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Recent questions tagged gate2013-ec
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1
GATE ECE 2013 | Question: 62
Find the sum to $n$ terms of the series $10+84+ 734 +\dots $ $\frac{9(9^n+1)}{10}+1$ $\frac{9(9^n-1)}{8}+1$ $\frac{9(9^n-1)}{8}+n$ $\frac{9(9^n-1)}{8}+n^2$
Milicevic3306
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Numerical Ability
Mar 26, 2018
by
Milicevic3306
15.8k
points
36
views
gate2013-ec
numerical-ability
arithmetic-series
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? $2/7$ $3/7$ $1/7$ $5/7$
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asked
in
Numerical Ability
Mar 26, 2018
by
Milicevic3306
15.8k
points
46
views
gate2013-ec
numerical-ability
probability
leap-year
0
votes
0
answers
3
GATE ECE 2013 | Question: 64
The set of values of $p$ for which the roots of the equation $3x^2+2x+p(p-1)=0$ are of opposite sign is $(-\infty ,0)$ $(0,1)$ $(1,\infty )$ $(0,\infty )$
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in
Numerical Ability
Mar 26, 2018
by
Milicevic3306
15.8k
points
28
views
gate2013-ec
numerical-ability
quadratic-equations
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.
Milicevic3306
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in
Verbal Ability
Mar 26, 2018
by
Milicevic3306
15.8k
points
52
views
gate2013-ec
verbal-ability
verbal-reasoning
0
votes
0
answers
5
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 $30$ $36$ $40$ $24$
Milicevic3306
asked
in
Numerical Ability
Mar 26, 2018
by
Milicevic3306
15.8k
points
28
views
gate2013-ec
numerical-ability
speed-time-distance
0
votes
0
answers
6
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
Milicevic3306
asked
in
Verbal Ability
Mar 26, 2018
by
Milicevic3306
15.8k
points
41
views
gate2013-ec
verbal-ability
most-appropriate-word
0
votes
0
answers
7
GATE ECE 2013 | Question: 55
The state diagram of a system is shown below. A system is described by the state-variable equations $\dot{X}= AX+Bu;\:\: y = CX+Du$ The state transition matrix $e^{At}$ ... $\begin{bmatrix} e^{-t}&-te^{-t} \\ 0 &e^{-t} \end{bmatrix}$
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asked
in
Others
Mar 26, 2018
by
Milicevic3306
15.8k
points
42
views
gate2013-ec
to-be-tagged
0
votes
0
answers
8
GATE ECE 2013 | Question: 59
Complete the sentence: Dare _______________ mistakes. commit to commit committed committing
Milicevic3306
asked
in
Verbal Ability
Mar 26, 2018
by
Milicevic3306
15.8k
points
45
views
gate2013-ec
verbal-ability
english-grammar
0
votes
0
answers
9
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 $40$ $43$ $46$ $49$
Milicevic3306
asked
in
Numerical Ability
Mar 26, 2018
by
Milicevic3306
15.8k
points
44
views
gate2013-ec
numerical-ability
percentage
0
votes
0
answers
10
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.
Milicevic3306
asked
in
Verbal Ability
Mar 26, 2018
by
Milicevic3306
15.8k
points
50
views
gate2013-ec
verbal-ability
verbal-reasoning
0
votes
0
answers
11
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.
Milicevic3306
asked
in
Verbal Ability
Mar 26, 2018
by
Milicevic3306
15.8k
points
47
views
gate2013-ec
verbal-ability
english-grammar
0
votes
0
answers
12
GATE ECE 2013 | Question: 54
The state diagram of a system is shown below. A system is described by the state-variable equations $\dot{X}= AX+Bu;\:\: y = CX+Du$ ...
