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INTRO. TO DATABASE MGMT. SYST.

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Which of the following is true about BCNF decomposition?

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Consider a relation R(P, Q, R, S, T, U) with the following functional dependencies:  

1. P → QR  

2. Q → S  

3. R → TU  

Which of the following functional dependencies must also hold? 

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Which of the following relations is in BCNF?

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Given the following SQL query:

SELECT student_id  

FROM Enrollments  

EXCEPT  

SELECT student_id  

FROM Exams;

Which of the following Relational Algebra expressions correctly represents this query?

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A decomposition is lossless if:

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Consider a relation R(P, Q, R, S, T) with the following functional dependencies:  

1. PQ → R  

2. R → S  

3. S → T  

4. T → P  

The candidate key is PQ.  

Which functional dependency (or dependencies) violate BCNF?  

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Consider a relation R(A, B, C, D) with the functional dependencies:

  1. A → B
  2. B → C
  3. C → D

What is the highest normal form satisfied by R?

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Given the following SQL query:

empAge(empNo​,age)

SELECT DISTINCT E1.empNo

FROM empAge E1

JOIN empAge E2

ON E1.age > E2.age;

Which of the following Relational Algebra expressions correctly represents this query?

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Consider a relation R(M, N, O, P, Q, R) with the following functional dependencies:  

1. MN → OP  

2. O → Q  

3. P → R  

R is decomposed into R1(M, N, O, P) and R2(O, Q, P, R).  

Is this decomposition lossless?

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Given the following SQL query:

studinfo(studid, name, sex)

enroll(studId, courseId)

SELECT DISTINCT e.courseId

FROM enroll e

WHERE e.courseId NOT IN (

    SELECT DISTINCT e1.courseId

    FROM enroll e1

    JOIN studInfo s ON e1.studId = s.studId

    WHERE s.sex = 'female'

);

Which of the following Relational Algebra expressions correctly represents this query?

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