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Recent questions tagged descriptive
1
votes
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answer
61
DRDO CSE 2022 Paper 1 | Question: 22
How many minimum number of $\text{NOR}$ gates are required to implement the function $F=A^{\prime} B^{\prime} C^{\prime}+A B C^{\prime}$
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
294
views
admin
asked
Dec 15, 2022
Digital Logic
drdocse-2022-paper1
digital-logic
min-no-gates
5-marks
descriptive
+
–
1
votes
0
answers
62
DRDO CSE 2022 Paper 1 | Question: 23
For two flip-flops $F_{1}$ and $F_{2}$ and input $\mathrm{X}$, the next state and output is given as \[ \begin{array}{c} F_{1}(t+1)=\sum(1,2,5,6) \\ F_{2}(t+1)=\sum(3,7) \\ Y\left(F_{1}, F_{2}, X\right)=\sum(4,6) \end{array} \] Write functions for the next state and output of the circuit.
For two flip-flops $F_{1}$ and $F_{2}$ and input $\mathrm{X}$, the next state and output is given as\[\begin{array}{c}F_{1}(t+1)=\sum(1,2,5,6) \\F_{2}(t+1)=\sum(3,7) \\Y\...
admin
241
views
admin
asked
Dec 15, 2022
Digital Logic
drdocse-2022-paper1
digital-logic
sequential-circuit
flip-flop
6-marks
descriptive
+
–
1
votes
0
answers
63
DRDO CSE 2022 Paper 1 | Question: 24
Given a truth table of the full adder for three inputs. Draw a full adder circuit with a decoder and two $\text{OR}$ ...
Given a truth table of the full adder for three inputs. Draw a full adder circuit with a decoder and two $\text{OR}$ gates.$$\begin{array}{|c|c|c|c|c|}\hline \mathrm{X} &...
admin
241
views
admin
asked
Dec 15, 2022
Digital Logic
drdocse-2022-paper1
digital-logic
combinational-circuit
adder
7-marks
descriptive
+
–
1
votes
1
answer
64
DRDO CSE 2022 Paper 1 | Question: 25
Simplify the Boolean function $F=W^{\prime} X^{\prime} Y^{\prime}+W X^{\prime} Y^{\prime}+W^{\prime} X Y Z^{\prime}+X^{\prime} Y Z^{\prime}$
Simplify the Boolean function $F=W^{\prime} X^{\prime} Y^{\prime}+W X^{\prime} Y^{\prime}+W^{\prime} X Y Z^{\prime}+X^{\prime} Y Z^{\prime}$
admin
328
views
admin
asked
Dec 15, 2022
Digital Logic
drdocse-2022-paper1
digital-logic
boolean-algebra
4-marks
descriptive
+
–
1
votes
1
answer
65
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.
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 nee...
admin
387
views
admin
asked
Dec 15, 2022
DS
drdocse-2022-paper1
data-structures
binary-tree
5-marks
descriptive
+
–
1
votes
2
answers
66
DRDO CSE 2022 Paper 1 | Question: 28
If the maximum height of a binary tree is $\mathrm{N},$ then how many number of nodes will there be?
If the maximum height of a binary tree is $\mathrm{N},$ then how many number of nodes will there be?
admin
280
views
admin
asked
Dec 15, 2022
DS
drdocse-2022-paper1
data-structures
binary-tree
4-marks
descriptive
+
–
1
votes
1
answer
67
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.
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 inse...
admin
508
views
admin
asked
Dec 15, 2022
DS
drdocse-2022-paper1
data-structures
stack
5-marks
descriptive
+
–
1
votes
0
answers
68
DRDO CSE 2022 Paper 1 | Question: 30
If the prefix traversal order of a tree is $*+\mathbf{a} \mathbf{b}-\mathbf{c} \mathbf{d}$. Then, find the equivalent postfix order of the that tree.
If the prefix traversal order of a tree is $*+\mathbf{a} \mathbf{b}-\mathbf{c} \mathbf{d}$. Then, find the equivalent postfix order of the that tree.
admin
270
views
admin
asked
Dec 15, 2022
DS
drdocse-2022-paper1
data-structures
tree-traversal
3-marks
descriptive
+
–
2
votes
0
answers
69
DRDO CSE 2022 Paper 1 | Question: 31
How many topological sortings (or topological orderings) does the given directed graph have?
