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GATE2014 AG: GA-9
$X$ is $1$ km northeast of $Y$. $Y$ is $1$ km southeast of $Z$. $W$ is $1$ km west of $Z$. $P$ is $1$ km south of $W$. $Q$ is $1$ km east of $P$. What is the distance between $X$ and $Q$ in km? $1$ $\sqrt{2}$ $\sqrt{3}$ $2$

commented in Analytical Aptitude Apr 30

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GO Classes 2023 | IIITH Mock Test 3 | Question: 25
The following program consists of $3$ concurrent processes and $3$ binary semaphores. The semaphores are initialized as $S_0=0, S_1=1$ and $S_2=1.$ ... $P_0$ print '$1$'? At least twice Exactly once Exactly twice None of the above

commented in Operating System Apr 25

226 views

1 answer

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GO Classes 2023 | IIITH Mock Test 3 | Question: 15
Consider a undirected graph $G$ with $n$ vertices and every edge weight being distinct. Edge $e_1$ is edge with minimum weight and edge $e_2$ is edge with maximum weight. Then, which of the following is/are FALSE? (Mark all the ... No minimum spanning tree contains $e_2$ $G$ has a unique minimum spanning tree if $e_2$ is in a minimum spanning tree

commented in Algorithms Apr 17

211 views

1 answer

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GO Classes 2023 | IIITH Mock Test 3 | Question: 9
Consider the set $\mathrm{G}=\{\mathrm{e}, \mathrm{a}, \mathrm{b}, \mathrm{c}, \mathrm{d}, \mathrm{f}\}$ with operation $\ast$ defined by the table below. $\left(\mathrm{G},\ast\right)$ ... False? It is abelian. Order of "$a$" is $6 .$ It is a cyclic group. Number of elements of order $2$ is $3.$

commented in Set Theory & Algebra Apr 16

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GO Classes 2023 | IIITH Mock Test 3 | Question: 3
The number of partitions of the set $\text{X} = \{a, b, c, d\}$ with “$a$” and “$b$” in the same block is _____

answered in Combinatory Apr 16

213 views

1 answer

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GO Classes 2023 | IIITH Mock Test 3 | Question: 83
Line $\text{AB}$ is $24$ metres in length and is tangent to the inner one of the two concentric circles at point $\text{C}.$ Points $\text{A}$ and $\text{B}$ lie on the circumference of the outer circle. It is known that the radii of the two circles are integers. The radius of the outer circle is $13$ m $5$ m $7$ m $4$ m

answered in Quantitative Aptitude Apr 16

178 views

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GO Classes 2023 | IIITH Mock Test 3 | Question: 91
If $\log_{10} x - \log_{10} \sqrt{x} = 2 \log_x 10$ then a possible value of $x$ is given by $10$ $\frac{1}{100}$ $\frac{1}{1000}$ None of these

commented in Quantitative Aptitude Apr 16

163 views

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GO Classes 2023 | IIITH Mock Test 2 | Question: 74
An arriving thread is run at the beginning of its arrival time, if the scheduling policy allows it. Turnaround time is defined as the time a process takes to complete after it arrives. Now Consider the following data available for FIFO CPU Scheduling where we have ... $\text{C}?$ $1$ $5$ $6$ $3$

commented in Operating System Apr 15

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GO Classes 2023 | IIITH Mock Test 2 | Question: 39
$\text{AB}$ is the diameter of the circle and the points $\text{C}$ and $\text{D}$ are on the circumference such that $\angle \text{CAD}=30^\circ.$ What is the measure of $\angle \text{ACD}?$

commented in Quantitative Aptitude Apr 11

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GO Classes 2023 | IIITH Mock Test 2 | Question: 24
Ajay walks $24$ km towards the East and turns to the right-hand side and takes a drive of another $10$ km. He then turns to his right (drives towards West) another $10$ km. He then turns to his left and walks another $8$ km. After that, ... is he from his initial point and in which direction? $20$ km East $18$ km South $16$ km West $10$ km South

