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ISI 2019 | PCB CS | Question: 18
Consider a $5$-stage instruction pipeline. The stages and the corresponding stage delays are given below. Instruction Stage delay Fetch instruction (FI) 3 ns Decode instruction (DI) 4 ns Fetch operand (FO) 7 ns Execute instruction (EI) 10 ns Write ... flow through the pipeline stages in this processor. Calculate the time (in ns) needed to execute the program.
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ISI 2021 | PCB Mathematics | Question: 4
In the figure below, there are three circles touching each other externally and also touching the line below. Let $r_{1}, r_{2}$ and $r_{3}$ be the radii of the three circles as shown in the figure. If $r_{1}=25$ and $r_{3}=9$, then find $r_{2}$.
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UGC NET CSE | December 2005 | Part 2 | Question: 43
The Reliability of the software is directly dependent upon : Quality of the design Programmer's experience Number of error Set of user requirements
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UGC NET CSE | June 2005 | Part 2 | Question: 47
The frequency reuse plan is divided into cell grouping using how many cells, where the number of cells equals $N$ ? $3$ $10$ $7$ $21$
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UGC NET CSE | June 2005 | Part 2 | Question: 45
Which type of coupling is least preferred ? Content coupling Data coupling Control coupling Common coupling
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UGC NET CSE | June 2005 | Part 2 | Question: 44
Which one is measure of software complexity ? Number of lines of code $(LOC)$ Number of man years Number of function points $(FP)$ All of the above
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UGC NET CSE | June 2005 | Part 2 | Question: 43
System Development Life-cycle has following stages : Requirement analysis Coding Design Testing Which option describes the correct sequence of stages ? III, I, IV, II II, III, I, IV I, III, IV, II None of the above
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UGC NET CSE | June 2005 | Part 2 | Question: 41
The capability maturity model $(err)$ defines $5$ ...
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UGC NET CSE | June 2005 | Part 2 | Question: 28
Which type of links are used for a connection between two $DTE$ devices ? $X.21$ Frame Relay $ATM$ Modem
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UGC NET CSE | June 2005 | Part 2 | Question: 18
A black hole in a $DFD$ is a : A data store with no in bound flows A data store with only in bound flows A data store with more than one in bound flow None of these
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UGC NET CSE | June 2005 | Part 2 | Question: 8
Which of the following logic has the maximum fan out ? $RTL$ $ECL$ $N MOS$ $C MOS$
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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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UGC NET CSE | December 2004 | Part 2 | Question: 39
Non modifiable procedures are called Serially useable procedures Concurrent procedures Reentrant procedures Topdown procedures
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Gate Overflow site issue
Why Gate Overflow Answer Writing template changed ? Previously there was separate Text editor section where we could add equation, different different colours and fonts and mathematical formulas. But now in the new template those are not there.
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GATE DS&AI 2024 | Question: 42
Let $H, I, L$, and $N$ represent height, number of internal nodes, number of leaf nodes, and the total number of nodes respectively in a rooted binary tree. Which of the following statements is/are always TRUE? $L \leq I+1$ $H+1 \leq N \leq 2^{H+1}-1$ $H \leq I \leq 2^{H}-1$ ... $H+1 \leq N \leq 2^{H+1}-1$ $H \leq I \leq 2^{H}-1$ $H \leq L \leq 2^{H-1}$
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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.
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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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du ques.
A program is running on a specific machine (CPU) with the following parameters: i) Total instructions executed =10^7 ii) Average CPI = 2.5 cycles per instruction. iii)CPU clock rate=200MHz (clock cycle = 1/clock rate). Find the execution time for this program.
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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
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GATE DS&AI 2024 | Question: 44
Let game(ball, rugby) be true if the ball is used in rugby and false otherwise. Let shape(ball, round) be true if the ball is round and false otherwise. Consider the following logical sentences: s1: $\forall$ ball $\neg$ game(ball, rugby) $\Rightarrow$ ... used in rugby"? $s 1 \wedge s 3$ $s 1 \wedge s 2$ $s 2 \wedge s 3$ $s 3 \wedge s 4$
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Feb 20
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GATE DS&AI 2024 | Question: 54
Given the following Bayesian Network consisting of four Bernoulli random variables and the associated conditional probability tables: \begin{tabular}{|c|c|} \hline & $P(\cdot)$ \\ \hline$U=0$ & 0.5 \\ \hline$U=1$ & 0.5 \\ \hline \end{tabular} \begin{ ... \\ \hline \end{tabular} The value of $P(U=1, V=1, W=1, Z=1)=$ (rounded off to three decimal places).
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Feb 19
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Will the GATE 2024 rank predictor for DS&AI be released?
If yes, when? If no, why not?
