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GATE CSE 2024 | Set 2 | Question: 42
Consider a context-free grammar $\text{G}$ with the following $3$ rules. \[ S \rightarrow a S, S \rightarrow a S b S , S \rightarrow c \] Let $w \in L(G)$. Let $ n_{a}(w), n_{b}(w), n_{c}(w) $ denote the number of times $a, b, c$ occur in $w$, respectively. Which of ... $n_{a}(w)>n_{c}(w)-2$ $n_{c}(w)=n_{b}(w)+1$ $n_{c}(w)=n_{b}(w) * 2$
answered
in
Theory of Computation
Feb 22
1.6k
views
gatecse2024-set2
theory-of-computation
multiple-selects
0
votes
2
GATE DS&AI 2024 | Question: 11
Consider performing uniform hashing on an open address hash table with load factor $\alpha=\frac{n}{m}<1$, where $n$ elements are stored in the table with $m$ slots. The expected number of probes in an unsuccessful search is at most $\frac{1}{1-\alpha}$. Inserting ... $\frac{1}{1-\alpha}$ $1+\frac{\alpha}{2}$ $\frac{1}{1+\alpha}$
answered
in
DS
Feb 17
695
views
gate-ds-ai-2024
data-structures
hashing
uniform-hashing
1
vote
3
GATE DS&AI 2024 | Question: 54
Given the following Bayesian Network consisting of four Bernoulli random variables and the associated conditional probability tables: \begin{array}{|c|c|} \hline & P(\cdot) \\ \hline U=0 & 0.5 \\ \hline U=1 & 0.5 \\ \hline \end{array} \begin{array}{|c|c|c|} \ ... The value of $P(U=1, V=1, W=1, Z=1)= \_\_\_\_\_\_\_$ (rounded off to three decimal places).
answered
in
Others
Feb 17
1.0k
views
gate-ds-ai-2024
numerical-answers
0
votes
4
GATE DS&AI 2024 | Question: 25
Consider the $3 \times 3$ matrix $\boldsymbol{M}=\left[\begin{array}{lll}1 & 2 & 3 \\ 3 & 1 & 3 \\ 4 & 3 & 6\end{array}\right]$. The determinant of $\left(\boldsymbol{M}^{2}+12 \boldsymbol{M}\right)$ is $\_\_\_\_\_\_\_\_\_$.
answered
in
Others
Feb 17
619
views
gate-ds-ai-2024
numerical-answers
0
votes
5
GATE DS&AI 2024 | Question: 27
Let $f: \mathbb{R} \rightarrow \mathbb{R}$ be a function. Note: $\mathbb{R}$ denotes the set of real numbers. \[ f(x)=\left\{\begin{array}{cl} -x, & \text { if } x<-2 \\ a x^{2}+b x+c, & \text { if } x \in[-2,2] \\ x, & \text { if } x>2 \end ... differentiable? $a=\frac{1}{4}, b=0, c=1$ $a=\frac{1}{2}, b=0, c=0$ $a=0, b=0, c=0$ $a=1, b=1, c=-4$
answered
in
Others
Feb 17
775
views
gate-ds-ai-2024
0
votes
6
GATE DS&AI 2024 | Question: 32
Consider the table below, where the $(i, j)^{t h}$ element of the table is the distance between points $x_{i}$ and $x_{j}$. Single linkage clustering is performed on data points, $x_{1}, x_{2}, x_{3}, x_{4}, x_{5}$. \begin{array} ... & 3 & 5 & 1 & 0 \\ \hline \end{array} Which ONE of the following is the correct representation of the clusters produced?
answered
in
Others
Feb 17
664
views
gate-ds-ai-2024
0
votes
7
GATE DS&AI 2024 | Question: 41
Consider the directed acyclic graph (DAG) below: Which of the following is/are valid vertex orderings that can be obtained from a topological sort of the DAG? $\text{P Q R S T U V}$ $\text{P R Q V SUT}$ $\text{P Q R S V U T}$ $\text{P R Q S V T U}$
answered
in
Algorithms
Feb 17
678
views
gate-ds-ai-2024
algorithms
topological-sort
directed-acyclic-graph
0
votes
8
GATE DS&AI 2024 | Question: 45
An OTT company is maintaining a large disk-based relational database of different movies with the following schema: \[ \begin{array}{l} \text { Movie (ID, CustomerRating) } \\ \text { Genre (ID, Name) } \\ \text { Movie_Genre ... attributes. Hash index on Movie.CustomerRating and $\mathrm{B}^{+}$tree on the remaining attributes. Hash index on all the attributes.
answered
in
Others
Feb 17
811
views
gate-ds-ai-2024
0
votes
9
GATE CSE 2024 | Set 2 | Question: 44
Consider a $\text{TCP}$ connection operating at a point of time with the congestion window of size $12$ $\text{MSS}$ (Maximum Segment Size), when a timeout occurs due to packet loss. Assuming that all the segments transmitted in the next ... Time) are acknowledged correctly, the congestion window size (in $MSS$) during the third $\text{RTT}$ will be __________.
answered
in
Computer Networks
Feb 17
1.5k
views
gatecse2024-set2
numerical-answers
computer-networks
3
votes
10
GATE CSE 2024 | Set 2 | Question: 34
Let $x$ and $y$ be random variables, not necessarily independent, that take real values in the interval $[0,1]$. Let $z=x y$ and let the mean values of $x, y, z$ be $\bar{x}, \bar{y}, \bar{z}$ ... $\bar{z} \leq \bar{x} \bar{y}$ $\bar{z} \geq \bar{x} \bar{y}$ $\bar{z} \leq \bar{x}$
answered
in
Probability
Feb 17
2.3k
views
gatecse2024-set2
probability
random-variable
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