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GO Classes Set Theory And Algebra Practice Set 1 | Question: 1
Let $A=\{0,1,2,3\}$ and $R$ a relation over $A$ : $ R=\{(0,0),(0,1),(0,3),(1,1),(1,0),(2,3),(3,3)\} $ Draw the directed graph of $R$. Check whether $R$ is an equivalence relation. Give a counterexample in each case in which the relation does not satisfy one of the properties of being an equivalence relation.

GO Classes asked in Set Theory & Algebra 3 days ago

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GO Classes Set Theory And Algebra Practice Set 1 | Question: 2
$\begin{array}{l|llllll} \textbf{Relations on}\; \mathbb{Z}: & \quad < & \qquad \leq & \qquad = & \qquad \mid & \qquad \nmid & \qquad \neq \\ \hline \hline \text{Reflexive} & \\ \text{Symmetric} & \\ \text{Transitive} & \end{array}$ Fill "Yes or No" in the above table.

GO Classes asked in Set Theory & Algebra 3 days ago

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GO Classes Set Theory And Algebra Practice Set 1 | Question: 3
The following table describes a binary relation. Find the set of ordered pairs that is this relation, as in the definition of a binary relation. ...

GO Classes asked in Set Theory & Algebra 3 days ago

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GO Classes Set Theory And Algebra Practice Set 1 | Question: 6
Let $A$ be any set. Subset Relation on $\mathrm{P}(\mathrm{A})$ is Anti-symmetric?

GO Classes asked in Set Theory & Algebra 3 days ago

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GO Classes Set Theory And Algebra Practice Set 1 | Question: 7
Define $\mathcal{R}$ the binary relation on $\mathbb{N} \times \mathbb{N}$ to mean $(a, b) \mathcal{R}(c, d)$ iff $b \mid d$ and $a \mid c$

GO Classes asked in Set Theory & Algebra 3 days ago

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6

Isi Kolkata 2022
Prove or disprove the following statements: (i) L1 = {0^i1^j | i, j ∈ N} is a regular language. (ii) L2 = {0^n1^n | n ∈ N} is a regular language. (iii) For x ∈ {0, 1}*, R(x) denotes the string obtained by reversing the string x. C(x) denotes the string ... 0 in the string x. L3 = {x ∈ {0, 1}* | x = R (C (x))} is a regular language. How to solve this in subjective way..

devilstephen7 asked in Theory of Computation Feb 8

by devilstephen7

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1 answer

7

DRDO CSE 2022 Paper 1 | Question: 5 (b)
Consider rolling of a dice experiment. Let $\text{A}$ be the event of getting an even number and $\mathrm{B}$ be the event of getting a prime number. Write the sets representing the following events. $\mathrm{A}$ and $\mathrm{B}$

admin asked in Probability Jan 26

by admin

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DRDO CSE 2022 Paper 1 | Question: 5 (c)
Consider rolling of a dice experiment. Let $\text{A}$ be the event of getting an even number and $\mathrm{B}$ be the event of getting a prime number. Write the sets representing the following events. not $\text{B}$

admin asked in Probability Jan 26

by admin

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DRDO CSE 2022 Paper 2 | Question: 1
What is the minimum number of nodes required in a DAG (Directed Acyclic Graph) for the following block? \[ \begin{aligned} U=Z & =V+W \\ X=Y & =U+1 \\ A & =X+Y \end{aligned} \]

admin asked in Algorithms Dec 15, 2022

by admin

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DRDO CSE 2022 Paper 2 | Question: 2
What is the size of the physical address space in a paging system, which has a page table containing $64$ entries of $11$ bit each (including valid and invalid bit) and a page size of $256$ bytes.

admin asked in Operating System Dec 15, 2022

by admin

127 views

1 vote

1 answer

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DRDO CSE 2022 Paper 2 | Question: 3
The execution of a program occurs on a $250 \mathrm{~GHz}$ processor that executes millions of instructions. Type, $\text{CPI}$ (cycles per instruction) and $\%$ of four instructions are provided in the table. \[\begin{array}{|c|c|c|} \ ... end{array}\] Compute the average $\text{CPI}$ and $\text{MIPS}$ (millions of instructions per second) rate of the processor.

