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141
GATE CSE 2024 | Set 2 | Question: 55
Consider the following augmented grammar, which is to be parsed with a $\text{SLR}$ parser. The set of terminals is $\{a, b, c, d, \#, @\}$ \[ \begin{array}{l} S^{\prime} \rightarrow S \\ S \rightarrow S S|A a| b A c|B c| b ... $\operatorname{GOTO}\left(I_{0}, S\right)$ is __________.
asked
in
Compiler Design
Feb 16
2.3k
views
gatecse2024-set2
numerical-answers
compiler-design
1
vote
2
answers
142
GATE CSE 2024 | Set 1 | Question: 1
Let $f: \mathbb{R} \rightarrow \mathbb{R}$ be a function such that $f(x)=\max \left\{x, x^3\right\}, x \in \mathbb{R}$, where $\mathbb{R}$ is the set of all real numbers. The set of all points where $f(x)$ is NOT differentiable is $\{-1,1,2\}$ $\{-2,-1,1\}$ $\{0,1\}$ $\{-1,0,1\}$
asked
in
Calculus
Feb 16
3.3k
views
gatecse2024-set1
calculus
3
votes
7
answers
143
GATE CSE 2024 | Set 1 | Question: 2
The product of all eigenvalues of the matrix $\left[\begin{array}{lll}1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9\end{array}\right]$ is $-1$ $0$ $1$ $2$
asked
in
Linear Algebra
Feb 16
2.6k
views
gatecse2024-set1
linear-algebra
2
votes
5
answers
144
GATE CSE 2024 | Set 1 | Question: 3
Consider a system that uses $5$ bits for representing signed integers in $2$ 's complement format. In this system, two integers $A$ and $B$ are represented as $A$=$01010$ and $B$=$11010$. Which one of the following operations will result in either an arithmetic overflow or an arithmetic underflow? $A+B$ $A-B$ $B-A$ $2 * B$
asked
in
Digital Logic
Feb 16
3.4k
views
gatecse2024-set1
digital-logic
0
votes
1
answer
145
GATE CSE 2024 | Set 1 | Question: 4
Consider a permutation sampled uniformly at random from the set of all permutations of $\{1,2,3, \cdots, n\}$ for some $n \geq 4$. Let $X$ be the event that $1$ occurs before $2$ in the permutation, and $Y$ the event that $3$ occurs before ... The events $X$ and $Y$ are independent Either event $X$ or $Y$ must occur Event $X$ is more likely than event $Y$
asked
in
Probability
Feb 16
2.1k
views
gatecse2024-set1
probability
0
votes
2
answers
146
GATE CSE 2024 | Set 1 | Question: 5
Which one of the following statements is FALSE? In the cycle stealing mode of DMA, one word of data is transferred between an I/O device and main memory in a stolen cycle For bulk data transfer, the burst mode of ... driven I/O mechanism The CPU can start executing an interrupt service routine faster with vectored interrupts than with non-vectored interrupts
asked
in
CO and Architecture
Feb 16
2.0k
views
gatecse2024-set1
co-and-architecture
3
votes
2
answers
147
GATE CSE 2024 | Set 1 | Question: 6
A user starts browsing a webpage hosted at a remote server. The browser opens a single TCP connection to fetch the entire webpage from the server. The webpage consists of a top-level index page with multiple embedded image objects. Assume that all caches (e.g., DNS cache, browser cache) are ... $\text{(ii), (iv), (i), (iii)}$ $\text{(iv), (ii), (i), (iii)}$
asked
in
Computer Networks
Feb 16
2.3k
views
gatecse2024-set1
computer-networks
1
vote
1
answer
148
GATE CSE 2024 | Set 1 | Question: 7
Given an integer array of size $N$, we want to check if the array is sorted (in either ascending or descending order). An algorithm solves this problem by making a single pass through the array and comparing each element of the array only with its adjacent elements. The ... $\Omega(N)$ but not $\mathrm{O}(N)$ neither $\mathrm{O}(N)$ nor $\Omega(N)$
asked
in
Algorithms
Feb 16
3.0k
views
gatecse2024-set1
algorithms
time-complexity
3
votes
3
answers
149
GATE CSE 2024 | Set 1 | Question: 8
Consider the following $\mathrm{C}$ program: #include <stdio.h> int main() { int a=6; int b = 0; while (a<10) { a = a / 12+1 ; a += b ;} printf ("%d", a); return 0 ; } Which one of the following ... The program prints $9$ as output The program prints $10$ as output The program gets stuck in an infinite loop The program prints $6$ as output
asked
in
Programming in C
Feb 16
5.5k
views
gatecse2024-set1
programming
programming-in-c
1
vote
3
answers
150
GATE CSE 2024 | Set 1 | Question: 9
Consider the following $\mathrm{C}$ program: #include <stdio.h> void fX () { void fX () ; char a; int main() { if ((a=g e t c h a r()) ! = '\n') fX}() ; fX(); return 0 ; if (a ! ... program will not terminate The program will terminate with no output The program will terminate with $4321$ as output The program will terminate with $1234$ as output
