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Recent questions tagged gateda-sample-paper-2024

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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 1
Let $\text{b}$ be the branching factor of a search tree. If the optimal goal is reached after $\text{d}$ actions from the initial state, in the worst case, how many times will the initial state be expanded for iterative deepening depth-first ... $\text{IDDFS}$ $\text{-b}^{d}, \mathrm{IDA}^{*}\text{-b}^{d}$.

admin asked in Others Oct 21, 2023

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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 2
Given $3$ literals $\text{A, B}$, and $\text{C}$, how many models are there for the sentence $\text{A $\vee$ $\neg$ B $\vee$ C}$ ?

admin asked in Others Oct 21, 2023

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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 3
Which of the following first-order logic sentence matches closest with the sentence "All students are not equal"? ...

admin asked in Others Oct 21, 2023

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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 4
The mean of the observations of the first $50$ observations of a process is $12$. If the $51$ $\text{st}$ observation is $18$, then, the mean of the first $51$ observations of the process is $12$ $12.12$ $12.36$ $18$

admin asked in Others Oct 21, 2023

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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 5
$\lim _{x \rightarrow 2} \frac{\sqrt{x}-\sqrt{2}}{x-2}$ $0$ $\sqrt{2}$ $\frac{1}{2 \sqrt{2}}$ $\frac{1}{\sqrt{2}}$

admin asked in Calculus Oct 21, 2023

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6 answers

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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 6
Which among the following may help to reduce overfitting demonstrated by a model Change the loss function. Reduce model complexity. Increase the training data. Increase the number of optimization routine steps. $\text{ii and i}$ $\text{ii and iii}$ $\text{i, ii, and iii}$ $\text{i, ii, iii, and iv}$

admin asked in Others Oct 21, 2023

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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 7
A fair coin is flipped twice and it is known that at least one tail is observed. The probability of getting two tails is $\frac{1}{2}$ $\frac{1}{3}$ $\frac{2}{3}$ $\frac{1}{4}$

admin asked in Probability Oct 21, 2023

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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 8
Given $\mathrm{n}$ indistinguishable particles and $m(>n)$ distinguishable boxes, we place at random each particle in one of the boxes. The probability that in $\mathrm{n}$ ... $\frac{1}{m^{n}}$ $\frac{1}{m}$

admin asked in Others Oct 21, 2023

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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 9
For two events $\text{A}$ and $\text{B}$, $\text{B}$ $\subset$ $\text{A}$ Which of the following statement is correct? $P(B \mid A) \geq P(B)$ $P(B \mid A) \leq P(B)$ $P(A \mid B)<1$ $P(A \mid B)=0$

admin asked in Others Oct 21, 2023

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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 10
$\mathrm{X}$ is a uniform distribution random variable with support in $[-2,2] \mathrm{U}[99.5$, $100.5]$. The mean of $\mathrm{X}$ is __________.

admin asked in Others Oct 21, 2023

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11

GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 11
You are reviewing four papers submitted to a conference on machine learning for medical expert systems. All the four papers validate their superiority on a standard benchmarking cancer dataset, which has only $5 \%$ of positive cancer ... $\text{paper ii and paper iv}$ $\text{paper iii}$

admin asked in Others Oct 21, 2023

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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 12
Increasing the regularizing coefficient value for a ridge regressor will Increase or maintain model bias. Decrease model bias. Increase or maintain model variance. Decrease model variance $\text{i and iii}$ $\text{i and iv}$ $\text{ii and iii}$ $\text{ii and iv}$

admin asked in Others Oct 21, 2023

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4 answers

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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 13
A decision tree classifier learned from a fixed training set achieves $100 \%$ accuracy. Which of the following models trained using the same training set will also achieve $100 \%$ accuracy? i) Logistic regressor. ii) A ... Naïve Bayes classifier. $\text{i}$ $\text{i and ii}$ all of the above none of the above

admin asked in Others Oct 21, 2023

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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 14
Consider two relations $\mathrm{R}(\mathrm{x}, \mathrm{y})$ and $\mathrm{S}(\mathrm{x}, \mathrm{z})$. Relation $\mathrm{R}$ has $100$ records, and relation $\mathrm{S}$ has $200$ records. What ... attributes, $20000$ records $4$ attributes, $20000$ records $3$ attributes, $200$ records $4$ attributes, $200$ records

admin asked in Others Oct 21, 2023

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15

GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 15
Consider two relations $\mathrm{R}(\mathrm{x}, \mathrm{y})$ and $\mathrm{S}(\mathrm{y})$, and perform the following operation. $\text{R(x, y) DIVIDE S(Y)}$ If $\mathrm{X}$ is the relation returns by the above operation, which of the ... $|X| \leq|S|$ $|X| \leq|R|$ AND $|X| \leq|S|$ All of the Above

admin asked in Others Oct 21, 2023

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16

GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 16
Which of the following statements is/are TRUE? Every relation with two attributes is also in $\mathrm{BCNF}$. Every relation in $\mathrm{BCNF}$ is also in $3 \mathrm{NF}$. No relation can be in both $\mathrm{BCNF}$ and $3 \mathrm{NF}$. None of Above

admin asked in Others Oct 21, 2023

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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 17
For matrix $H=\left[\begin{array}{cc}9 & -2 \\ -2 & 6\end{array}\right]$, one of the eigenvalues is $5$. Then, the other eigenvalue is $12$ $10$ $8$ $6$

admin asked in Linear Algebra Oct 21, 2023

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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 18
Two non-zero vectors $\mathbf{x}$ and $\mathbf{y}$ are perpendicular if $\mathbf{x}^{\mathrm{T}} \mathbf{y}=0$ $\mathbf{x}^{\mathrm{T}} \mathbf{y}>0$ $\mathbf{x}^{\mathrm{T}} \mathbf{y}<0$ None of the above.

