Questions without a selected answer in Others

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#Doubt #GO+Gateoverflow test series
Anyone have taken two consecutive years of combine (GO+Go classes )Test series ? I wanted to know if question are repeated or all new question will be in 2025 test series of go classes ? Actually I purchased combine test series of go ... I will get All repeated question then my money will be lost ..So please help me in this regard @DeepakPoonia @SachinMittal 1

Anyone have taken two consecutive years of combine (GO+Go classes )Test series ? I wanted to know if question are repeated or all new question will be in 2025 test series...

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ENTJ007 asked Apr 2

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Test series
Is there any test series for pgee ece available

Is there any test series for pgee ece available

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Soymya asked Apr 1

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when the gate overflow test series for 2025 will avalilabe ?

35 views

jenilS7 asked Apr 1

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4

Chose the correct big- Θ expression to describe: T(N) = 8 T(N / 2) + 10 N Log(N/10) ;T(1) = c

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MennaTullah asked Mar 1

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I have completed my masters with a major in mathematics in 2020. I have appeared for GATE-DA 2024 but failed miserably. Should i go for GATE-DA 2025? Any help would be appreciated. Thank you.

100 views

Shadabamu asked Feb 27

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I have purchased the IIIT Hyderabad 2024 test series but i can't find the test series anywhere can any one help me

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Rohith Katkuri asked Feb 26

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Hello everyone, I am doing Btech in CSE with specialization in Data science I wanted to ask is it a eligible degree for admission in mtech of IITs (Is it considered the same as CSE Core) while admission

Rahul Sharma0408

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Rahul Sharma0408 asked Feb 20

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1 answer

8

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

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 tai...

983 views

Arjun asked Feb 16

1 votes

1 answer

9

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.

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...

949 views

Arjun asked Feb 16

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1 answer

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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

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 o...

826 views

Arjun asked Feb 16

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1 answer

11

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

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}\lef...

864 views

Arjun asked Feb 16

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1 answer

12

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

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}...

682 views

Arjun asked Feb 16

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1 answer

13

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 ... $(\mathrm{p})-(\mathrm{iii}),(\mathrm{q})-(\mathrm{ii}),(\mathrm{r})-(\mathrm{i})$

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 \t...

1.1k views

Arjun asked Feb 16

0 votes

2 answers

14

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

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...

802 views

Arjun asked Feb 16

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1 answer

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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 $2^{K}+1$ $2 K+1$ $2^{K+1}+1$ $K^{2}+1$

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 learn...

877 views

Arjun asked Feb 16

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1 answer

16

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

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-c...

496 views

Arjun asked Feb 16

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2 answers

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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 $W$

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...

885 views

Arjun asked Feb 16

0 votes

1 answer

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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

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 choic...

694 views

Arjun asked Feb 16

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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 $)=\phi$

Consider a database that includes the following relations:Defender(name, rating, side, goals)Forward(name, rating, assists, goals)Team(name, club, price)Wh...

909 views

Arjun asked Feb 16

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1 answer

20

GATE DS&AI 2024 | Question: 17
Let the minimum, maximum, mean and standard deviation values for the attribute income of data scientists be ₹$46000$, ₹ $170000$, ₹ $96000$, and ₹ $21000$, respectively. The $z$-score normalized income value of ₹ $106000$ is closest to which ONE of the following options? $0.217$ $0.476$ $0.623$ $2.304$

Let the minimum, maximum, mean and standard deviation values for the attribute income of data scientists be ₹$46000$, ₹ $170000$, ₹ $96000$, and ₹ ...

724 views

Arjun asked Feb 16

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1 answer

21

GATE DS&AI 2024 | Question: 18
Consider the following tree traversals on a full binary tree: Preorder Inorder Postorder Which of the following traversal options is/are sufficient to uniquely reconstruct the full binary tree? $\text{(i) and (ii)}$ $\text{(ii) and (iii)}$ $\text{(i) and (iii)}$ $\text{(ii) only}$

Consider the following tree traversals on a full binary tree:PreorderInorderPostorderWhich of the following traversal options is/are sufficient to uniqu...

1.1k views

Arjun asked Feb 16

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1 answer

22

GATE DS&AI 2024 | Question: 19
Let $x$ and $y$ be two propositions. Which of the following statements is a tautology /are tautologies? $(\neg x \wedge y) \Rightarrow(y \Rightarrow x)$ $(x \wedge \neg y) \Rightarrow(\neg x \Rightarrow y)$ $(\neg x \wedge y) \Rightarrow(\neg x \Rightarrow y)$ $(x \wedge \neg y) \Rightarrow(y \Rightarrow x)$

Let $x$ and $y$ be two propositions. Which of the following statements is a tautology /are tautologies?$(\neg x \wedge y) \Rightarrow(y \Rightarrow x)$$...

800 views

Arjun asked Feb 16

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1 answer

23

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.

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 $\_\_\_\_\_\_\_$. (roun...