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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 $W$
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Feb 18
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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 $\left[\begin{array}{c}-1 \\ 1\end{array}\right]$ ... $\left[\begin{array}{l}2 \\ 0\end{array}\right]$ $\left[\begin{array}{l}0 \\ 1\end{array}\right]$
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Feb 18
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25
GATE DS&AI 2024 | Question: 40
Consider the function $f: \mathbb{R} \rightarrow \mathbb{R}$ where $\mathbb{R}$ is the set of all real numbers. \[ f(x)=\frac{x^{4}}{4}-\frac{2 x^{3}}{3}-\frac{3 x^{2}}{2}+1 \] Which of the following statements is/are TRUE? $x=0$ is a local maximum of ... maximum of $f$ $x=3$ is a local minimum of $f$ $x=-1$ is a local maximum of $f$ $x=0$ is a local minimum of $f$
Sachin Mittal 1
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Feb 18
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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 ... average of 50 data points is 40 . The updated sample average after including a new data point taking the value of 142 is
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Feb 18
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27
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{ ... & 3 & 5 & 1 & 0 \\ \hline \end{tabular} Which ONE of the following is the correct representation of the clusters produced?
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Feb 18
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28
GATE DS&AI 2024 | Question: 19
Let $x$ and $y$ be two propositions. Which of the following statements is a tautology /are tautologies? $(\neg x \wedge y) \Rightarrow(y \Rightarrow x)$ $(x \wedge \neg y) \Rightarrow(\neg x \Rightarrow y)$ $(\neg x \wedge y) \Rightarrow(\neg x \Rightarrow y)$ $(x \wedge \neg y) \Rightarrow(y \Rightarrow x)$
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Feb 18
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29
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 $\left(\boldsymbol{M}^{2}+12 \boldsymbol{M}\right)$ ... $\left(\boldsymbol{M}^{2}+12 \boldsymbol{M}\right)$ is
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Feb 18
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30
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. \[ f(x)=\left\{\begin{array}{cl} -x, & \text { if } x2 \end{array}\right. \] Which ONE of the following choices gives the values of $a, b, c$ that make the function $f$ ... $a=\frac{1}{2}, b=0, c=0$ $a=0, b=0, c=0$ $a=1, b=1, c=-4$
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GATE DS&AI 2024 | Question: 45
An OTT company is maintaining a large disk-based relational database of different movies with the following schema: \[ \begin{array}{l} \text { Movie (ID, CustomerRating) } \\ \text { Genre (ID, Name) } \\ \text { Movie_Genre (MovieID, ... . Hash index on Movie.CustomerRating and $\mathrm{B}^{+}$tree on the remaining attributes. Hash index on all the attributes.
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GATE DS&AI 2024 | Question: 52
Details of ten international cricket games between two teams "Green" and "Blue" are given in Table $\mathrm{C}$. This table consists of matches played on different pitches, across formats along with their winners. The attribute Pitch can take one of two values: ... $O$ & Blue \\ \hline 10 & $S$ & $O$ & Green \\ \hline \end{tabular}
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Feb 17
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33
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 returned ... for $X=[6,3,5,4,10]$ ? $[1,1,2,3,4]$ $[1,1,2,3,3]$ $[1,1,2,1,2]$ $[1,1,2,1,5]$
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Feb 17
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34
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 $u^{*} \in \mathbb{R}^{d}$, ... $S_{B} S_{W} u^{*}=\lambda u^{*}$ $u^{* T} u^{*}=\lambda^{2}$
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Feb 17
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35
GATE DS&AI 2024 | Question: 38
Which of the following statements is/are TRUE? Note: $\mathbb{R}$ denotes the set of real numbers. There exist $\boldsymbol{M} \in \mathbb{R}^{3 \times 3}, \boldsymbol{p} \in \mathbb{R}^{3}$, and $\boldsymbol{q} \in \mathbb{R}^{3}$ ... $\boldsymbol{M} \mathbf{x}=\boldsymbol{p}$ has a unique solution and $\boldsymbol{M x}=\boldsymbol{q}$ has no solutions.
Lakshmi Narayana404
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Feb 17
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36
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? $\text{(i) and (ii)}$ $\text{(ii) and (iii)}$ $\text{(i) and (iii)}$ $\text{(ii) only}$
Anmol Verma
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Feb 17
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GATE DS&AI 2024 | Question: 43
Consider the following figures representing datasets consisting of two-dimensional features with two classes denoted by circles and squares. Which of the following is/are TRUE? (i) is linearly separable. (ii) is linearly separable. (iii) is linearly ... i) is linearly separable. (ii) is linearly separable. (iii) is linearly separable. (iv) is linearly separable.
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Feb 17
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38
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
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Feb 17
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39
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 $)=\phi$
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Feb 17
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40
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 numbers ... than BFS. Both BFS and DFS expand equal number of states. Both BFS and DFS do not reach the goal state number 6 .
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