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41
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 __________.
$\mathrm{X}$ is a uniform distribution random variable with support in $[-2,2] \mathrm{U}[99.5$, $100.5]$. The mean of $\mathrm{X}$ is __________.
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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: 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 $\text{i and iii}$ $\text{i and iv}$ $\text{ii and iii}$ $\text{ii and iv}$
Increasing the regularizing coefficient value for a ridge regressor willIncrease or maintain model bias.Decrease model bias.Increase or maintain model variance.Decrease m...
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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
Consider two relations $\mathrm{R}(\mathrm{x}, \mathrm{y})$ and $\mathrm{S}(\mathrm{y})$, and perform the following operation. ...
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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$$\mathbf{x}^{\mathrm{T}} \mathbf{y}>0$ $\mathbf{x}^{\mathrm{...
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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 19
The function $f(x)=1+x+x^{2}$ has a Minima at $x=-0.5$ Maxima at $x=-0.5$ Saddle point at at $x=-0.5$ None of the above.
The function $f(x)=1+x+x^{2}$ has aMinima at $x=-0.5$Maxima at $x=-0.5$Saddle point at at $x=-0.5$None of the above.
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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 20
The Pearson's correlation coefficient between $\mathrm{x}$ and $\mathrm{y}$ rounded to the first decimal point for the given data in below table is: $\mathbf{x}$ $\mathbf{y}$ $-6$ $6.4$ $2$ $4.7$ $0.2$ $8$ $7$ $2$ $-4$ $3.4$ $-0.5$ $0.5$ $0.3$ $-0.3$
The Pearson's correlation coefficient between $\mathrm{x}$ and $\mathrm{y}$ rounded to the first decimal point for the given data in below table is:$\mathbf{x}$$\mathbf{y...
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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 $\Theta(n\operatorname{logn}), \Theta\left(n^{\wedge} 2\right), \Theta\left(n^{\wedge} 2\right)$ ... $\Theta\left(n^{\wedge} 2\right), \Theta\left(n^{\wedge} 2\right), \Theta(n\operatorname{logn})$
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^{\...
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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: 25
Two eigenvalues of $3 \times 3$ matrix $\mathbf{X}$ are $(1+i)$ and $2$. The determinant of the text matrix $\mathrm{X}$ is __________.
Two eigenvalues of $3 \times 3$ matrix $\mathbf{X}$ are $(1+i)$ and $2$. The determinant of the text matrix $\mathrm{X}$ is __________.
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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 $15$
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 o...
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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 $(-1,-1)$ $\text{i}$ $\text{i and iii}$ $\text{i, ii, and iii}$ $\text{i, ii, iii and iv}$
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)...
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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 40
A file with $100,000$ records is indexed with $\mathrm{B}+$ tree. If the size of a memory block is $2 \mathrm{~K}$ bytes, the size of a key is $4$ bytes, the size of a pointer is $4$ bytes, what ... the nodes, only keys are stored. The sizes of the pointers are same, irrespective of they point to a node of a record.
A file with $100,000$ records is indexed with $\mathrm{B}+$ tree. If the size of a memory block is $2 \mathrm{~K}$ bytes, the size of a key is $4$ bytes, the size of a po...
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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 47
Let $\{\mathrm{O} 1, \mathrm{O} 2, \mathrm{O} 3, \mathrm{O} 4\}$ ... $\text{R}$ and $\text{S}$ are independent $\text{Q}$ and $\text{S}$ are not independent
Let $\{\mathrm{O} 1, \mathrm{O} 2, \mathrm{O} 3, \mathrm{O} 4\}$ represent the outcome of a random experiment, with $\mathrm{P}(\{\mathrm{O} 1\})=\mathrm{P}(\{\mathrm{O} ...
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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 49
What is the output of the following program? int i=1, j = 1; for (;i<=10 ; i ++) { if (i % 3 !=0){j + = 2; continue;} if (j % 3 == 0) break; } printf("%d", i + j); $3$ $5$ $12$ $15$
What is the output of the following program?int i=1, j = 1; for (;i<=10 ; i ++) { if (i % 3 !=0){j + = 2; continue;} if (j % 3 == 0) break; } printf("%d", i + j);$3$ $5$$...
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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 52
Consider the following undirected graph on $5$ nodes. Assume you are performing breadth-first search on this graph using a queue data structure. How many unique breadth first orderings are possible on this graph? $9$ $24$ $48$ $120$
Consider the following undirected graph on $5$ nodes.Assume you are performing breadth-first search on this graph using a queue data structure. How many unique breadth fi...
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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 55
Consider the following relational schema: employee (empId, empName, empDept) customer (custId, custName, salesRepId, rating) salesRepId is a foreign key referring to empId of the employee relation. Assume that each ... ; rating. Names of all the employees with all their customers having a 'GOOD' rating.
Consider the following relational schema:employee (empId, empName, empDept) customer (custId, custName, salesRepId, rating)salesRepId is a foreign key referring to empId ...
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NIELIT 2023 Feb Scientist C | Section A | Question: 6
Complete the series $\text{E-5, G-7, I-9, K-11}$,... ? $\text{L-13, N-14}$ $\mathrm{M}-13, \mathrm{O}-15$ $\text{L-12, M-14}$ $\mathrm{K}-12, \mathrm{M}-14$
Complete the series $\text{E-5, G-7, I-9, K-11}$,... ?$\text{L-13, N-14}$$\mathrm{M}-13, \mathrm{O}-15$$\text{L-12, M-14}$$\mathrm{K}-12, \mathrm{M}-14$
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NIELIT 2023 Feb Scientist C | Section A | Question: 10
A woman Manpreet asks a man Harpreet, "You are the brother of my uncle's daughter. How are you related to me?". What was the man's answer? Cousin Son Brother-in-law Nephew
A woman Manpreet asks a man Harpreet, "You are the brother of my uncle's daughter. How are you related to me?". What was the man's answer?CousinSonBrother-in-lawNephew
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NIELIT 2023 Feb Scientist D | Section A | Question: 7
In the following question, some groups of letters are given, all of which except one, share a common similarity while one is different. Select the odd one. $\text{DFHB}$ $\mathrm{KMOJ}$ $\text{PRTN}$ $\text{XZBV}$
In the following question, some groups of letters are given, all of which except one, share a common similarity while one is different. Select the odd one.$\text{DFHB}$$\...
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