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91
GATE DS&AI 2024 | GA Question: 5
In an election, the share of valid votes received by the four candidates $\text{A, B, C}$, and $\mathrm{D}$ is represented by the pie chart shown. The total number of votes cast in the election were $1,15,000$, out of which $5,000$ were invalid ... of valid votes received by the candidates $\mathrm{B}$ and $\mathrm{C}$ is $45,000$ $49,500$ $51,750$ $54,000$
Arjun
asked
in
Quantitative Aptitude
Feb 16
by
Arjun
1.5k
views
gate-ds-ai-2024
quantitative-aptitude
pie-chart
1
vote
2
answers
92
GATE DS&AI 2024 | GA Question: 6
Thousands of years ago, some people began dairy farming. This coincided with a number of mutations in a particular gene that resulted in these people developing the ability to digest dairy milk. Based on the given passage, which of ... Digestion of dairy milk is essential for human beings. In human beings, digestion of dairy milk resulted from a mutated gene.
Arjun
asked
in
Analytical Aptitude
Feb 16
by
Arjun
1.4k
views
gate-ds-ai-2024
analytical-aptitude
logical-reasoning
0
votes
4
answers
93
GATE DS&AI 2024 | GA Question: 7
The probability of a boy or a girl being born is $1 / 2$. For a family having only three children, what is the probability of having two girls and one boy? $3 / 8$ $1 / 8$ $1 / 4$ $1 / 2$
Arjun
asked
in
Quantitative Aptitude
Feb 16
by
Arjun
2.3k
views
gate-ds-ai-2024
quantitative-aptitude
probability
0
votes
2
answers
94
GATE DS&AI 2024 | GA Question: 8
Person $1$ and Person $2$ invest in three mutual funds $\text{A, B}$, and $\text{C}$. The amounts they invest in each of these mutual funds are given in the table. \begin{array}{|c|c|c|c|} \hline & \text{Mutual fund A} & \text{Mutual fund B} ... $\mathrm{A}$? $7.5 \%$ $10 \%$ $15 \%$ $20 \%$
Arjun
asked
in
Quantitative Aptitude
Feb 16
by
Arjun
1.2k
views
gate-ds-ai-2024
quantitative-aptitude
compound-interest
0
votes
1
answer
95
GATE DS&AI 2024 | GA Question: 9
Three different views of a dice are shown in the figure below. The piece of paper that can be folded to make this dice is
Arjun
asked
in
Spatial Aptitude
Feb 16
by
Arjun
1.2k
views
gate-ds-ai-2024
spatial-aptitude
figure-rotation
0
votes
3
answers
96
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
Arjun
asked
in
Spatial Aptitude
Feb 16
by
Arjun
2.0k
views
gate-ds-ai-2024
spatial-aptitude
0
votes
1
answer
97
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
Arjun
asked
in
Probability
Feb 16
by
Arjun
1.2k
views
gate-ds-ai-2024
probability
0
votes
1
answer
98
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 $T \cap S$? $0$ $0.5$ $0.25$ $1$
Arjun
asked
in
Others
Feb 16
by
Arjun
928
views
gate-ds-ai-2024
0
votes
1
answer
99
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.
Arjun
asked
in
Others
Feb 16
by
Arjun
806
views
gate-ds-ai-2024
0
votes
1
answer
100
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
Arjun
asked
in
Others
Feb 16
by
Arjun
785
views
gate-ds-ai-2024
0
votes
1
answer
101
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
Arjun
asked
in
Others
Feb 16
by
Arjun
826
views
gate-ds-ai-2024
0
votes
2
answers
102
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{ ... $(\mathrm{p})-(\mathrm{i}),(\mathrm{q})-(\mathrm{iii}),(\mathrm{r})-(\mathrm{ii})$
Arjun
asked
in
Algorithms
Feb 16
by
Arjun
761
views
gate-ds-ai-2024
algorithms
match-the-following
0
votes
1
answer
103
GATE DS&AI 2024 | Question: 7
Consider the dataset with six datapoints: $\left\{\left(\text{x}_{1}, \text{y}_{1}\right),\left(\text{x}_{2}, \text{y}_{2}\right), \ldots,\left(\text{x}_{6}, \text{y}_{6}\right)\right\}$ ... $\left\{x_{4}, x_{5}\right\}$ $\left\{x_{1}, x_{2}, x_{3}, x_{4}\right\}$
Arjun
asked
in
Others
Feb 16
by
Arjun
639
views
gate-ds-ai-2024
0
votes
1
answer
104
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 ... $(\mathrm{p})-(\mathrm{iii}),(\mathrm{q})-(\mathrm{ii}),(\mathrm{r})-(\mathrm{i})$
Arjun
asked
in
Others
Feb 16
by
Arjun
1.1k
views
gate-ds-ai-2024
0
votes
2
answers
105
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 $\left[\begin{array}{c}-1 \\ 1\end{array}\right]$ ... $\left[\begin{array}{l}2 \\ 0\end{array}\right]$ $\left[\begin{array}{l}0 \\ 1\end{array}\right]$
Arjun
asked
in
Others
Feb 16
by
Arjun
755
views
gate-ds-ai-2024
0
votes
1
answer
106
