Question # 1

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A

B

U

None of these

Φset is the ______ of all sets?

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Subset

Union

Universal

Intersection

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Natural numbers

Whole numbers

Integers

Rational numbers

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Addition

Multiplication

Division

Both addition and multiplication

If A ⊆ B then A ∪ B is

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A

B

A'

A ∩B

{x : xε Z and x < 1} is

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Singleton set

A set with two points

Empty set

None of these

The number of subsets of B = {1,2,3,4,5}

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10

32

16

5

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The set which has no proper subset is

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{0}

{}

{∅}

None of these

(A ∩ B)c =

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A∩ B

(A ∪ B)c

Ac∪Bc

Φ

The negation of given number is a

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Binary operation

Unary operation

Relation

None of these

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

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A = C

A = B

B = C

None of these

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None of these

Which of the following is the subset of all sets?

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1

12

5

29

For any two sets A and, A ⊆ B if

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x ∈ A ⇒ x ∈ B

x ∉ A ⇒ x ∉ B

x ∈ A ⇒ x ∉ B

None of these

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

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±1

0

2

4

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

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Addition

none of these

Division

Subtraction

Z is a

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Infinite set

Finite set

Singleton set

Set of all integers

If A and B are two sets then any subset R of A x B is called

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relation on A

relation on B

relation from A to B

relation from B to A

In a country, 55% of the male population has houses in cities while 30% have houses both in cities and in village. Find the percentage of the population that has house only in villages.

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45

30

25

50

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

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Addition

Multiplication

Subtraction

None

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

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True

False

Fallacious

Some times true

(A∪B)∪C= --------------------------

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A∩B(B∪C)

A∪(B∪C)

A∪(B∩C)

None of these

If n(A) = n then n(P(A)) is

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2n

n²

n/2

2ⁿ

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

The total number of subsets that can be formed out of the set {a, b, c} is

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1

4

8

12

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A

A'

U

A A'

Which of the following statement is true?

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A set is a collection of non-empty object

A set is a collection of only numbers

a set is any collection of things

a set is well-defined collection of objects

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

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