How many topological sortings (or topological orderings) does the given directed graph have?
admin
232
views
admin
asked
Dec 15, 2022
Algorithms
drdocse-2022-paper1
algorithms
topological-sort
4-marks
descriptive
+
–
1
votes
0
answers
70
DRDO CSE 2022 Paper 1 | Question: 32 (a)
Let us suppose we are given an integer $N$ in binary representation. Let us consider the following algorithm to check if $N$ is a prime. For every $i$ such that $2 \leq i \leq\lceil\sqrt{N}\rceil$, check if $i$ divides $N$. ... $i$ is a prime. Based on this information, answer the following. Explain why iterating till $\lceil\sqrt{N}\rceil$ is sufficient.
Let us suppose we are given an integer $N$ in binary representation. Let us consider the following algorithm to check if $N$ is a prime.For every $i$ such that $2 \leq i ...
admin
372
views
admin
asked
Dec 15, 2022
Algorithms
drdocse-2022-paper1
algorithms
2-marks
descriptive
+
–
1
votes
0
answers
71
DRDO CSE 2022 Paper 1 | Question: 33 (a)
Consider the following graph. How many nodes (apart from $s$) does the Breadth First Search algorithm discover before discovering $t$ when starting from $s$.
Consider the following graph.How many nodes (apart from $s$) does the Breadth First Search algorithm discover before discovering $t$ when starting from $s$.
admin
338
views
admin
asked
Dec 15, 2022
Algorithms
drdocse-2022-paper1
algorithms
graph-algorithms
breadth-first-search
2-marks
descriptive
+
–
0
votes
1
answer
72
Parsing Table | Shift Reduce Parsers | Numerical Answer
Consider the following statements regarding the Parsing Table of a shift reduce parser, for any given grammar No. of states/ size of parse table is same for all Shift-Reduce Parsers. No. of states/ size of parse table in LR(0), SLR(1 ... CORRECT statement is _______ (For example, if statement 1 and 7 are correct, answer would be 1+7, i.e. 8)
Consider the following statements regarding the “Parsing Table” of a shift reduce parser, for any given grammarNo. of states/ size of parse table is same for all Shif...
Souvik33
688
views
Souvik33
asked
Dec 11, 2022
Compiler Design
compiler-design
parsing
lr-parser
numerical-answers
difficult
descriptive
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–
0
votes
1
answer
73
Provided by teacher, topic -arguments
Show that: (r → ~ q, r ∪ S, S → ~ q, p → q) ↔ ~ p are inconsistent.
Show that: (r → ~ q, r ∪ S, S → ~ q, p → q) ↔ ~ pare inconsistent.
raj-123
285
views
raj-123
asked
Nov 26, 2022
Mathematical Logic
mathematical-logic
propositional-logic
descriptive
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0
votes
1
answer
74
Solve the simultaneous recurrence relations
an = an−1 + bn−1 bn = an−1 − bn−1 with a0 = 1 and b0 = 2.
an = an−1 + bn−1bn = an−1 − bn−1with a0 = 1 and b0 = 2.
chinman12
374
views
chinman12
asked
Nov 25, 2022
Combinatory
discrete-mathematics
counting
recurrence-relation
descriptive
+
–
0
votes
0
answers
75
DRDO Scientist B exam suggestions
Does anyone have any experience of giving DRDO Scientist-B exam? The official site says its a descriptive examination but how to write answers in a better way(apart from mathematical questions)? I am asking this as I am sure this ... exams. Any pointers about answer writing, expected topics, expected cutoff, links to question papers are apprciated. Thank you!
Does anyone have any experience of giving DRDO Scientist-B exam? The official site says its a descriptive examination but how to write answers in a better way(apart from ...
RinkeshP
351
views
RinkeshP
asked
Nov 21, 2022
Others
descriptive
non-gate
placement-questions
job
+
–
0
votes
0
answers
76
operating sysytem
a system has four processes and five allocable resources the current allocation and maximum needs are as follows Allocated Maximum Available process A 10211 11213 00x11 process B 20110 22210 process C 11010 21310 process D 11110 11221
a system has four processes and five allocable resources the current allocation and maximum needs are as follows Allocated Maximum ...
Skarma Angmo
439
views
Skarma Angmo
asked
Sep 16, 2022
Operating System
operating-system
deadlock-prevention-avoidance-detection
descriptive
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–
0
votes
0
answers
77
ISI 2020 | PCB Mathematics | Question: 5.2
Deduce that if $N, H, K$ are normal subgroups of a group $G$ such that $ N \bigcap H=N \bigcap K=H \bigcap K=\left\{e_{G}\right\} $ and $G=H K$, then $N$ is an Abelian group.
