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1

ISI2015-MMA-52
Two coins are tossed independently where $P$(head occurs when coin $i$ is tossed) $=p_i, \: i=1,2$. Given that at least one head has occurred, the probability that coins produced different outcomes is $\frac{2p_1p_2}{p_1+p_2-2p_1p_2}$ $\frac{p_1+p_2-2p_1p_2}{p_1+p_2-p_1p_2}$ $\frac{2}{3}$ none of the above

answer edited 8 minutes ago in Probability by `JEET Boss (11.3k points) | 11 views

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1 answer

2

ISI2015-MMA-51
A permutation of $1,2, \dots, n$ is chosen at random. Then the probability that the numbers $1$ and $2$ appear as neighbour equals $\frac{1}{n}$ $\frac{2}{n}$ $\frac{1}{n-1}$ $\frac{1}{n-2}$

answer edited 14 minutes ago in Probability by `JEET Boss (11.3k points) | 19 views

0 votes

1 answer

3

made easy test series
please provide a detailed solution

commented 18 minutes ago in CO and Architecture by `JEET Boss (11.3k points) | 67 views

+45 votes

6 answers

4

GATE2006-67
Consider the relation account (customer, balance) where the customer is a primary key and there are no null values. We would like to rank customers according to decreasing balance. The customer with the largest balance gets rank 1. Ties are not broke but ranks are skipped: if ... assigning ranks using ODBC. Which two of the above statements are correct? 2 and 5 1 and 3 1 and 4 3 and 5

commented 2 hours ago in Databases by prashant jha 1 Loyal (5.7k points) | 6.3k views

0 votes

1 answer

5

Andrew S. Tanenbaum Edition 5th Exercise 6 Question 32 (Page No. 609)
If the TCP round-trip time, RTT, is currently 30 msec and the following acknowledgements come in after 26, 32, and 24 msec, respectively, what is the new RTT estimate using the Jacobson algorithm? Use α = 0.9.

answered 4 hours ago in Computer Networks by Ayush5harma (23 points) | 40 views

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1 answer

6

Andrew S. Tanenbaum Edition 5th Exercise 6 Question 34 (Page No. 609)
What is the fastest line speed at which a host can blast out 1500-byte TCP payloads with a 120-sec maximum packet lifetime without having the sequence numbers wrap around? Take TCP, IP, and Ethernet overhead into consideration. Assume that Ethernet frames may be sent continuously.

answered 4 hours ago in Computer Networks by Ayush5harma (23 points) | 26 views

+6 votes

4 answers

7

GATE2019-7
If $L$ is a regular language over $\Sigma = \{a,b\} $, which one of the following languages is NOT regular? $L.L^R = \{xy \mid x \in L , y^R \in L\}$ $\{ww^R \mid w \in L \}$ $\text{Prefix } (L) = \{x \in \Sigma^* \mid \exists y \in \Sigma^* $such that$ \ xy \in L\}$ $\text{Suffix }(L) = \{y \in \Sigma^* \mid \exists x \in \Sigma^* $such that$ \ xy \in L\}$

commented 5 hours ago in Theory of Computation by srestha Veteran (117k points) | 2.3k views

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3 answers

8

GATE2010 TF: GA-10
A student is answering a multiple choice examination with $65$ questions with a marking scheme as follows$:$ $i)$ $1$ marks for each correct answer $,ii)$ $-\frac{1}{4}$ for a wrong answer $,iii)$ $-\frac{1}{8}$ for a question that has not been attempted ... gets $37$ marks in the test then the least possible number of questions the student has NOT answered is$:$ $6$ $5$ $7$ $4$

answered 6 hours ago in Numerical Ability by shivam001 Junior (511 points) | 66 views

0 votes

2 answers

9

Kurose and Ross Edition 6 Exercise 3 Question R5 (Page No 286)
Why is it that voice and video traffic is often sent over TCP rather than UDP in today’s Internet? (Hint: The answer we are looking for has nothing to do with TCP’s congestion-control mechanism.)

answered 6 hours ago in Computer Networks by Ayush5harma (23 points) | 13 views

0 votes

1 answer

10

Inter-process Communication
What is zero capacity queue in IPC (OS) ? Thanks!

answer selected 6 hours ago in Operating System by Abhipsa Mishra (91 points) | 48 views

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0 answers

11

ISI2016-DCG-15
The shaded region in the following diagram represents the relation $y\:\leq\: x$ $\mid \:y\mid \:\leq\: \mid x\:\mid $ $y\:\leq\: \mid x\:\mid$ $\mid \:y\mid\: \leq\: x$

edited 7 hours ago in Geometry by Lakshman Patel RJIT Veteran (53.4k points) | 6 views

