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Graph Theory
A vertex colouring with three colours of a graph G = (V, E) is a mapping V → {R, G, B }. So that any two adjacent vertices does not same colour. Consider the below graphs:
A vertex colouring with three colours of a graph G = (V, E) is a mapping V → {R, G, B }. So that any two adjacent vertices does not same colour. Consider the below grap...
alexa16
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TIFR CSE 2024 | Part A | Question: 2
Let $\sigma$ be a uniform random permutation of $\{1, \ldots, 100\}$. What is the probability that $\sigma(1)<\sigma(2)<\sigma(3)$ ... $\frac{3}{100 !}$ $\frac{3 !}{100 !}$ $\frac{6}{100}$ $\frac{1}{6}$ $\frac{1}{3}$
Let $\sigma$ be a uniform random permutation of $\{1, \ldots, 100\}$. What is the probability that $\sigma(1)<\sigma(2)<\sigma(3)$ (i.e., what is the probability that the...
Lakshmi Narayana404
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UGCNET CSE December 2022: 41
Consider the following statements: $\text{P}$: There exists no simple, undirected and connected graph with $80$ vertices and $77$ edges. $\text{Q}$: All vertices of Euler graph are of even degree. $\text{R}$: Every simple, undirected, connected and acyclic graph with ... $2[39462]) 2$ (Option $3[39463]) 3$ (Option $4[39464]) 4$ Answer Given by Candidate: $2$
Consider the following statements:$\text{P}$: There exists no simple, undirected and connected graph with $80$ vertices and $77$ edges.$\text{Q}$: All vertices of Euler g...
ajayraho
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UGCNET CSE December 2022: 64
Consider the following Learning algorithms. Logistic regression. Back propagation. Linear regression. Forward propagation. Which of the following options represents classification algorithm? Choose the correct answer from the options given below: $\mathrm{A}$ & $\mathrm{C}$ ... $3 [39555]) 3$ (Option $4 [39556]) 4$ Answer Given by Candidate: $2$
Consider the following Learning algorithms.Logistic regression.Back propagation.Linear regression.Forward propagation.Which of the following options represents classifica...
ajayraho
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UGCNET CSE December 2022: 88
An $\text{OS}$ follows round-robin scheduling with time quantum of $4 \mathrm{~ms}$. Assuming that the $\mathrm{CPU}$ is free now and there are $20$ ... $2[39650]) 2$ (Option $3[39651]) 3$ (Option $4[39652]) 4$ Answer Given by Candidate: $2$
An $\text{OS}$ follows round-robin scheduling with time quantum of $4 \mathrm{~ms}$. Assuming that the $\mathrm{CPU}$ is free now and there are $20$ processes waiting in ...
ajayraho
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UGCNET CSE December 2022: 62
The Solution to Silly Window Syndrome problem is/are: Nagle's Algorithm Clark's Algorithm Jacobson's Algorithm Piggy backing Algorithm Choose the correct answer from the options given below: $\mathrm{A}$ and $\mathrm{B}$ Only $\mathrm{A}$ and $\mathrm{C}$ Only ... $2[39546]) 2$ (Option $3 [39547]) 3$ (Option $4 [39548]) 4$ Answer Given by Candidate: $3$
The Solution to Silly Window Syndrome problem is/are:Nagle's AlgorithmClark's AlgorithmJacobson's AlgorithmPiggy backing AlgorithmChoose the correct answer from the optio...
ajayraho
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UGCNET CSE December 2022: 83
What is the safest order while simplifying Context Free Grammar? Elimination of $\varepsilon$-productions, Unit productions and then Useless symbols \& productions. Elimination of useless symbols \& productions, $\varepsilon$-productions and then Unit productions. Elimination of ... $3[39631]) 3$ (Option $4 [39632]) 4$ Answer Given by Candidate: $2$
What is the safest order while simplifying Context Free Grammar?Elimination of $\varepsilon$-productions, Unit productions and then Useless symbols \& productions.Elimina...
ajayraho
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UGCNET CSE December 2022: 80
Select the correct order of events after power is initialized on a system. A. Bootstrap loader is loaded from the disk B. Kernel is loaded onto the memory C. Firmware $\text{ROM}$ ... Option $2 [39618]) 2$ (Option $3 [39619]) 3$ (Option $4 [39620]) 4$ Answer Given by Candidate: $4$
Select the correct order of events after power is initialized on a system.A. Bootstrap loader is loaded from the diskB. Kernel is loaded onto the memoryC. Firmware $\text...
ajayraho
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UGCNET CSE December 2022: 29
The transition function ' $\delta$ ' in multi-tape Turing machine is defined as: $\delta: 2 \mathrm{Q} \times \Gamma^{\mathrm{k}} \rightarrow 2^{\mathrm{Q}} \times \Gamma^{\mathrm{k}} \times\{\mathrm{L}, \mathrm{R}, \mathrm{S}\}^{\mathrm{k}}$ ... $2[39414]) 2$ (Option $3[39415]) 3$ (Option $4 [39416]) 4$ Answer Given by Candidate : $3$
The transition function ' $\delta$ ' in multi-tape Turing machine is defined as:$\delta: 2 \mathrm{Q} \times \Gamma^{\mathrm{k}} \rightarrow 2^{\mathrm{Q}} \times \Gamma^...
