1
GATE CSE 2000
MCQ (Single Correct Answer)
+1
-0.3

Given the relations

employee (name, salary, deptno), and
department (deptno, deptname, address)

Which of the following queries cannot be expressed using the basic relational algebra operations $$\left(\sigma, \pi,\times ,\Join, \cup, \cap,-\right)$$?
A
Department address of every employee
B
Employees whose name is the same as their department name
C
The sum of all employee’s salaries
D
All employees of a given department
2
GATE CSE 1999
MCQ (Single Correct Answer)
+1
-0.3
Consider the join of a relation R with a relation S. If R has m tuples and S has n tuples then the maximum and minimum sizes of the join respectively are
A
m + n and 0
B
mn and 0
C
m + n and |m – n|
D
mn and m + n
3
GATE CSE 1999
MCQ (Single Correct Answer)
+1
-0.3

The relational algebra expression equivalent to the following tuple calculus expression:

$$\left\{ {t|t \in r \wedge \left( {t\left[ A \right] = 10 \wedge t\left[ B \right] = 20} \right)} \right\}$$ is:
A
$${\sigma _{\left( {A = 10 \vee B = 20} \right)}}\left( r \right)$$
B
$${\sigma _{\left( {A = 10} \right)}}\left( r \right) \cup {\sigma _{\left( {B = 20} \right)}}\left( r \right)$$
C
$${\sigma _{\left( {A = 10} \right)}}\left( r \right) \cap {\sigma _{\left( {B = 20} \right)}}\left( r \right)$$
D
$${\sigma _{\left( {A = 10} \right)}}\left( r \right) - {\sigma _{\left( {B = 20} \right)}}\left( r \right)$$
4
GATE CSE 1994
True or False
+1
-0
An instance of a relational scheme R(A, B, C) has distinct values for attribute A. Can you conclude that A is a candidate key for R?
A
TRUE
B
FALSE
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