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TIFR CSE 2024 | Part A | Question: 15
Suppose Michelle gives Asna and Badri two different numbers from $\mathbb{N}=\{1,2,3, \ldots\}$. It is commonly known to both Asna and Badri that they each know only their own number and that it is different from the other one. The following conversation ensues ... was given $3$, Badri was given $4$. Asna was given $4$, Badri was given $3$. None of the above.
Suppose Michelle gives Asna and Badri two different numbers from $\mathbb{N}=\{1,2,3, \ldots\}$. It is commonly known to both Asna and Badri that they each know only thei...
꧁༒☬ĿọŗԀ 🆂🅷🅸🆅🅰☬༒꧂
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꧁༒☬ĿọŗԀ 🆂🅷🅸🆅🅰☬༒꧂
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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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alexa16
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Apr 11
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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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Eligibility Criteria M.Sc
I have done M.Sc in mathematics and computing with 6.1 cgpa am I eligible for Mtech cse
I have done M.Sc in mathematics and computing with 6.1 cgpa am I eligible for Mtech cse
rahul_2048
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Mar 18
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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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I have purchased the test series for PGEE exam but i am not getting the mock test mail for the 2nd mock which was scheduled on 10th march!! Please help
makhdoom ghaya
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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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ajayraho
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Mar 12
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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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ajayraho
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Mar 12
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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
275
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ajayraho
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Mar 12
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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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ajayraho
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Mar 12
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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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ajayraho
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Mar 12
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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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ajayraho
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Mar 12
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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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ajayraho
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Mar 12
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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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ajayraho
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Mar 12
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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...
ajayraho
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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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Mar 7
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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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Mar 5
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20
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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Ishan Banerjee
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Mar 2
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tifr2024
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21
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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Ishan Banerjee
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Mar 2
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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
392
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ajayraho
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Mar 1
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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
125
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ajayraho
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Mar 1
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24
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
94
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ajayraho
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Mar 1
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25
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}$$\text{wma}$Choose the correct answer from the options given b...
ajayraho
205
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ajayraho
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Mar 1
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UGCNET CSE December 2022: 135
Match $\text{List I}$ with $\text{List II}$ $\text{List I (Internet Term)}$ $\text{List II (Description)}$ $\text{A}$. Spyware $\text{List I}$. Malicious software installed on a user's hard drive or a web server; the software re-directs the user to a fake website ... $1[39837]) 1$ (Option $2[39838]) 2$ (Option $3[39839]) 3$ (Option $4 [39840]) 4$
Match $\text{List I}$ with $\text{List II}$$\text{List I (Internet Term)}$$\text{List II (Description)}$$\text{A}$. Spyware$\text{List I}$. Malicious software installed ...
ajayraho
126
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ajayraho
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Mar 1
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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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Feb 29
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In which order should i study subjects for GATE CSE ?
I'm currently doing Engineering Mathematics, will probably finish it by next week. But i wanted to know which subjects should i prepare next and if there's a particular order to follow for better understanding.
I'm currently doing Engineering Mathematics, will probably finish it by next week. But i wanted to know which subjects should i prepare next and if there's a particular o...
Apex7D0
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Feb 23
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When will the Gate Overflow answer key get released along with mark distribution?
makhdoom ghaya
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Feb 22
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Marking Scheme
I have answered a question as .55 and the official key is 0.54-0.56, will I get the marks as I have not typed 0 before the decimal point? Also in another question, the range is 0.8-0.84 and I was asked to answer it in 2 decimal places i did it in 3 as 0.817, will I get marks for this one too?? please answer.
I have answered a question as .55 and the official key is 0.54-0.56, will I get the marks as I have not typed 0 before the decimal point?Also in another question, the ran...
Arjun
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