ajayraho
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UGCNET CSE December 2022: 27
Given the $\text{FFT}$ we can have time procedure for multiplying two polynomials $\mathrm{A}(\mathrm{x})$ and $\mathrm{B}(\mathrm{x})$ of degree bound $\mathrm{n}$ where input and output representations are in coefficient form, assuming $\mathrm{n}$ is a power of ... $2 [39406]) 2$ (Option $3 [39407]) 3$ (Option $4 [39408]) 4$ Answer Given by Candidate : $3$
Given the $\text{FFT}$ we can have time procedure for multiplying two polynomials $\mathrm{A}(\mathrm{x})$ and $\mathrm{B}(\mathrm{x})$ of degree bound $\mathrm{n}$ where...
ajayraho
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UGCNET CSE December 2022: 95
An organization is granted the block $130.56 .0 .0 / 16$. The administrator wants to create $1024$ subnets. Find subnet mask. $130.255 .255 .255$ $130.56 .255 .255$ $130.56 .0 .255$ $130.56 .155 .192$ (Option $1 [39677]) 1$ (Option $2 [39678]) 2$ (Option $3 [39679]) 3$ (Option $4 [39680]) 4$ Answer Given by Candidate: $2$
An organization is granted the block $130.56 .0 .0 / 16$. The administrator wants to create $1024$ subnets.Find subnet mask.$130.255 .255 .255$$130.56 .255 .255$$130.56 ....
ajayraho
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UGCNET CSE December 2022: 91
An organization is granted the block $130.56.0.0/16$. The administrator wants to create $1024$ subnets. Find the number of addresses in each subnet $32$ $64$ $128$ $16$ (Option $1 [39661]) 1$ (Option $2[39662]) 2$ (Option $3[39663]) 3$ (Option $4[39664]) 4$ Answer Given by Candidate: $2$
An organization is granted the block $130.56.0.0/16$. The administrator wants to create $1024$ subnets. Find the number of addresses in each subnet$32$$64$$128$$16$(Optio...
ajayraho
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UGCNET CSE December 2022: 14
Identify the incorrect statement(s). A candidate key is minimal set of one or more attributes that, taken collectively, allows us to uniquely identify any entity in the entity set. A candidate key for which no proper subset is also a candidate key is called a super key. A ... $2[39354]) 2$ (Option $3[39355]) 3$ (Option $4 [39356]) 4$ Answer Given by Candidate : $3$
Identify the incorrect statement(s).A candidate key is minimal set of one or more attributes that, taken collectively, allows us to uniquely identify any entity in the en...
ajayraho
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UGCNET CSE December 2022: 2
A relation '$R$ ' is defined on ordered pairs of integers as: $(x, y) R(u, v)$ if $x<u$ and $y>v$. Then $R$ is Neither a partial order nor an equivalence relation A partial order but not a total order A total order An equivalence relation (Option ... $2 [39306]) 2$ (Option $3 [39307]) 3$ (Option $4 [39308]) 4$ Answer Given by Candidate : $4$
A relation '$R$ ' is defined on ordered pairs of integers as: $(x, y) R(u, v)$ if $x<u$ and $y>v$. Then $R$ isNeither a partial order nor an equivalence relationA partial...
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UGCNET CSE December 2022: 22
$\text{COCOMO}$ stands for Consumed cost model Constructive cost model Common control model Composition cost model (Option $1[39385]) 1$ (Option $2 [39386]) 2$ (Option $3[39387]) 3$ (Option $4 [39388]) 4$ Answer Given by Candidate : $2$
$\text{COCOMO}$ stands forConsumed cost modelConstructive cost modelCommon control modelComposition cost model(Option $1[39385]) 1$(Option $2 [39386]) 2$(Option $3[39387]...
rajesh1
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IIIT Delhi Coding questions
Can somebody please tell what kind of coding question should I prepare for IIIT Delhi PGCAT Coding round? Also please share memory based questions for PGCAT Technical exam.
Can somebody please tell what kind of coding question should I prepare for IIIT Delhi PGCAT Coding round? Also please share memory based questions for PGCAT Technical exa...
Starprince07
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17
TIFR CSE 2024 | Part A | Question: 5
Let $p(x)$ be a polynomial with real coefficients which satisfies $p(r)=p(-r)$ for every real number $r$. Let $n \geq 5$ be a positive integer. Suppose that $p(i)=i$ for all $1 \leq i \leq n$. What is the maximum possible value of the absolute value of the coefficient of ${x^{5}}$ in $p(x)$ ? $0$ $5$ $10$ $n$ $n+1$
Let $p(x)$ be a polynomial with real coefficients which satisfies $p(r)=p(-r)$ for every real number $r$. Let $n \geq 5$ be a positive integer. Suppose that $p(i)=i$ for ...
