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Recent questions tagged gate-ds-ai-2024

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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

Arjun asked in Verbal Aptitude Feb 16

by Arjun

3.9k views

0 votes

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 $4$ $3$ $5$ $6$

Arjun asked in Analytical Aptitude Feb 16

by Arjun

3.1k views

0 votes

4 answers

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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? $24$ $48$ $72$ $12$

Arjun asked in Quantitative Aptitude Feb 16

by Arjun

1.8k views

3 votes

3 answers

4

GATE DS&AI 2024 | GA Question: 4
The sum of the following infinite series is \[ 2+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{8}+\frac{1}{9}+\frac{1}{16}+\frac{1}{27}+\cdots \] $11 / 3$ $7 / 2$ $13 / 4$ $9 / 2$

Arjun asked in Quantitative Aptitude Feb 16

by Arjun

1.4k views

1 vote

4 answers

5

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

1 vote

2 answers

6

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

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? $3 / 8$ $1 / 8$ $1 / 4$ $1 / 2$

Arjun asked in Quantitative Aptitude Feb 16

by Arjun

2.3k views

0 votes

2 answers

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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

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

Arjun asked in Spatial Aptitude Feb 16

by Arjun

1.2k views

0 votes

3 answers

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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

0 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

Arjun asked in Probability Feb 16

by Arjun

1.2k views

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 $T \cap S$? $0$ $0.5$ $0.25$ $1$

Arjun asked in Others Feb 16

by Arjun

928 views

0 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.

Arjun asked in Others Feb 16

by Arjun

806 views

0 votes

1 answer

14

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

0 votes

1 answer

15

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

0 votes

2 answers

16

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

0 votes

1 answer

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GATE DS&AI 2024 | Question: 7
Consider the dataset with six datapoints: $\left\{\left(\text{x}_{1}, \text{y}_{1}\right),\left(\text{x}_{2}, \text{y}_{2}\right), \ldots,\left(\text{x}_{6}, \text{y}_{6}\right)\right\}$ ... $\left\{x_{4}, x_{5}\right\}$ $\left\{x_{1}, x_{2}, x_{3}, x_{4}\right\}$

Arjun asked in Others Feb 16

by Arjun

639 views

0 votes

1 answer

18

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

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 $\left[\begin{array}{c}-1 \\ 1\end{array}\right]$ ... $\left[\begin{array}{l}2 \\ 0\end{array}\right]$ $\left[\begin{array}{l}0 \\ 1\end{array}\right]$

Arjun asked in Others Feb 16

by Arjun

753 views

0 votes

1 answer

20

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

795 views

0 votes

1 answer

21

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

690 views

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 $u^{*} \in \mathbb{R}^{d}$, ... $S_{B} S_{W} u^{*}=\lambda u^{*}$ $u^{* T} u^{*}=\lambda^{2}$

Arjun asked in Others Feb 16

by Arjun

462 views

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? $h_{1}+h_{2}$ $h_{1} \times h_{2}$ $h_{1} / h_{2},\left(h_{2} \neq 0\right)$ $\left|h_{1}-h_{2}\right|$

Arjun asked in Artificial Intelligence Feb 16

by Arjun

787 views

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 $W$

Arjun asked in Others Feb 16

by Arjun

819 views

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

Arjun asked in Others Feb 16

by Arjun

659 views

0 votes

1 answer

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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

0 votes

3 answers

27

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

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2 answers

28

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

802 views

0 votes

1 answer

29

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

666 views

0 votes

1 answer

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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

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Recent questions tagged gate-ds-ai-2024