0 votes

1 answer

12

ISI2016-DCG-16
The set $\{(x,y)\: :\: \mid x\mid+\mid y\mid\:\leq\:1\}$ is represented by the shaded region in

recategorized 7 hours ago in Geometry by Lakshman Patel RJIT Veteran (53.4k points) | 6 views

+24 votes

3 answers

13

CMI2013-A-05
You have $n$ lists, each consisting of $m$ integers sorted in ascending order. Merging these lists into a single sorted list will take time: $O(nm \log m)$ $O(mn \log n)$ $O(m + n)$ $O(mn)$

commented 7 hours ago in Algorithms by Sukhbir Singh Junior (501 points) | 1.3k views

0 votes

1 answer

14

ISI2016-DCG-14
For natural numbers $n,$ the inequality $2^{n}>2n+1$ is valid when $n\geq 3$ $n<3$ $n=3$ None of these

recategorized 7 hours ago in Numerical Ability by Lakshman Patel RJIT Veteran (53.4k points) | 4 views

0 votes

0 answers

15

ISI2016-DCG-13
For all the natural number $n\geq 3,\: n^{2}+1$ is divisible by $3$ not divisible by $3$ divisible by $9$ None of these

recategorized 7 hours ago in Numerical Ability by Lakshman Patel RJIT Veteran (53.4k points) | 8 views

0 votes

1 answer

16

ISI2016-DCG-12
The highest power of $3$ contained in $1000!$ is $198$ $891$ $498$ $292$

recategorized 7 hours ago in Numerical Ability by Lakshman Patel RJIT Veteran (53.4k points) | 8 views

0 votes

1 answer

17

ISI2016-DCG-11
Let two systems of linear equations be defined as follows: $\begin{array}{lll} & x+y & =1 \\ P: & 3x+3y & =3 \\ & 5x+5y & =5 \end{array}$ ... $P$ and $Q$ are inconsistent $P$ and $Q$ are consistent $P$ is consistent but $Q$ is inconsistent None of the above

recategorized 7 hours ago in Linear Algebra by Lakshman Patel RJIT Veteran (53.4k points) | 6 views

0 votes

1 answer

18

ISI2016-DCG-10
Let $a$ be the $81$-digit number of which all the digits are equal to $1.$ Then the number $a$ is , divisible by $9$ but not divisible by $27$ divisible by $27$ but not divisible by $81$ divisible by $81$ None of the above

recategorized 7 hours ago in Numerical Ability by Lakshman Patel RJIT Veteran (53.4k points) | 8 views

0 votes

1 answer

19

ISI2015-MMA-94
Let $G$ be the group $\{\pm1, \pm i \}$ with multiplication of complex numbers as composition. Let $H$ be the quotient group $\mathbb{Z}/4 \mathbb{Z}$. Then the number of nontrivial group homomorphisms from $H$ to $G$ is $4$ $1$ $2$ $3$

recategorized 7 hours ago in Set Theory & Algebra by Lakshman Patel RJIT Veteran (53.4k points) | 9 views

0 votes

1 answer

20

ISI2015-MMA-93
Let $G$ be a group with identity element $e$. If $x$ and $y$ are elements in $G$ satisfying $x^5y^3=x^8y^5=e$, then which of the following conditions is true? $x=e, \: y=e$ $x\neq e, \: y=e$ $x=e, \: y \neq e$ $x\neq e, \: y \neq e$

recategorized 7 hours ago in Set Theory & Algebra by Lakshman Patel RJIT Veteran (53.4k points) | 8 views

0 votes

0 answers

21

ISI2015-MMA-92
Consider the group $G=\begin{Bmatrix} \begin{pmatrix} a & b \\ 0 & a^{-1} \end{pmatrix} : a,b \in \mathbb{R}, \: a>0 \end{Bmatrix}$ ... is of finite order $N$ is a normal subgroup and the quotient group is isomorphic to $\mathbb{R}^+$ (the group of positive reals with multiplication).

recategorized 7 hours ago in Set Theory & Algebra by Lakshman Patel RJIT Veteran (53.4k points) | 9 views

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0 answers

22

ISI2015-MMA-91
Suppose a solution of the differential equation $(xy^3+x^2y^7)\frac{\mathrm{d} y}{\mathrm{d} x}=1,$ satisfies the initial condition $y(1/4)=1$. Then the value of $\dfrac{\mathrm{d} y}{\mathrm{d} x}$ when $y=-1$ is $\frac{4}{3}$ $- \frac{4}{3}$ $\frac{16}{5}$ $- \frac{16}{5}$

recategorized 7 hours ago in Others by Lakshman Patel RJIT Veteran (53.4k points) | 6 views