Milicevic3306
asked
in
Continuous-time Signals
Mar 26, 2018
by
Milicevic3306
15.8k
points
76
views
gate2013-ec
continuous-time-signals
state-equations-for-networks
0
votes
0
answers
13
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} $
Milicevic3306
asked
in
Communications
Mar 26, 2018
by
Milicevic3306
15.8k
points
65
views
gate2013-ec
communications
digital-modulation
basic-electrical-rhythm
0
votes
0
answers
14
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 $13, − 20$ $8, − 10$ $− 8, 20$ $− 13, 20$
Milicevic3306
asked
in
Electronic Devices
Mar 26, 2018
by
Milicevic3306
15.8k
points
92
views
gate2013-ec
electronic-devices
0
votes
0
answers
15
GATE ECE 2013 | Question: 51
Consider the following figure The current in the $1\Omega$ resistor in $\text{Amps}$ is $2$ $3.33$ $10$ $12$
Milicevic3306
asked
in
Electronic Devices
Mar 26, 2018
by
Milicevic3306
15.8k
points
37
views
gate2013-ec
electronic-devices
0
votes
0
answers
16
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 $\vec{E_{t}}$ ...
Milicevic3306
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in
Vector Analysis
Mar 26, 2018
by
Milicevic3306
15.8k
points
50
views
gate2013-ec
vector-analysis
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 $\vec{E_{t}}$ ...
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in
Vector Analysis
Mar 26, 2018
by
Milicevic3306
15.8k
points
65
views
gate2013-ec
vector-analysis
0
votes
0
answers
18
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 $4$ ... $0500H-08FFH, 1500H-18FFH, 3500H-38FFH, 5500H-58FFH$ $0800H-0BFFH, 1800H-1BFFH, 2800H-2BFFH, 3800H-3BFFH$
Milicevic3306
asked
in
Digital Circuits
Mar 26, 2018
by
Milicevic3306
15.8k
points
81
views
gate2013-ec
digital-circuits
semiconductor
ram
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} \\ $ $\frac{1}{4} \\$ $\frac{1}{8} \\$ $\frac{1}{16}$
Milicevic3306
asked
in
Communications
Mar 26, 2018
by
Milicevic3306
15.8k
points
40
views
gate2013-ec
communications
basic-electrical-rhythm
digital-modulation
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 $\frac{3}{4} \\$ $1$ $\frac{3}{2} \\$ $\log_{2}3$
Milicevic3306
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in
Communications
Mar 26, 2018
by
Milicevic3306
15.8k
points
45
views
gate2013-ec
communications
entropy
0
votes
0
answers
21
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 $t$
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in
Analog Circuits
Mar 26, 2018
by
Milicevic3306
15.8k
points
52
views
gate2013-ec
analog-circuits
diodes
0
votes
0
answers
22
GATE ECE 2013 | Question: 42
In the circuit shown below, $Q_{1}$ has negligible collector-to-emitter 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 $XY$ $\overline{X}Y$ $X\overline{Y}$ $\overline{XY}$
Milicevic3306
asked
in
Analog Circuits
Mar 26, 2018
by
Milicevic3306
15.8k
points
57
views
gate2013-ec
analog-circuits
diodes
0
votes
0
answers
23
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 $80$
Milicevic3306
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in
Electronic Devices
Mar 26, 2018
by
Milicevic3306
15.8k
points
28
views
gate2013-ec
electronic-devices
0
votes
0
answers
24
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 $20$ $30$ $40$ $50$
Milicevic3306
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in
Electronic Devices
Mar 26, 2018
by
Milicevic3306
15.8k
points
32
views
gate2013-ec
electronic-devices
0
votes
0
answers
25
GATE ECE 2013 | Question: 38
Consider two identically distributed zero-mean 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 $x$ $F(x) - G(x) \leq 0$ $F(x) - G(x) \geq 0$ $(F(x) - G(x)) \cdot x\leq 0$ $(F(x) - G(x)) \cdot x\geq 0$
Milicevic3306
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in
Probability and Statistics
Mar 26, 2018
by
Milicevic3306
15.8k
points
110
views
gate2013-ec
probability-and-statistics
probability
random-variable
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{1-e^{-2s}}{s(s+2)(s+3)} $
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in
Differential Equations
Mar 26, 2018
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Milicevic3306
15.8k
points
43
views
gate2013-ec
differential-equations
laplace-transform
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 $\frac{s+1}{5s^{2}+6s+2} \\$ $\frac{s+1}{s^{2}+6s+2} \\$ $\frac{s+1}{s^{2}+4s+2} \\$ $\frac{1}{5s^{2}+6s+2}$
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in
Control Systems
Mar 26, 2018
by