asked
in
Programming in C
Feb 16
2.7k
views
gatecse2024-set1
programming
programming-in-c
1
vote
2
answers
151
GATE CSE 2024 | Set 1 | Question: 10
Let $\mathrm{S}$ be the specification: "Instructors teach courses. Students register for courses. Courses are allocated classrooms. Instructors guide students." Which one of the following $\mathrm{ER}$ diagrams CORRECTLY represents $\mathrm{S}$? $\text{(i)}$ $\text{(ii)}$ $\text{(iii)}$ $\text{(iv)}$
asked
in
Databases
Feb 16
1.9k
views
gatecse2024-set1
databases
er-diagram
2
votes
3
answers
152
GATE CSE 2024 | Set 1 | Question: 11
In a $\mathrm{B}+$ tree, the requirement of at least half-full $(50 \%)$ node occupancy is relaxed for which one of the following cases? Only the root node All leaf nodes All internal nodes Only the leftmost leaf node
asked
in
Databases
Feb 16
2.1k
views
gatecse2024-set1
databases
3
votes
2
answers
153
GATE CSE 2024 | Set 1 | Question: 12
Which of the following statements about a relation $\mathbf{R}$ in first normal form $\text{(1NF)}$ is/are TRUE? $\mathbf{R}$ can have a multi-attribute key $\mathbf{R}$ cannot have a foreign key $\mathbf{R}$ cannot have a composite attribute $\mathbf{R}$ cannot have more than one candidate key
asked
in
Databases
Feb 16
3.3k
views
gatecse2024-set1
multiple-selects
databases
0
votes
1
answer
154
GATE CSE 2024 | Set 1 | Question: 13
Let $L_1, L_2$ be two regular languages and $L_3$ a language which is not regular. Which of the following statements is/are always TRUE? $L_1=L_2$ if and only if $L_1 \cap \overline{L_2}=\phi$ $L_1 \cup L_3$ is not regular $\overline{L_3}$ is not regular $\overline{L_1} \cup \overline{L_2}$ is regular
asked
in
Theory of Computation
Feb 16
2.5k
views
gatecse2024-set1
multiple-selects
theory-of-computation
1
vote
1
answer
155
GATE CSE 2024 | Set 1 | Question: 14
Which of the following statements about threads is/are TRUE? Threads can only be implemented in kernel space Each thread has its own file descriptor table for open files All the threads belonging to a process share a common stack Threads belonging to a process are by default not protected from each other
asked
in
Operating System
Feb 16
2.5k
views
gatecse2024-set1
multiple-selects
operating-system
1
vote
1
answer
156
GATE CSE 2024 | Set 1 | Question: 15
Which of the following process state transitions is/are NOT possible? Running to Ready Waiting to Running Ready to Waiting Running to Terminated
asked
in
Operating System
Feb 16
2.3k
views
gatecse2024-set1
operating-system
process-scheduling
multiple-selects
1
vote
1
answer
157
GATE CSE 2024 | Set 1 | Question: 16
Which of the following is/are Bottom-Up Parser(s)? Shift-reduce Parser Predictive Parser LL$(1)$ Parser LR Parser
asked
in
Compiler Design
Feb 16
1.9k
views
gatecse2024-set1
multiple-selects
compiler-design
1
vote
1
answer
158
GATE CSE 2024 | Set 1 | Question: 17
Let $A$ and $B$ be two events in a probability space with $P(A)=0.3, P(B)=0.5$, and $P(A \cap B)=0.1$. Which of the following statements is/are TRUE? The two events $A$ and $B$ are independent $P(A \cup B)=0.7$ ... $B$ $P\left(A^c \cap B^c\right)=0.4$, where $A^c$ and $B^c$ are the complements of the events $A$ and $B$, respectively
asked
in
Probability
Feb 16
1.7k
views
gatecse2024-set1
multiple-selects
probability
2
votes
1
answer
159
GATE CSE 2024 | Set 1 | Question: 18
Consider the circuit shown below where the gates may have propagation delays. Assume that all signal transitions occur instantaneously and that wires have no delays. Which of the following statements about the circuit is/are CORRECT? With no propagation ... , the output $Y$ can have a transient logic Zero after $X$ transitions from logic One to logic Zero
asked
in
Digital Logic
Feb 16
2.1k
views
gatecse2024-set1
multiple-selects
digital-logic
2
votes
1
answer
160
GATE CSE 2024 | Set 1 | Question: 19
$\mathrm{TCP}$ client $\mathrm{P}$ successfully establishes a connection to $\text{TCP}$ server $\mathrm{Q}$. Let $\text{N}_{P}$ denote the sequence number in the $\text{SYN}$ sent from $\mathrm{P}$ to $\mathrm{Q}$. Let $\text{N}_{Q}$ denote the ... $\text{N}_{P}$ The acknowledgement number $\text{N}_{Q}$ is equal to $\text{N}_{P}+1$
asked
in
Computer Networks
Feb 16
1.7k
views
gatecse2024-set1
multiple-selects
computer-networks
tcp
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