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0 0 votes
2 2 answers
519
519 views
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...
3 3 votes
0 0 answers
452
452 views
I am reaching out to fellow JEST 2026 Theoretical Computer Science (TCS) candidates to compile a comprehensive list of subjective questions from the recent examination. P...
2 2 votes
1 1 answer
874
874 views
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$$1...
1 1 vote
2 2 answers
3.4k
3.4k views
For matrix $H=\left[\begin{array}{cc}3 & -1 \\ -1 & 3\end{array}\right]$, one of the eigenvectors is $\left[\begin{array}{l}-1 \\ -1\end{array}\right]$. Then, the other e...
0 0 votes
0 0 answers
359
359 views
How to approach JEST theoretical computer science exam and where to study from? Is gate pyq enough for objective questions?I am 2025 graduate, currently working. Appeard ...
1 1 vote
2 2 answers
399
399 views
An organization is granted the block $130.56 .0 .0 / 16$. The administrator wants to create $1024$ subnets. .Find first and last addresses of last subnet.$130.56 .0 .0 \q...
0 0 votes
1 1 answer
283
283 views
Find the pairs of natural numbers whose least common multiple is $78$ and the greatest common divisor is $13$.$58$ and $13$ or $16$ and $29$$68$ and $23$ or $36$ and $49$...
0 0 votes
1 1 answer
556
556 views
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...
0 0 votes
1 1 answer
334
334 views
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...
0 0 votes
1 1 answer
558
558 views
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...
0 0 votes
2 2 answers
464
464 views
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 ...
0 0 votes
1 1 answer
512
512 views
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...
0 0 votes
2 2 answers
747
747 views
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 $...
0 0 votes
1 1 answer
579
579 views
Modifying the software to match changes in the ever changing environment is called asAdaptive maintenanceCorrective maintenancePerfective maintenancePreventive maintenanc...
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2 2 answers
557
557 views
$\text{COCOMO}$ stands forConsumed cost modelConstructive cost modelCommon control modelComposition cost model(Option $1[39385]) 1$(Option $2 [39386]) 2$(Option $3[39387]...
0 0 votes
2 2 answers
933
933 views
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...
0 0 votes
1 1 answer
658
658 views
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...
0 0 votes
2 2 answers
589
589 views
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 ...
0 0 votes
1 1 answer
561
561 views
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}$ ' ...
0 0 votes
1 1 answer
736
736 views
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...
0 0 votes
2 2 answers
1.3k
1.3k views
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...
0 0 votes
0 0 answers
191
191 views
0 0 votes
1 1 answer
479
479 views
Match the following based on the language accepted by using brute force method of parsing.$\text{LIST I}$$\text{LIST II}$$\text{A}$. $\mathrm{S} \rightarrow \mathrm{aSa} ...
0 0 votes
1 1 answer
364
364 views
The correct sequence in fetch-execute cycle isA. DecodeB. FetchC. ExecuteChose the correct answer from the following$\mathrm{A}-\mathrm{B}-\mathrm{C}$$\mathrm{B}-\mathrm{...
0 0 votes
1 1 answer
424
424 views
Given the graph below which one of the following edges cannot be added in that order to find a minimum spanning tree uses algorithm.$\text{a-b}$$\text{d-f}$$\text{b-f}$$\...
0 0 votes
1 1 answer
368
368 views
A $\text{TCP}$ Server application is programmed to listen on port $\text{P}$ on Host $\mathrm{S}$. A $\text{TCP}$ Client is connected to the $\text{TCP}$ Server over the ...
0 0 votes
1 1 answer
636
636 views
Which of the statement is not true in regards to virtual memory?The main objective for using virtual memory is to increase the effective capacity of the memory systemSize...
0 0 votes
1 1 answer
408
408 views
Which of the following statements is logically equivalent to the statement "All tigers are hunting animals"?Some hunting animals are tigers.No tigers are non-hunting anim...
0 0 votes
0 0 answers
135
135 views
Let $R$ be an integral domain containing $\mathbb{C}$ such that it is a finite-dimensional $\mathbb{C}$-vector-space. Pick the correct statement(s) from below.For every $...
0 0 votes
0 0 answers
117
117 views
Let $X$ be a compact topological space. Let $f: X \longrightarrow \mathbb{R}$ be a function satisfying $f^{-1}([n, \infty))$ is closed for all $n \in \mathbb{N}$. Pick th...
0 0 votes
0 0 answers
196
196 views
 Let $a_{n}, n \geq 1$, be a sequence of positive real numbers such that $a_{n} \longrightarrow \infty$ as $n \longrightarrow \infty$. Then which of the following are tru...
0 0 votes
0 0 answers
118
118 views
Let $p, q$ be distinct prime numbers and let $\zeta_{p}, \zeta_{q}$ denote (any) primitive $p$-th and $q$-th roots of unity, respectively. Choose all the correct statemen...
0 0 votes
0 0 answers
129
129 views
Consider a computer with two-level cache system $L_{1}$ and $L_{2}$ along with a main memory $M$. The $L_{1}$ cache is divided into two parts: I-cache (Instruction cache)...
0 0 votes
0 0 answers
145
145 views
Consider a pair of relations $R_{1}$ and $R_{2}$ having $t_{1}$ and $t_{2}$ number of tuples, respectively. Let us define the semijoin $\left(R_{1} \ltimes R_{2}\right)$ ...
0 0 votes
0 0 answers
316
316 views
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...
17 17 votes
0 0 answers
1.7k
1.7k views
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...
0 0 votes
0 0 answers
454
454 views
What is the number of even positive integers $n$ such that every group of order $n$ is abelian?$1$$2$Greater than $2$, but finiteInfinite
0 0 votes
0 0 answers
388
388 views
Let $f: \mathbb{R} \rightarrow[0, \infty)$ be a function such that for any finite set $E \subset \mathbb{R}$ we have\[\sum_{x \in E} f(x) \leq 1 .\]Let\[C_{f}=\{x \in \ma...
0 0 votes
0 0 answers
433
433 views
What is the least positive integer $n>1$ such that $x^{n}$ and $x$ are conjugate, for every $x \in S_{11}$? Here, $S_{11}$ denotes the symmetric group on $11$ letters.$10...
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