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Recent questions tagged gate-ds-ai-2024
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votes
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GATE DS&AI 2024 | GA Question: 1
If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words [sick $\rightarrow$ infirm $\rightarrow$ moribund] is analogous to [silly $\rightarrow \_\_\_\_\_\_\_ \longrightarrow$ daft]. Which one of the given options is appropriate to fill the blank? frown fawn vein vain
If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words [sick $\rightarrow$ infirm $\rightarrow$ moribund] is analogous t...
Arjun
4.1k
views
Arjun
asked
Feb 16
Verbal Aptitude
gate-ds-ai-2024
verbal-aptitude
most-appropriate-word
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0
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4
answers
2
GATE DS&AI 2024 | GA Question: 2
The $15$ parts of the given figure are to be painted such that no two adjacent parts with shared boundaries (excluding corners) have the same color. The minimum number of colors required is $4$ $3$ $5$ $6$
The $15$ parts of the given figure are to be painted such that no two adjacent parts with shared boundaries (excluding corners) have the same color. The...
Arjun
3.4k
views
Arjun
asked
Feb 16
Quantitative Aptitude
gate-ds-ai-2024
quantitative-aptitude
graph-coloring
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–
0
votes
4
answers
3
GATE DS&AI 2024 | GA Question: 3
How many $4$-digit positive integers divisible by $3$ can be formed using only the digits $\{1,3,4,6,7\}$, such that no digit appears more than once in a number? $24$ $48$ $72$ $12$
How many $4$-digit positive integers divisible by $3$ can be formed using only the digits $\{1,3,4,6,7\}$, such that no digit appears more than once in a number?$24$$48$$...
Arjun
2.2k
views
Arjun
asked
Feb 16
Quantitative Aptitude
gate-ds-ai-2024
quantitative-aptitude
permutation-and-combination
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3
votes
3
answers
4
GATE DS&AI 2024 | GA Question: 4
The sum of the following infinite series is \[ 2+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{8}+\frac{1}{9}+\frac{1}{16}+\frac{1}{27}+\cdots \] $11 / 3$ $7 / 2$ $13 / 4$ $9 / 2$
The sum of the following infinite series is\[2+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{8}+\frac{1}{9}+\frac{1}{16}+\frac{1}{27}+\cdots\]$11 / 3$$7 ...
Arjun
1.5k
views
Arjun
asked
Feb 16
Quantitative Aptitude
gate-ds-ai-2024
quantitative-aptitude
sequence-series
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1
votes
4
answers
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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$
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 t...
Arjun
1.7k
views
Arjun
asked
Feb 16
Quantitative Aptitude
gate-ds-ai-2024
quantitative-aptitude
pie-chart
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1
votes
2
answers
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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 the ... of dairy milk is essential for human beings. In human beings, digestion of dairy milk resulted from a mutated gene.
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 de...
Arjun
1.6k
views
Arjun
asked
Feb 16
Analytical Aptitude
gate-ds-ai-2024
analytical-aptitude
logical-reasoning
statements-follow
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0
votes
4
answers
7
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$
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$$...
Arjun
2.6k
views
Arjun
asked
Feb 16
Quantitative Aptitude
gate-ds-ai-2024
quantitative-aptitude
probability
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–
0
votes
2
answers
8
GATE DS&AI 2024 | GA Question: 8
Person $1$ and Person $2$ invest in three mutual funds $\text{A, B}$, and $\text{C}$ ... $\mathrm{A}$? $7.5 \%$ $10 \%$ $15 \%$ $20 \%$
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 th...
Arjun
1.4k
views
Arjun
asked
Feb 16
Quantitative Aptitude
gate-ds-ai-2024
quantitative-aptitude
compound-interest
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–
0
votes
1
answer
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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
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
1.3k
views
Arjun
asked
Feb 16
Spatial Aptitude
gate-ds-ai-2024
spatial-aptitude
image-rotation
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0
votes
3
answers
10
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
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 thro...
Arjun
2.2k
views
Arjun
asked
Feb 16
Spatial Aptitude
gate-ds-ai-2024
spatial-aptitude
patterns-in-three-dimensions
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1
votes
1
answer
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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
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...
Arjun
1.3k
views
Arjun
asked
Feb 16
Probability
gate-ds-ai-2024
probability
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0
votes
1
answer
12
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 $T \cap S$? $0$ $0.5$ $0.25$ $1$
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 tai...
Arjun
1.0k
views
Arjun
asked
Feb 16
Probability
gate-ds-ai-2024
probability
independent-events
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–
1
votes
1
answer
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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.
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...
Arjun
1.1k
views
Arjun
asked
Feb 16
Linear Algebra
gate-ds-ai-2024
eigen-value
linear-algebra
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0
votes
1
answer
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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
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 o...
Arjun
875
views
Arjun
asked
Feb 16
Algorithms
gate-ds-ai-2024
graph-search
depth-first-search
algorithms
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0
votes
1
answer
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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
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}\lef...
Arjun
900
views
Arjun
asked
Feb 16
Others
gate-ds-ai-2024
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0
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2
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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{(i)} & \text{ ... $(\mathrm{p})-(\mathrm{i}),(\mathrm{q})-(\mathrm{iii}),(\mathrm{r})-(\mathrm{ii})$
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} \\\...
