1
GATE CSE 2021 Set 1
Numerical
+1
-0

A relation r(A, B) in a relational database has 1200 tuples. The attribute A has integer values ranging from 6 to 20, and the attribute B has integer values ranging from 1 to 20. Assume that the attributes A and B are independently distributed. The estimated number of tuples in the output of σ(A>10)∨(B=18)(r) is ______

Your input ____
2
GATE CSE 2014 Set 3
MCQ (Single Correct Answer)
+1
-0.3
What is the optimized version of the relation algebra expression $$\pi_{A1}(\pi_{A2}(\sigma_{F1}(\sigma_{F2}(r))))$$, where $$A1, A2$$ are sets of attributes in r with $$A1 \subset A2$$ and $$F1,F2$$ are Boolean expressions based on the attributes in r?
A
$$\pi_{A1}(\sigma_{(F1 \wedge F2)}(r))$$
B
$$\pi_{A1}(\sigma_{(F1 \vee F2)}(r))$$
C
$$\pi_{A2}(\sigma_{(F1 \wedge F2)}(r))$$
D
$$\pi_{A2}(\sigma_{(F1 \vee F2)}(r))$$
3
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
4
GATE CSE 2006
MCQ (Single Correct Answer)
+1
-0.3
Consider the relations r1(P, Q, R) and r2(R, S, T) with primary keys P and R respectively. The relation r1 contains 2000 tuples and r2 contains 2500 tuples. The maximum size of the join $${r_1} \Join {r_2}$$ is
A
2000
B
2500
C
4500
D
5000
GATE CSE Subjects
Software Engineering
Web Technologies
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