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User Kabir5454
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Answers by Kabir5454
4
votes
1
GATE CSE 2024 | Set 2 | Question: 34
Let $x$ and $y$ be random variables, not necessarily independent, that take real values in the interval $[0,1]$. Let $z=x y$ and let the mean values of $x, y, z$ be $\bar{x}, \bar{y}, \bar{z}$ ... $\bar{z} \leq \bar{x} \bar{y}$ $\bar{z} \geq \bar{x} \bar{y}$ $\bar{z} \leq \bar{x}$
answered
in
Probability
Feb 17
2.3k
views
gatecse2024-set2
probability
random-variable
3
votes
2
GATE CSE 2024 | Set 2 | Question: 5
Let $\text{T(n)}$ be the recurrence relation defined as follows: \[ \begin{array}{l} T(0)=1, \\ T(1)=2, \text { and } \\ T(n)=5 T(n-1)-6 T(n-2) \text { for } n \geq 2 \end{array} \] Which one of the following statements is TRUE? $T(n)=\Theta\left(2^{n}\right)$ $T(n)=\Theta\left(n 2^{n}\right)$ $T(n)=\Theta\left(3^{n}\right)$ $T(n)=\Theta\left(n 3^{n}\right)$
answered
in
Algorithms
Feb 16
2.0k
views
gatecse2024-set2
algorithms
recurrence-relation
asymptotic-notation
3
votes
3
GATE DS&AI 2024 | GA Question: 4
The sum of the following infinite series is \[ 2+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{8}+\frac{1}{9}+\frac{1}{16}+\frac{1}{27}+\cdots \] $11 / 3$ $7 / 2$ $13 / 4$ $9 / 2$
answered
in
Quantitative Aptitude
Feb 16
1.4k
views
gate-ds-ai-2024
quantitative-aptitude
sequence-series
1
vote
4
GATE DS&AI 2024 | GA Question: 3
How many $4$-digit positive integers divisible by $3$ can be formed using only the digits $\{1,3,4,6,7\}$, such that no digit appears more than once in a number? $24$ $48$ $72$ $12$
answered
in
Quantitative Aptitude
Feb 16
1.8k
views
gate-ds-ai-2024
quantitative-aptitude
permutation-combination
0
votes
5
Planar Graphs | Graph Theory | Selfdoubt
In a Connected Planar Bipartite Graph of order 10 atmost how many edges be present ?
answered
in
Graph Theory
May 4, 2023
496
views
self-doubt
graph-planarity
graph-theory
1
vote
6
TIFR CSE 2023 | Part A | Question: 14
Let $f(x)=a x^{3}+b x^{2}+c x+d$ be a polynomial, where $a, b, c, d$ are unknown real numbers. It is further given that $f(1)=1, f(2)=2, f(3)=9$, and $f^{\prime}(1)=0$. Then, the value of $f^{\prime}(2)$ must be $1$ $2$ $3$ $4$ $f^{\prime}(2)$ cannot be determined uniquely from the information given in the question.
answered
in
Calculus
Apr 9, 2023
492
views
tifr2023
calculus
differentiation
1
vote
7
TIFR CSE 2023 | Part A | Question: 4
Let $\mathbb{R}$ be the set of all real numbers. Consider the relation $T$ defined as \[ T=\{(x, y) \in \mathbb{R} \times \mathbb{R} \text { such that } 4+x y>0\} \] $($Recall that ... but not symmetric an equivalence relation reflexive and symmetric but not transitive symmetric but not reflexive and not transitive symmetric and transitive but not reflexive
answered
in
Set Theory & Algebra
Apr 9, 2023
417
views
tifr2023
set-theory&algebra
relations
0
votes
8
TIFR CSE 2023 | Part B | Question: 11
Let $m=2877426671$. It is known that $p=5754853343=2 m+1$ is a $10$ -digit prime number. What is $16^{m}(\bmod p)$ ? $1$ $4$ $16$ $2877426671$ $5754853342 \;($ which is actually $-1(\bmod p))$
answered
in
Quantitative Aptitude
Apr 6, 2023
384
views
tifr2023
quantitative-aptitude
modular-arithmetic
5
votes
9
TIFR CSE 2023 | Part B | Question: 6
What is the solution to the following recurrence? \[ T(n)=\left\{\begin{array}{ll} 1 & \text { if } n \leq 10, \\ \sqrt{n} \cdot T(\sqrt{n})+n & \text { if } n>10. \end{array}\right. \] $T(n)=\Theta\left(n^{2}\right)$ $T(n)=\Theta(n \log n)$ $T(n)=\Theta(n \sqrt{\log n})$ $T(n)=\Theta(n \log \log n)$ None of the above
answered
in
Algorithms
Apr 3, 2023
565
views
tifr2023
algorithms
recurrence-relation
time-complexity
2
votes
10
TIFR Mathematics 2023 | Part A | Question: 20
Let ... $A$ is infinite. $A$ is empty. $A$ is singleton. $A$ is finite, but neither empty nor singleton.
answered
in
Others
Mar 25, 2023
310
views
tifrmaths2023
0
votes
11
TIFR CSE 2023 | Part B | Question: 2
Which of the following is true about the set of regular languages and the set of recursively enumerable languages over a finite alphabet $\Sigma?$ The set of regular languages is countable while the set of recursively enumerable languages ... whether the set of recursively enumerable languages is countable or not is not known and is a longstanding open problem.
answered
in
Theory of Computation
Mar 14, 2023
526
views
tifr2023
theory-of-computation
identify-class-language
22
votes
12
GATE CSE 2023 | Question: 48
Consider a computer system with $57$-bit virtual addressing using multi-level tree-structured page tables with $\mathrm{L}$ levels for virtual to physical address translation. The page size is $4 \mathrm{~KB}(1 \mathrm{~KB}=1024 \mathrm{~B})$ and a page table entry at any of the levels occupies $8$ bytes. The value of $\mathrm{L}$ is ______________.
