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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...

In $\text{CRC}$ coding if the data word is $111111$, divisor is $1010$ and the remainder is $110$. Which of the following code is true?$011111101$$001010110$$111111110$$1...

For matrix $H=\left[\begin{array}{cc}3 & -1 \\ -1 & 3\end{array}\right]$, one of the eigenvectors is $\left[\begin{array}{l}-1 \\ -1\end{array}\right]$. Then, the other e...

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 ...

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...

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...

Given $3$ literals $\text{A, B}$, and $\text{C}$, how many models are there for the sentence $\text{A $\vee$ $\neg$ B $\vee$ C}$ ?

A company manufactures a product at the rate of $\text{P}$ units per day. The cost per unit in Rs is $\text{C=50+0.1 P+9000 / P}$. The selling price per unit is Rs. $300$...

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...

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...

An organization is granted the block $130.56 .0 .0 / 16$. The administrator wants to create $1024$ subnets. .Find first and last addresses of last subnet.$130.56 .0 .0 \q...

Find the pairs of natural numbers whose least common multiple is $78$ and the greatest common divisor is $13$.$58$ and $13$ or $16$ and $29$$68$ and $23$ or $36$ and $49$...

A Computer on a $10 \mathrm{Mbps}$ network is regulated by a token bucket. The token bucket is filled at a rate of $2 \mathrm{Mbps}$. It is initially filled to capacity w...

Read the following passage and answer the question:Social media platforms have significant advantage over news publishers because of their size and superior information a...

In the standard Ethernet with transmission rate of $10 \mathrm{Mbps}$, assume that the length of the medium is $2500 \mathrm{~m}$ and size of a frame is 512 bytes. The pr...

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...

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 ...

In Pumping Lemma for regular languages, to say a language is satisfying pumping lemma, what is the minimum length of ' $\text{y}$ ' if you consider the string as ' $\text...

For a function of two variables, boundary value analysis yields,$4 \mathrm{n}+3$ test cases$4 \mathrm{n}+1$ test cases$\mathrm{n}+4$ test cases$2 n+4$ test cases(Option $...

Modifying the software to match changes in the ever changing environment is called asAdaptive maintenanceCorrective maintenancePerfective maintenancePreventive maintenanc...

$\text{COCOMO}$ stands forConsumed cost modelConstructive cost modelCommon control modelComposition cost model(Option $1[39385]) 1$(Option $2 [39386]) 2$(Option $3[39387]...

Which of the following is not a Non functional requirement?Portability.Security.ScalabilityUser interaction(Option $1[39381]) 1$(Option $2[39382]) 2$(Option $3 [39383]) 3...

The main function of the microkernel is to provide a communication facility between the program and the various that are also running in user space.Virtual, ProcessesSyst...

Which of the following is/are true for Dynamic $\text{RAM (DRAM)}$?It is slower than static $\text{RAM(SRAM)}$Packing Density is higher than Static $\text{RAM (SRAM)}$It ...

Consider the following statements:There exists a Boolean algebra with $'5'$ elements.Every element of Boolean algebra has unique complement.If a Lattice ' $\mathrm{L}$ ' ...

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...

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...