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Questions with numerical answers and no options. No negative marks for these questions.
Recent questions tagged numerical-answers
1
vote
1
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31
GATE CSE 2024 | Set 2 | Question: 51
A processor uses a $32$-bit instruction format and supports byte-addressable memory access. The $\text{ISA}$ of the processor has $150$ distinct instructions. The instructions are equally divided into two types, namely $\text{R}$ ... the number of bits used to encode the immediate value/address field. The value of $\text{X+2Y+Z}$ is __________.
Arjun
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CO and Architecture
Feb 16
by
Arjun
1.5k
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gatecse2024-set2
numerical-answers
co-and-architecture
0
votes
1
answer
32
GATE CSE 2024 | Set 1 | Question: 22
Let $A$ and $B$ be non-empty finite sets such that there exist one-to-one and onto functions $\text{(i)}$ from $A$ to $B$ and $\text{(ii)}$ from $A \times A$ to $A \cup B$. The number of possible values of $\text{|A|}$ is ___________.
Arjun
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Set Theory & Algebra
Feb 16
by
Arjun
1.6k
views
gatecse2024-set1
numerical-answers
set-theory&algebra
2
votes
1
answer
33
GATE CSE 2024 | Set 1 | Question: 23
Consider the operator precedence and associativity rules for the integer arithmetic operators given in the table below. Operator Precedence Associativity + Highest Left - High Right * Medium Right / Low Right The value of the expression $3+1+5 * 2 / 7+2-4-7-6 / 2$ as per the above rules is ________.
Arjun
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in
Compiler Design
Feb 16
by
Arjun
2.0k
views
gatecse2024-set1
numerical-answers
compiler-design
2
votes
2
answers
34
GATE CSE 2024 | Set 1 | Question: 24
The number of spanning trees in a complete graph of $4$ vertices labelled $\text{A, B, C,}$ and $\text{D}$ is _________.
Arjun
asked
in
Algorithms
Feb 16
by
Arjun
1.6k
views
gatecse2024-set1
numerical-answers
algorithms
1
vote
1
answer
35
GATE CSE 2024 | Set 1 | Question: 25
Consider the following two relations, $R(A, B)$ and $S(A, C)$: $R$ $A$ $B$ $10$ $20$ $20$ $30$ $30$ $40$ $30$ $50$ $50$ $95$ $S$ $A$ $C$ $10$ $90$ $30$ $45$ $40$ $80$ The total number of tuples obtained by evaluating the following expression $\sigma_{B<C}\left(R \bowtie_{R . A=S . A} S\right)$ is ___________.
Arjun
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in
Databases
Feb 16
by
Arjun
1.6k
views
gatecse2024-set1
numerical-answers
databases
0
votes
2
answers
36
GATE CSE 2024 | Set 1 | Question: 44
Consider a $512$ GB hard disk with $32$ storage surfaces. There are $4096$ sectors per track and each sector holds $1024$ bytes of data. The number of cylinders in the hard disk is _________.
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in
Operating System
Feb 16
by
Arjun
1.3k
views
gatecse2024-set1
numerical-answers
operating-system
0
votes
2
answers
37
GATE CSE 2024 | Set 1 | Question: 45
The baseline execution time of a program on a $2 \mathrm{GHz}$ single core machine is $100$ nanoseconds ( $n s)$. The code corresponding to $90 \%$ of the execution time can be fully parallelized. The overhead for using an ... the parallelized code for an equal amount of time. The number of cores that minimize the execution time of the program is __________.
Arjun
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in
CO and Architecture
Feb 16
by
Arjun
1.5k
views
gatecse2024-set1
numerical-answers
co-and-architecture
1
vote
2
answers
38
GATE CSE 2024 | Set 1 | Question: 46
A given program has $25 \%$ load/store instructions. Suppose the ideal $\text{CPI}$ (cycles per instruction) without any memory stalls is $2$. The program exhibits $2 \%$ miss rate on instruction cache and $8 \%$ miss rate on data ... rounded off to two decimal places) achieved with a perfect cache (i.e., with NO data or instruction cache misses) is __________.
Arjun
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in
CO and Architecture
Feb 16
by
Arjun
2.4k
views
gatecse2024-set1
numerical-answers
co-and-architecture
0
votes
2
answers
39
GATE CSE 2024 | Set 1 | Question: 47
Consider the following code snippet using the fork () and wait () system calls. Assume that the code compiles and runs correctly, and that the system calls run successfully without any errors. int $\mathrm{x}=3$; while $(\mathrm{x}>0)$ ... ("hello"); wait (NULL) ; X-- ; } The total number of times the printf statement is executed is __________.
Arjun
asked
in
Operating System
Feb 16
by
Arjun
1.9k
views
gatecse2024-set1
numerical-answers
operating-system
2
votes
2
answers
40
GATE CSE 2024 | Set 1 | Question: 48
Consider the entries shown below in the forwarding table of an $\text{IP}$ router. Each entry consists of an $\text{IP}$ prefix and the corresponding next hop router for packets whose destination $\text{IP}$ address matches the prefix. The notation " ... and $10.1.1.205$. The number of packets forwarded via the next hop router $\mathrm{R} 2$ is __________.
