Question # 1

The set (Q, .)

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Forms a group

Does not form a group

Contains no additive identity

Contains no additive inverse

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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 identity elements with respect to subtraction is

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0

1

-1

Does not exist

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Evert element of A is in B

Every element of B is in A

Every element of A is in B'

Every element of A is in A

If #n = (n-5)²+ 5, then find #3 x #4.

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54

12

4

9

The negation of a number

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a relation

a function

unary operation

binary operation

Multiplicative inverse of "1" is

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+- 1

0

1

None of these

The identity element of a set X with respect to intersection in P(x) is

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X

Does not exist

∅

None of these

If S = {3,6,9,12.......}, then

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S = Four multiples of 3

S = Set of even numbers

S = Set of prime numbers

S = All multiples of 3

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

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Not a group

A group

No conclusion drawn

Non commutative group

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

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

The multiplicative inverse of x such that x = 0 is

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-x

does not exist

1/x

0

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A

A'

U

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

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Addition

Multiplication

Subtraction

Division

If A = {2m/m³= 8 , m€ Z} then A =

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{1,8,27}

{4}

(2,4,6}

{2,16,54}

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

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

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Addition

Division

Subtraction

None of these

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

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{x / x∈ A∧ x∈ U}

{x / x∉ A∧ x ∈ U}

{x / x∈ A and x ∉ U}

A-U

If A and B are two sets then intersection of A and B is denoted by

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

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Addition

Multiplication

Division

Subtraction

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Singleton set

A set with two points

Empty set

None of these

If a = {2m/2m < 9 ,m€ p} , the (n A) =

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{2,3,4,5,6,7,8}

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

{ 4, 6}

{2,3,5,7}

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4

3

2

1

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A finite set

An infinite set

An empty set

None of these

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A

A'

U

None of these

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

If B⊆ A, then complement of B in A is = -----------------------

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A-B

A∩B

B-A

A∪B

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

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