Functional Dependencies and Normalization · Database Management System · GATE CSE
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GATE CSE 2024 Set 1
Which of the following statements about a relation $R$ in first normal form (1NF) is/are TRUE?
GATE CSE 2022
In a relational data model, which one of the following statements is TRUE?
GATE CSE 2022
Consider a relation R(A, B, C, D, E) with the following three functional dependencies.
AB $$\to$$ C ; BC $$\to$$ D ; C $$\to$$ E;
The number of superk...
GATE CSE 2021 Set 2
Consider the following statements S1 and S2 about the relational data model:
S1: A relation scheme can have at most one foreign key.
S2: A foreign k...
GATE CSE 2016 Set 1
A database of research articles in a journal uses the following schema.
(VOLUME, NUMBER, STARTPAGE, ENDPAGE, TITLE, YEAR, PRICE)
The primary key is (V...
GATE CSE 2015 Set 3
Consider the relation $$X\left( {P,Q,R,S,T,U} \right)$$ with the following set of functional dependencies
$$\eqalign{
& F = \left\{ \, \right....
GATE CSE 2014 Set 3
A prime attribute of a relation scheme $$R$$ is an attribute that appears
GATE CSE 2014 Set 2
The maximum number of superkeys for the relation schema $$R(E, F, G, H)$$ with $$E$$ as key is ______.
GATE CSE 2014 Set 1
Consider the relation schema $$R = \left( {E,\,F,\,G,\,H,\,I,\,J,\,K,L,\,M,\,N} \right)$$ and the set of functional dependencies $$\left\{ {\left\{ {E...
GATE CSE 2012
Which of the following is TRUE?
GATE CSE 2005
A table has fields, $$F1, F2, F3, F4, F5,$$ with the following functional dependencies:
$$F1 \to F3.\,F2 \to F4.\,\,\,\left( {F1\,.\,F2} \right) \to ...
GATE CSE 2005
Which one of the following statements about normal forms is FALSE?
GATE CSE 2002
Relation $$R$$ with an associated set of functional dependencies, $$F,$$ is decomposed into $$BCNF.$$ The redundancy (arising out of functional depend...
GATE CSE 2001
Consider a schema $$R(A,B,C,D)$$ and functional dependencies $$A \to B\,\,$$ and $$C \to D\,\,$$. Then the decomposition of $$R$$ into $${R_1}\left( {...
GATE CSE 1999
Let $$R=(A,B,C,D,E,F)$$ be a relation scheme with the following dependencies: $$C \to F,\,E \to A,\,EC \to D,\,A \to B.$$ Which of the following is a ...
GATE CSE 1998
Which normal form is considered adequate for normal relational database design?
GATE CSE 1994
State True or False with reason. There is always a decomposition into Boyce-codd normal form $$(BCNF)$$ that is lossless and dependency preserving.
Marks 2
GATE CSE 2024 Set 2
A functional dependency $F: X \to Y$ is termed as a useful functional dependency if and only if it satisfies all the following three conditions:$X$ is...
GATE CSE 2024 Set 1
The symbol → indicates functional dependency in the context of a relational database. Which of the following options is/are TRUE?
GATE CSE 2021 Set 2
Suppose the following functional dependencies hold on a relation U with attributes P, Q, R, S, and T :
P → QR
RS → T
Which of the followi...
GATE CSE 2021 Set 1
Consider the relation R(P, Q, S, T, X, Y, Z, W) with the following functional dependencies.
PQ → X; P → YX; Q → Y; Y → ZW
Consid...
GATE CSE 2020
Consider a relational table R that is in 3NF, but not in BCNF. Which one of the following statements is TRUE?
GATE CSE 2019
Let the set of functional dependencies F = {QR → S, R → P, S → Q} hold on a relation schema X = (PQRS). X is not in BCNF. Suppose X is decomposed into...
GATE CSE 2015 Set 1
Consider an Entity-Relationship (ER) model in which entity sets E1 and E2 are connected by an m : n relationship R12. E1 and E3 are connected by a 1 :...
GATE CSE 2014 Set 1
Given the following two statements:
$$S1:$$ Every table with two single-valued attributes is in $$1NF, 2NF, 3NF$$ and $$BCNF.$$
$$S2:$$ $$AB \to C,\,\...
