Question # 1

Which of the following is the definition of singleton

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The objects in a set

A set having no element

A set having no subset

None of these

The set of natural is a semi group w.r.t

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Addition

Division

Subtraction

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

A = B if

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A is equivalent to B

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A is proper subset of B

A is an improper subset of B

A is equivalent to B

B is subset of A

{1, 2, 3} is _____

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an infinite set

A finite set

A singleton set

Universal set

If A ⊆ B then A ∪ B is

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A

B

A'

A ∩B

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

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a constant function

linear function

quadratic funtion

none of these

The complement of set A relative to universal set U is the set

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The set of real numbers is a subset of

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The set of natural numbers

The set of rational numbers

The set of integers

The set of complex numbers

Z is a group under

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Subtraction

Multiplication

Addition

None of these

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

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 multiplicative inverse of x such that x = 0 is

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-x

does not exist

1/x

0

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

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A

B

U

None of these

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

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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

The set of first elements of the ordered pairs in a relation is called its

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domain

range

relation

function

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ECAT Mathematics Chapter 23 MCQs With Answers

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