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Recent questions tagged descriptive
2
votes
3
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31
DRDO CSE 2022 Paper 2 | Question: 24
Compute the following: $3^{32} \bmod 80$.
Compute the following: $3^{32} \bmod 80$.
admin
574
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admin
asked
Dec 15, 2022
Quantitative Aptitude
drdocse-2022-paper2
quantitative-aptitude
modular-arithmetic
5-marks
descriptive
+
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1
votes
1
answer
32
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?
Assume when encrypting $3$-bit plaintext with a block cipher with key $\text{K},$ the following ciphertext is obtained:$$\begin{array}{|c|c|}\hline \text{Plaintext} & \te...
admin
826
views
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asked
Dec 15, 2022
Computer Networks
drdocse-2022-paper2
computer-networks
cryptography
7-marks
descriptive
+
–
1
votes
0
answers
33
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 $\mathrm{B}$
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 $(\alph...
admin
392
views
admin
asked
Dec 15, 2022
Computer Networks
drdocse-2022-paper2
computer-networks
cryptography
5-marks
descriptive
+
–
1
votes
1
answer
34
DRDO CSE 2022 Paper 2 | Question: 27
A transposition cipher (but not a rail-fence cipher) was used to produce the following ciphertext: $\text{X 2! H M E S S S E 2 Y T A 2 I I A}$ The key used was: $5 \; 2 \; 6 \; 3 \; 4 \; 1.$ What was the plaintext used (in English)?
A transposition cipher (but not a rail-fence cipher) was used to produce the following ciphertext:$\text{X 2! H M E S S S E 2 Y T A 2 I I A}$The key used was: $5 \; 2 \; ...
admin
447
views
admin
asked
Dec 15, 2022
Computer Networks
drdocse-2022-paper2
computer-networks
cryptography
7-marks
descriptive
+
–
1
votes
0
answers
35
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?
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
364
views
admin
asked
Dec 15, 2022
Computer Graphics
drdocse-2022-paper2
computer-graphics
5-marks
descriptive
+
–
2
votes
2
answers
36
DRDO CSE 2022 Paper 2 | Question: 31
What is the State $\mathrm{X}$ called for the following machine learning model?
What is the State $\mathrm{X}$ called for the following machine learning model?
admin
679
views
admin
asked
Dec 15, 2022
Artificial Intelligence
drdocse-2022-paper2
artificial-intelligence
2-marks
descriptive
+
–
1
votes
1
answer
37
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 $y$ ...
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 $0,$ wh...
admin
406
views
admin
asked
Dec 15, 2022
Artificial Intelligence
drdocse-2022-paper2
artificial-intelligence
activation-function
5-marks
descriptive
+
–
1
votes
0
answers
38
DRDO CSE 2022 Paper 2 | Question: 12 (b)
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. $L=\left\{a \circ b \mid a \in L_{1}, b \in L_{2}\right\}$ where $a$ o $b$ denotes the concatenation of the strings $a$ and $b$
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 Turi...
admin
194
views
admin
asked
Dec 15, 2022
Theory of Computation
drdocse-2022-paper2
theory-of-computation
decidability
turing-machine
2-marks
descriptive
+
–
1
votes
0
answers
39
DRDO CSE 2022 Paper 2 | Question: 12 (c)
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. $L_{1} \cap L_{2}$
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 Turi...
admin
270
views
admin
asked
Dec 15, 2022
Theory of Computation
drdocse-2022-paper2
theory-of-computation
decidability
turing-machine
2-marks
descriptive
+
–
1
votes
0
answers
40
DRDO CSE 2022 Paper 2 | Question: 15 (c)
Answer the following. Which of the following are not keys in the database? Compliment * Agreement Construct Supplement
Answer the following.Which of the following are not keys in the database?Compliment *AgreementConstructSupplement
admin
268
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admin
asked
Dec 15, 2022
Databases
drdocse-2022-paper2
databases
database-normalization
1-mark
descriptive
+
–
1
votes
0
answers
41
DRDO CSE 2022 Paper 2 | Question: 23 (b)
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 its ...