Milicevic3306
15.8k
points
95
views
gate2013-ec
transfer-function
control-systems
signal-flow-graph
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 $−2x(t)$
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Differential Equations
Mar 26, 2018
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Milicevic3306
15.8k
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51
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gate2013-ec
differential-equations
0
votes
0
answers
29
GATE ECE 2013 | Question: 41
In the circuit shown below the $\text{op-amps}$ are ideal. Then $V_{\text{out}}$ in $\text{Volts}$ is $4$ $6$ $8$ $10$
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Analog Circuits
Mar 26, 2018
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Milicevic3306
15.8k
points
32
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gate2013-ec
analog-circuits
electronic-devices
0
votes
0
answers
30
GATE ECE 2013 | Question: 35
The ac schematic of an $NMOS$ common-source 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 $8$ $32$ $50$ $200$
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Electronic Devices
Mar 26, 2018
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Milicevic3306
15.8k
points
32
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gate2013-ec
electronic-devices
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 $\begin{bmatrix} \alpha & \beta & \gamma & \delta \end{bmatrix}.$ ... $\begin{bmatrix} \alpha & \beta & \gamma & \delta \end{bmatrix}$
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Vector Analysis
Mar 26, 2018
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Milicevic3306
15.8k
points
32
views
gate2013-ec
vector-analysis
0
votes
0
answers
32
GATE ECE 2013 | Question: 29
The open-loop 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 open-loop system is $1$ $5$ $10$ $100$
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Network Solution Methods
Mar 26, 2018
by
Milicevic3306
15.8k
points
62
views
gate2013-ec
network-solution-methods
transfer-function
0
votes
0
answers
33
GATE ECE 2013 | Question: 34
The small-signal 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) $12.5$ $25$ $50$ $100$
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Electronic Devices
Mar 26, 2018
by
Milicevic3306
15.8k
points
37
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gate2013-ec
electronic-devices
mosfet
0
votes
0
answers
34
GATE ECE 2013 | Question: 33
The impulse response of a continuous time system is given by $h(t) = \delta(t-1) + \delta(t-3).$ The value of the step response at $t = 2$ is $0$ $1$ $2$ $3$
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in
Continuous-time Signals
Mar 26, 2018
by
Milicevic3306
15.8k
points
46
views
gate2013-ec
continuous-time-signals
impulse-response
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 $80/100$
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Electronic Devices
Mar 26, 2018
by
Milicevic3306
15.8k
points
57
views
gate2013-ec
electronic-devices
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 $q_{1} + q_{2}$ ... $(q_{1}R_{2} + q_{2}R_{1})/(R_{1} + R_{2})$
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Digital Circuits
Mar 26, 2018
by
Milicevic3306
15.8k
points
60
views
gate2013-ec
digital-circuits
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 $250$
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Electronic Devices
Mar 26, 2018
by
Milicevic3306
15.8k
points
43
views
gate2013-ec
electronic-devices
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 $4/9$ $1/2$ $2/3$ $5/9$
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Probability and Statistics
Mar 26, 2018
by
Milicevic3306
15.8k
points
57
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gate2013-ec
probability-and-statistics
probability
random-variable
independent-events
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 ... $2$ $5$ $8$ $16$
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Linear Algebra
Mar 26, 2018
by
Milicevic3306
15.8k
points
40
views
gate2013-ec
linear-algebra
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 $100\angle 90^{\circ}$ $800\angle 0^{\circ}$ $800\angle 90^{\circ}$ $100\angle 60^{\circ}$
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Network Solution Methods
Mar 26, 2018
by
Milicevic3306
15.8k
points
47
views
gate2013-ec
thevenin-theorem
network-solution-methods
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