1
GATE CSE 2007
MCQ (Single Correct Answer)
+2
-0.6

Information about a collection of students is given by the relation studInfo(studId, name, sex). The relation enroll(studId, courseId) gives which student has enrolled for (or taken) what course(s). Assume that every course is taken by at least one male and at least one female student. What does the following relational algebra expression represent?

$$\eqalign{ & \prod\nolimits_{courseId} {((\prod\nolimits_{studId} {({\sigma _{sex = 'female'}}} } \cr & (studInfo)) \times \prod\nolimits_{courseId} {(enroll)) - enroll)} \cr} $$
A
Courses in which all the female students are enrolled.
B
Courses in which a proper subset of female students are enrolled.
C
Courses in which only male students are enrolled.
D
None of the above.
2
GATE CSE 2007
MCQ (Single Correct Answer)
+2
-0.6
Consider the table employee(empId, name, department, salary) and the two queries Q1, Q2 below. Assuming that department 5 has more than one employee, and we want to find the employees who get higher salary than anyone in the department 5, which one of the statements is TRUE for any arbitrary employee table?
Q1:
Select e.empId 
From employee e 
Where not exists 
  (Select * From employee s
   where s.department = "5" and 
   s.salary >=e.salary);
Q2:
Select e.empId 
From employee e 
Where e.salary > Any 
( Select distinct salary 
From employee s 
Where s.department = "5");
A
Q1 is the correct query.
B
Q2 is the correct query.
C
Both Q1 and Q2 produce the same answer.
D
Neither Q1 nor Q2 is the correct query.
3
GATE CSE 2007
MCQ (Single Correct Answer)
+2
-0.6
Which one of the following statements if FALSE?
A
Any relation with two attributes is in $$BCNF.$$
B
A relation in which every key has only one attribute is in $$2NF$$.
C
A prime attribute can be transitively dependent on a key in a $$3$$ $$N$$F relation.
D
A prime attribute can be transitively dependent on a key in a $$BCNF$$ relation.
4
GATE CSE 2007
MCQ (Single Correct Answer)
+1
-0.3
Consider the following Boolean function with four variables
$$F\left( {w,\,x,\,y,\,z} \right) = \sum {\left( {1,\,3,\,4,\,6,\,9,\,11,\,12,\,14} \right)} $$ the function is
A
Independent of one variables
B
Independent of two variables
C
Independent of three variables
D
Depends on all variables