admin asked in Others Oct 21, 2023

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19

GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 19
The function $f(x)=1+x+x^{2}$ has a Minima at $x=-0.5$ Maxima at $x=-0.5$ Saddle point at at $x=-0.5$ None of the above.

admin asked in Others Oct 21, 2023

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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 20
The Pearson's correlation coefficient between $\mathrm{x}$ and $\mathrm{y}$ rounded to the first decimal point for the given data in below table is: $\mathbf{x}$ $\mathbf{y}$ $-6$ $6.4$ $2$ $4.7$ $0.2$ $8$ $7$ $2$ $-4$ $3.4$ $-0.5$ $0.5$ $0.3$ $-0.3$

admin asked in Others Oct 21, 2023

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21

GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 21
The worst-case running times of Insertion sort, Merge sort and Quick sort respectively are $\Theta(n\operatorname{logn}), \Theta\left(n^{\wedge} 2\right), \Theta\left(n^{\wedge} 2\right)$ ... $\Theta\left(n^{\wedge} 2\right), \Theta\left(n^{\wedge} 2\right), \Theta(n\operatorname{logn})$

admin asked in Others Oct 21, 2023

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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 22
Consider the following program. int func(int n ) { if (n<=1) return n; else return 3 * func(n-3) - 3 * func(n-2); end } The running time of the above function is $\Theta(\mathrm{n})$ $\Theta\left(n^{\wedge} 2\right)$ $\Theta\left(3^{\wedge} n\right)$ $\Theta\left(2^{\wedge} n\right)$

admin asked in Others Oct 21, 2023

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23

GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 23
Which of the following correctly describes the recurrence relation for the standard binary search algorithm on a sorted array of $\mathrm{n}$ numbers where $\mathrm{c}$ ... $\mathrm{T}(\mathrm{n})=\mathrm{T}(\mathrm{n} / 2)+\mathrm{c}$

admin asked in Others Oct 21, 2023

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24

GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 24
Consider the following $\mathrm{C}$ program int func(int A[], int n, int m ) { int s= A[0]; for(int i = 1 ; i<= n - 1 ; i ++) total = m * s+ A[i]; return m; } Let $\text{Z}$ be an array of $10$ ... $\text{i}$ such that $0<=i<=9$; The value returned by func $(\text{Z}, 10,2)$ is __________.

admin asked in Others Oct 21, 2023

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25

GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 25
Two eigenvalues of $3 \times 3$ matrix $\mathbf{X}$ are $(1+i)$ and $2$. The determinant of the text matrix $\mathrm{X}$ is __________.

admin asked in Others Oct 21, 2023

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26

GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 26
Given the following relation instances $\text{X}$ $\text{Y}$ $\text{Z}$ $1$ $4$ $2$ $1$ $5$ $3$ $1$ $4$ $3$ $1$ $5$ $2$ $3$ $2$ $1$ ... $\mathrm{Y} ->>\mathrm{X}$ $\mathrm{XZ}->\mathrm{Y}$ and $\mathrm{Y}->\mathrm{X}$

admin asked in Databases Oct 21, 2023

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27

GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 27
Consider the search space depicted in the Figure below. $\text{S}$ is the initial state. $\text{G1}$ and $\text{G2}$ are two states that satisfy the goal test. The cost of traversing from one state to another is depicted by the numerical ... $16$ $\text{G1}$ and $15$ $\text{G2}$ and $16$ $\mathrm{G}2$ and $15$

admin asked in Others Oct 21, 2023

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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 28
Given a discrete $\text{K}$-class dataset containing $\text{N}$ points, where sample points are described using $\text{D}$ features with each feature capable of taking $\text{V}$ values, how many parameters need to be estimated for Naïve Bayes Classifier? $V^{D} K$ $K^{V^{D}}$ $\text{VDK}$ $\text{K(V + D)}$

admin asked in Others Oct 21, 2023

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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 29
$K\left(x, x^{\prime}\right)=f(x) g\left(x^{\prime}\right)+f\left(x^{\prime}\right) g(x)$, where $f$ and $g$ are real-valued functions $\left(\mathcal{R}^{D} \rightarrow \mathcal{R}\right)$ is not a valid kernel ... $f\left(x^{\prime}\right)+g\left(x^{\prime}\right)$

admin asked in Others Oct 21, 2023

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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 30
For perfectly spherical $2\text{D}$ data centered at the origin, which of the following the pairs of vectors are possible pairs of principal components? $(1,0)$ and $(0,1)$ $(0,-1)$ and $(-1,0)$ $(1,1)$ and $(1,-1)$ $(-1,1)$ and $(-1,-1)$ $\text{i}$ $\text{i and iii}$ $\text{i, ii, and iii}$ $\text{i, ii, iii and iv}$

admin asked in Others Oct 21, 2023

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Recent questions tagged gateda-sample-paper-2024