commented in Analytical Aptitude Apr 11

209 views

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GO Classes 2023 | IIITH Mock Test 2 | Question: 34
A flashlight has $8$ batteries out of which $3$ are dead. If two batteries are selected without replacement and tested, the probability that both are dead is $\frac{33}{56}$ $\frac{9}{64}$ $\frac{1}{14}$ $\frac{3}{28}$

answered in Quantitative Aptitude Apr 9

137 views

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GO Classes 2023 | IIITH Mock Test 2 | Question: 73
Consider a hash table with $m$ slots that uses chaining for collision resolution. The table is initially empty. What is the probability that after $4$ keys are inserted that at least a chain of size $3$ is created? $\frac{4 m-3}{m^{3}}$ $m^{-4}$ $m^{-3}(m-1)$ $m^{-2}$

commented in Algorithms Apr 9

198 views

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Consider a hash table with ‘m’ slots that uses chaining for collision resolution.
Consider a hash table with $m$ slots that uses chaining for collision resolution. The table is initially empty. What is the probability that after 4 keys are inserted that at least a chain of size 3 is created? (Assume simple uniform ... $m^{–3} (m – 1)$ $3m^{–1}$

commented in Algorithms Apr 9

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GO Classes 2023 | IIITH Mock Test 2 | Question: 51
Let $\text{A, B}$ be two propositional formulas. Which of the following assertions is/are true? If $\text{A} \wedge \text{B}$ is contradiction, then $\text{A}$ is contradiction or $\text{B}$ ... $\text{A} \wedge \text{B}$ is tautology, then both $\text{A, B}$ are tautology.

commented in Mathematical Logic Apr 9

282 views

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GO Classes 2023 | IIITH Mock Test 2 | Question: 4
The calendar of $1996$ will be the same for which year's calendar and an equal number of days to $1996 ?$ $2012$ $2024$ $2007$ $2002$

commented in Analytical Aptitude Apr 9

227 views

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GO Classes 2023 | IIITH Mock Test 1 | Question: 85
Two liquids $\text{A}$ and $\text{B}$ are in the ratio $4:1$ in container $1$ and in container $2,$ they are in the ratio $1:3.$ In what ratio should the contents of the two containers be mixed so as to obtain a mixture of $\text{A}$ and $\text{B}$ in the ratio $1:1$? $5:6$ $4:3$ $3 :4$ $6:5$

commented in Quantitative Aptitude Apr 3

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GO Classes 2023 | IIITH Mock Test 1 | Question: 11
Suppose that a MST of the following edge-weighted graph contains the edges with weights $x, y$, and $z$. What will be the maximum value of $x+y+z?$ $200$ $250$ $300$ $350$

answered in Algorithms Mar 28

289 views

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GO Classes 2023 | IIITH Mock Test 1 | Question: 22
Consider the network given below with routers $\text{A, B, C, D}$ and $\text{E}.$ If the network follows link state routing algorithm to determine next hop for least cost path then which constraints on $x$ and $y$ guarantee traffic from $\text{B}$ to $\text{C}$ will always flow through node $\text{A}?$ $x>4$ $y+x<6$ $y+x<4$ $x<4$

commented in Computer Networks Mar 27

187 views

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GO Classes 2023 | IIITH Mock Test 1 | Question: 34
The possible number of Boolean function of 3 variables $X, Y$ and $Z$ such that $f(X, Y, Z)=f\left(X^{\prime}, Y^{\prime}, Z^{\prime}\right)$ $8$ $16$ $64$ $32$

answered in Digital Logic Mar 27

206 views

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GO Classes 2023 | IIITH Mock Test 1 | Question: 86
A merchant can buy goods at the rate of Rs. $20$ per good. The particular good is part of an overall collection and the value is linked to the number of items that are already on the market. So, the merchant sells the first good for Rs. $2,$ ... profit of at least $40 \%$, what is the minimum number of goods he should sell? $24$ $18$ $27$ $32$

