Question # 1

If p and q are two statements then their conjunction is denoted by

Choose an answer

Z is the set of integers (Z.*) is a group with a * b = a +b +1, a,b ∈ G.then inverse of a is

Choose an answer

-a

a +1

-1-a

None of these

Choose an answer

none of these

The set {x +iy / x, y ∈ Q} forms a group under the binary operation of

Choose an answer

Addition

Multiplication

Division

Both addition and multiplication

Under multiplication, solution set of is

Choose an answer

Groupoid

Abelian group

Semi group

All of these

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

Choose an answer

Function on B

Range

Domain

A into B

Choose an answer

A finite set

An infinite set

An empty set

None of these

Which of the following is the definition of singleton

Choose an answer

The objects in a set

A set having no element

A set having no subset

None of these

Choose an answer

The set {-1,1} is

Choose an answer

Group under the multiplication

Group under addition

Does not form a group

Contains no identity element

Choose an answer

Every set is an improper subset of

Choose an answer

Empty set

Equivalent set

Itself

Singleton set

Choose an answer

Addition

Subtraction

Multiplication

None of these

Choose an answer

Natural numbers

Whole numbers

Integers

Rational numbers

Choose an answer

Power set of X i.e P(X) _______ under the binary operation of union U

Choose an answer

Forms a group

Does not form a group

Has no identity element

Infinite set although X is infinite

Given X,Y are any two sets such that number of elements in set X = 28, number of elements in set Y = 28, and number of elements in set X∪Y = 54, then number of elements in set X ∩ Y =

Choose an answer

4

3

2

1

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

Choose an answer

Improper subset of B

Super set of B

Proper subset of B

None of these

The number of subset of {0} is

Choose an answer

1

2

3

None

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

Choose an answer

2,2,2

3,3,3

2,2,4

2,3,4

Power set of X i.e P(X)..........under the binary operation of union U

Choose an answer

Forms a group

Does not form a group

Has no identity element

Infinite set although X is infinite

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

Choose an answer

Addition

Multiplication

Subtraction

Division

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

Choose an answer

10

32

16

5

The multiplicative inverse of x such that x = 0 is

Choose an answer

-x

does not exist

1/x

0

The set of real numbers is a subset of

Choose an answer

The set of natural numbers

The set of rational numbers

The set of integers

The set of complex numbers

For any set B,B∪B' is

Choose an answer

Is set B

Set B'

Universal set

The set (Z, +) forms a group

Choose an answer

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

The set of months in a year beginning with S.

Choose an answer

{September, October, November}

Singleton set

Null set

Empty set

The set of all positive even integers is

Choose an answer

Not a group

A group w.r.t. subtraction

A group w.r.t. division

A group w.r.t. multiplication

Choose an answer

The set {1,-1,i,-i}

Choose an answer

Form a group w.r.t addition

Form a group w.r.t multiplication

Does not form a group w.r.t multiplication

Not closed under multiplication

More Classes

Other Links

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

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer