1
GATE CSE 2008
MCQ (Single Correct Answer)
+1
-0.3

Which of the following tuple relational calculus expression(s) is/are equivalent to $$\forall t \in r \left(P\left(t\right)\right)$$?

I. $$\neg \exists t \in r \left(P\left(t\right)\right)$$
II. $$\exists t \notin r \left(P\left(t\right)\right)$$
III. $$\neg \exists t \in r \left(\neg P\left(t\right)\right)$$
IV. $$\exists t \notin r \left(\neg P\left(t\right)\right)$$
A
I only
B
II only
C
III only
D
III and IV only
2
GATE CSE 2008
MCQ (Single Correct Answer)
+2
-0.6

Consider The Following Relational Scheme

Student (school-id, sch-roll-no, sname, saddress)
School (school-id, sch-name, sch-address, sch-phone)
Enrolment (school-id, sch-roll-no, erollno, examname)
ExamResult (Erollno, examname, marks)

Consider the following tuple relational calculus query

{ t | ∃E ∈ Enrolment t = E.school-id ∧ 
| { x | x ∈ ExamResult B.school-id = 
t ∧ ( ∃B ∈ ExamResult B.erollno = 
x.erollno ∧ B.examname = x.examname ∧ 
B.marks > 35 } | ÷ | 
{ x | x ∈ Enrolment ∧ x.school-id = t } 
| * 100 > 35 }
If a student needs to score more than 35 marks to pass an exam what does the query return?
A
The empty set
B
Schools with more than 35% of it's student enrolled in some exam or the other
C
Schools with a pass percentage above 35% over all exams taken together
D
Schools with a pass percentage above 35% over each exam.
3
GATE CSE 2008
MCQ (Single Correct Answer)
+2
-0.6

Consider The Following Relational Scheme

Student (school-id, sch-roll-no, sname, saddress)
School (school-id, sch-name, sch-address, sch-phone)
Enrolment (school-id, sch-roll-no, erollno, examname)
ExamResult (Erollno, examname, marks)

What does the following SQL query output?
SELECT sch-name, COUNT (*) 
FROM School C, Enrolment E, 
ExamResult R 
WHERE E.school-id = C.school-id 
AND E.examname = R.examname 
AND E.erollno = R.erollno
AND R.marks = 100 AND S.school-id IN 
(SELECT school-id 
 FROM student 
 GROUP BY school-id 
 HAVING COUNT (*) > 200) 
GROUP BY school-id;
A
for each school with more than 200 students appearing in exams, the name of the school and the number of 100s scored by its students
B
for each school with more than 200 students in it, the name of the school and the number of 100s scored by its students
C
for each school with more than 200 students in it, the name of the school and the number of its students scoring 100 in at least one exam
D
nothing; the query has a syntax error
4
GATE CSE 2008
MCQ (Single Correct Answer)
+2
-0.6
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: $$AB \to CD,\,\,DE \to P,\,\,C \to E.\,\,P \to C$$ and $$B \to G.$$ The relational schema $$R$$ is
A
In $$BCNF$$
B
In $$3NF,$$ but not in $$3NF$$
C
In $$2NF,$$ but not in $$3NF$$
D
Not in $$2NF$$
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