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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 $\Theta(\mathrm{n})$ $\Theta\left(n^{\wedge} 2\right)$ $\Theta\left(3^{\wedge} n\right)$ $\Theta\left(2^{\wedge} n\right)$
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(\ma...
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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 ... $\text{paper ii and paper iv}$ $\text{paper iii}$
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 bench...
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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 44
A company manufactures a product at the rate of $\text{P}$ units per day. The cost per unit in Rs is $\text{C=50+0.1 P+9000 / P}$. The selling price per unit is Rs. $300$. The production level minimizing the cost per unit and the total profit, respectively, are $300,1250$ $150,2500$ $300,2500$ $150,1250$
A company manufactures a product at the rate of $\text{P}$ units per day. The cost per unit in Rs is $\text{C=50+0.1 P+9000 / P}$. The selling price per unit is Rs. $300$...
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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 $12$ $12.12$ $12.36$ $18$
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 $51$ observatio...
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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 39
Consider a matrix $\left[\begin{array}{lll}0 & 1 & 0 \\ a & 2 & d \\ b & 3 & c\end{array}\right]$. The matrix cannot have rank. $0$ $1$ $2$ $3$
Consider a matrix $\left[\begin{array}{lll}0 & 1 & 0 \\ a & 2 & d \\ b & 3 & c\end{array}\right]$. The matrix cannot have rank.$0$$1$$2$$3$
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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 9
For two events $\text{A}$ and $\text{B}$, $\text{B}$ $\subset$ $\text{A}$ Which of the following statement is correct? $P(B \mid A) \geq P(B)$ $P(B \mid A) \leq P(B)$ $P(A \mid B)<1$ $P(A \mid B)=0$
For two events $\text{A}$ and $\text{B}$, $\text{B}$ $\subset$ $\text{A}$ Which of the following statement is correct?$P(B \mid A) \geq P(B)$ $P(B \mid A) \leq P(B)$$P(A ...
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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 46
Consider the grid world shown in the figure below. An agent is planning to move from the starting location $\left(x_s, y_s\right)$ to the final location $\left(x_f, y_f\right)$. The obstacles along the path are ... heuristic $h_c{ }^{\prime}$ is an admissible heuristic $h_r{ }^{\prime}$ is an admissible heuristic
Consider the grid world shown in the figure below. An agent is planning to move from the starting location $\left(x_s, y_s\right)$ to the final location $\left(x_f, y_f\r...
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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 38
Given a matrix $\mathbf{A}_{\mathrm{mxn}}$. The following statements are made regarding the matrix $\text{A}$. $\mathrm{P}$. The column space is orthogonal to the row space $\mathrm{Q}$. The column space is orthogonal to the left null ... $\text{R}$ $\text{Q}$ and $\text{R}$ $\text{P}$ and $\text{T}$
Given a matrix $\mathbf{A}_{\mathrm{mxn}}$. The following statements are made regarding the matrix $\text{A}$.$\mathrm{P}$. The column space is orthogonal to the row spac...
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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 34
The function $f(x)=1+2 x+3 x^{2}+\cdots+2026 x^{2025}$. Which of the following statement is true? $f(x)$ has global minimum $f(x)$ has global maximum $f(x)$ does not have global minimum None of the above
The function $f(x)=1+2 x+3 x^{2}+\cdots+2026 x^{2025}$. Which of the following statement is true?$f(x)$ has global minimum$f(x)$ has global maximum$f(x)$ does not have gl...
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UGCNET CSE December 2022: 1
The negation of "Some students like hockey" is: Some students dislike hockey Every student dislike hockey Every student like hockey All students like hockey (Option $1[39301]) 1$ (Option $2[39302]) 2$ (Option $3 [39303]) 3$ (Option $4[39304]) 4$ Answer Given by Candidate : $2$
The negation of "Some students like hockey" is:Some students dislike hockeyEvery student dislike hockeyEvery student like hockeyAll students like hockey(Option $1[39301])...
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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 53
Let $S^{2}$ be the variance of a random sample of size $n>1$ from a normal population with an unknown mean $\mu$ and an unknown finite variance $\sigma^{2}<\infty$. Consider the following statements: $\text{(I)}$ $S^{2}$ is ... $\text{(I)}$ and $\text{(II)}$ Neither $\text{(I)}$ nor $\text{(II)}$
Let $S^{2}$ be the variance of a random sample of size $n>1$ from a normal population with an unknown mean $\mu$ and an unknown finite variance $\sigma^{2}<\infty$.Consid...
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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 ... $f\left(x^{\prime}\right)+g\left(x^{\prime}\right)$
$K\left(x, x^{\prime}\right)=f(x) g\left(x^{\prime}\right)+f\left(x^{\prime}\right) g(x)$, where $f$ and $g$ are real-valued functions $\left(\mathcal{R}^{D} \rightarrow ...
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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 __________.
Consider the following $\mathrm{C}$ programint 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{...
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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
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 $3 \mathrm{NF}$.N...
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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 $\mathrm{c}$ ... $\mathrm{T}(\mathrm{n})=\mathrm{T}(\mathrm{n} / 2)+\mathrm{c}$
Which of the following correctly describes the recurrence relation for the standard binary search algorithm on a sorted array of $\mathrm{n}$ numbers where $\mathrm{c}$ i...
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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 50
Assume that $\text{S}$ is a stack and $\text{Q1}$ and $\text{Q2}$ are two Queues which support the Enqueue and Dequeue operations. Consider the following pseudo code for implementing the Pop and Push operation on $\text{S}$. Push(S, ... $\text{B, D}$- Enqueue $\text{A, D}$ - Enqueue $\text{B, C}$ - Dequeue
Assume that $\text{S}$ is a stack and $\text{Q1}$ and $\text{Q2}$ are two Queues which support the Enqueue and Dequeue operations. Consider the following pseudo code for ...
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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.
Two non-zero vectors $\mathbf{x}$ and $\mathbf{y}$ are perpendicular if $\mathbf{x}^{\mathrm{T}} \mathbf{y}=0$$\mathbf{x}^{\mathrm{T}} \mathbf{y}>0$ $\mathbf{x}^{\mathrm{...
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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 19
The function $f(x)=1+x+x^{2}$ has a Minima at $x=-0.5$ Maxima at $x=-0.5$ Saddle point at at $x=-0.5$ None of the above.
The function $f(x)=1+x+x^{2}$ has aMinima at $x=-0.5$Maxima at $x=-0.5$Saddle point at at $x=-0.5$None of the above.
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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 36
Consider the following joint distribution of random variables $\mathrm{X}$ and $\mathrm{Y}$ ... $\mathrm{X}$ is $1$. The mean of $\mathrm{Y}$ is $0.5$.
Consider the following joint distribution of random variables $\mathrm{X}$ and $\mathrm{Y}$: $f(x, y)=\left\{\begin{array}{cl}\frac{x\left(1+3 y^2\right)}{4}, & 0 \leq x ...
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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 33
$\mathrm{X}$ is a uniformly distributed random variable from $0$ to $1$ $ f(x)= \begin{cases}1, & 0 \leq x \leq 1 \\ 0, & \text { otherwise }\end{cases} $ The variance of $\mathrm{X}$ is $\frac{1}{2}$ $\frac{1}{3}$ $\frac{1}{4}$ $\frac{1}{12}$
$\mathrm{X}$ is a uniformly distributed random variable from $0$ to $1$$$f(x)= \begin{cases}1, & 0 \leq x \leq 1 \\ 0, & \text { otherwise }\end{cases}$$The variance of $...
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