Arjun
856
views
Arjun
asked
Feb 16
DS
gate-ds-ai-2024
data-structures
match-the-following
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0
votes
1
answer
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GATE DS&AI 2024 | Question: 7
Consider the dataset with six datapoints: $\left\{\left(\text{x}_{1}, \text{y}_{1}\right),\left(\text{x}_{2}, \text{y}_{2}\right), \ldots,\left(\text{x}_{6}, \text{y}_{6}\right)\right\}$ ... $\left\{x_{4}, x_{5}\right\}$ $\left\{x_{1}, x_{2}, x_{3}, x_{4}\right\}$
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}...
Arjun
716
views
Arjun
asked
Feb 16
Others
gate-ds-ai-2024
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–
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1
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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 ... $(\mathrm{p})-(\mathrm{iii}),(\mathrm{q})-(\mathrm{ii}),(\mathrm{r})-(\mathrm{i})$
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 \t...
Arjun
1.1k
views
Arjun
asked
Feb 16
Others
gate-ds-ai-2024
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–
0
votes
2
answers
19
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 $\left[\begin{array}{c}-1 \\ 1\end{array}\right]$ ... $\left[\begin{array}{l}2 \\ 0\end{array}\right]$ $\left[\begin{array}{l}0 \\ 1\end{array}\right]$
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...
Arjun
864
views
Arjun
asked
Feb 16
Others
gate-ds-ai-2024
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0
votes
1
answer
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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 $2^{K}+1$ $2 K+1$ $2^{K+1}+1$ $K^{2}+1$
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 learn...
Arjun
961
views
Arjun
asked
Feb 16
Others
gate-ds-ai-2024
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–
1
votes
1
answer
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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 ... $\frac{1}{1-\alpha}$ $1+\frac{\alpha}{2}$ $\frac{1}{1+\alpha}$
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 wi...
Arjun
888
views
Arjun
asked
Feb 16
DS
gate-ds-ai-2024
data-structures
hashing
uniform-hashing
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–
0
votes
1
answer
22
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 $u^{*} \in \mathbb{R}^{d}$, ... $S_{B} S_{W} u^{*}=\lambda u^{*}$ $u^{* T} u^{*}=\lambda^{2}$
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-c...
Arjun
555
views
Arjun
asked
Feb 16
Others
gate-ds-ai-2024
+
–
0
votes
1
answer
23
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? $h_{1}+h_{2}$ $h_{1} \times h_{2}$ $h_{1} / h_{2},\left(h_{2} \neq 0\right)$ $\left|h_{1}-h_{2}\right|$
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_...
Arjun
1.0k
views
Arjun
asked
Feb 16
Artificial Intelligence
gate-ds-ai-2024
artificial-intelligence
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–
0
votes
2
answers
24
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 $W$
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...
Arjun
971
views
Arjun
asked
Feb 16
Others
gate-ds-ai-2024
+
–
0
votes
1
answer
25
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
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 choic...
Arjun
731
views
Arjun
asked
Feb 16
Others
gate-ds-ai-2024
+
–
0
votes
1
answer
26
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 $)=\phi$
Consider a database that includes the following relations:Defender(name, rating, side, goals)Forward(name, rating, assists, goals)Team(name, club, price)Wh...
Arjun
978
views
Arjun
asked
Feb 16
Databases
gate-ds-ai-2024
relational-algebra
databases
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–
0
votes
1
answer
27
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? $0.217$ $0.476$ $0.623$ $2.304$
Let the minimum, maximum, mean and standard deviation values for the attribute income of data scientists be ₹$46000$, ₹ $170000$, ₹ $96000$, and ₹ ...
Arjun
812
views
Arjun
asked
Feb 16
Probability
gate-ds-ai-2024
statistics
probability
non-gate
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–
0
votes
1
answer
28
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? $\text{(i) and (ii)}$ $\text{(ii) and (iii)}$ $\text{(i) and (iii)}$ $\text{(ii) only}$
Consider the following tree traversals on a full binary tree:PreorderInorderPostorderWhich of the following traversal options is/are sufficient to uniqu...
Arjun
1.1k
views
Arjun
asked
Feb 16
DS
gate-ds-ai-2024
data-structures
binary-tree
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–
0
votes
1
answer
29
GATE DS&AI 2024 | Question: 19
Let $x$ and $y$ be two propositions. Which of the following statements is a tautology /are tautologies? $(\neg x \wedge y) \Rightarrow(y \Rightarrow x)$ $(x \wedge \neg y) \Rightarrow(\neg x \Rightarrow y)$ $(\neg x \wedge y) \Rightarrow(\neg x \Rightarrow y)$ $(x \wedge \neg y) \Rightarrow(y \Rightarrow x)$
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)$$...
Arjun
838
views
Arjun
asked
Feb 16
Mathematical Logic
gate-ds-ai-2024
mathematical-logic
propositional-logic
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–
0
votes
1
answer
30
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.
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 $\_\_\_\_\_\_\_$. (roun...
Arjun
742
views
Arjun
asked
Feb 16
Others
gate-ds-ai-2024
numerical-answers
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