For the B-tree question, the maximum number of nodes created when inserting a key in a four-level B-tree is 5. In the database design statements, a, c, and d are correct, making the final answer 3.
For the B-tree question:
The maximum number of nodes created when inserting a new key in a B-tree is the height of the tree plus one. Since the tree has four levels including the root, the maximum number of newly created nodes is 5. Therefore, the correct answer is:
1. 5
For the database design statements:
1. a. True. A database design is in BCNF (Boyce-Codd Normal Form) if each member of the set of relation schemas that constitutes the design is in BCNF.
2. b. False. A BCNF schema cannot have transitive dependencies.
3. c. True. It is always possible to obtain a 3NF (Third Normal Form) design without sacrificing a lossless join.
4. d. False. Multivalued dependencies are typically addressed in 4NF, not present in BCNF.
Therefore, the correct answer is:
3. a, b, and d only
The complete question is:
A b-tree used as an index for a large database table has four levels including the root node. if a new key is inserted in this index, then maximum number of nodes that could be newly created in the process is
1. 5
2. 4
3. 3
4. 2
a. a database design is in bcnf if each member of the set of relation schemas that constitutes the design is in bcnf
b. a bcnf schema can have transitive dependency
c. it is always possible to obtain a 3nf design without sacrificing a lossless joind. there are multivalued dependencies in 4nf
which of the following statements are correct?
1. a, b and c only
2. b, c and d only
3. a, b and d only
4. a, c and d only