admin asked in CO and Architecture Dec 15, 2022

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DRDO CSE 2022 Paper 2 | Question: 4
A system $\mathrm{X}$ with $2 \mathrm{~GHz}$ clock speed runs a program in $10$ seconds. We want to build a system $\mathrm{Y}$ to run the same program in $6$ seconds. For this, system $\mathrm{Y}$ needs $1.2$ times as many clock cycles as system $\mathrm{X}$. What should be the clock speed of the system $\mathrm{Y}?$

admin asked in CO and Architecture Dec 15, 2022

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DRDO CSE 2022 Paper 2 | Question: 5
The figure shown below indicates a thread's movement between $3$ states (i.e., run, ready, and blocked). Explain what causes each arrow? Say $\text{N/A}$ if it doesn't happen.

admin asked in Operating System Dec 15, 2022

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2 votes

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DRDO CSE 2022 Paper 2 | Question: 6
Compute the hit rate and miss/fault rate in least recently used page replacement algorithm for the given reference string with $4$ page frames. String: $7 \; 0 \; 1 \; 2 \; 0 \; 3 \; 4 \; 2 \; 3 \; 0 \; 3 \; 2 \; 1 \; 2 \; 0 \; 1$

admin asked in Operating System Dec 15, 2022

by admin

143 views

2 votes

1 answer

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DRDO CSE 2022 Paper 2 | Question: 8
If the disk head is initially located at track $32,$ find the number of disk moves required with First Come First Serve $\text{(FCFS)}$ scheduling criteria if the disk queue of $\text{I/O}$ blocks requests are: $90 \; 77 \; 24 \; 104 \; 55 \; 87.$

admin asked in Operating System Dec 15, 2022

by admin

154 views

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1 answer

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DRDO CSE 2022 Paper 2 | Question: 9
Assume that in a certain computer, the virtual addresses are $64$-bit long, the physical addresses are $48$-bit long, and the memory is word-addressable. The page size is $16 \mathrm{KB}$ and the word size is $8 \mathrm{B}$. ... transalation path has $256$ valid entries. At most how many distinct virtual addresses can be translated without any $\text{TLB}$ miss?

admin asked in Operating System Dec 15, 2022

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79 views

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DRDO CSE 2022 Paper 2 | Question: 10
Construct a Deterministic Finite Automaton $\text{(DFA)}$ with $5$ states that accepts all strings with $0101$ as a substring.

admin asked in Theory of Computation Dec 15, 2022

by admin

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DRDO CSE 2022 Paper 2 | Question: 11
A context-free grammar is in Chomsky Normal Form if every rule is of the form \[ \begin{array}{l} A \longrightarrow B C \\ A \longrightarrow a \end{array} \] where $a$ is a terminal, $A, B$ and $C$ are variables except $B$ and $C$ cannot be ... } S \longrightarrow A S B \mid a B \\ A \longrightarrow B \mid S \\ B \longrightarrow b \mid \varepsilon \end{array} \]

admin asked in Theory of Computation Dec 15, 2022

by admin

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DRDO CSE 2022 Paper 2 | Question: 12 (a)
Let $L_{1}$ and $L_{2}$ be two languages decidable by Non-deterministic Turing machines $M_{1}$ and $M_{2}$. Using $M_{1}$ and $M_{2}$, construct a Non-deterministic Turing machine for the following languages. $L_{1} \cup L_{2}$

admin asked in Theory of Computation Dec 15, 2022

by admin

105 views

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DRDO CSE 2022 Paper 2 | Question: 14
A relational database contains two tables movie, and genre, in which movie table has columns movie_no, movie_name, and genre_id, while genre table has columns genre_id, and genre_name. Following insert statements were executed successfully to populate the ... How many rows and columns will be retrieved by the following SQL statement? Select * from movie, genre

