Sets & Relation (PART 1)

Question 1

It is based upon continuous number line or the real numbers. It is characterized by the fact that between any two numbers, there are almost always an infinite set of numbers.

A. Set Theory
B. Continuous Mathematics
C. Discrete Mathematics
D. Set

Answer 1

B. Continuous Mathematics

Question 2

Forms the basis of several other fields of study like counting theory, relations, graph theory and finite state machines.

A. Set Theory
B. Continuous Mathematics
C. Discrete Mathematics
D. Set

Answer 2

A. Set Theory

Question 3

It involves distinct values; i.e. between any two points, there are a countable number of points.

A. Set Theory
B. Continuous Mathematics
C. Discrete Mathematics
D. Set

Answer 3

C. Discrete Mathematics

Question 4

an unordered collection of different elements.

Answer 4

Set

Question 5

The set is represented by listing all the elements comprising it.

Answer 5

Roster or Tabular Form

Question 6

The set is defined by specifying a property that elements of the set have in common.

Answer 6

Set Builder Notation

Question 7

What representation of set is this?

Set of vowels in English alphabet, A={a,e,i,o,u}

A. Roster or Tabular Form
B. Set Builder Notation

Answer 7

A. Roster or Tabular Form

Question 8

What representation of set are these?

1. Set of odd numbers less than 10 :
   B={x:1≤x<10 and (x%2)≠0}
2. A={x:x is a vowel in English alphabet}

A. Roster or Tabular Form
B. Set Builder Notation

Answer 8

B. Set Builder Notation

Question 9

In sets N represents?

Answer 9

set of all natural numbers

Question 10

In sets Z represents?

Answer 10

set of all integers

Question 11

In sets W represents?

Answer 11

set of all whole numbers

Question 12

In sets R represents?

Answer 12

set of all real numbers

Question 12

In sets Q represents?

Answer 12

set of all rational numbers

Question 13

number of elements of the set.

A. Cardinal number
B. Finite set
C. Infinite set
D. Subset

Answer 13

A. Cardinal number

Question 14

A set which contains infinite number of elements

A. Cardinal number
B. Finite set
C. Infinite set
D. Subset

Answer 14

C. Infinite set

Question 15

A set which contains a definite number of elements
A. Cardinal number
B. Finite set
C. Infinite set
D. Subset

Answer 15

B. Finite set

Question 16

What types of set is this if every element of X is an element of set Y.
A. Cardinal number
B. Finite set
C. Infinite set
D. Subset

Answer 16

D. Subset

Question 17

Can be defined as “subset of but not equal to”

Answer 17

Proper Subset

Question 18

Identify if it is a PROPER SUBSET or NOT A PROPER SUBSET

Let, X={1,2,3,4,5,6}
and Y={1,2}

Answer 18

PROPER SUBSET

Question 19

Identify if it is a PROPER SUBSET or NOT A PROPER SUBSET

Let, X={1, 6, 10}
and Y={1, 6, 10}

Answer 19

NOT A PROPER SUBSET

Question 20

A collection of all elements in a particular context or application. All the sets in that context or application are essentially SUBSET of this __________.

Answer 20

Universal Set

Question 21

Universal set is represented as ___?

Answer 21

U

Question 22

A set that contains no element and is denoted ∅

A. Empty Set
B. Singleton Set
C. Equal Set
D. Equivalent Set

Answer 22

A. Empty Set

Question 23

A set that contains only one element

A. Empty Set
B. Singleton Set
C. Equal Set
D. Equivalent Set

Answer 23

B. Singleton Set

Question 24

If two sets contain the same elements
A. Empty Set
B. Singleton Set
C. Equal Set
D. Equivalent Set

Answer 24

C. Equal Set

Question 25

A set with the same cardinality

A. Empty Set
B. Singleton Set
C. Equal Set
D. Equivalent Set

Answer 25

D. Equivalent Set

Question 26

Two sets that have at least one common element

Answer 26

Overlapping

Question 27

A set that don’t have even one common element

Answer 27

Disjoint