Relational Algebra & Calculus MCQs

Topic-wise practice questions for Database Management Systems. Test your knowledge, check solutions on demand, and pace your preparation.

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Q1medium
A marketing team wants a list of all Customers who have never placed an Order. Which relational algebra operator is best suited for this task?
Q2medium
A query in Relational Calculus is said to be "Unsafe" if it can potentially return an infinite number of tuples. Which of the following is an example of an unsafe expression?
Q3hard
Relation R(A, B) has 3 tuples: {(1, 2), (3, 4), (5, 6)}. Relation S(B, C) has 2 tuples: {(2, 7), (4, 8)}. What is the result of the Natural Join (R ⨝ S)?
Q4medium
For the Set Difference (R - S) operation to be valid, which of the following conditions must be met?
Q5medium
Relation R has degree 3 (A, B, C) and 5 tuples. Relation S has degree 2 (D, E) and 4 tuples. What is the Degree and Cardinality of the Cartesian Product R × S?
Q6easy
What is the primary difference between Tuple Relational Calculus (TRC) and Domain Relational Calculus (DRC)?
Q7medium
Which of the following best describes the fundamental difference between Relational Algebra and Relational Calculus?
Q8medium
Trace the logic of the following Tuple Relational Calculus expression: { t | t ∈ Employees ∧ t.salary > 5000 } calculus-engine

// Relation: Employees
// id | name  | salary
// 1  | John  | 4000
// 2  | Sarah | 6000
// 3  | Mike  | 5500
Q9medium
(Notation-Tracing) A developer writes the following algebraic expression to retrieve data from a Products table: πname, price ( σcategory = 'Electronics' (Products) ) In plain English, what does this expression do?
Q10hard
Why is the Rename (ρ) operator considered essential in Relational Algebra, particularly during a Self-Join scenario?