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 $2^{K}+1$ $2 K+1$ $2^{K+1}+1$ $K^{2}+1$
Arjun
asked
in
Others
Feb 16
by
Arjun
796
views
gate-ds-ai-2024
0
votes
1
answer
107
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 ... $\frac{1}{1-\alpha}$ $1+\frac{\alpha}{2}$ $\frac{1}{1+\alpha}$
Arjun
asked
in
DS
Feb 16
by
Arjun
693
views
gate-ds-ai-2024
data-structures
hashing
uniform-hashing
0
votes
1
answer
108
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 $u^{*} \in \mathbb{R}^{d}$, ... $S_{B} S_{W} u^{*}=\lambda u^{*}$ $u^{* T} u^{*}=\lambda^{2}$
Arjun
asked
in
Others
Feb 16
by
Arjun
462
views
gate-ds-ai-2024
0
votes
1
answer
109
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? $h_{1}+h_{2}$ $h_{1} \times h_{2}$ $h_{1} / h_{2},\left(h_{2} \neq 0\right)$ $\left|h_{1}-h_{2}\right|$
Arjun
asked
in
Artificial Intelligence
Feb 16
by
Arjun
788
views
gate-ds-ai-2024
artificial-intelligence
0
votes
2
answers
110
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 $W$
Arjun
asked
in
Others
Feb 16
by
Arjun
821
views
gate-ds-ai-2024
0
votes
1
answer
111
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
Arjun
asked
in
Others
Feb 16
by
Arjun
659
views
gate-ds-ai-2024
0
votes
1
answer
112
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 $)=\phi$
Arjun
asked
in
Others
Feb 16
by
Arjun
877
views
gate-ds-ai-2024
0
votes
1
answer
113
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? $0.217$ $0.476$ $0.623$ $2.304$
Arjun
asked
in
Others
Feb 16
by
Arjun
671
views
gate-ds-ai-2024
0
votes
1
answer
114
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? $\text{(i) and (ii)}$ $\text{(ii) and (iii)}$ $\text{(i) and (iii)}$ $\text{(ii) only}$
Arjun
asked
in
Others
Feb 16
by
Arjun
1.0k
views
gate-ds-ai-2024
0
votes
1
answer
115
GATE DS&AI 2024 | Question: 19
Let $x$ and $y$ be two propositions. Which of the following statements is a tautology /are tautologies? $(\neg x \wedge y) \Rightarrow(y \Rightarrow x)$ $(x \wedge \neg y) \Rightarrow(\neg x \Rightarrow y)$ $(\neg x \wedge y) \Rightarrow(\neg x \Rightarrow y)$ $(x \wedge \neg y) \Rightarrow(y \Rightarrow x)$
Arjun
asked
in
Others
Feb 16
by
Arjun
758
views
gate-ds-ai-2024
0
votes
3
answers
116
GATE DS&AI 2024 | Question: 20
Consider sorting the following array of integers in ascending order using an inplace Quicksort algorithm that uses the last element as the pivot. \begin{array}{|l|l|l|l|l|} \hline 60 & 70 & 80 & 90 & 100 \\ \hline \end{array} The minimum number of swaps performed during this Quicksort is $\_\_\_\_\_\_\_\_$.
Arjun
asked
in
Algorithms
Feb 16
by
Arjun
1.2k
views
gate-ds-ai-2024
numerical-answers
algorithms
quick-sort
0
votes
2
answers
117
GATE DS&AI 2024 | Question: 21
Consider the following two tables named Raider and Team in a relational database maintained by a Kabaddi league. The attribute ID in table Team references the primary key of the Raider table, ID. Raider ID Name Raids RaidPoints $1$ Arjun $200$ $250$ $2$ ... Jaipur" AND RaidPoints > 200; The number of rows returned by this query is $\_\_\_\_\_\_\_\_$.
Arjun
asked
in
Databases
Feb 16
by
Arjun
804
views
gate-ds-ai-2024
numerical-answers
databases
sql
0
votes
1
answer
118
GATE DS&AI 2024 | Question: 22
The fundamental operations in a double-ended queue $D$ are: insertFirst (e) - Insert a new element $e$ at the beginning of $D$. insertLast (e) - Insert a new element $e$ at the end of D. removeFirst () - Remove and return the first element of $D$. removeLast () ... $\mathbf{a} \leftarrow$ removeLast () The value of $\mathbf{a}$ is $\_\_\_\_\_\_\_\_$.
Arjun
asked
in
DS
Feb 16
by
Arjun
667
views
gate-ds-ai-2024
numerical-answers
data-structures
0
votes
1
answer
119
GATE DS&AI 2024 | Question: 23
Let $f: \mathbb{R} \rightarrow \mathbb{R}$ be the function $f(x)=\frac{1}{1+e^{-x}}$. The value of the derivative of $f$ at $x$ where $f(x)=0.4$ is $\_\_\_\_\_\_\_$. (rounded off to two decimal places). Note: $\mathbb{R}$ denotes the set of real numbers.
Arjun
asked
in
Others
Feb 16
by
Arjun
677
views
gate-ds-ai-2024
numerical-answers
0
votes
2
answers
120
GATE DS&AI 2024 | Question: 24
The sample average of $50$ data points is $40$. The updated sample average after including a new data point taking the value of $142$ is $\_\_\_\_\_\_\_\_$.
Arjun
asked
in
Others
Feb 16
by
Arjun
688
views
gate-ds-ai-2024
numerical-answers
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