admin asked in Databases Dec 15, 2022

by admin

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1 vote

1 answer

21

DRDO CSE 2022 Paper 2 | Question: 16
Suppose the $\text{IP}$ addresses of $\text{A}$ and $\text{B}$ are $10.105.1.113$ and $10.105.1.91,$ respectively. They both use the same netmask $\mathrm{N}$. Which of the following values of $\mathrm{N}$ given below should not be used if $\text{A}$ ... to the same network, and why? $255.255 .255 .0$ $255.255 .255 .128$ $255.255 .255 .192$ $255.255 .255 .224$

admin asked in Computer Networks Dec 15, 2022

by admin

152 views

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DRDO CSE 2022 Paper 2 | Question: 17
$1020$ bytes long packet must be routed through an interface with $\text{MTU}$ of $256$ bytes. Asssuming the smallest possible $\text{IPv4}$ header size, fragmentation will be required for the transmission. For the second fragment created in this ... (in binary), Fragment Offset field (in decimal), and Total Length field (in decimal) of $\text{IPv4}$ header.

admin asked in Computer Networks Dec 15, 2022

by admin

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DRDO CSE 2022 Paper 2 | Question: 18
For the following two $16$-bit messages, find the Internet checksum: $0001 \; 1000 \; 0001 \; 0010$ $1011 \; 1000 \; 1011 \; 0011$

admin asked in Computer Networks Dec 15, 2022

by admin

171 views

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1 answer

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DRDO CSE 2022 Paper 2 | Question: 19
Both the payload and $2\text{D}$ (even) parity bits are shown below. Some of these bit(s) have been flipped. Indicate the row and column of the flipped bit(s) in format (col, row); e.g., top left bit is $(0,0)$. \[\begin{array}{l} 1000 \; 0001 \; 1111 \; ... 0100 \; 0011 \; 0011 \text { | } 0 \\ \overline{0110 \;0111\; 0101\; 1001 \text { | } 1} \\ \end{array}\]

admin asked in Computer Networks Dec 15, 2022

by admin

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DRDO CSE 2022 Paper 2 | Question: 20
An organization is granted the $\text{IPv4}$ address block $130.56.0.0/16.$ The network administrator wants to create $1024$ subnets. Find the first and last addresses in the third subnet.

admin asked in Computer Networks Dec 15, 2022

by admin

169 views

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DRDO CSE 2022 Paper 2 | Question: 21
You work for a company $X$ in Bangalore. Due to floods, you have been allowed to work from home. You have your code in the server in the company and you have to access it securely to edit and modify. What is the one critical security protocol/tool that enables you to connect to your server securely?

admin asked in Computer Networks Dec 15, 2022

by admin

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2 votes

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27

DRDO CSE 2022 Paper 2 | Question: 22
A hash table contains $10$ buckets and uses linear probing to resolve collisions. The key values are intergers and the hash function used is $\text{Key}\%10.$ If we insert values $43,165,62,123,152$ sequentially in the table, in what bucket will the key $152$ be inserted?

admin asked in Algorithms Dec 15, 2022

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DRDO CSE 2022 Paper 2 | Question: 23 (a)
Fill in the table below to create firewall rules that perform the actions described below on a local network with address $1.2.3.0$ (subnet $255.255.255.0).$ Assume that by default, all traffic will be accepted. You can refer to an entire network by ... use '*' to many 'any'. Action A: Block all traffic to any server on the local network. Write as Rule $1.$

admin asked in Computer Networks Dec 15, 2022

by admin

125 views

1 vote

1 answer

29

DRDO CSE 2022 Paper 2 | Question: 24
Compute the following: $3^{32} \bmod 80$.

admin asked in Quantitative Aptitude Dec 15, 2022

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224 views

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DRDO CSE 2022 Paper 2 | Question: 25
Assume when encrypting $3$-bit plaintext with a block cipher with key $\text{K},$ ... with key $\mathrm{K}$ in counter mode (with initial counter value $=0):$ $\text{C}=100110000$ What was the plaintext?

admin asked in Computer Networks Dec 15, 2022

by admin

158 views

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