0 votes

0 answers

23

ISI2015-MMA-90
The differential equation of the system of circles touching the $y$-axis at the origin is $x^2+y^2-2xy \frac{dy}{dx}=0$ $x^2+y^2+2xy \frac{dy}{dx}=0$ $x^2-y^2-2xy \frac{dy}{dx}=0$ $x^2-y^2+2xy \frac{dy}{dx}=0$

recategorized 7 hours ago in Others by Lakshman Patel RJIT Veteran (53.4k points) | 6 views

+2 votes

1 answer

24

ISI2016-DCG-1
The sequence $\dfrac{1}{\log_{3} 2},\dfrac{1}{\log_{6} 2},\dfrac{1}{\log_{12} 2},\dfrac{1}{\log_{24} 2}\cdots$ is in Arithmetic progression (AP) Geometric progression (GP) Harmonic progression (HP) None of these

recategorized 7 hours ago in Numerical Ability by Lakshman Patel RJIT Veteran (53.4k points) | 31 views

0 votes

1 answer

25

ISI2015-MMA-9
Let $(1+x)^n = C_0+C_1x+C_2x^2+ \cdots +C_nx^n, \: n$ being a positive integer. The value of $\bigg( 1+\frac{C_0}{C_1} \bigg) \bigg( 1+\frac{C_1}{C_2} \bigg) \cdots \bigg( 1+\frac{C_{n-1}}{C_n} \bigg)$ is $\bigg( \frac{n+1}{n+2} \bigg) ^n$ $ \frac{n^n}{n!} $ $\bigg( \frac{n}{n+1} \bigg) ^n$ $\frac{(n+1)^n}{n!}$

recategorized 7 hours ago in Combinatory by Lakshman Patel RJIT Veteran (53.4k points) | 9 views

0 votes

0 answers

26

ISI2015-MMA-89
Let $y(x)$ be a non-trivial solution of the second order linear differential equation $\frac{d^2y}{dx^2}+2c\frac{dy}{dx}+ky=0,$ where $c<0$, $k>0$ and $c^2>k$. Then $\mid y(x) \mid \to \infty$ as $x \to \infty$ $\mid y(x) \mid \to 0$ as $x \to \infty$ $\underset{x \to \pm \infty}{\lim} \mid y(x) \mid$ exists and is finite none of the above is true

recategorized 7 hours ago in IS&Software Engineering by Lakshman Patel RJIT Veteran (53.4k points) | 6 views

0 votes

0 answers

27

ISI2015-MMA-88
Let $f(x)$ be a given differentiable function. Consider the following differential equation in $y$ $f(x) \frac{dy}{dx} = yf’(x)-y^2.$ The general solution of this equation is given by $y=-\frac{x+c}{f(x)}$ $y^2=\frac{f(x)}{x+c}$ $y=\frac{f(x)}{x+c}$ $y=\frac{\left[f(x)\right]^2}{x+c}$

recategorized 7 hours ago in Others by Lakshman Patel RJIT Veteran (53.4k points) | 5 views

0 votes

0 answers

28

ISI2015-MMA-87
If $x(t)$ is a solution of $(1-t^2) dx -tx\: dt =dt$ and $x(0)=1$, then $x\big(\frac{1}{2}\big)$ is equal to $\frac{2}{\sqrt{3}} (\frac{\pi}{6}+1)$ $\frac{2}{\sqrt{3}} (\frac{\pi}{6}-1)$ $\frac{\pi}{3 \sqrt{3}}$ $\frac{\pi}{\sqrt{3}}$

recategorized 7 hours ago in Others by Lakshman Patel RJIT Veteran (53.4k points) | 8 views

0 votes

0 answers

29

ISI2015-MMA-86
The coordinates of a moving point $P$ satisfy the equations $\frac{dx}{dt} = \tan x, \:\:\:\: \frac{dy}{dt}=-\sin^2x, \:\:\:\:\: t \geq 0.$ If the curve passes through the point $(\pi/2, 0)$ when $t=0$, then the equation of the curve in rectangular co-ordinates is $y=1/2 \cos ^2 x$ $y=\sin 2x$ $y=\cos 2x+1$ $y=\sin ^2 x-1$

recategorized 7 hours ago in Geometry by Lakshman Patel RJIT Veteran (53.4k points) | 6 views

