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Recent questions tagged gate2013ec
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1
GATE ECE 2013  Question: 62
Find the sum to $n$ terms of the series $10+84+ 734 +\dots $ $\frac{9(9^n+1)}{10}+1$ $\frac{9(9^n1)}{8}+1$ $\frac{9(9^n1)}{8}+n$ $\frac{9(9^n1)}{8}+n^2$
asked
Mar 26, 2018
in
Numerical Ability
by
Milicevic3306
(
15.8k
points)

21
views
gate2013ec
numericalability
arithmeticseries
0
votes
0
answers
2
GATE ECE 2013  Question: 65
What is the chance that a leap year, selected at random, will contain $53$ Saturdays? $2/7$ $3/7$ $1/7$ $5/7$
asked
Mar 26, 2018
in
Numerical Ability
by
Milicevic3306
(
15.8k
points)

31
views
gate2013ec
numericalability
probability
leapyear
0
votes
0
answers
3
GATE ECE 2013  Question: 64
The set of values of $p$ for which the roots of the equation $3x^2+2x+p(p1)=0$ are of opposite sign is $(\infty ,0)$ $(0,1)$ $(1,\infty )$ $(0,\infty )$
asked
Mar 26, 2018
in
Numerical Ability
by
Milicevic3306
(
15.8k
points)

17
views
gate2013ec
numericalability
quadraticequations
roots
0
votes
0
answers
4
GATE ECE 2013  Question: 63
Statement: There were different streams of freedom movements in colonial India carried out by the moderates, liberals, radicals, socialists, and so on. Which one of the following is the best inference from the above statement? The ... Nationalism in India emerged in the context of colonialism. Nationalism in India is homogeneous. Nationalism in India is heterogeneous.
asked
Mar 26, 2018
in
Verbal Ability
by
Milicevic3306
(
15.8k
points)

33
views
gate2013ec
verbalability
verbalreasoning
0
votes
0
answers
5
GATE ECE 2013  Question: 55
The state diagram of a system is shown below. A system is described by the statevariable equations $\dot{X}= AX+Bu;\:\: y = CX+Du$ The state transition matrix $e^{At}$ ... $\begin{bmatrix} e^{t}&te^{t} \\ 0 &e^{t} \end{bmatrix}$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
15.8k
points)

24
views
gate2013ec
tobetagged
0
votes
0
answers
6
GATE ECE 2013  Question: 59
Complete the sentence: Dare _______________ mistakes. commit to commit committed committing
asked
Mar 26, 2018
in
Verbal Ability
by
Milicevic3306
(
15.8k
points)

24
views
gate2013ec
verbalability
englishgrammar
0
votes
0
answers
7
GATE ECE 2013  Question: 58
In the summer of $2012,$ in New Delhi, the mean temperature of Monday to Wednesday was $41^{\circ}C$ and of Tuesday to Thursday was $43^{\circ}C$. If the temperature on Thursday was $15\%$ higher than that of Monday, then the temperature in $^{\circ}C$ on Thursday was $40$ $43$ $46$ $49$
asked
Mar 26, 2018
in
Numerical Ability
by
Milicevic3306
(
15.8k
points)

24
views
gate2013ec
numericalability
percentage
0
votes
0
answers
8
GATE ECE 2013  Question: 57
Statement: You can always give me a ring whenever you need. Which one of the following is the best inference from the above statement? Because I have a nice caller tune. Because I have a better telephone facility. Because a friend in need is a friend indeed. Because you need not pay towards the telephone bills when you give me a ring.
asked
Mar 26, 2018
in
Verbal Ability
by
Milicevic3306
(
15.8k
points)

34
views
gate2013ec
verbalability
verbalreasoning
0
votes
0
answers
9
GATE ECE 2013  Question: 56
Choose the grammatically CORRECT sentence: Two and two add four. Two and two become four. Two and two are four. Two and two make four.
asked
Mar 26, 2018
in
Verbal Ability
by
Milicevic3306
(
15.8k
points)

28
views
gate2013ec
verbalability
englishgrammar
0
votes
0
answers
10
GATE ECE 2013  Question: 60
They were requested not to $\textbf{quarrel}$ with others. Which one of the following options is the closest in meaning to the word $\textbf{quarrel}$? make out call out dig out fall out
asked
Mar 26, 2018
in
Verbal Ability
by
Milicevic3306
(
15.8k
points)

