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Questions by Arjun
0
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3
answers
21
GATE DS&AI 2024 | GA Question: 10
Visualize two identical right circular cones such that one is inverted over the other and they share a common circular base. If a cutting plane passes through the vertices of the assembled cones, what shape does the outer boundary of the resulting cross-section make? A rhombus A triangle An ellipse A hexagon
asked
in
Spatial Aptitude
Feb 16
2.0k
views
gate-ds-ai-2024
spatial-aptitude
0
votes
1
answer
22
GATE DS&AI 2024 | Question: 1
Consider the following statements: The mean and variance of a Poisson random variable are equal. For a standard normal random variable, the mean is zero and the variance is one. Which ONE of the following options is correct? Both $\text{(i)}$ and $\text{(ii)}$ are true ... $\text{(i)}$ is false Both $\text{(i)}$ and $\text{(ii)}$ are false
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in
Probability
Feb 16
1.2k
views
gate-ds-ai-2024
probability
0
votes
1
answer
23
GATE DS&AI 2024 | Question: 2
Three fair coins are tossed independently. $T$ is the event that two or more tosses result in heads. $S$ is the event that two or more tosses result in tails. What is the probability of the event $T \cap S$? $0$ $0.5$ $0.25$ $1$
asked
in
Others
Feb 16
928
views
gate-ds-ai-2024
0
votes
1
answer
24
GATE DS&AI 2024 | Question: 3
Consider the matrix $\boldsymbol{M}=\left[\begin{array}{cc}2 & -1 \\ 3 & 1\end{array}\right]$. Which ONE of the following statements is TRUE? The eigenvalues of $\boldsymbol{M}$ are non-negative and real. The eigenvalues of ... zero. One eigenvalue of $\boldsymbol{M}$ is non-negative and real, and another eigenvalue of $\boldsymbol{M}$ is negative and real.
asked
in
Others
Feb 16
807
views
gate-ds-ai-2024
0
votes
1
answer
25
GATE DS&AI 2024 | Question: 4
Consider performing depth-first search (DFS) on an undirected and unweighted graph $G$ starting at vertex $s$. For any vertex $u$ in $G, d[u]$ is the length of the shortest path from $s$ to $u$. Let $(u, v)$ be an edge in $G$ such that $d[u]<d[v]$ ... from $u$ to $v$ during the above DFS, then $(u, v)$ becomes a $\_\_\_\_\_\_\_\_$ edge. tree cross back gray
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in
Others
Feb 16
787
views
gate-ds-ai-2024
0
votes
1
answer
26
GATE DS&AI 2024 | Question: 5
For any twice differentiable function $f: \mathbb{R} \rightarrow \mathbb{R}$, if at some $x^{*} \in \mathbb{R}, f^{\prime}\left(x^{*}\right)=0$ and $f^{\prime \prime}\left(x^{*}\right)>0$, then the function $f$ ... $x=x^{*}$. Note: $\mathbb{R}$ denotes the set of real numbers. local minimum global minimum local maximum global maximum
asked
in
Others
Feb 16
828
views
gate-ds-ai-2024
0
votes
2
answers
27
GATE DS&AI 2024 | Question: 6
Match the items in Column $1$ with the items in Column $2$ in the following table: \begin{array}{|ll|ll|} \hline & \text{Column 1} & & \text{Column 2} \\ \hline & & & \\ \text{(p)} & \text{First In First Out} & \text{ ... $(\mathrm{p})-(\mathrm{i}),(\mathrm{q})-(\mathrm{iii}),(\mathrm{r})-(\mathrm{ii})$
asked
in
Algorithms
Feb 16
761
views
gate-ds-ai-2024
algorithms
match-the-following
0
votes
1
answer
28
GATE DS&AI 2024 | Question: 7
Consider the dataset with six datapoints: $\left\{\left(\text{x}_{1}, \text{y}_{1}\right),\left(\text{x}_{2}, \text{y}_{2}\right), \ldots,\left(\text{x}_{6}, \text{y}_{6}\right)\right\}$ ... $\left\{x_{4}, x_{5}\right\}$ $\left\{x_{1}, x_{2}, x_{3}, x_{4}\right\}$
asked
in
Others
Feb 16
639
views
gate-ds-ai-2024
0
votes
1
answer
29
GATE DS&AI 2024 | Question: 8
Match the items in Column $1$ with the items in Column $2$ in the following table: \begin{array}{|l|l|} \hline \text{Column 1} & \text{Column 2} \\ \hline \text{(p) Principal Component Analysis} & \text{(i) Discriminative Model} \\ \text{(q) Naïve Bayes ... $(\mathrm{p})-(\mathrm{iii}),(\mathrm{q})-(\mathrm{ii}),(\mathrm{r})-(\mathrm{i})$
asked
in
Others
Feb 16
1.1k
views
gate-ds-ai-2024
0
votes
2
answers
30
GATE DS&AI 2024 | Question: 9