0 votes

0 answers

30

ISI2015-MMA-85
The differential equation of all the ellipses centred at the origin is $y^2+x(y’)^2-yy’=0$ $xyy’’ +x(y’)^2 -yy’=0$ $yy’’+x(y’)^2-xy’=0$ none of these

retagged 7 hours ago in Others by Lakshman Patel RJIT Veteran (53.4k points) | 6 views

0 votes

0 answers

31

ISI2015-MMA-84
For positive real numbers $a_1, a_2, \cdots, a_{100}$, let $p=\sum_{i=1}^{100} a_i \text{ and } q=\sum_{1 \leq i < j \leq 100} a_ia_j.$ Then $q=\frac{p^2}{2}$ $q^2 \geq \frac{p^2}{2}$ $q< \frac{p^2}{2}$ none of the above

recategorized 7 hours ago in Others by Lakshman Patel RJIT Veteran (53.4k points) | 9 views

0 votes

0 answers

32

ISI2015-MMA-83
If $\alpha, \beta$ are complex numbers then the maximum value of $\dfrac{\alpha \overline{\beta}+\overline{\alpha}\beta}{\mid \alpha \beta \mid}$ is $2$ $1$ the expression may not always be a real number and hence maximum does not make sense none of the above

recategorized 7 hours ago in Others by Lakshman Patel RJIT Veteran (53.4k points) | 8 views

0 votes

0 answers

33

ISI2015-MMA-82
The volume of the solid, generated by revolving about the horizontal line $y=2$ the region bounded by $y^2 \leq 2x$, $x \leq 8$ and $y \geq 2$, is $2 \sqrt{2\pi}$ $28 \pi/3$ $84 \pi$ none of the above

recategorized 7 hours ago in Geometry by Lakshman Patel RJIT Veteran (53.4k points) | 6 views

+23 votes

1 answer

34

GATE1996-12
Given below are the transition diagrams for two finite state machines $M_1$ and $M_2$ recognizing languages $L_1$ and $L_2$ respectively. Display the transition diagram for a machine that recognizes $L_1.L_2$, obtained from transition diagrams for $M_1$ and $M_2$ ... $\varepsilon$ transitions and no new states. (Final states are enclosed in double circles).

commented 7 hours ago in Theory of Computation by Raas Star (29 points) | 1.5k views

0 votes

1 answer

35

ISI2017-DCG-29
The area (in square unit) of the portion enclosed by the curve $\sqrt{2x}+ \sqrt{2y} = 2 \sqrt{3}$ and the axes of reference is $2$ $4$ $6$ $8$

answered 8 hours ago in Numerical Ability by imShreyas (269 points) | 13 views

+3 votes

2 answers

36

Write Through Cache Policy Questions - As per me answer should be 30, Given as 46 ns !

commented 9 hours ago in CO and Architecture by Mahashweta (9 points) | 1.4k views

+17 votes

2 answers

37

GATE1997-5.4
Given $\sqrt{(224)_r} =(13)_r$. The value of the radix $r$ is: $10$ $8$ $5$ $6$

commented 9 hours ago in Digital Logic by jlimbasiya (279 points) | 2.1k views

+15 votes

2 answers

38

GATE1989-3-iii
Answer the following questions: Which of the following problems are undecidable? Membership problem in context-free languages. Whether a given context-free language is regular. Whether a finite state automation halts on all inputs. Membership problem for type $0$ languages.

commented 15 hours ago in Theory of Computation by Veenit Junior (717 points) | 2.3k views

+79 votes

10 answers

39

GATE2004-47
Consider a system with a two-level paging scheme in which a regular memory access takes $150$ $nanoseconds$, and servicing a page fault takes $8$ $milliseconds$. An average instruction takes $100$ nanoseconds of CPU time, and two memory accesses. The ... instruction execution time? $\text{645 nanoseconds}$ $\text{1050 nanoseconds}$ $\text{1215 nanoseconds}$ $\text{1230 nanoseconds}$

answered 15 hours ago in CO and Architecture by Doraemon Junior (661 points) | 19.8k views

+35 votes

6 answers

40

GATE2012-27
Consider the following transactions with data items $P$ and $Q$ initialized to zero: ${\begin{array}{|c|l|r|c|}\hline \textbf{$ ... execution leads to a serializable schedule a schedule that is not conflict serializable a conflict serializable schedule a schedule for which a precedence graph cannot be drawn

commented 16 hours ago in Databases by aman9598 (43 points) | 4.9k views

tags	tag:apple
author	user:martin
title	title:apple
content	content:apple
exclude	-tag:apple
force match	+apple
views	views:100
score	score:10
answers	answers:2
is accepted	isaccepted:true
is closed	isclosed:true

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