23
views
gate2013ec
verbalability
mostappropriateword
0
votes
0
answers
11
GATE ECE 2013  Question: 61
A car travels $8 \: km$ in the first quarter of an hour, $6\: km$ in the second quarter and $16\: km$ in the third quarter. The average speed of the car in $km$ per hour over the entire journey is $30$ $36$ $40$ $24$
asked
Mar 26, 2018
in
Numerical Ability
by
Milicevic3306
(
15.8k
points)

19
views
gate2013ec
numericalability
speedtimedistance
0
votes
0
answers
12
GATE ECE 2013  Question: 49
Bits $1$ and $0$ are transmitted with equal probability. At the receiver, the pdf of the respective received signals for both bits are as shown below. The optimum threshold to achieve minimum bit error rate $(BER)$ is $\frac{1}{2} \\$ $\frac{4}{5} \\$ $1\\$ $\frac{3}{2} $
asked
Mar 26, 2018
in
Communications
by
Milicevic3306
(
15.8k
points)

33
views
gate2013ec
communications
digitalmodulation
basicelectricalrhythm
0
votes
0
answers
13
GATE ECE 2013  Question: 54
The state diagram of a system is shown below. A system is described by the statevariable equations $\dot{X}= AX+Bu;\:\: y = CX+Du$ ...
asked
Mar 26, 2018
in
Continuoustime Signals
by
Milicevic3306
(
15.8k
points)

35
views
gate2013ec
continuoustimesignals
stateequationsfornetworks
0
votes
0
answers
14
GATE ECE 2013  Question: 51
Consider the following figure The current in the $1\Omega$ resistor in $\text{Amps}$ is $2$ $3.33$ $10$ $12$
asked
Mar 26, 2018
in
Electronic Devices
by
Milicevic3306
(
15.8k
points)

22
views
gate2013ec
electronicdevices
0
votes
0
answers
15
GATE ECE 2013  Question: 52
A monochromatic plane wave of wavelength $\lambda = 600 \mu m$ is propagating in the direction as shown in the figure below. $\vec{E_{i}},\vec{E_{r}},$ and $\vec{E_{t}}$ ...
asked
Mar 26, 2018
in
Vector Analysis
by
Milicevic3306
(
15.8k
points)

26
views
gate2013ec
vectoranalysis
0
votes
0
answers
16
GATE ECE 2013  Question: 50
Consider the following figure The current $I_{S}$ in $\text{Amps}$ in the voltage source, and voltage $V_{S}$ in Volts across the current source respectively, are $13, − 20$ $8, − 10$ $− 8, 20$ $− 13, 20$
asked
Mar 26, 2018
in
Electronic Devices
by
Milicevic3306
(
15.8k
points)

37
views
gate2013ec
electronicdevices
0
votes
0
answers
17
GATE ECE 2013  Question: 53
A monochromatic plane wave of wavelength $\lambda = 600 \mu m$ is propagating in the direction as shown in the figure below. $\vec{E_{i}},\vec{E_{r}},$ and $\vec{E_{t}}$ ...
asked
Mar 26, 2018
in
Vector Analysis
by
Milicevic3306
(
15.8k
points)

28
views
gate2013ec
vectoranalysis
0
votes
0
answers
18
GATE ECE 2013  Question: 42
In the circuit shown below, $Q_{1}$ has negligible collectortoemitter saturation voltage and the diode drops negligible voltage across it under forward bias. If $V_{cc}$ is $+5 V, X$ and $Y$ are digital signals with $0\: V$ as logic $0$ and $V_{cc}$ as logic $1,$ then the Boolean expression for $Z$ is $XY$ $\overline{X}Y$ $X\overline{Y}$ $\overline{XY}$
asked
Mar 26, 2018
in
Analog Circuits
by
Milicevic3306
(
15.8k
points)

