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1

GATE CSE 2002

MCQ (Single Correct Answer)
From the following instance of a relation schema $$R(A, B, C),$$ we can conclude that:
A
A functionally determines $$B$$ and $$B$$ functionally determines $$C$$
B
A functionally determines $$B$$ and $$B$$ does not functionally determines $$C$$
C
$$B$$ does not functionally determines $$C$$
D
A does not functionally determine $$B$$ and $$B$$ does not functionally determine $$C$$
2

GATE CSE 2001

MCQ (Single Correct Answer)
$$R(A,B,C,D)$$ is a relation. Which of the following does not have a lossless-join, dependency preserving $$BCNF$$ decomposition?
A
$$A \to B,\,B \to CD$$
B
$$A \to B,\,B \to C.\,C \to D$$
C
$$AB \to C,\,C \to AD$$
D
$$A \to BCD$$
3

GATE CSE 2000

MCQ (Single Correct Answer)
Given the following relation instance
$$\eqalign{ & X\,\,\,\,\,Y\,\,\,\,\,Z \cr & \,\,1\,\,\,\,\,\,4\,\,\,\,\,\,2 \cr & \,\,1\,\,\,\,\,\,5\,\,\,\,\,\,3 \cr & \,\,1\,\,\,\,\,\,6\,\,\,\,\,\,3 \cr & \,\,3\,\,\,\,\,\,2\,\,\,\,\,\,2 \cr} $$

Which of the following functional dependencies are satisfied by the instance?

A
$$XY \to Z$$ and $$Z \to Y$$
B
$$YZ \to X$$ and $$Y \to Z$$
C
$$YZ \to X$$ and $$X \to Z$$
D
$$XZ \to Y$$ and $$Y \to X$$
4

GATE CSE 1999

MCQ (Single Correct Answer)
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 $$R =$$ $$(R1$$ and $$R2)$$ be a decomposition such that $$R1 \cap R2 \ne \phi .$$ The decomposition is:
A
Not in $$2NF$$
B
In $$2NF$$ but not $$3NF$$
C
In $$3NF$$ but not in $$2NF$$
D
In both $$2NF$$ and $$3NF$$

Joint Entrance Examination

JEE Main JEE Advanced WB JEE

Graduate Aptitude Test in Engineering

GATE CSE GATE ECE GATE EE GATE ME GATE CE GATE PI GATE IN

Medical

NEET

CBSE

Class 12