This download link is referred from the post: JNTUH MCA 1st Sem Last 10 Years 2023-2013 Question Papers R20-R09 || Jawaharlal nehru technological university
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Code No: 811AA R13
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JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD
MCA I Semester Examinations, August - 2017
MATHEMATICAL FOUNDATIONS OF COMPUTER SCIENCE
Time: 3hrs Max.Marks:60
Note: This question paper contains two parts A and B.
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Part A is compulsory which carries 20 marks. Answer all questions in Part A.
Part B consists of 5 Units. Answer any one full question from each unit. Each question carries 8 marks and may have a, b, c as sub questions.
PART - A 5 x 4 Marks = 20
- a) What do you mean by tautological implication? Give an example. [4]
- b) Explain transitive closure property. [4]
- c) Write about binomial and multinomial theorems. [4]
- d) What are generating functions? Give an example. [4]
- e) Write about binary trees. [4]
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PART -B 5 x 8 Marks = 40
- a) Express P —( — P— Q) in terms of 1 only.
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b) Define Universe of Discourse? Symbolize the given statement with and without using the set of positive numbers as the Universe of Discourse. Statement: “Given any positive integer there is a greater positive integer.” [4+4]
OR - 3. Give an over view of theory of inference for predictive calculus. [8]
- S={1,2,3,4} and A= SxS. Define a relation R on A by (a,b)R (a',b") & atb=a"+b"
a) Show that R is an equivalence relation.--- Content provided by FirstRanker.com ---
b) Compute A/R. [4+4]
OR - a) Let (S,*) and (T,*’) be Semi Groups. Show that the function f: SXT — S defined by f(s,t)= s is a Homomorphism of the Semi Group SxT onto the Semi Group S?
b) Give an over view of lattice as an algebraic structures. [4+4] - a) Explain pigeon hole principles and its applications.
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b) Explain the principles of inclusion and exclusion. [4+4]
OR - 7. Determine the coefficients of x6y7 and x7y6in (2x+3y)13. [8]
- What are characteristic roots? Explain how characteristics roots can be used in solving recurrence relation using examples. [8]
OR - Write short notes on how each of the following can be used in solving recurrence relation.
a) Function of sequences
b) Coefficients of generating functions. [4+4] - Explain the following with examples:
a) Hamiltonian Graphs--- Content provided by FirstRanker.com ---
b) Planar graphs and multi —graphs. [4+4]
OR - Write Kruskal’s Algorithm and explain. Find the minimum cost spanning tree for the given graph? And calculate its minimum cost. [8]
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This download link is referred from the post: JNTUH MCA 1st Sem Last 10 Years 2023-2013 Question Papers R20-R09 || Jawaharlal nehru technological university