Deduce that if $N, H, K$ are normal subgroups of a group $G$ such that $$ N \bigcap H=N \bigcap K=H \bigcap K=\left\{e_{G}\right\} $$ and $G=H K$, then $N$ is an Abelian ...
admin
186
views
admin
asked
Aug 25, 2022
Others
isi2020-pcb-mathematics
descriptive
+
–
0
votes
0
answers
78
ISI2020-PCB-CS: 8.2
Consider the following state diagram of a sequential circuit, where each of a, b, c, d, e, f and g represents a state. Represent the state diagram with minimum number of states without altering the input-output relationships. Justify your answer.
Consider the following state diagram of a sequential circuit, where each of a, b, c, d, e, f and g represents a state. Represent thestate diagram with minimum number of s...
admin
311
views
admin
asked
Aug 25, 2022
Others
isi2020-pcb-cs
descriptive
+
–
1
votes
1
answer
79
ISI 2021 | PCB CS | Question: 7.b
Consider a $4$-way set associative cache mapping, in which the cache blocks are grouped into sets and each set has $4$ blocks. There are $16$ cache blocks in total. The following memory block requests arrive in order when ... . Show the cache configuration (along with intermediate configurations) on meeting the above memory requirements. What is the hit ratio?
Consider a $4$-way set associative cache mapping, in which the cache blocks are grouped into sets and each set has $4$ blocks. There are $16$ cache blocks in total. The f...
admin
788
views
admin
asked
Aug 24, 2022
CO and Architecture
isi2021-pcb-cs
descriptive
co-and-architecture
cache-memory
+
–
1
votes
3
answers
80
ISI2020-PCB-CS: 1.3
What does the following function compute for $x \neq 0?$ float isi1(float x, int y) { if (y==0) { return 1; } else if (y>0) { return isi1(x,-y); } else { return isi1(x, y+1)/x; } }
What does the following function compute for $x \neq 0?$float isi1(float x, int y) { if (y==0) { return 1; } else if (y>0) { return isi1(x,-y); } else { return isi1(x, y+...
admin
549
views
admin
asked
Aug 18, 2022
Programming in C
isi2020-pcb-cs
identify-function
descriptive
+
–
1
votes
1
answer
81
ISI2020-PCB-CS: 1.2
What will be the output of the following C program? Justify your answer. Negative numbers are represented in $2$'s complement, #include<stdio.h> int main() { if (-~-1) printf("COVID"); if ((~7 & Ox000f ) == 8) printf (“19”); printf ("*"); }
What will be the output of the following C program? Justify your answer. Negative numbers are represented in $2$'s complement,#include<stdio.h int main() { if (-~-1) prin...
admin
465
views
admin
asked
Aug 18, 2022
Programming in C
isi2020-pcb-cs
programming
programming-in-c
number-representation
descriptive
+
–
0
votes
0
answers
82
ISI 2019 | PCB Mathematics | Question: 1
Let $\left\{a_{n}\right\}$ be a decreasing sequence such that $\displaystyle{}\sum_{n=1}^{\infty} a_{n}$ is convergent. Prove that the sequence $\left\{n a_{n}\right\}$ goes to zero as $n \rightarrow \infty$.
Let $\left\{a_{n}\right\}$ be a decreasing sequence such that $\displaystyle{}\sum_{n=1}^{\infty} a_{n}$ is convergent. Prove that the sequence $\left\{n a_{n}\right\}$ g...
admin
312
views
admin
asked
Aug 8, 2022
Others
isi2019-pcb-mathematics
descriptive
+
–
0
votes
1
answer
83
ISI 2019 | PCB Mathematics | Question: 2
Consider an $n \times n$ matrix $A=I_{n}-\alpha \alpha^{T}$, where $I_{n}$ is the identity matrix of order $n$ and $\alpha$ is an $n \times 1$ column vector such that $\alpha^{T} \alpha=1$. Prove that $A^{2}=A.$
Consider an $n \times n$ matrix $A=I_{n}-\alpha \alpha^{T}$, where $I_{n}$ is the identity matrix of order $n$ and $\alpha$ is an $n \times 1$ column vector such that $\a...
