Question # 1

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

The number of proper subset of A ={a.b.c.d} is

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3

6

8

15

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Natural numbers

Whole numbers

Integers

Rational numbers

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

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Not a group

A group

No conclusion drawn

Non commutative group

(A∩Bc)c= -------------------------

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Ac∪Bc

Ac∪B

Ac∩B

None of these

Z is a

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Infinite set

Finite set

Singleton set

Set of all integers

The set of complex numbers forms

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Commutative group w.r.t addition

Commutative group w.r.t multiplication

Commutative group w.r.t division

Non commutative group w.r.t addition

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 B ={x/x€ Z ^ - 3 < x < 6}, then n (B) =

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5

{-3,-2,-1,0,1,2,3,4,5,6}

8

9

A monoid (G, *) is said to be group if

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have identity element

is commutative

have inverse of each element

None of these

If A⊆ B, and B is a finite set, then

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n (a) < n(B)

n(B)<(A)

n(A)≤ n (B)

n(A)≥ n(B)

The function whose range consists of just one element is called

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One-One Function

Identity Function

Onto Function

Constant Function

The set (Z, +) forms a group

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Forms a group w.r.t addition

Forms a group w.r.t multiplication

Non commutative group w.r.t multiplication

Doesn't form a group

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None of these

A = B if

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A is equivalent to B

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

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Addition

Multiplication

Division

Subtraction

Z is a group under

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Subtraction

Multiplication

Addition

None of these

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None of these

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

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1

-1

+-1

0

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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Identity w.r.t intersection in a power set of any set is

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∅

Set itself

Singleton set

{0}

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A

A'

U

A A'

A∪(A∪B)= --------------------

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B

A

A∪B

None of these

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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none of these

G = {e, a, b, c} is an Abelian group with e as identity element. The order of the other elements are

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2, 2, 2

3, 3, 3

2, 2, 4

2, 3, 4

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

The set { {a,b} } is

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Infinite set

Singleton set

Two points set

Empty set

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

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ECAT Pre General Science Mathematics Chapter 2 Set, Functions and Groups Online Test MCQs With Answers

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