Arjun
asked
in
Computer Networks
Feb 16
by
Arjun
1.7k
views
gatecse2024-set1
numerical-answers
computer-networks
0
votes
1
answer
41
GATE CSE 2024 | Set 1 | Question: 49
Let $G=(V, \Sigma, S, P)$ be a context-free grammar in Chomsky Normal Form with $\Sigma=\{a, b, c\}$ and $V$ containing $10$ variable symbols including the start symbol $S$. The string $w=a^{30} b^{30} c^{30}$ is derivable from $S$. The number of steps (application of rules) in the derivation $S \rightarrow^* w$ is __________.
Arjun
asked
in
Compiler Design
Feb 16
by
Arjun
1.2k
views
gatecse2024-set1
numerical-answers
compiler-design
0
votes
1
answer
42
GATE CSE 2024 | Set 1 | Question: 50
The number of edges present in the forest generated by the $\text{DFS}$ traversal of an undirected graph $G$ with $100$ vertices is $40$. The number of connected components in $G$ is __________.
Arjun
asked
in
Algorithms
Feb 16
by
Arjun
1.6k
views
gatecse2024-set1
numerical-answers
2
votes
3
answers
43
GATE CSE 2024 | Set 1 | Question: 51
Consider the following two regular expressions over the alphabet $\{0,1\}$ : $r= 0^{*}+1^{*}$ $s = 01^{*} + 10^{*}$ The total number of strings of length less than or equal to $5$, which are neither in $r$ nor in $s$, is ________.
Arjun
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in
Theory of Computation
Feb 16
by
Arjun
1.5k
views
gatecse2024-set1
numerical-answers
theory-of-computation
1
vote
3
answers
44
GATE CSE 2024 | Set 1 | Question: 52
Consider a memory management system that uses a page size of $2 \mathrm{~KB}$. Assume that both the physical and virtual addresses start from $0$. Assume that the pages $0,1,2$, and $3$ ... $0$, respectively. The physical address (in decimal format) corresponding to the virtual address $2500$ (in decimal format) is ___________.
Arjun
asked
in
Operating System
Feb 16
by
Arjun
1.6k
views
gatecse2024-set1
numerical-answers
operating-system
0
votes
2
answers
45
GATE CSE 2024 | Set 1 | Question: 53
A bag contains $10$ red balls and $15$ blue balls. Two balls are drawn randomly without replacement. Given that the first ball drawn is red, the probability (rounded off to $3$ decimal places) that both balls drawn are red is ___________.
Arjun
asked
in
Probability
Feb 16
by
Arjun
1.8k
views
gatecse2024-set1
numerical-answers
probability
1
vote
3
answers
46
GATE CSE 2024 | Set 1 | Question: 54
Consider a digital logic circuit consisting of three $2$-to-$1$ multiplexers $\text{M1, M2}$, and $\text{M3}$ as shown below. $\mathrm{X} 1$ and $\mathrm{X} 2$ are inputs of $\mathrm{M} 1$. $\text{X3}$ and $\text{X4}$ are inputs ... the number of combinations of $\mathrm{A}, \mathrm{B}, \mathrm{C}$ that give the output $\mathbf{Y}=\mathbf{1}$ is ____________.
Arjun
asked
in
Digital Logic
Feb 16
by
Arjun
1.8k
views
gatecse2024-set1
numerical-answers
digital-logic
multiplexer
0
votes
1
answer
47
GATE CSE 2024 | Set 1 | Question: 55
Consider sending an $\text{IP}$ datagram of size $1420$ bytes (including $20$ bytes of $\text{IP}$ ... ) has an $\text{MTU}$ size of $360$ bytes. The number of fragments that would be delivered at the receiver is ____________.
Arjun
asked
in
Computer Networks
Feb 16
by
Arjun
2.1k
views
gatecse2024-set1
numerical-answers
computer-networks
6
votes
3
answers
48
GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 14
A B-Tree of order $m$ is an $m$-way search tree. What is the minimum number of keys that can be stored on the leaf level of a B-Tree of order 20 with 3 levels? (Note: the root of a tree counts as its first level)
GO Classes
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in
Databases
Feb 5
by
GO Classes
605
views
goclasses2024-mockgate-14
numerical-answers
databases
b-tree
1-mark
4
votes
1
answer
49
GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 43
What will be the output of the following C program? #include <stdio.h> void Mickey(int**, int, int); void Mouse(int, int*); int main() { int a = 2, b = 3, c = 4; int *points = &a; Mickey(&points, b, c); printf("%d", ... x; *p = **points+1; Mouse(z, p); return; } void Mouse(int z, int *p) { *p = *p+1; return; }
GO Classes
asked
in
Programming in C
Feb 5
by
GO Classes
358
views
goclasses2024-mockgate-14
numerical-answers
programming
programming-in-c
functions
2-marks
5
votes
2
answers
50
GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 44
Let $B$ be a binary search tree (BST) with eight nodes filled with the following set of eight integer keys $A=\{10,2,5,3,20,15,9,22\}$. The order in which these keys were inserted to create $B$ is not known. However ... are required to verify if all eight keys of $A$ are present in $B$. How many leaf nodes are present in B?
