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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

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2 answers

2

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

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3

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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4

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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1 answer

5

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

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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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1 answer

7

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

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1 answer

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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

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2 votes

1 answer

9

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

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3 votes

1 answer

10

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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3 answers

11

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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DRDO CSE 2022 Paper 2 | Question: 26
Suppose $\mathrm{A}$ and $\mathrm{B}$ use Diffie-Hellnian key exchange. Let the commonly agreed (i.e., global public) prime number $(q)=13$ and the primitive root $(\alpha)=6$. If $\text{A}$ chose the private value $\left(X_{A}\right)=5$ ... value $\left(X_{B}\right)=4$. Find the shared secret key $(\mathrm{K})$ between $\mathrm{A}$ and $\mathrm{B}$

admin asked in Computer Networks Dec 15, 2022

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13

DRDO CSE 2022 Paper 2 | Question: 30
Given an input image of size $230 \times 230$ with convolution filter of size $5 \times 5$ and stride $3$. What would be the size of the output?

admin asked in Computer Graphics Dec 15, 2022

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1 answer

14

DRDO CSE 2022 Paper 2 | Question: 32
A perceptron consists of weights $\left[w_{1}, w_{2}, w_{3}, w_{4}\right]=[0.5,2,1,-3]$. The activation function is provided as $y=f(z)=1$ if $z \geq 2$ otherwise $0,$ where $z= \sum(w . d)$. What is the output $y$ ...

admin asked in Artificial Intelligence Dec 15, 2022

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15

DRDO CSE 2022 Paper 1 | Question: 2
Calculate the eigenvalues of matrix $M, M^{-1}, M^{2}$ and $M+2 I$ where \[M=\left[\begin{array}{cc} 4 & 5 \\ 2 & -5 \end{array}\right].\]

admin asked in Linear Algebra Dec 15, 2022

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227 views

1 vote

1 answer

16

DRDO CSE 2022 Paper 1 | Question: 3
With no unique solution, solve for $n$ with the following system of equations $\begin{array}{r} a+b+2 c=3 \\ a+2 b+3 c=4 \\ a+4 b+n c=6 \end{array}$

admin asked in Linear Algebra Dec 15, 2022

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1 answer

17

DRDO CSE 2022 Paper 1 | Question: 4
Let the function $f(x)$ be defined as follows. \[f(x)=\left\{\begin{array}{ll} x^{2} & x \leq 1 \\ 2 a x^{2}+bx + c & 1 < x \leq 2 \\ x + 2d & x>1 \end{array}\right.\] Find the values of $a, b, c$ and $d$ such that $f$ is continuous and differentiable everywhere.

admin asked in Calculus Dec 15, 2022

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18

DRDO CSE 2022 Paper 1 | Question: 11
Consider the following graph. Find closeness centrality of $\text{‘A’}$ node.

admin asked in Graph Theory Dec 15, 2022

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19

DRDO CSE 2022 Paper 1 | Question: 13
Consider the following graph. Which nodes form the cliques of size $3?$

admin asked in Graph Theory Dec 15, 2022

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20

DRDO CSE 2022 Paper 1 | Question: 16
Let us say we have a supply of $1$ rupee and $2$ rupee coins in large quantities. What is the generating function for the number of ways of giving change with $1$ rupee and $2$ rupee coins.

admin asked in Combinatory Dec 15, 2022

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2 votes

1 answer

21

DRDO CSE 2022 Paper 1 | Question: 18
A gardener wants to buy $3$ neem plants, $5$ rose plants and $1$ banyan plant from a nursery having $7$ neem, $10$ rose and $6$ banyan plants. How many choices does a gardener have?

admin asked in Combinatory Dec 15, 2022

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310 views

1 vote

1 answer

22

DRDO CSE 2022 Paper 1 | Question: 19
How many seven digit numbers are possible with exactly four $4 \mathrm{s}?$

admin asked in Combinatory Dec 15, 2022

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346 views

1 vote

1 answer

23

DRDO CSE 2022 Paper 1 | Question: 22
How many minimum number of $\text{NOR}$ gates are required to implement the function $F=A^{\prime} B^{\prime} C^{\prime}+A B C^{\prime}$

admin asked in Digital Logic Dec 15, 2022

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292 views

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1 answer

24

DRDO CSE 2022 Paper 1 | Question: 27
Find the number of binary tree(s) with $3$ nodes (i.e., $\text{A, B,}$ and $\text{C})$ which when traversed by pre-order gives the sequence $\textbf{C B A}$. You also need to draw each such tree.

admin asked in DS Dec 15, 2022

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25

DRDO CSE 2022 Paper 1 | Question: 29
Five items $\text{A, B, C, D, E}$ are pushed onto a stack, one after other starting from item $\mathrm{A}$. The stack is then popped by three items, and each item is inserted into a queue. Next, two items are deleted from the queue, ... deleted items are pushed back onto the stack. Now, one item is popped from the stack. Which item is at the top of the stack.

admin asked in DS Dec 15, 2022

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