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DISCRETE MATHEMATICAL STRUCTURES || BCS405A || Model Question Paper-1 with solutions (EXPLAINED)|| 2022 scheme || Video course with study materials

Model Paper-1 explained (Last Moment Exam Preparation Course )

Get ready for your VTU 4th semester exams quickly and effectively with our Last Moment Exam Preparation Course. This course is designed to help you do your best by focusing on the most important parts of your syllabus.

Course Highlights for DISCRETE MATHEMATICAL STRUCTURES (BCS405A):

Model Paper with Solutions : Get a model paper for DISCRETE MATHEMATICAL STRUCTURES with complete solutions, similar to your actual exams. Many of the questions on your exam may be like the ones in this model paper.
Downloadable Study Materials: Instantly access high-quality, downloadable study materials. These resources give you clear, focused information to make your study time more efficient.
Focused Content: This course is perfect for last-minute preparation, helping you cover all the important topics and concepts quickly for DISCRETE MATHEMATICAL STRUCTURES subject.
Certificate: You will also get a certificate on course completion.

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Course Content

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Module-1 of Model Paper-1 (Explained with solutions)

Introduction

01:11
1a] Show that the compound proposition ——— for primitive statements p, q, r is logically equivalence.

05:38
1b] Establish the validity of the following argument using the Rules of Inference: {p ∧ (p → q) ∧ (s ∨ r) ∧ (r →∼ q)} ⟶ (s ∨ t)

05:20
1c] For the universe of all integers, let p(x), q(x), r(x), s(x) and t(x) denote the following open statements: p(x): x>0, q(x): x is even, r(x): x is a perfect square, s(x): x is divisible by 3, t(x): x is divisible by 7. Write the following statements in symbolic form: i) At least one integer is even. ii) There exists a positive integer that is even. iii) If x is even, then x is not divisible by 3. iv) No even integer is divisible by 7. v) There exists even integer divisible by 3.

04:24
2a] Define a tautology. Prove that, for any propositions p, q, r the compound propositions, {(p→q)∧(q→r)}→{(p→r)} is tautology.

05:40
2b] Prove the following using laws of logic: p→(q→r)⇔(p∧q)→r.

02:58
2c] Give i) direct proof ii) indirect proof iii) proof by contradiction for the following statement: “if n is an odd integer then n+9 is an even integer”.

06:20

Module-2 of Model Paper-1 (Explained with solutions)

Module-3 of Model Paper-1 (Explained with solutions)

Module-4 of Model Paper-1 (Explained with solutions)

Module-5 of Model Paper-1 (Explained with solutions)

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DISCRETE MATHEMATICAL STRUCTURES || BCS405A || Model Question Paper-1 with solutions (EXPLAINED)|| 2022 scheme || Video course with study materials

About Course

DISCRETE MATHEMATICAL STRUCTURES || BCS405A || Model Question Paper-1 with solutions (EXPLAINED)|| 2022 scheme || Video course with study materials

Model Paper-1 explained (Last Moment Exam Preparation Course )

Course Highlights for DISCRETE MATHEMATICAL STRUCTURES (BCS405A):

What Will You Learn?

Course Content

How to watch video course and download study material from enrolled courses?

How to watch video courses?

How to download Study Materials (PDF) from the enrolled courses?

Module-1 of Model Paper-1 (Explained with solutions)

Introduction

1a] Show that the compound proposition ——— for primitive statements p, q, r is logically equivalence.

1b] Establish the validity of the following argument using the Rules of Inference: {p ∧ (p → q) ∧ (s ∨ r) ∧ (r →∼ q)} ⟶ (s ∨ t)

2a] Define a tautology. Prove that, for any propositions p, q, r the compound propositions, {(p→q)∧(q→r)}→{(p→r)} is tautology.

2b] Prove the following using laws of logic: p→(q→r)⇔(p∧q)→r.

2c] Give i) direct proof ii) indirect proof iii) proof by contradiction for the following statement: “if n is an odd integer then n+9 is an even integer”.

Module-2 of Model Paper-1 (Explained with solutions)

Module-3 of Model Paper-1 (Explained with solutions)

6a] If f:A→B, g:B→C, h:C→D are three functions, then Prove that h∘(g∘f)=(h∘g)∘f. 6b] Show that if n+1 numbers are chosen from 1 to 2n then at least one pair add to 2n+1. 6c] Draw the Hasse diagram representing the positive divisors of 72.

Module-4 of Model Paper-1 (Explained with solutions)

Module-5 of Model Paper-1 (Explained with solutions)

9a] If H, K are subgroups of a group G, prove that H ∩ K is also a subgroup of G. Is H ∪ K a subgroup of G. 9b] Define Klein 4 group. Verify A = {1, 3, 5, 7} is a klein 4 group. 9c] State and prove Lagrange’s Theorem.

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