GATE CSE 2013
Relation $$R$$ has eight attribution $$ABCDEFGH.$$ Fields of $$R$$ contain only atomic values.
$$F = \left\{ {CH \to G,\,\,A \to BC,\,B \to CFH,\,\,E ...
GATE CSE 2013
Relation $$R$$ has eight attribution $$ABCDEFGH.$$ Fields of $$R$$ contain only atomic values.
$$F = \left\{ {CH \to G,\,\,A \to BC,\,B \to CFH,\,\,E ...
GATE CSE 2008
Let $$R\left( {A,\,B,\,C,\,D,E,P,G} \right)$$ be a relational schema in which the following functional dependencies are known to hold: $$AB \to CD,\,...
GATE CSE 2008
Consider the following relational schemes for a library database. Book ( Title, Author, Catalog_ no, Publisher, Year, Pr ice )
Collection ( Title, Aut...
GATE CSE 2008
Let $$R\left( {A,B,C,D} \right)$$ be a relational schema with the following functional dependencies:
$$A \to B,\,\,B \to C,\,\,C \to D$$ and $$D \to ...
GATE CSE 2007
Which one of the following statements if FALSE?
GATE CSE 2006
Consider the relation enrolled (student, course) in which (student, course ) is the primary key, and the relation Paid (student, amount) where student...
GATE CSE 2006
The following functional dependencies are given :
$$\eqalign{
& AB \to CD,\,AF \to D,\,\,DE \to F, \cr
& C \to G.\,\,\,\,\,\,\,\,\,\,F \...
GATE CSE 2005
In a schema with attributes $$A, B, C, D,$$ and $$E,$$ following set of functional dependencies are given
$$\eqalign{
& \,\,\,A \to B \cr
&...
GATE CSE 2005
Consider a relation scheme $$R = \left( {A,\,B,\,C,\,D,\,E,\,H} \right)$$ on which the following functional dependencies hold: $$\left\{ {A \to B,\,\,...
GATE CSE 2004
The relation scheme student Performance (Name, CourseNo, RollNo, Grade) has the following functional dependencies:
Name, courseNo $$\,\, \to \,\,$$ gr...
GATE CSE 2004
A relation Empdt $$1$$ is defined with attributes empcode (unique), name, street, city, state and pincode. For any pincode, there is only one city and...
GATE CSE 2003
Consider the following functional dependencies in a database.
$$\eqalign{
& \,\,\,\,Date\,\,of\,\,Birth\,\, \to \,\,Age \cr
& \,\,\,\,\,...
GATE CSE 2002
From the following instance of a relation schema $$R(A, B, C),$$ we can conclude that:
...
GATE CSE 2002
Relation $$R$$ is decomposed using a set of functional dependencies, $$F,$$ and relation $$S$$ is decomposed using another set of functional dependenc...
GATE CSE 2001
$$R(A,B,C,D)$$ is a relation. Which of the following does not have a lossless-join, dependency preserving $$BCNF$$ decomposition?
GATE CSE 2000
Given the following relation instance
$$\eqalign{
& X\,\,\,\,\,Y\,\,\,\,\,Z \cr
& \,\,1\,\,\,\,\,\,4\,\,\,\,\,\,2 \cr
& \,\,1\,\...
GATE CSE 1999
Consider the schema $$R = \left( {S\,\,T\,\,U\,\,V} \right)$$ and the dependencies $$S \to T,\,\,T \to U,\,\,U \to V$$ and $$V \to S$$ let $$R =$$ $$(...
GATE CSE 1998
Consider the following database relations containing the attributes
Book–id
Subject–Category–of–book
Name–of–Author
Nationality–of–Author
With book–id...
GATE CSE 1998
Consider the following database relations containing the attributes
Book–id
Subject–Category–of–book
Name–of–Author
Nationality–of–Author
With book–id...
GATE CSE 1997
For a database relation $$R(a,b,c,d),$$ where the domains of $$a, b, c, d$$ include only atomic values, only the following functional dependencies and...
GATE CSE 1997
Let $$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.$$ Consider t...
GATE CSE 1995
(a) Consider the relation scheme $$R(A, B, C)$$ with the following functional dependencies:
$$\eqalign{
& A,B \to C \cr
& \,\,\,\,\,\,C ...