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Equivalence Relations and Partial Ordering

This assessment focuses on equivalence relations and partial ordering concepts. It evaluates understanding of properties like reflexivity, symmetry, and transitivity. Learners will explore equivalence classes and the...

Questions: 30 | Attempts: 10 | Last updated: Sep 28, 2026

Sample Question 1
A relation on a set A is called an equivalence relation if it is:

Reflexive, symmetric, and transitive

Reflexive, antisymmetric, and transitive

Symmetric and transitive only

Reflexive and symmetric only

Sample Question 2
A relation R on a set S is called a partial ordering if it is:

Reflexive, symmetric, and transitive

Reflexive, antisymmetric, and transitive

Symmetric, antisymmetric, and transitive

Reflexive and transitive only

Sample Question 3
Given the equivalence relation R = {(1,1),(1,2),(1,3),(2,1),(2,2),(2,3),(3,1),(3,2),(3,3),(4,4),(5,5)} on {1,2,3,4,5}, what is [4]?

{1, 2, 3}

{4, 5}

{4}

{1, 4}

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