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 ...
admin
295
views
admin
asked
Dec 15, 2022
Computer Networks
drdocse-2022-paper2
computer-networks
subnetting
2-and-half-marks
descriptive
+
–
1
votes
1
answer
42
DRDO CSE 2022 Paper 1 | Question: 33 (b)
Consider the following graph. How many nodes (apart from $s$) does the Depth First Search algorithm discover before discovering $t$ when starting from $s.$
Consider the following graph.How many nodes (apart from $s$) does the Depth First Search algorithm discover before discovering $t$ when starting from $s.$
admin
258
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admin
asked
Dec 15, 2022
Algorithms
drdocse-2022-paper1
2-marks
descriptive
+
–
1
votes
0
answers
43
DRDO CSE 2022 Paper 1 | Question: 32 (b)
Let us suppose we are given an integer $\text{N}$ in binary representation. Let us consider the following algorithm to check if $\text{N}$ is a prime. For every $i$ such that $2 \leq i \leq\lceil\sqrt{\text{N}}\rceil$ ... of the running time in terms of the input size? (Assume hypothetically that division can be done in $\text{O}(1)$ time).
Let us suppose we are given an integer $\text{N}$ in binary representation. Let us consider the following algorithm to check if $\text{N}$ is a prime.For every $i$ such t...
admin
230
views
admin
asked
Dec 15, 2022
Algorithms
drdocse-2022-paper1
algorithms
time-complexity
3-marks
descriptive
+
–
1
votes
0
answers
44
DRDO CSE 2022 Paper 1 | Question: 6 (b)
Let $\oplus$ sign denote bitwise addition modulo $2$. Let $n$ and $m$ be integers. Consider the set of $m$ equations on $n$ variables as follows. \[\begin{array}{l} a_{1,1} x_{1} \oplus a_{1,2} x_{2} \oplus \ldots \ ... $\{0,1\}$. What is the expected number of equations that can be satisfied if $x_i$'s are picked uniformly and independently at random.
Let $\oplus$ sign denote bitwise addition modulo $2$. Let $n$ and $m$ be integers.Consider the set of $m$ equations on $n$ variables as follows.\[\begin{array}{l}a_{1,1} ...
admin
305
views
admin
asked
Dec 15, 2022
Digital Logic
drdocse-2022-paper1
digital-logic
boolean-algebra
descriptive
3-and-half-marks
+
–
1
votes
1
answer
45
DRDO CSE 2022 Paper 1 | Question: 1
Compute $\left[M M^{T}\right]^{-1}$ for an orthogonal matrix where \[M=\left[\begin{array}{lll} \frac{1}{\sqrt{2}} & \frac{2}{\sqrt{2}} & \frac{-2}{\sqrt{2}} \\ \frac{-2}{\sqrt{2}} & \frac{2}{\sqrt{2}} & \frac{1}{\sqrt{2}} \\ \frac{2}{\sqrt{2}} & \frac{1}{\sqrt{2}} & \frac{2}{\sqrt{2}} \end{array}\right] .\]
Compute $\left[M M^{T}\right]^{-1}$ for an orthogonal matrix where\[M=\left[\begin{array}{lll}\frac{1}{\sqrt{2}} & \frac{2}{\sqrt{2}} & \frac{-2}{\sqrt{2}} \\\frac{-2}{\s...