answered
in
Operating System
Feb 19, 2023
11.3k
views
gatecse-2023
operating-system
multilevel-paging
numerical-answers
2-marks
8
votes
13
GATE CSE 2023 | GA Question: 7
Consider two functions of time $(t),$ $ \begin{gathered} f(t)=0.01 t^2 \\ g(t)=4 t \end{gathered} $ where $0<t<\infty.$ Now consider the following two statements: For some $t>0, g(t)>f(t)$. There exists a $T,$ ... is $\text{TRUE}?$ only (i) is correct only (ii) is correct both (i) and (ii) are correct neither (i) nor (ii) is correct
answered
in
Quantitative Aptitude
Feb 16, 2023
6.7k
views
gatecse-2023
quantitative-aptitude
functions
2-marks
2
votes
14
Testbook set theory question for abelian group and generators
Given: Statement A: All cyclic groups are an abelian group. Statement B: The order of the cyclic group is the same as the order of its generator. 1 A and B are false 2 A is true, B is false 3 B is true, A is false 4 A and B both are true
answered
in
Set Theory & Algebra
Jan 27, 2023
497
views
set-theory&algebra
abelian-group
3
votes
15
Testbook group theory question
Let G be a group of order 49. Then G is abelian G is cyclic G is non-abelian Centre of G has order 7
answered
in
Set Theory & Algebra
Jan 27, 2023
496
views
set-theory&algebra
abelian-group
testbook-test-series
2
votes
16
limits
the value of $lim_{x-> 0}(1-sinx.cosx)^{cosec2x}$ is: A $e^{2}$ B $e^{-2}$ C$e^{1/2}$ D $e^{-1/2}$
answered
in
Calculus
Jan 16, 2023
396
views
limits
7
votes
17
Made Easy Mock -1
how to approach this question?
answered
in
Probability
Dec 30, 2022
595
views
numerical-answers
made-easy-test-series
probability
expectation
3
votes
18
All reflexive relations are anti-symmetric
Is the statement true that all reflexive relations are anti-symmetric?
answered
in
Set Theory & Algebra
Dec 27, 2022
345
views
relations
discrete-mathematics
1
vote
19
ZEAL SERIES
What should be the answer?
answered
in
Programming in C
Dec 23, 2022
489
views
programming-in-c
zeal
1
vote
20
ZEAL TESTSERIES
Options: 10, 12,14, 16, 18, 20 20, 18, 16, 14, 12, 10 12, 10, 16, 14, 20, 18 NONE
answered
in
DS
Dec 22, 2022
522
views
test-series
zeal
2
votes
21
Gate@Zeal 2022
Answer 1.03
answered
in
CO and Architecture
Dec 20, 2022
444
views
pipelining
numerical-answers
zeal-test-series
2
votes
22
CO and Arcitecture | RISC | Instruction pipelining
MSQ Which among the following statements is/are TRUE for a pipelined RISC computer. PC is usually incremented during Instruction Cycle (IF,ID) PC may be incremented during Execution Cycle (EX,MA,WB) Filling the Accumulator ... during the Instruction Cycle (IF,ID) All non-register memory fetching operations are done in Load instructions only.
answered
in
CO and Architecture
Dec 16, 2022
785
views
pipelining
multiple-selects
co-and-architecture
machine-instruction
instruction-execution
4
votes
23
OS Self doubt Memory management
Suppose that a machine has 42-bit virtual addresses and 32-bit physical addresses. {a} How much RAM can the machine support (each byte of RAM must be addressable)? {b} What is the largest virtual address space that can be supported for a process? ... each second-level page table? {f} What is the advantage of using a two-level page table over single-level page table?
answered
in
Operating System
Nov 27, 2022
834
views
operating-system
memory-management
virtual-memory
2
votes
24
Solve the simultaneous recurrence relations
an = an−1 + bn−1 bn = an−1 − bn−1 with a0 = 1 and b0 = 2.
answered
in
Combinatory
Nov 26, 2022
375
views
discrete-mathematics
counting
recurrence-relation
descriptive
2
votes
25
Test-Series
Consider the following language given below: I. L1= { $p^xq^y$ |; x,y >0 } II. L2 = {$p^xq^yp^z$ |$ x>y$ , $y\geq 0$ and $z>0$} Which of the following is true about L1 intersection L2 ? A)It is CSL B)It is CFL C)It is regular D)It is non regular
answered
in
Theory of Computation
Nov 13, 2022
415
views
theory-of-computation
multiple-selects
identify-class-language
test-series
2
votes
26
GO Classes Test Series 2023 | Calculus | Test 1 | Question: 8
Choose the CORRECT statement - The function $f(x)=\exp \left(-x^{2}\right)-1$ has the root $x=0$. If a function $f$ is differentiable on $[-1,1]$, then there is a point $x$ in that interval where $f^{\prime}(x)=0$. If $1$ is a ... at $1 .$ If $f^{\prime \prime}(0)0$ then there is a point in $(0,1)$, where $f$ has an inflection point.
answered
in
Calculus
Nov 6, 2022
956
views
goclasses2024-calculus-1
goclasses
calculus
differentiation
multiple-selects
1-mark
2
votes
27
Question from gateforum
Consider 802.3 LAN with 500 stations attached to five 500 - meter segments. The data rate is 10Mbps and the slot time is 51.2μs. If all stations transmit with equal probability, what is the channel utilization using a frame size of 512 bytes(in %)? Assume no. of contention slots are 1.716
answered
in
Computer Networks
Oct 3, 2022
756
views
computer-networks
gateforum-test-series
numerical-answers
csma-cd
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