Euclidean distance based $k$-means clustering algorithm was run on a dataset of $100$ points with $k=3$. If the points $\left[\begin{array}{l}1 \\ 1\end{array}\right]$ and $\left[\begin{array}{c}-1 \\ 1\end{array}\right]$ ... $\left[\begin{array}{l}2 \\ 0\end{array}\right]$ $\left[\begin{array}{l}0 \\ 1\end{array}\right]$
asked
in
Others
Feb 16
756
views
gate-ds-ai-2024
0
votes
1
answer
31
GATE DS&AI 2024 | Question: 10
Given a dataset with $K$ binary-valued attributes (where $K>2$ ) for a two-class classification task, the number of parameters to be estimated for learning a naïve Bayes classifier is $2^{K}+1$ $2 K+1$ $2^{K+1}+1$ $K^{2}+1$
asked
in
Others
Feb 16
796
views
gate-ds-ai-2024
0
votes
1
answer
32
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 ... $\frac{1}{1-\alpha}$ $1+\frac{\alpha}{2}$ $\frac{1}{1+\alpha}$
asked
in
DS
Feb 16
693
views
gate-ds-ai-2024
data-structures
hashing
uniform-hashing
0
votes
1
answer
33
GATE DS&AI 2024 | Question: 12
For any binary classification dataset, let $S_{B} \in \mathbb{R}^{d \times d}$ and $S_{W} \in \mathbb{R}^{d \times d}$ be the between-class and within-class scatter (covariance) matrices, respectively. The Fisher linear discriminant is defined by $u^{*} \in \mathbb{R}^{d}$, ... $S_{B} S_{W} u^{*}=\lambda u^{*}$ $u^{* T} u^{*}=\lambda^{2}$
asked
in
Others
Feb 16
463
views
gate-ds-ai-2024
0
votes
1
answer
34
GATE DS&AI 2024 | Question: 13
Let $h_{1}$ and $h_{2}$ be two admissible heuristics used in $A^{*}$ search. Which ONE of the following expressions is always an admissible heuristic? $h_{1}+h_{2}$ $h_{1} \times h_{2}$ $h_{1} / h_{2},\left(h_{2} \neq 0\right)$ $\left|h_{1}-h_{2}\right|$
asked
in
Artificial Intelligence
Feb 16
788
views
gate-ds-ai-2024
artificial-intelligence
0
votes
2
answers
35
GATE DS&AI 2024 | Question: 14
Consider five random variables $U, V, W, X$, and $Y$ whose joint distribution satisfies: \[ P(U, V, W, X, Y)=P(U) P(V) P(W \mid U, V) P(X \mid W) P(Y \mid W) \] Which ONE of the following statements is FALSE? ... $U$ given $W$ $U$ and $V$ are conditionally independent given $W$ $Y$ and $X$ are conditionally independent given $W$
asked
in
Others
Feb 16
824
views
gate-ds-ai-2024
0
votes
1
answer
36
GATE DS&AI 2024 | Question: 15
Consider the following statement: In adversarial search, $\alpha-\beta$ pruning can be applied to game trees of any depth where $\alpha$ is the (m) value choice we have formed so far at any choice point along the path for the MAX player and $\beta$ is the (n ... $(\mathbf{m})=$ highest,$(\mathbf{n})=$ lowest $(\mathbf{m})=$ lowest, $(\mathbf{n})=$ lowest
asked
in
Others
Feb 16
659
views
gate-ds-ai-2024
0
votes
1
answer
37
GATE DS&AI 2024 | Question: 16
Consider a database that includes the following relations: Defender(name, rating, side, goals) Forward(name, rating, assists, goals) Team(name, club, price) Which ONE of the following relational algebra expressions checks that every name occurring in Team appears in ... $\left.)\right) \backslash \Pi_{\text {name }}($ Team $)=\phi$
asked
in
Others
Feb 16
877
views
gate-ds-ai-2024
0
votes
1
answer
38
GATE DS&AI 2024 | Question: 17
Let the minimum, maximum, mean and standard deviation values for the attribute income of data scientists be ₹$46000$, ₹ $170000$, ₹ $96000$, and ₹ $21000$, respectively. The $z$-score normalized income value of ₹ $106000$ is closest to which ONE of the following options? $0.217$ $0.476$ $0.623$ $2.304$
asked
in
Others
Feb 16
671
views
gate-ds-ai-2024
0
votes
1
answer
39
GATE DS&AI 2024 | Question: 18
Consider the following tree traversals on a full binary tree: Preorder Inorder Postorder Which of the following traversal options is/are sufficient to uniquely reconstruct the full binary tree? $\text{(i) and (ii)}$ $\text{(ii) and (iii)}$ $\text{(i) and (iii)}$ $\text{(ii) only}$
asked
in
Others
Feb 16
1.0k
views
gate-ds-ai-2024
0
votes
1
answer
40
GATE DS&AI 2024 | Question: 19
Let $x$ and $y$ be two propositions. Which of the following statements is a tautology /are tautologies? $(\neg x \wedge y) \Rightarrow(y \Rightarrow x)$ $(x \wedge \neg y) \Rightarrow(\neg x \Rightarrow y)$ $(\neg x \wedge y) \Rightarrow(\neg x \Rightarrow y)$ $(x \wedge \neg y) \Rightarrow(y \Rightarrow x)$
asked
in
Others
Feb 16
759
views
gate-ds-ai-2024
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