Discrete Structures Exam Prep
Shared by a Veda learner · Generated with Veda AI
What you'll study, topic by topic
Discrete Structures Exam Prep
This exam covers key concepts in discrete structures, including relations, equivalence relations, lattices, and Hasse diagrams. Understanding the properties and operations on sets, particularly in terms of relations and...
Sample questions with model answers
Every question in the paper gets a full exam-length answer in the app — organised by marks, the way a topper writes it.
Define a Lattice. Draw the Hasse diagram of (D₃₆, /) and Show that it is a lattice.
Show answer outline
A lattice is a partially ordered set where every two elements have a unique supremum and infimum; the Hasse diagram must show these relationships.
The full exam-length answer is in the app.
If A = {1, 2, 3}, B = {4, 5} and C = {1, 2, 3, 4, 5}. Find (i) A × B (ii) C × B (iii) B × B. Hence prove that: (C × B) - (A × B) = B × B.
Show answer outline
A × B = {(1,4), (1,5), (2,4), (2,5), (3,4), (3,5)}; C × B = {(1,4), (1,5), (2,4), (2,5), (3,4), (3,5), (4,4), (4,5), (5,4), (5,5)}; B × B = {(4,4), (4,5), (5,4), (5,5)}.
The full exam-length answer is in the app.
Identify whether the each of the following relation defined on the set A = {1, 2, 3} are reflexive relation, symmetric relation, anti-symmetric relation and transitive relation. R₁ = {(1, 1), (1, 2), (2, 1), (2, 2), (2, 3), (3, 3)} R₂ = Universal Relation.
Show answer outline
R₁ is reflexive, symmetric, and transitive; R₂ is reflexive, symmetric, anti-symmetric, and transitive.
The full exam-length answer is in the app.
Let R = {(1, 2), (2, 3), (3, 1)} and A = {1, 2, 3} find the reflexive, symmetric and transitive closure of R using composition of relation R.
Show answer outline
The reflexive closure adds (1,1), (2,2), (3,3); the symmetric closure adds (2,1), (3,2), (1,3); the transitive closure adds (1,3), (2,1), (3,2).
The full exam-length answer is in the app.
Study it properly — free, in the app
The full Veda Bites deck, complete notes, spaced-repetition flashcards, leveled MCQs, tests and games for this kit — plus Daily Facts and the Arena, every day.