18
views
gate2013ec
analogcircuits
diodes
0
votes
0
answers
19
GATE ECE 2013  Question: 48
Bits $1$ and $0$ are transmitted with equal probability. At the receiver, the pdf of the respective received signals for both bits are as shown below. If the detection threshold is $1,$ the $BER$ will be $\frac{1}{2} \\ $ $\frac{1}{4} \\$ $\frac{1}{8} \\$ $\frac{1}{16}$
asked
Mar 26, 2018
in
Communications
by
Milicevic3306
(
15.8k
points)

19
views
gate2013ec
communications
basicelectricalrhythm
digitalmodulation
0
votes
0
answers
20
GATE ECE 2013  Question: 47
Let $U$ and $V$ be two independent and identically distributed random variables such that $P(U=+1)=P(U=1) = \dfrac{1}{2}.$ The entropy $H(U + V)$ in bits is $\frac{3}{4} \\$ $1$ $\frac{3}{2} \\$ $\log_{2}3$
asked
Mar 26, 2018
in
Communications
by
Milicevic3306
(
15.8k
points)

25
views
gate2013ec
communications
entropy
0
votes
0
answers
21
GATE ECE 2013  Question: 44
Three capacitors $C_{1}, C_{2}$ and $C_{3}$ whose values are $10\mu F, 5\mu F,$ and $2\mu F$ respectively, have breakdown voltages of $10V, 5V,$ and $2V$ respectively. For the interconnection shown below, the maximum safe voltage in Volts that can be ... capacitance across the terminals are respectively, $2.8$ and $36$ $7$ and $119$ $2.8$ and $32$ $7$ and $80$
asked
Mar 26, 2018
in
Electronic Devices
by
Milicevic3306
(
15.8k
points)

17
views
gate2013ec
electronicdevices
0
votes
0
answers
22
GATE ECE 2013  Question: 43
A voltage $1000 \sin\omega t\:\: \text{Volts}$ is applied across $YZ.$ Assuming ideal diodes, the voltage measured across $WX$ in $\text{Volts},$ is $\sin \omega t$ $(\sin \omega t \:+ \mid \sin \omega t \mid)/2$ $(\sin \omega t \:  \mid \sin \omega t \mid)/2$ $0$ for all $t$
asked
Mar 26, 2018
in
Analog Circuits
by
Milicevic3306
(
15.8k
points)

23
views
gate2013ec
analogcircuits
diodes
0
votes
0
answers
23
GATE ECE 2013  Question: 46
In the circuit shown below, the silicon $npn$ transistor $Q$ has a very high value of $\beta.$ The required value of $R_{2}$ in $k\Omega$ to produce $I_{C} = 1\: mA$ is $20$ $30$ $40$ $50$
asked
Mar 26, 2018
in
Electronic Devices
by
Milicevic3306
(
15.8k
points)

20
views
gate2013ec
electronicdevices
0
votes
0
answers
24
GATE ECE 2013  Question: 45
There are four chips each of $1024\:\text{bytes}$ connected to a $16\:\text{bit}$ address bus as shown in the figure below. $RAMs\: 1, 2, 3$ and $4$ ... $0500H08FFH, 1500H18FFH, 3500H38FFH, 5500H58FFH$ $0800H0BFFH, 1800H1BFFH, 2800H2BFFH, 3800H3BFFH$
asked
Mar 26, 2018
in
Digital Circuits
by
Milicevic3306
(
15.8k
points)

35
views
gate2013ec
digitalcircuits
semiconductor
ram
0
votes
0
answers
25
GATE ECE 2013  Question: 38
Consider two identically distributed zeromean random variables $U$ and $V.$ Let the cumulative distribution functions of $U$ and $2V$ be $F(x)$ and $G(x)$ respectively. Then, for all values of $x$ $F(x)  G(x) \leq 0$ $F(x)  G(x) \geq 0$ $(F(x)  G(x)) \cdot x\leq 0$ $(F(x)  G(x)) \cdot x\geq 0$
asked
Mar 26, 2018
in
Probability and Statistics
by
Milicevic3306
(
15.8k
points)