answered in Quantitative Aptitude Mar 27

184 views

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GO Classes 2023 | IIITH Mock Test 1 | Question: 96
All the rearrangements of the word $\text{“DEMAND"}$ are written without including any word that has two $\text{D’s}$ appearing together. If these are arranged alphabetically, what would be the rank of $\text{“DEMAND"}?$ $36$ $74$ $42$ $86$

answered in Quantitative Aptitude Mar 27

224 views

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GO Classes 2023 | IIITH Mock Test 1 | Question: 98
Which number does not belong in the series below? $\qquad2, 5, 10, 17, 26, 37, 50, 64$ $17$ $37$ $64$ $26$

answered in Analytical Aptitude Mar 27

103 views

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GO Classes 2023 | IIITH Mock Test 1 | Question: 2
Given a set of values $\text{R} = \{1,2,3,4,5,6,7\}.$ The number of relations on this set which are both partial-order and equivalence relation is? $128$ $1$ $0$ $2^{42}$

answered in Set Theory & Algebra Mar 27

238 views

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GO Classes 2023 | IIITH Mock Test 1 | Question: 1
Let $\text{R}$ be a relation from a set $\text{A}$ to a set $\text{B}.$ The inverse relation from $\text{B}$ to $\text{A},$ denoted by $\text{R}^{-1},$ is the set of ordered pairs $\{(b,a) \mid (a,b) \in R\}$ ... $\text{S1}$ Only $\text{S2}$ Both $\text{S1}$ and $\text{S2}$ None of the above

answered in Set Theory & Algebra Mar 27

241 views

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GO Classes 2023 | IIITH Mock Test 1 | Question: 97
If $7\:\theta\: 13\: \alpha\: 3 = 60,$ and $12\:\theta\: 13\: \alpha\: 4 = 100,$ then $38\:\theta\: 39\: \alpha\: 3 =\:?$ $313$ $219$ $343$ $231$

answered in Analytical Aptitude Mar 27

143 views

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GO Classes 2023 | IIITH Mock Test 1 | Question: 56
A college cricket team with $11$ players consists of $4$ batsman, $3$ all-rounders, $3$ bowlers and $1$ wicket keeper. $3$ players are selected randomly. Find the probability that the selection contains a batsman, a bowler and an all-rounder. $\dfrac{12}{60} \\$ $\dfrac{13}{25} \\$ $\dfrac{12}{55} \\$ $\dfrac{104}{165}$

answered in Quantitative Aptitude Mar 27

211 views

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GO Classes Weekly Quiz 3 | Fundamental Course and Linear Algebra | Question: 10
Which of the following is(are) sufficient argument(s) to show that the vectors of set $\text{S}$ ... $7 u+(-1) v+1 w=\left[\begin{array}{l}0 \\ 0 \\ 0\end{array}\right]$

commented in Linear Algebra Mar 15

346 views

7 answers

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GATE CSE 2022 | Question: 52
Consider the queues $Q_{1}$ containing four elements and $Q_{2}$ containing none (shown as the $\textsf{Initial State}$ in the figure). The only operations allowed on these two queues are $\textsf{Enqueue (Q, element)}$ ... $\textsf{Final State}$ in the figure) without using any additional storage is________________.

commented in DS Feb 1

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GATE CSE 2022 | Question: 50
Consider the data transfer using $\text{TCP}$ over a $1 \; \text{Gbps}$ link. Assuming that the maximum segment lifetime $\text{(MSL)}$ is set to $60 \; \text{seconds},$ the minimum number of bits required for the sequence number field of the $\text{TCP}$ header, to prevent the sequence number space from wrapping around during the $\text{MSL}$ is ________________.

commented in Computer Networks Feb 1

3.8k views

2 answers

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GATE CSE 2022 | Question: 49
Consider a $100 \; \text{Mbps}$ link between an earth station (sender) and a satellite (receiver) at an altitude of $2100 \; \text{km}.$ The signal propagates at a speed of $3 \times 10^{8} \; \text{m/s.}$ ... $1000 \; \text{bytes}$ transmitted by the sender is _______________.

commented in Computer Networks Feb 1

3.7k views