admin
452
views
admin
asked
Dec 15, 2022
Linear Algebra
drdocse-2022-paper1
linear-algebra
matrix
3-marks
descriptive
+
–
1
votes
0
answers
46
DRDO CSE 2022 Paper 1 | Question: 2
Calculate the eigenvalues of matrix $M, M^{-1}, M^{2}$ and $M+2 I$ where \[M=\left[\begin{array}{cc} 4 & 5 \\ 2 & -5 \end{array}\right].\]
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
234
views
admin
asked
Dec 15, 2022
Linear Algebra
drdocse-2022-paper1
linear-algebra
eigen-value
5-marks
descriptive
+
–
1
votes
1
answer
47
DRDO CSE 2022 Paper 1 | Question: 3
With no unique solution, solve for $n$ with the following system of equations $\begin{array}{r} a+b+2 c=3 \\ a+2 b+3 c=4 \\ a+4 b+n c=6 \end{array}$
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
281
views
admin
asked
Dec 15, 2022
Linear Algebra
drdocse-2022-paper1
linear-algebra
system-of-equations
5-marks
descriptive
+
–
1
votes
1
answer
48
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.
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 th...
admin
348
views
admin
asked
Dec 15, 2022
Calculus
drdocse-2022-paper1
calculus
continuity-and-differentiability
5-marks
descriptive
+
–
1
votes
0
answers
49
DRDO CSE 2022 Paper 1 | Question: 5 (a)
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. $\mathrm{A}$ or $\mathrm{B}$
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 repre...
admin
308
views
admin
asked
Dec 15, 2022
Probability
drdocse-2022-paper1
probability
1-mark
descriptive
+
–
2
votes
0
answers
50
DRDO CSE 2022 Paper 1 | Question: 6 (a)
Let $\oplus$ sign denote bitwise addition modulo $2$. Let $n$ and $m$ be integers. Consider the set of $m$ equations on $n$ variables as follows. \[\begin{array}{l} a_{1,1} x_{1} \oplus a_{1,2} x_{2} \oplus \ldots \oplus a_{1, n} x_{n}=b_{ ... $a_{1, n} x_{n}=b_{1}$ if all $x_{i}$'s are picked uniformly and independently at random from $\{0,1\}$.
Let $\oplus$ sign denote bitwise addition modulo $2$. Let $n$ and $m$ be integers.Consider the set of $m$ equations on $n$ variables as follows.\[\begin{array}{l}a_{1,1} ...
admin
329
views
admin
asked
Dec 15, 2022
Digital Logic
drdocse-2022-paper1
digital-logic
boolean-algebra
probability
independent-events
3-and-half-marks
descriptive
+
–
1
votes
0
answers
51
DRDO CSE 2022 Paper 1 | Question: 7
Let $T$ be a subset of $\{1,2, \ldots, n\}$ of size $\frac{n}{2}$, sampled uniformly at random from all subsets of size $\frac{n}{2}$ of the same set $\{1,2, \ldots, n\}$. Let $S \subseteq\{1,2, \ldots, n\}$ be an arbitrary subset of size $\frac{n}{2}$. What is the probability that $|S \cap T|=\frac{n}{4}$.
Let $T$ be a subset of $\{1,2, \ldots, n\}$ of size $\frac{n}{2}$, sampled uniformly at random from all subsets of size $\frac{n}{2}$ of the same set $\{1,2, \ldots, n\}$...
admin
357
views
admin
asked
Dec 15, 2022
Probability
drdocse-2022-paper1
probability
uniform-distribution
6-marks
descriptive
+
–
1
votes
0
answers
52
DRDO CSE 2022 Paper 1 | Question: 8
Given a powerset $S$ of $\{1,2,3\}$, its partial order $\leq$ is given by set inclusion. That is, for any subsets $T_{1} \neq T_{2}$ of $\{1,2,3\}$ we have $T_{1} \leq T_{2}$ if and only if $T_{1} \subset T_{2}$. Construct the Hasse diagram on $S$ under this partial order definition.
