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1

### GATE CSE 1998

Subjective
Consider the following database relations containing the attributes
Book–id
Subject–Category–of–book
Name–of–Author
Nationality–of–Author
With book–id as the primary key.
(a) What is the highest normal form satisfied by this relation?

(b) Suppose the attributes Book–title and Author–address are added to the relation, and the primary key is changed to {Name–of–Author, Book–title}, what will be the highest normal form satisfied by the relation?

(a) $$2NF$$
(b) $$3NF$$
2

### GATE CSE 1997

For a database relation $$R(a,b,c,d),$$ where the domains of $$a, b, c, d$$ include only atomic values, only the following functional dependencies and those that can be inferred from them hold:
$$a \to c\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,b \to d$$
This relation is
A
In $$1$$ $$NF$$ but not in $$2$$ $$NF$$
B
In $$2$$ $$NF$$ but not in $$3$$ $$NF$$
C
In $$3$$ $$NF$$
D
None of the above
3

### GATE CSE 1997

Let $$R (a, b, c)$$ and $$S(d, e, f)$$ be two relations in which $$d$$ is the foreign key of $$S$$ that refers to the primary key of $$R.$$ Consider the following four operations $$R$$ and $$S$$
(a) Insert into $$R$$ (b) Insert into $$S$$
(c) Delete from $$R$$ (d) Delete from $$S Which of the following statements is true about the referential integrity constraint above? A None of (a), (b), (c) or (d) can cause its violation B All of (a), (b), (c) and (d) can cause its violation C Both (a) and (d) can cause its violation D Both (b) and (c) can cause its violation 4 ### GATE CSE 1995 Subjective (a) Consider the relation scheme$$R(A, B, C)$$with the following functional dependencies:$$\eqalign{ & A,B \to C \cr & \,\,\,\,\,\,C \to A \cr} $$Show that the scheme$$R$$is the Third Normal Form$$(3NF)$$but not in Boyce-Code Normal Form$$(BCNF).$$(b) Determine the minimal keys of relation$$R.

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