The questions can come in any order, so make sure you are selecting right option for all questions.
1. For the relation
Apply(SSN,cName,date,major)
with functional dependency
SSN,cName → date,
what real-world constraint is captured by
SSN ↠ cName,date?
(c) A student must apply to the same set of majors at all colleges
2. Here above is an instance of a relation R(A,B,C)
Which of the following multivalued dependencies does this instance of R not satisfy?
(b) A->>B
3. Here is an instance of a relation R(A,B,C,D):
Which of the following multivalued dependencies does this instance of R satisfy?
(d) AB->>C
4. Consider a relation R(A,B,C) with multivalued dependency A ↠ B.
Suppose there at least 3 different values for A, and each value of A is associated with at least 4 different B values and at least 5 different C values. What is the minimum number of tuples in R?
(a) 60
5. Consider relation StudentInfo(sID, name, dorm, major) with functional dependency sID → name and multivalued dependency sID ↠ dorm. What schema would be produced by the 4NF decomposition algorithm?
(d) S1(sID,name), S2(sID,dorm), S3(sID,major)
6. Consider relation R(A,B,C,D,E) with multivalued dependencies:
A ↠ B, B ↠ D
Suppose R contains the tuples (0,1,2,3,4) and (0,5,6,7,8). Which of the following tuples must also be in R?
(c) (0,5,6,3,8)