admin
109
views
admin
asked
Aug 8, 2022
Others
isi2019-pcb-mathematics
descriptive
+
–
1
votes
0
answers
84
ISI 2019 | PCB Mathematics | Question: 3
Let $A$ and $B$ be two invertible real matrices of order $n$. Show that $\det(x A+(1-x) B)=0$ has finitely many solutions for $x.$
Let $A$ and $B$ be two invertible real matrices of order $n$. Show that $\det(x A+(1-x) B)=0$ has finitely many solutions for $x.$
admin
378
views
admin
asked
Aug 8, 2022
Others
isi2019-pcb-mathematics
descriptive
+
–
0
votes
0
answers
85
ISI 2019 | PCB Mathematics | Question: 4
Show that for every $\theta \in\left(0, \frac{\pi}{2}\right),$ there exists a unique real number $x_{\theta}$ such that $ (\sin \theta)^{x_{\theta}}+(\cos \theta)^{x_{\theta}}=\frac{3}{2} . $
Show that for every $\theta \in\left(0, \frac{\pi}{2}\right),$ there exists a unique real number $x_{\theta}$ such that $$ (\sin \theta)^{x_{\theta}}+(\cos \theta)^{x_{\t...
admin
84
views
admin
asked
Aug 8, 2022
Others
isi2019-pcb-mathematics
descriptive
+
–
0
votes
0
answers
86
ISI 2019 | PCB Mathematics | Question: 5
Suppose $f$ and $g$ are continuous real valued functions on $[a, b]$ and are differentiable on $(a, b)$. Assume that $g^{\prime}(x) \neq 0$ for any $x \in(a, b)$. Prove that there exists $\xi \in(a, b)$ such that $ \frac{f^{\prime}(\xi)}{g^{\prime}(\xi)}=\frac{f(b)-f(a)}{g(b)-g(a)} $
Suppose $f$ and $g$ are continuous real valued functions on $[a, b]$ and are differentiable on $(a, b)$. Assume that $g^{\prime}(x) \neq 0$ for any $x \in(a, b)$. Prove t...
admin
158
views
admin
asked
Aug 8, 2022
Others
isi2019-pcb-mathematics
descriptive
+
–
0
votes
0
answers
87
ISI 2019 | PCB Mathematics | Question: 6
Consider the function $f: \mathbb{R}^{2} \rightarrow \mathbb{R}$ defined by $ f(0,0)=0, \quad f(x, y)=\frac{x y}{x^{2}+y^{2}}, \quad(x, y) \neq(0,0) . $ Prove that the directional derivative of $f$ at $(0,0)$ exists in all directions. Is $f$ continuous at $(0,0)$ ? Justify your answer.
Consider the function $f: \mathbb{R}^{2} \rightarrow \mathbb{R}$ defined by $$ f(0,0)=0, \quad f(x, y)=\frac{x y}{x^{2}+y^{2}}, \quad(x, y) \neq(0,0) . $$ Prove that the ...
admin
142
views
admin
asked
Aug 8, 2022
Others
isi2019-pcb-mathematics
descriptive
+
–
0
votes
0
answers
88
ISI 2019 | PCB Mathematics | Question: 7
Solve the differential equation $ x^{2}\left(x^{2}-1\right) \frac{d y}{d x}+x\left(x^{2}+1\right) y=x^{2}-1 . $
Solve the differential equation $$ x^{2}\left(x^{2}-1\right) \frac{d y}{d x}+x\left(x^{2}+1\right) y=x^{2}-1 . $$
admin
202
views
admin
asked
Aug 8, 2022
Others
isi2019-pcb-mathematics
descriptive
+
–
0
votes
0
answers
89
ISI 2019 | PCB Mathematics | Question: 8
Let $f$ be a real valued function on $\mathbb{R}$. If for all real $x$, $ f(x)+3 f(1-x)=5 $ holds, then show that $f$ is a constant function.
Let $f$ be a real valued function on $\mathbb{R}$. If for all real $x$, $$ f(x)+3 f(1-x)=5 $$ holds, then show that $f$ is a constant function.
admin
88
views
admin
asked
Aug 8, 2022
Others
isi2019-pcb-mathematics
descriptive
+
–
0
votes
0
answers
90
ISI 2019 | PCB Mathematics | Question: 9
Let $f:[0,1] \rightarrow[0, \infty)$ be a continuous function. Let $ a=\inf _{0 \leq x \leq 1} f(x) \text { and } b=\sup _{0 \leq x \leq 1} f(x) . $ For every positive integer $m$ ... $c_{m} \in[a, b]$, for all $m \geq 1$, $\displaystyle{}\lim _{m \rightarrow \infty} c_{m}$ exists and find its value.
Let $f:[0,1] \rightarrow[0, \infty)$ be a continuous function. Let $$ a=\inf _{0 \leq x \leq 1} f(x) \text { and } b=\sup _{0 \leq x \leq 1} f(x) . $$ For every positive ...
admin
222
views
admin
asked
Aug 8, 2022
Others
isi2019-pcb-mathematics
descriptive
+
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