1
GATE CSE 2025 Set 1
MCQ (More than One Correct Answer)
+2
-0

Consider a relational schema team(name, city, owner), with functional dependencies \{name $\rightarrow$ city, name $\rightarrow$ owner}.

The relation team is decomposed into two relations, $t 1$ (name, city) and $t 2$ (name, owner). Which of the following statement(s) is/are TRUE?

A
The relation team is NOT in BCNF.
B
The relations $t 1$ and $t 2$ are in BCNF.
C
The decomposition constitutes a lossless join.
D
The relation team is NOT in 3NF.
2
GATE CSE 2025 Set 1
Numerical
+2
-0

Consider the following database tables of a sports league.

player(pid, pname, age)

team(tid, tname, city, cid)

coach(cid, cname)

members(pid, tid)

An instance of the table and an SQL query are given.

GATE CSE 2025 Set 1 Database Management System - Structured Query Language Question 2 English

The value returned by the given SQL query is ________ . (Answer in integer)

Your input ____
3
GATE CSE 2025 Set 1
MCQ (More than One Correct Answer)
+1
-0

Let $X$ be a 3-variable Boolean function that produces output as ' 1 ' when at least two of the input variables are ' 1 '. Which of the following statement(s) is/are CORRECT, where $a, b, c, d, e$ are Boolean variables?

A
$X(a, b, X(c, d, e))=X(X(a, b, c), d, e)$
B
$X(a, b, X(a, b, c))=X(a, b, c)$
C
$X(a, b, X(a, c, d))=(X(a, b, a)$ AND $X(c, d, c))$
D
$X(a, b, c)=X(a, X(a, b, c), X(a, c, c))$
4
GATE CSE 2025 Set 1
MCQ (More than One Correct Answer)
+1
-0

The number -6 can be represented as 1010 in 4-bit 2's complement representation. Which of the following is/are CORRECT 2's complement representation(s) of $-6$ ?

A
10001010 in 8-bits
B
11111010 in 8-bits
C
1000000000001010 in 16-bits
D
1111111111111010 in 16-bits
EXAM MAP