🔥 Math 2025 – Top 25 Most Expected Questions (Final List) (DAVV BCA 1st Year)

🔹 Logic, Boolean & Sets💥

1. Define proposition, tautology, contradiction with truth table.✅💯

2. Construct truth table for:✅
   (p → q) ∧ (q → r) → (p → r)

3. Boolean Laws & Simplification using K-Map (2-variable)✅

4. Difference: Disjunctive vs Conjunctive normal form✅💯

5. Define Set. Solve Venn diagram (3 sets + operation)✅

🔹 Relations & Functions💥

6. Define relation. Give examples of reflexive, symmetric, transitive✅💯

7. Define equivalence relation with example✅

8. Hasse diagram – draw for given set✅💯

9. Define partial order relation with example✅

10. One-One, Onto, Inverse functions✅

🔹 Lattices💥

11. Define Lattice. Bounded, complemented, distributive lattice✅

12. Draw Hasse diagram for lattice✅

13. Define maximal & minimal elements✅

14. Total Ordered Set vs Partial Ordered Set✅💯

🔹 Graph Theory💥

15. Define Graph. Types – Euler, Hamiltonian, Subgraph✅

16. Euler graph condition + example✅

17. Difference: Connected vs Disconnected Graph✅💯

18. Adjacency Matrix & Incidence Matrix✅

19. Dijkstra’s Algorithm for shortest path (diagram type)✅💯

🔹 Tree & Matrix💥

20. Define Tree. Explain binary tree with properties✅

21. Spanning Tree, Rooted Tree definition✅

22. Define Cut-set, Fundamental Circuit✅💯

23. Planar Graph + Kuratowski’s theorem✅

24. Rank & Nullity of matrix✅💯

🔹 Recurrence & Numeric Functions💥

25. Solve:

• Recurrence relation✅💯

• Generating function✅💯

• Complementary + Particular solution✅

💥 2. 10 Sure-Shot Questions (Do These at Any Cost)

✅ These are most repeated in papers + series:

1. Construct Truth Table for (p ∧ q) → r✅

2. Boolean Algebra Laws (Simplify any 2 expr.)✅💯

3. K-Map simplification✅💯

4. Equivalence relation proof (Reflexive, Symmetric, Transitive)✅💯

5. Draw Hasse diagram from partially ordered set✅

6. Difference between Lattice & Boolean algebra✅💯

7. Define Euler Graph + Degree Condition✅

8. Incidence Matrix vs Adjacency Matrix✅

9. Recurrence relation (Linear with constant coeff.)✅

10. Generating Function: Solve with 1 example✅💯

💥 Theory (20 Questions)

These need explanation, differences, diagrams (if asked):✅

1. Define Tautology, Contradiction

2. Laws of Boolean Algebra

3. Disjunctive vs Conjunctive Normal Form

4. Reflexive, Symmetric, Transitive Relations

5. Hasse Diagram Concept

6. Maximal/Minimal Elements in Lattice

7. What is Euler Graph

8. Connected vs Disconnected Graph

9. Types of Trees

10. Spanning Tree

11. Rooted Tree

12. Definitions: Recurrence Relation

13. Generating Function concept

14. Partition of Set

15. Planar Graph

16. Rank & Nullity

17. Subgraph

18. Lattice properties

19. Equivalence Class

20. Function Types (1-1, onto, inverse)

💥 Practical (15 Questions)

You’ll need to solve, draw, or prove:✅

1. Construct Truth Table

2. Simplify Boolean Expression

3. K-Map (2-variable, 3-variable)

4. Draw Venn Diagram

5. Hasse Diagram (Draw with POSET)

6. Adjacency Matrix

7. Incidence Matrix

8. Draw Graph & Identify Euler/Hamiltonian

9. Dijkstra’s Algorithm (shortest path)

10. Draw Binary Tree

11. Derive Recurrence relation (solve)

12. Use Generating Function

13. Draw Matrix Representation of Graph

14. Solve Equivalence Class from Relation

15. Compose Relations or Sets

🔔 Strategy Suggestion:

• Revise 10 Theory + 10 Practical very well = 🔥💯 chance

• Practice 2 K-Maps, 2 Graphs, 2 Relations (reflexive/equivalence), and 1 Recurrence = 50% of paper is secure.