IGNOU MCS 13 SOLVED ASSIGNMENT

Ques 1.

What is Set? Explain use of Sets in problem solving. (3 Marks) [cite: 6, 10]

Ques 2.

 What is a proper subset? Write the number of proper subsets of the Set {2, 3, 4, 5, 6, 7, 8, 9} (2 Marks) [cite: 7, 8, 11]

Ques 3.

Make the truth table for the following. (3 Marks) [cite: 9, 12]
i)  [cite: 14]
ii)  [cite: 15]
iii)  [cite: 16]

Ques 4.

 [cite: 18]

Ques 5.

 What is Set? Explain use of Sets in problem solving.

Ques 6.

What is a proper subset ? Write the number of proper subsets of the Set 

{2, 3, 4, 5, 6, 7, 8, 9}

Ques 7.

Make the truth table for the following.

Here is the transcription of the text and mathematical formulas from the image:
i) 

ii) 

iii) 

Ques 8.

Give geometric representation for the following. 

i) 

ii) 

Ques 9.

Draw Venn diagram to represent the following. 

i) 

ii) 

iii) 

Ques 10.

Write down a suitable mathematical statement that the following symbolic properties can represent.
i) 

ii) 

Ques 11.

Show whether  is rational or irrational. 

Ques 12.

 Explain proof by contradiction with the help of an example. 

Ques 13.

 Explain use of the inclusion-exclusion principle with an example.

Ques 14.

Construct logic circuites for the following Boolean expressions:

i) (x+yz) + (yz)' + (z'y)

ii) ( x'y) (xz') (y'z) + xyz

Ques 15.

 What is a tautology? If P and Q are statements, show whether the statement

 is a tautology or not.

Ques 16.

Explain the symmetric difference of sets with the help of real-life examples. 

Ques 17.

How many words can be formed using the letters of “EXCEPTIONAL”, using each letter at most
once? 
i) If each letter must be used,

ii) If some or all the letters may be omitted.

Ques 18.

 What is a relation? Explain with an example. What are the different types of relations? Explain with an
example for each. 

Ques 19.

 How many different professional committees of 8 people can be formed, each containing at least 4 Managers, at least 2 Public Servants and 2 IT Professionals from a list of 8 Managers, 6 Public Servants and 8 IT Professionals? 

Ques 20.

A and B are mutually exclusive events such that P(A) = 1/3 and P(B) = 1/4 .

Find . What is the probability of , and why? 

Ques 21.

What is Pascal’s triangle? Explain. 

Ques 22.

 Explain how to find the inverse of a function with the help of an example. 

Ques 23.

 At least three empty boxes.

Ques 24.

 No empty box. 

Ques 25.

Three Sets A, B and C are: A = {1,7, 8, 9, 13, 15, 17}, B = { 1,2, 3, 4, 5, 6, 8, 9, 10 } and C {1, 2, 3, 5, 7, 9, 10, 11, 13}.

Ques 26.

 Explain circular permutation with an example. 

Ques 27.

Compare predicate and proposition logic. 

Ques 28.

 What is inductive logic? How is it used in problem-solving? Explain with an example.

Ques 29.

What is a function? Explain different types of functions with examples. 

Ques 30.

Write the following statements in symbolic form: 

Ques 31.

Mr. Ravi is thin but healthy.

Ques 32.

Either do not eat unhealthy food or be ready to visit the doctor.

Ques 33.

Find the inverse of the following functions

Ques 34.

 What is a Boolean function? Explain with an example.

Ques 35.

Show for an integer greater than zero 

Ques 36.

 If it does not rain, then you will go to market.

Ques 37.

If you are not honest, you are harmful to society.

Ques 38.

What is Set? Explain use of Sets in problem solving. (3 Marks) [cite: 6, 10]

Ques 39.

 What is a proper subset? Write the number of proper subsets of the Set {2, 3, 4, 5, 6, 7, 8, 9} (2 Marks) [cite: 7, 8, 11]

Ques 40.

Make the truth table for the following. (3 Marks) [cite: 9, 12]
i)  [cite: 14]
ii)  [cite: 15]
iii)  [cite: 16]

Ques 41.

 [cite: 18]

Ques 42.

 What is Set? Explain use of Sets in problem solving.

Ques 43.

What is a proper subset ? Write the number of proper subsets of the Set 

{2, 3, 4, 5, 6, 7, 8, 9}

Ques 44.

Make the truth table for the following.

Here is the transcription of the text and mathematical formulas from the image:
i) 

ii) 

iii) 

Ques 45.

Give geometric representation for the following. 

i) 

ii) 

Ques 46.

Draw Venn diagram to represent the following. 

i) 

ii) 

iii) 

Ques 47.

Write down a suitable mathematical statement that the following symbolic properties can represent.
i) 

ii) 

Ques 48.

Show whether  is rational or irrational. 

Ques 49.

 Explain proof by contradiction with the help of an example. 

Ques 50.

 Explain use of the inclusion-exclusion principle with an example.

Ques 51.

Construct logic circuites for the following Boolean expressions:

i) (x+yz) + (yz)' + (z'y)

ii) ( x'y) (xz') (y'z) + xyz

Ques 52.

 What is a tautology? If P and Q are statements, show whether the statement

 is a tautology or not.

Ques 53.

Explain the symmetric difference of sets with the help of real-life examples. 

Ques 54.

How many words can be formed using the letters of “EXCEPTIONAL”, using each letter at most
once? 
i) If each letter must be used,

ii) If some or all the letters may be omitted.

Ques 55.

 What is a relation? Explain with an example. What are the different types of relations? Explain with an
example for each. 

Ques 56.

 How many different professional committees of 8 people can be formed, each containing at least 4 Managers, at least 2 Public Servants and 2 IT Professionals from a list of 8 Managers, 6 Public Servants and 8 IT Professionals? 

Ques 57.

A and B are mutually exclusive events such that P(A) = 1/3 and P(B) = 1/4 .

Find . What is the probability of , and why? 

Ques 58.

What is Pascal’s triangle? Explain. 

Ques 59.

 Explain how to find the inverse of a function with the help of an example. 

Ques 60.

 At least three empty boxes.

Ques 61.

 No empty box. 

Ques 62.

Three Sets A, B and C are: A = {1,7, 8, 9, 13, 15, 17}, B = { 1,2, 3, 4, 5, 6, 8, 9, 10 } and C {1, 2, 3, 5, 7, 9, 10, 11, 13}.

Ques 63.

 Explain circular permutation with an example. 

Ques 64.

Compare predicate and proposition logic. 

Ques 65.

 What is inductive logic? How is it used in problem-solving? Explain with an example.

Ques 66.

What is a function? Explain different types of functions with examples. 

Ques 67.

Write the following statements in symbolic form: 

Ques 68.

Mr. Ravi is thin but healthy.

Ques 69.

Either do not eat unhealthy food or be ready to visit the doctor.

Ques 70.

Find the inverse of the following functions

Ques 71.

 What is a Boolean function? Explain with an example.

Ques 72.

Show for an integer greater than zero 

Ques 73.

 If it does not rain, then you will go to market.

Ques 74.

If you are not honest, you are harmful to society.

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