GO Classes
asked
in
DS
Feb 5
by
GO Classes
414
views
goclasses2024-mockgate-14
numerical-answers
data-structures
binary-search-tree
2-marks
7
votes
1
answer
51
GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 45
Consider a stack whose elements are unsigned integers and support the following operations: PUSH a: Pushes the element 'a' onto the stack. ADD: Adds the two topmost elements, removes them, and pushes the result. SQR: ... once, count it as many times as it is used. Your final count should include initial 3 PUSH instructions.
GO Classes
asked
in
DS
Feb 5
by
GO Classes
468
views
goclasses2024-mockgate-14
numerical-answers
data-structures
stack
2-marks
4
votes
0
answers
52
GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 53
The grammar shown below is LL(k) for some value of k. What is the smallest value of k for which this grammar is LL(k)?
GO Classes
asked
in
Compiler Design
Feb 5
by
GO Classes
835
views
goclasses2024-mockgate-14
numerical-answers
compiler-design
parsing
ll-parser
2-marks
4
votes
1
answer
53
GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 55
Consider the cache of size 512 bytes that is direct-mapped? Suppose the size of integer is 4 bytes and block size is 16 bytes. Assume cache is initially empty and all data except for the array x are stored in registers, and that the ... ) { sum += x[i]; } What is the miss rate for the above loop? (roundoff to two decimal places)
GO Classes
asked
in
CO and Architecture
Feb 5
by
GO Classes
380
views
goclasses2024-mockgate-14
numerical-answers
co-and-architecture
cache-memory
page-fault
2-marks
6
votes
2
answers
54
GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 56
The coefficient of $x^6$ in the expansion of $A(x)$ is, where $ A(x)=\frac{x(1+x)}{(1-x)^3} $
GO Classes
asked
in
Combinatory
Feb 5
by
GO Classes
490
views
goclasses2024-mockgate-14
numerical-answers
combinatory
recurrence-relation
2-marks
6
votes
1
answer
55
GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 57
A strongly connected component $(\mathrm{SCC})$ of a directed graph $\mathrm{G}=(\mathrm{V}, \mathrm{E})$ ... ; edges in its associated directed acyclic graph $G^{\prime}$ be $A, B$ respectively, then what is $A+B?$
GO Classes
asked
in
Graph Theory
Feb 5
by
GO Classes
488
views
goclasses2024-mockgate-14
numerical-answers
graph-theory
graph-connectivity
2-marks
2
votes
1
answer
56
GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 59
Consider the shift register circuit shown in below figure. Assume that $\mathbf{I}_3 \mathbf{I}_2 \mathbf{I}_1 \mathbf{I}_0=0101$ has been loaded in the 4-bit register using the parallel load mechanism (i.e., shift=0 ... consecutive positive edges of the clock signal we need to keep shift=1 such that zero detect is activated to a 1?
GO Classes
asked
in
Digital Logic
Feb 5
by
GO Classes
437
views
goclasses2024-mockgate-14
numerical-answers
digital-logic
sequential-circuit
shift-registers
2-marks
2
votes
1
answer
57
Memory Based GATE DA 2024 | Question: 1
Consider the probability density function \(f(x) = \lambda e^{-\lambda x}\) for \(x \geq 0\) and \(\lambda > 0\). Determine the value of \(\lambda\) such that \(5E(x) = V(x)\).
GO Classes
asked
in
Probability
Feb 4
by
GO Classes
291
views
gate2024-da-memory-based
goclasses
probability
expectation
numerical-answers
1
vote
1
answer
58
Memory Based GATE DA 2024 | Question: 2
How many unique four-digit numbers can be created using the digits 1, 3, 4, and 6, with each digit appearing only once, such that the resulting number is divisible by 3?
GO Classes
asked
in
Quantitative Aptitude
Feb 4
by
GO Classes
286
views
gate2024-da-memory-based
numerical-answers
goclasses
quantitative-aptitude
number-system
1
vote
2
answers
59
Memory Based GATE DA 2024 | Question: 3
Evaluate the limit: \[ \lim_{{x \to 0}} \frac{\ln \left(\left(x^2+1\right) \cos x\right)}{x^2} \]
GO Classes
asked
in
Calculus
Feb 4
by
GO Classes
434
views
gate2024-da-memory-based
goclasses
calculus
limits
numerical-answers
2
votes
2
answers
60
Memory Based GATE DA 2024 | Question: 4
Consider the matrix \[ \mathrm{M} = \begin{bmatrix} 1 & 2 & 3 \\ 3 & 1 & 3 \\ 4 & 3 & 6 \end{bmatrix} \] Find the value of \(|\mathrm{M}^2 + 12M|\).
GO Classes
asked
in
Linear Algebra
Feb 4
by
GO Classes
425
views
gate2024-da-memory-based
goclasses
linear-algebra
determinant
numerical-answers
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