Ishan Banerjee
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TIFR CSE 2024 | Part A | Question: 4
Let $z_{1}, z_{2}, z_{3}, \ldots, z_{2023}$ be a permutation of the numbers $1,2,3, \ldots, 2023$. Which of the following is true about the product $\prod_{i=1}^{2023}\left(z_{i}-i\right)$ ? Note: The parity of an ... such that swapping their values does not change the parity of the above product. None of the above statements is true.
Let $z_{1}, z_{2}, z_{3}, \ldots, z_{2023}$ be a permutation of the numbers $1,2,3, \ldots, 2023$. Which of the following is true about the product $\prod_{i=1}^{2023}\le...
Ishan Banerjee
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UGCNET CSE December 2022: 131
The hardware address of a computer network device consists of $48$ bits. Which of the following is a valid address in hexadecimal numbers? $00 \mathrm{E} 0071944 \mathrm{~A} 0$ $0 \mathrm{~A} 23 \mathrm{~B} 5$ $1 \mathrm{E} 07 \mathrm{FG} 124372$ ... $1 [39821]) 1$ (Option $2 [39822]) 2$ (Option $3 [39823]) 3$ (Option $4 [39824]) 4$
The hardware address of a computer network device consists of $48$ bits. Which of the following is a valid address in hexadecimal numbers?$00 \mathrm{E} 0071944 \mathrm{~...
ajayraho
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UGCNET CSE December 2022: 132
The computer uses a bootstrap. Which of the following shows the part of a computer of which the bootstrap is an example? application software firmware hard disk drive IP address (Option $1 [39825]) 1$ (Option $2 [39826]) 2$ (Option $3 [39827]) 3$ (Option $4 [39828]) 4$
The computer uses a bootstrap. Which of the following shows the part of a computer of which the bootstrap is an example?application softwarefirmwarehard disk driveIP addr...
ajayraho
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Mar 1
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UGCNET CSE December 2022: 133
Given below are two statements: Statement I: One always uses $\text{CD-ROMs}$ to save data. Statement II: A computer has $2048$ MB of $\text{RAM}$. That means computer has $1.2$ GB of $\text{RAM}$. In the light of the above statements, choose the correct answer from ... $1[39829]) 1$ (Option $2[39830]) 2$ (Option $3[39831]) 3$ (Option $4 [39832]) 4$
Given below are two statements:Statement I: One always uses $\text{CD-ROMs}$ to save data.Statement II: A computer has $2048$ MB of $\text{RAM}$. That means computer has ...
ajayraho
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UGCNET CSE December 2022: 134
Which file formats are used to store music files? $\mathrm{bmp}$ $\text{wav}$ $\operatorname{mp} 3$ $\text{htm}$ $\text{wma}$ Choose the correct answer from the options given below : $\text{A, B}$ and $\text{D}$ only $\text{A, D}$ and $\mathrm{E}$ ... and $\mathrm{E}$ only (Option $1[39833]) 1$ (Option $2 [39834]) 2$ (Option $3[39835]) 3$ (Option $4[39836]) 4$
Which file formats are used to store music files?$\mathrm{bmp}$$\text{wav}$$\operatorname{mp} 3$$\text{htm}$$\text{wma}$Choose the correct answer from the options given b...
ajayraho
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UGCNET CSE December 2022: 135
Match $\text{List I}$ with $\text{List II}$ $\text{List I (Internet Term)}$ $\text{List II (Description)}$ $\text{A}$. Spyware $\text{List I}$. Malicious software installed on a user's hard drive or a web server; the software re-directs the user to a fake website ... $1[39837]) 1$ (Option $2[39838]) 2$ (Option $3[39839]) 3$ (Option $4 [39840]) 4$
Match $\text{List I}$ with $\text{List II}$$\text{List I (Internet Term)}$$\text{List II (Description)}$$\text{A}$. Spyware$\text{List I}$. Malicious software installed ...
ajayraho
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UGCNET CSE December 2022: 25
How many different trees are possible with ' $n$ ' nodes? $\mathrm{n}_{-1}$ $2^{\mathrm{n}}-1$ $2^{\mathrm{n}}$ $2^{\mathrm{n}}-\mathrm{n}$ (Option $1 [39397]) 1$ (Option $2 [39398]) 2$ (Option $3[39399]) 3$ (Option $4 [39400]) 4$ Answer Given by Candidate : $2$
How many different trees are possible with ' $n$ ' nodes?$\mathrm{n}_{-1}$$2^{\mathrm{n}}-1$$2^{\mathrm{n}}$$2^{\mathrm{n}}-\mathrm{n}$(Option $1 [39397]) 1$(Option $2 [3...
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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: 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: 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: 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: 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: 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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