40
views
gate2013ec
probabilityandstatistics
probability
randomvariable
0
votes
0
answers
26
GATE ECE 2013  Question: 36
A system is described by the differential equation $\dfrac{\mathrm{d}^{2} y}{\mathrm{d} x} + 5\dfrac{\mathrm{d}y }{\mathrm{d} x} + 6y(t) = x(t).$ Let $x(t)$ be a rectangular pulse given by $x(t) = \begin{cases} 1&0<t<2 \\ 0&\text{otherwise} \end{cases}$ ... $\frac{e^{2s}}{(s+2)(s+3)} \\$ $\frac{1e^{2s}}{s(s+2)(s+3)} $
asked
Mar 26, 2018
in
Differential Equations
by
Milicevic3306
(
15.8k
points)

19
views
gate2013ec
differentialequations
laplacetransform
0
votes
0
answers
27
GATE ECE 2013  Question: 40
The signal flow graph for a system is given below. The transfer function $\dfrac{Y(s)}{U(s)}$ for this system is $\frac{s+1}{5s^{2}+6s+2} \\$ $\frac{s+1}{s^{2}+6s+2} \\$ $\frac{s+1}{s^{2}+4s+2} \\$ $\frac{1}{5s^{2}+6s+2}$
asked
Mar 26, 2018
in
Control Systems
by
Milicevic3306
(
15.8k
points)

47
views
gate2013ec
transferfunction
controlsystems
signalflowgraph
0
votes
0
answers
28
GATE ECE 2013  Question: 37
A system described by a linear, constant coefficient, ordinary, first order differential equation has an exact solution given by $y(t)$ for $t>0,$ when the forcing function is $x(t)$ and the initial condition is $y(0).$ If one wishes to modify the ... forcing function to $j\sqrt{2}x(t)$ change the initial condition to $−2y(0)$ and the forcing function to $−2x(t)$
asked
Mar 26, 2018
in
Differential Equations
by
Milicevic3306
(
15.8k
points)

22
views
gate2013ec
differentialequations
0
votes
0
answers
29
GATE ECE 2013  Question: 41
In the circuit shown below the $\text{opamps}$ are ideal. Then $V_{\text{out}}$ in $\text{Volts}$ is $4$ $6$ $8$ $10$
asked
Mar 26, 2018
in
Analog Circuits
by
Milicevic3306
(
15.8k
points)

17
views
gate2013ec
analogcircuits
electronicdevices
0
votes
0
answers
30
GATE ECE 2013  Question: 35
The ac schematic of an $NMOS$ commonsource stage is shown in the figure below, where part of the biasing circuits has been omitted for simplicity. For the $n$channel $MOSFET\: M,$ the transconductance $g_{m} = 1\; mA/V,$ and body effect and ... effect are to be neglected. The lower cutoff frequency in $Hz$ of the circuit is approximately at $8$ $32$ $50$ $200$
asked
Mar 26, 2018
in
Electronic Devices
by
Milicevic3306
(
15.8k
points)

17
views
gate2013ec
electronicdevices
0
votes
0
answers
31
GATE ECE 2013  Question: 39
The $\text{DFT}$ of a vector $\begin{bmatrix} a & b & c & d \end{bmatrix}$ is the vector $\begin{bmatrix} \alpha & \beta & \gamma & \delta \end{bmatrix}.$ ... $\begin{bmatrix} \alpha & \beta & \gamma & \delta \end{bmatrix}$
asked
Mar 26, 2018
in
Vector Analysis
by
Milicevic3306
(
15.8k
points)

19
views
gate2013ec
vectoranalysis
0
votes
0
answers
32
GATE ECE 2013  Question: 33
The impulse response of a continuous time system is given by $h(t) = \delta(t1) + \delta(t3).$ The value of the step response at $t = 2$ is $0$ $1$ $2$ $3$
asked
Mar 26, 2018
in
Continuoustime Signals
by
Milicevic3306
(
15.8k
points)

23
views
gate2013ec
continuoustimesignals
impulseresponse
0
votes
0
answers
33
GATE ECE 2013  Question: 34
The smallsignal resistance $(i.e., dV_{B}/dI_{D})$ in $k\Omega$ offered by the $n$channel $MOSFET\: M$ shown in the figure below, at a bias point of $V_{B} = 2\: V$ is (device data for $M:$ ... $V_{TN} = 1\: V,$ and neglect body effect and channel length modulation effects) $12.5$ $25$ $50$ $100$
asked
Mar 26, 2018
in
Electronic Devices
by
Milicevic3306
(
15.8k
points)

