Question # 1

For any set B, BUB' is

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Is set B

Set B'

Universal set

None of these

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Biconditional

Implication

Antecedent

Hypothesis

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

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Function on B

Range

Domain

A into B

The set {-1, 1} is

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Group under the multiplication

Group under addition

Does not form a group

Contains no identity element

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

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Not a group

A group

No conclusion drawn

Non commutative group

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Let A and B be two sets. If every element of A is also an element of B then

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Which conjunction is not true ?

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A∪(A∪B)= --------------------

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B

A

A∪B

None of these

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If A = {2m/m³= 8 , m€ Z} then A =

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{1,8,27}

{4}

(2,4,6}

{2,16,54}

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-x

Infinite set

{-4, 4}

None of these

A conjunction of two statement p and q is true only if

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p is true

q is true

Both p and q are true

both p and q are false

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

If A∩B=B, then n(A∩B) is equal to

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n(a)

n(a)+n(c)

n(c)

None of these

A conditional is regarded as false only when the antecedent is true and consequent is

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True

False

Known

Unknown

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

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Addition

Multiplication

Subtraction

Division

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a constant function

linear function

quadratic funtion

none of these

Empty set is

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Not the member of real numbers

Infinite set

Finite set

Not subset of every set

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

If P = {x/x = p/q where p,q∈ Z and q≠ 0}, then P is the set of

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Irrational numbers

Even numbers

Rational numbers

Whole numbers

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

if A = (x/x€ Q˄ 0 < x < 1}, the A is

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Infinite set

Finite set

Set of rational numbers

Set of real numbers

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

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True

False

Ambiguous

Some times true

Multiplicative inverse of "1" is

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0

-1

1

{0, 1}

Two sets A and B are said to be disjoint if

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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

{x|x∈R∧x≠x} is a

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Infinite set

Null set

Finite set

None of these

If A is a subset of B and B contains at least one element which is not an element of A, then A is said to be

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Improper subset of B

Super set of B

Proper subset of B

None of these

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A

B

U

None of these

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ECAT Mathematics Chapter 2 Set Function and Groups Online Test MCQs With Answers

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