Discrete Mathematics VIVA Questions
1. Question 1. What Is Discrete Mathematics?
Answer :
Discrete Mathematics is a branch of mathematics involving discrete elements that
uses algebra and arithmetic. It is increasingly being applied in the practical felds of
mathematics and computer science. It is a very good tool for improving reasoning
and problem-solving capabilities.
2. Question 2. What Are The Categories Of Mathematics?
Answer :
Mathematics can be broadly classifed into two categories −
Continuous Mathematics − 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 infnite set of numbers. For example, a function in continuous
mathematics can be plotted in a smooth curve without breaks.
Discrete Mathematics − It involves distinct values; i.e. between any two points, there
are a countable number of points. For example, if we have a fnite set of objects, the
function can be defned as a list of ordered pairs having these objects, and can be
presented as a complete list of those pairs.
3. Question 3. What Is Sets In Discrete Mathematics?
Answer :
A set is an unordered collection of different elements. A set can be written explicitly
by listing its elements using set bracket. If the order of the elements is changed or
any element of a set is repeated, it does not make any changes in the set.
Some Example of Sets
o A set of all positive integers
o A set of all the planets in the solar system
o A set of all the states in India
o A set of all the lowercase letters of the alphabet
4. Question 4. In How Many Ways Represent A Set?
Answer :
Sets can be represented in two ways −
Roster or Tabular Form: The set is represented by listing all the elements comprising
it. The elements are enclosed within braces and separated by commas.
Example 1 − Set of vowels in English alphabet, A={a,e,i,o,u}A={a,e,i,o,u}
Example 2 − Set of odd numbers less than 10, B={1,3,5,7,9}
Set Builder Notation: The set is defned by specifying a property that elements of the
set have in common. The set is described as A={x:p(x)}A={x:p(x)}
Example 1 − The set {a,e,i,o,u}{a,e,i,o,u} is written as- A={x:x is a vowel in English
alphabet}A={x:x is a vowel in English alphabet}
Example 2 − The set {1,3,5,7,9}{1,3,5,7,9} is written as -B={x:1≤x<10 and (x%2)≠0}
5. Question 5. Explain Some Important Sets?
Answer :
1. Question 1. What Is Discrete Mathematics?
Answer :
Discrete Mathematics is a branch of mathematics involving discrete elements that
uses algebra and arithmetic. It is increasingly being applied in the practical felds of
mathematics and computer science. It is a very good tool for improving reasoning
and problem-solving capabilities.
2. Question 2. What Are The Categories Of Mathematics?
Answer :
Mathematics can be broadly classifed into two categories −
Continuous Mathematics − 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 infnite set of numbers. For example, a function in continuous
mathematics can be plotted in a smooth curve without breaks.
Discrete Mathematics − It involves distinct values; i.e. between any two points, there
are a countable number of points. For example, if we have a fnite set of objects, the
function can be defned as a list of ordered pairs having these objects, and can be
presented as a complete list of those pairs.
3. Question 3. What Is Sets In Discrete Mathematics?
Answer :
A set is an unordered collection of different elements. A set can be written explicitly
by listing its elements using set bracket. If the order of the elements is changed or
any element of a set is repeated, it does not make any changes in the set.
Some Example of Sets
o A set of all positive integers
o A set of all the planets in the solar system
o A set of all the states in India
o A set of all the lowercase letters of the alphabet
4. Question 4. In How Many Ways Represent A Set?
Answer :
Sets can be represented in two ways −
Roster or Tabular Form: The set is represented by listing all the elements comprising
it. The elements are enclosed within braces and separated by commas.
Example 1 − Set of vowels in English alphabet, A={a,e,i,o,u}A={a,e,i,o,u}
Example 2 − Set of odd numbers less than 10, B={1,3,5,7,9}
Set Builder Notation: The set is defned by specifying a property that elements of the
set have in common. The set is described as A={x:p(x)}A={x:p(x)}
Example 1 − The set {a,e,i,o,u}{a,e,i,o,u} is written as- A={x:x is a vowel in English
alphabet}A={x:x is a vowel in English alphabet}
Example 2 − The set {1,3,5,7,9}{1,3,5,7,9} is written as -B={x:1≤x<10 and (x%2)≠0}
5. Question 5. Explain Some Important Sets?
Answer :