Given a powerset $S$ of $\{1,2,3\}$, its partial order $\leq$ is given by set inclusion. That is, for any subsets $T_{1} \neq T_{2}$ of $\{1,2,3\}$ we have $T_{1} \leq T_...
admin
238
views
admin
asked
Dec 15, 2022
Set Theory & Algebra
drdocse-2022-paper1
set-theory&algebra
partial-order
4-marks
descriptive
+
–
3
votes
0
answers
53
DRDO CSE 2022 Paper 1 | Question: 9
Count the number of perfect matchings in the bipartite graph whose adjacency matrix $\text{A}$ is as follows. \[\left[\begin{array}{lll} 1 & 1 & 0 \\ 0 & 1 & 1 \\ 1 & 1 & 1 \end{array}\right]\]
Count the number of perfect matchings in the bipartite graph whose adjacency matrix $\text{A}$ is as follows.\[\left[\begin{array}{lll}1 & 1 & 0 \\0 & 1 & 1 \\1 & 1 & 1\e...
admin
388
views
admin
asked
Dec 15, 2022
Graph Theory
drdocse-2022-paper1
graph-theory
bipartite-graph
graph-matching
4-marks
descriptive
+
–
1
votes
1
answer
54
DRDO CSE 2022 Paper 1 | Question: 10
Given a tree $\text{T}$ and $\lambda \geq 2$ colours $\left(c_{1}, c_{2}, \ldots, c_{\lambda}\right),$ how many proper colourings of the tree $\text{T}$ are possible?
Given a tree $\text{T}$ and $\lambda \geq 2$ colours $\left(c_{1}, c_{2}, \ldots, c_{\lambda}\right),$ how many proper colourings of the tree $\text{T}$ are possible?
admin
316
views
admin
asked
Dec 15, 2022
Graph Theory
drdocse-2022-paper1
graph-theory
graph-coloring
4-marks
descriptive
+
–
1
votes
0
answers
55
DRDO CSE 2022 Paper 1 | Question: 11
Consider the following graph. Find closeness centrality of $\text{‘A’}$ node.
Consider the following graph.Find closeness centrality of $\text{‘A’}$ node.
admin
272
views
admin
asked
Dec 15, 2022
Graph Theory
drdocse-2022-paper1
graph-theory
graph-connectivity
5-marks
descriptive
+
–
1
votes
0
answers
56
DRDO CSE 2022 Paper 1 | Question: 13
Consider the following graph. Which nodes form the cliques of size $3?$
Consider the following graph.Which nodes form the cliques of size $3?$
admin
276
views
admin
asked
Dec 15, 2022
Graph Theory
drdocse-2022-paper1
graph-theory
graph-connectivity
5-marks
descriptive
+
–
1
votes
0
answers
57
DRDO CSE 2022 Paper 1 | Question: 14
Derangements are permutations $\pi$ of the set $\{1,2, \ldots, n\}$ such that $\pi(i) \neq i.$ Compute the number of derangements on the set $1,2, \ldots, n$.
Derangements are permutations $\pi$ of the set $\{1,2, \ldots, n\}$ such that $\pi(i) \neq i.$ Compute the number of derangements on the set $1,2, \ldots, n$.
admin
181
views
admin
asked
Dec 15, 2022
Combinatory
drdocse-2022-paper1
combinatory
counting
7-marks
descriptive
+
–
1
votes
1
answer
58
DRDO CSE 2022 Paper 1 | Question: 15
What is the generating function corresponding to Fibonacci series. \[F_{n}=F_{n-1}+F_{n-2} .\] Note that $F_{0}=F_{1}=1$.
What is the generating function corresponding to Fibonacci series.\[F_{n}=F_{n-1}+F_{n-2} .\]Note that $F_{0}=F_{1}=1$.
admin
484
views
admin
asked
Dec 15, 2022
Combinatory
drdocse-2022-paper1
combinatory
generating-functions
6-marks
descriptive
+
–
1
votes
0
answers
59
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.
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 a...
admin
387
views
admin
asked
Dec 15, 2022
Combinatory
drdocse-2022-paper1
combinatory
generating-functions
5-marks
descriptive
+
–
2
votes
1
answer
60
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?
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 gar...
admin
315
views
admin
asked
Dec 15, 2022
Combinatory
drdocse-2022-paper1
combinatory
counting
5-marks
descriptive
+
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