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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}$ ?
Given $3$ literals $\text{A, B}$, and $\text{C}$, how many models are there for the sentence $\text{A $\vee$ $\neg$ B $\vee$ C}$ ?
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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
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 achie...
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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"? ...
Which of the following first-order logic sentence matches closest with the sentence "All students are not equal"?$\forall x \exists y[\operatorname{student}(x) \wedge \op...
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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 __________.
$\mathrm{X}$ 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: 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. $\text{ii and i}$ $\text{ii and iii}$ $\text{i, ii, and iii}$ $\text{i, ii, iii, and iv}$
Which among the following may help to reduce overfitting demonstrated by a modelChange the loss function. Reduce model complexity.Increase the training data.Increase the ...
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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 $\mathrm{n}$ ... $\frac{1}{m^{n}}$ $\frac{1}{m}$
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...
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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: 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? $V^{D} K$ $K^{V^{D}}$ $\text{VDK}$ $\text{K(V + D)}$
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 $\...
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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 31
Consider the game tree shown below. The value below each node is the output of the utility function. The subtrees rooted at which of these nodes will be pruned because of alpha-beta pruning? $\text{m and j}$ $\text{r and j}$ $\text{h and p}$ no nodes are pruned
Consider the game tree shown below. The value below each node is the output of the utility function. The subtrees rooted at which of these nodes will be pruned because of...
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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
Consider two relations $\mathrm{R}(\mathrm{x}, \mathrm{y})$ and $\mathrm{S}(\mathrm{x}, \mathrm{z})$. Relation $\mathrm{R}$ has $100$ records, and relation $\mathrm{S}$ h...
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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: 43
Consider a Multi-Layer Perceptron $\text{(MLP)}$ model with one hidden layer and one output layer. The hidden layer has $10$ neurons, and the output layer has $3$ ... function used is the sigmoid function. Calculate the total number of trainable parameters in this $\text{MLP}$ model.
Consider a Multi-Layer Perceptron $\text{(MLP)}$ model with one hidden layer and one output layer. The hidden layer has $10$ neurons, and the output layer has $3$ neurons...
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GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 35
Given a smooth sufficiently differentiable function, the following statements are given (P) A concave function can have a global minimum (Q) All convex functions have a global minimum $\text{P}$ and $\text{Q}$ are true $\text{P}$ is ... $\text{P}$ is false and $\text{Q}$ is true $\text{P}$ and $\text{Q}$ are false
Given a smooth sufficiently differentiable function, the following statements are given(P) A concave function can have a global minimum(Q) All convex functions have a glo...
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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: 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: 45
A class contains $60 \%$ students who are incapable of changing their opinions about anything, and $40 \%$ of students are changing their minds at random, with probability $0.3$, between subsequent votes on the same issue. Then, the probability of a student randomly chosen voted twice in the same way is ____________.
A class contains $60 \%$ students who are incapable of changing their opinions about anything, and $40 \%$ of students are changing their minds at random, with probabilit...
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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: 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: 32
Consider the Bayes Net containing four Boolean random variables $\text{(A, B, C, D)}$, with the following convention: $A=$ True $\Rightarrow A=a$, and $A=$ False $\Rightarrow A=$ $\neg a$; and similarly for the other variables. The conditional ...
Consider the Bayes Net containing four Boolean random variables $\text{(A, B, C, D)}$, with the following convention: $A=$ True $\Rightarrow A=a$, and $A=$ False $\Righta...
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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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