712 views

Arjun asked Feb 16

0 votes

2 answers

24

GATE DS&AI 2024 | Question: 24
The sample average of $50$ data points is $40$. The updated sample average after including a new data point taking the value of $142$ is $\_\_\_\_\_\_\_\_$.

The sample average of $50$ data points is $40$. The updated sample average after including a new data point taking the value of $142$ is $\_\_\_\_\_\_\_\_$.

773 views

Arjun asked Feb 16

0 votes

1 answer

25

GATE DS&AI 2024 | Question: 25
Consider the $3 \times 3$ matrix $\boldsymbol{M}=\left[\begin{array}{lll}1 & 2 & 3 \\ 3 & 1 & 3 \\ 4 & 3 & 6\end{array}\right]$. The determinant of $\left(\boldsymbol{M}^{2}+12 \boldsymbol{M}\right)$ is $\_\_\_\_\_\_\_\_\_$.

Consider the $3 \times 3$ matrix $\boldsymbol{M}=\left[\begin{array}{lll}1 & 2 & 3 \\ 3 & 1 & 3 \\ 4 & 3 & 6\end{array}\right]$.The determinant of $\left(\boldsymbol{M}^{...

644 views

Arjun asked Feb 16

0 votes

1 answer

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GATE DS&AI 2024 | Question: 27
Let $f: \mathbb{R} \rightarrow \mathbb{R}$ be a function. Note: $\mathbb{R}$ denotes the set of real numbers. \[ f(x)=\left\{\begin{array}{cl} -x, & \text { if } x<-2 \\ a x^{2}+b x+c, & \text { if } x \in[-2,2] \\ x, & \text { if } x>2 \end ... differentiable? $a=\frac{1}{4}, b=0, c=1$ $a=\frac{1}{2}, b=0, c=0$ $a=0, b=0, c=0$ $a=1, b=1, c=-4$

Let $f: \mathbb{R} \rightarrow \mathbb{R}$ be a function. Note: $\mathbb{R}$ denotes the set of real numbers.\[f(x)=\left\{\begin{array}{cl}-x, & \text { i...

790 views

Arjun asked Feb 16

0 votes

2 answers

27

GATE DS&AI 2024 | Question: 29
Consider the function computes $(X)$ whose pseudocode is given below: computes $(X)$ $S[1] \leftarrow 1$ for $i \leftarrow 2$ to length $(X)$ $S[i] \leftarrow 1$ if $X[i-1] \leq X[i]$ $S[i] \leftarrow S[i]+S[i-1]$ end if end for return $S$ Which ONE of the following values is ... for $X=[6,3,5,4,10]$ ? $[1,1,2,3,4]$ $[1,1,2,3,3]$ $[1,1,2,1,2]$ $[1,1,2,1,5]$

Consider the function computes $(X)$ whose pseudocode is given below:computes $(X)$$S \leftarrow 1$for $i \leftarrow 2$ to length $(X)$$S[i] \leftarrow 1$...

649 views

Arjun asked Feb 16

0 votes

2 answers

28

GATE DS&AI 2024 | Question: 32
Consider the table below, where the $(i, j)^{t h}$ element of the table is the distance between points $x_{i}$ and $x_{j}$. Single linkage clustering is performed on data points, $x_{1}, x_{2}, x_{3}, x_{4}, x_{5}$. \begin{array} ... & 3 & 5 & 1 & 0 \\ \hline \end{array} Which ONE of the following is the correct representation of the clusters produced?

Consider the table below, where the $(i, j)^{t h}$ element of the table is the distance between points $x_{i}$ and $x_{j}$. Single linkage clustering is performed on data...

692 views

Arjun asked Feb 16

0 votes

1 answer

29

GATE DS&AI 2024 | Question: 33
Consider the two neural networks (NNs) shown in Figures $1$ and $2$, with $R e L U$ activation $(\text{ReLU}(z)=\max \{0, z\}, \forall z \in \text{R})$. The connections and their corresponding weights are shown in the Figures. The biases at every neuron are set to $0$. ... real numbers. $p=36, q=24, r=24$ $p=24, q=24, r=36$ $p=18, q=36, r=24$ $p=36, q=36, r=36$

Consider the two neural networks (NNs) shown in Figures $1$ and $2$, with $R e L U$ activation $(\text{ReLU}(z)=\max \{0, z\}, \forall z \in \text{R})$....

671 views

Arjun asked Feb 16

0 votes

1 answer

30

GATE DS&AI 2024 | Question: 34
Consider a state space where the start state is number $1$. The successor function for the state numbered $n$ returns two states numbered $n+1$ and $n+2$. Assume that the states in the unexpanded state list are expanded in the ascending order of ... than BFS. Both BFS and DFS expand equal number of states. Both BFS and DFS do not reach the goal state number $6$.

Consider a state space where the start state is number $1$. The successor function for the state numbered $n$ returns two states numbered $n+1$ and $n+2$. ...

837 views

Arjun asked Feb 16

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