Null set

Finite set

None of these

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

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Addition

none of these

Division

Subtraction

The multiplicative inverse of x such that x = 0 is

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-x

does not exist

1/x

0

If f:A→B is an injective function and second elements of no two of its ordered pairs are equal, then f is called

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1-1 and onto

Bijective

1-1 and into

None of these

If C={p/p < 18, p is a prime number}, then C =

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{2,3,4,.........17}

{2,4,6,8................16}

{1,3,5,7,9,11,13,15,17}

{3,6,9,12,15}

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A finite set

An infinite set

An empty set

None of these

The set (Q, .)

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Forms a group

Does not form a group

Contains no additive identity

Contains no additive inverse

If B-A≠φ , then n(B-A) is equal to

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n(a)+n(c)

n(c)-n(a)

n(a)-n(c)

None of these

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

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1

-1

0

Does not exist

Under multiplication, solution set of is

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Groupoid

Abelian group

Semi group

All of these

The negation of a number

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a relation

a function

unary operation

binary operation

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

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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

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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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

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

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Addition

Multiplication

Division

Subtraction

Additive inverse of -a -b is

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a

-a + b

a - b

a + b

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ECAT Mathematics Chapter 23 MCQs With Answers

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