18
views
gate2013ec
electronicdevices
mosfet
0
votes
0
answers
34
GATE ECE 2013  Question: 29
The openloop transfer function of a dc motor is given as $\dfrac{\omega(s)}{V_{a}(s)} = \dfrac{10}{1+10s}.$ When connected in feedback as shown below, the approximate value of $K_{a}$ that will reduce the time constant of the closed loop system by one hundred times as compared to that of the openloop system is $1$ $5$ $10$ $100$
asked
Mar 26, 2018
in
Network Solution Methods
by
Milicevic3306
(
15.8k
points)

27
views
gate2013ec
networksolutionmethods
transferfunction
0
votes
0
answers
35
GATE ECE 2013  Question: 31
The following arrangement consists of an ideal transformer and an attenuator which attenuates by a factor of $0.8.$ An ac voltage $V_{WX1} = 100V$ is applied across $WX$ to get an open circuit voltage $V_{YZ1}$ across $YZ.$ Next, an ac voltage $V_{YZ2}= 100V$ is ... , $125/100$ and $80/100$ $100/100$ and $80/100$ $100/100$ and $100/100$ $80/100$ and $80/100$
asked
Mar 26, 2018
in
Electronic Devices
by
Milicevic3306
(
15.8k
points)

24
views
gate2013ec
electronicdevices
0
votes
0
answers
36
GATE ECE 2013  Question: 32
Two magnetically uncoupled inductive coils have $Q$ factors $q_{1}$ and $q_{2}$ at the chosen operating frequency. Their respective resistances are $R_{1}$ and $R_{2}.$ When connected in series, their effective $Q$ factor at the same operating frequency is $q_{1} + q_{2}$ ... $(q_{1}R_{2} + q_{2}R_{1})/(R_{1} + R_{2})$
asked
Mar 26, 2018
in
Digital Circuits
by
Milicevic3306
(
15.8k
points)

27
views
gate2013ec
digitalcircuits
0
votes
0
answers
37
GATE ECE 2013  Question: 30
In the circuit shown below, the knee current of the ideal Zener diode is $10\: mA.$ To maintain $5\: V$ across $R_{L},$ the minimum value of $R_{L}$ in $\Omega$ and the minimum power rating of the Zener diode in $mW,$ respectively, are $125$ and $125$ $125$ and $250$ $250$ and $125$ $250$ and $250$
asked
Mar 26, 2018
in
Electronic Devices
by
Milicevic3306
(
15.8k
points)

28
views
gate2013ec
electronicdevices
0
votes
0
answers
38
GATE ECE 2013  Question: 26
Let $U$ and $V$ be two independent zero mean Gaussian random variables of variances $\dfrac{1}{4}$ and $\dfrac{1}{9}$ respectively. The probability $P(3V\geq 2U)$ is $4/9$ $1/2$ $2/3$ $5/9$
asked
Mar 26, 2018
in
Probability and Statistics
by
Milicevic3306
(
15.8k
points)

19
views
gate2013ec
probabilityandstatistics
probability
randomvariable
independentevents
0
votes
0
answers
39
GATE ECE 2013  Question: 27
Let $A$ be an $m \times n$ matrix and $B$ an $n \times m$ matrix. It is given that determinant $(I_{m} + AB) =$ determinant $(I_{n} + BA),$ where $I_{k}$ is the $k \times k$ identity matrix. Using the above property, the determinant of the matrix given below ... $2$ $5$ $8$ $16$
asked
Mar 26, 2018
in
Linear Algebra
by
Milicevic3306
(
15.8k
points)

22
views
gate2013ec
linearalgebra
matrices
determinant
0
votes
0
answers
40
GATE ECE 2013  Question: 28
In the circuit shown below, if the source voltage $V_S = 100\angle 53.13^{\circ}\: V$ then the Thevenin’s equivalent voltage in Volts as seen by the load resistance $R_{L}$ is $100\angle 90^{\circ}$ $800\angle 0^{\circ}$ $800\angle 90^{\circ}$ $100\angle 60^{\circ}$
asked
Mar 26, 2018
in
Network Solution Methods
by
Milicevic3306
(
15.8k
points)

19
views
gate2013ec
thevenintheorem
networksolutionmethods
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