Discrete Structures & Theory of Logic Unit 2 – Functions & Boolean Algebra: AKTU previous year questions
30 AKTU questions from Unit 2 (Functions & Boolean Algebra) asked in 2020–2026, tagged by marks, year and topic. In short: about 26 marks of every paper come from this unit; the most asked topic is Boolean Algebra (15 times); 11 questions came back in a later year. The latest ones are listed below; on the page you can filter them by 2-mark or long questions, topic and repeats.
Unit 2 previous year questions
- Use a Karnaugh map to find a minimal sum for E= y’t’ + y’z’t + x’y’zt + yzt’ (7 marks, 2026, Boolean Algebra)
- Show that the number of minimal Boolean function in n variables are 2’’. (7 marks, 2026, Boolean Algebra)
- Explain the basic concepts of Boolean algebra and state any four fundamental laws of Boolean algebra. (7 marks, 2026, Boolean Algebra)
- What is meant by a reflexive relation? State its basic property. (2 marks, 2026, Functions)
- Find the domain and range of the function f(x)=1-|x|. (2 marks, 2026, Functions)
- If P(x) represents "x is a prime number" and Q(x) represents "x is odd," write the following statements in predicate logic: (a) "There exists an even prime number." (b) "All prime numbers greater than 2 are odd." (2 marks, 2025, Boolean Algebra)
- Calculate the composite mapping gof if f: R→ R is given by f(x) = ex and g: R → R is given by g(x) = sin x. (2 marks, 2025, Functions)
- Solve the following Boolean function using K-map: F(A, B, C) = (1, 2, 5, 7) and D(0, 4, 6) using SOP. (7 marks, 2025, Boolean Algebra)
- Solve the following Boolean functions using K-map: (i) F(A, B, C, D) = ∑(m0, m1, m2, m4, m5, m6, m8, m9, m12, m13, m14 ) (ii) F(A, B, C, D) = ∑(0, 2, 5, 7, 8, 10, 13, 15) (7 marks, 2025, Boolean Algebra)
- Let f(x) = 3x + 5 and g(x) = x2 - 2x + 1. Evaluate f(3) and Classify f(x) and g(x) as one-to-one, onto, or neither. (7 marks, 2025, Functions)
- Investigate whether the function f(x) = x^2 -1 is injective or not for f: R->R. (2 marks, 2024, Functions)
- Express E(x, y, z) = xy+ y'z into its complete sum-of-products form. (2 marks, 2024, Boolean Algebra)
Most asked Unit 2 topics
- Boolean Algebra – asked 15 times
- Functions – asked 14 times
- Growth of Functions – asked 1 times
Unit 2 question pattern
- 2-mark questions: 11 asked in 2020–2026
- 7-mark questions: 9 asked in 2020–2026
- 10-mark questions: 10 asked in 2020–2026
- About 26 marks from Unit 2 in every paper
- 11 questions were asked again in a later year
Unit 2 questions year by year
- 2026: 5 Unit 2 questions asked (25 marks across that year's papers)
- 2025: 5 Unit 2 questions asked (25 marks across that year's papers)
- 2024: 5 Unit 2 questions asked (25 marks across that year's papers)
- 2023: 5 Unit 2 questions asked (34 marks across that year's papers)
- 2022: 4 Unit 2 questions asked (32 marks across that year's papers)
- 2021: 2 Unit 2 questions asked (12 marks across that year's papers)
- 2020: 4 Unit 2 questions asked (32 marks across that year's papers)