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Recent questions tagged gate2016ec3
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GATE ECE 2016 Set 3  GA Question: 1
An apple costs Rs.$10$. An onion costs Rs.$8$. Select the most suitable sentence with respect to grammar and usage. The price of an apple is greater than an onion. The price of an apple is more than onion. The price of an apple is greater than that of an onion. Apples are more costlier than onions.
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Mar 28, 2018
in
Verbal Ability
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gate2016ec3
verbalability
englishgrammar
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0
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2
GATE ECE 2016 Set 3  GA Question: 2
The Buddha said, “Holding on to anger is like grasping a hot coal with the intent of throwing it at someone else; you are the one who gets burnt. ” Select the word below which is closest in meaning to the word underlined above. burning igniting clutching flinging
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Mar 28, 2018
in
Verbal Ability
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Milicevic3306
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35
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gate2016ec3
verbalability
mostappropriateword
0
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1
answer
3
GATE ECE 2016 Set 3  GA Question: 3
$M$ has a son $Q$ and a daughter $R.$ He has no other children. $E$ is the mother of $P$ and daughterinlaw of $M.$ How is $P$ related to $M?$ $P$ is the soninlaw of $M$ $P$ is the grandchild of $M$ $P$ is the daughterinlaw of $M$ $P$ is the grandfather of $M$
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Mar 28, 2018
in
Analytical Aptitude
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54
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gate2016ec3
analyticalaptitude
familyrelationships
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0
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4
GATE ECE 2016 Set 3  GA Question: 4
The number that least fits this set$:(324,441,97$ and $64)$ is $324$ $441$ $97$ $64$
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Mar 28, 2018
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Analytical Aptitude
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Milicevic3306
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35
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gate2016ec3
analyticalaptitude
logicalreasoning
sequenceseries
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5
GATE ECE 2016 Set 3  GA Question: 5
It takes $10$s and $15$s, respectively, for two trains traveling at a different constant speeds to completely pass a telegraph post. The length of the first train is $120$ m and that of the second train is $150$ m. The magnitude of the difference in the speeds of the two trains (in m/s) is _________ $2.0$ $10.0$ $12.0$ $22.0$
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Mar 28, 2018
in
Numerical Ability
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Milicevic3306
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36
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gate2016ec3
numericalability
speedtimedistance
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6
GATE ECE 2016 Set 3  GA Question: 6
The velocity $V$ of a vehicle along a straight line is measured in m/s and plotted as shown with respect to time in seconds. At the end of the $7$ seconds, how much will the odometer reading increase by (in m)? $0$ $3$ $4$ $5$
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Mar 28, 2018
in
Numerical Ability
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Milicevic3306
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15.8k
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33
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gate2016ec3
numericalability
speedtimedistance
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0
answers
7
GATE ECE 2016 Set 3  GA Question: 7
The overwhelming number of people infected with rabies in India has been flagged by the World Health Organization as a source of concern. It is estimated that inoculating $70\%$ of pets and stray dogs against rabies can lead to a significant ... be eradicated in India by vaccinating $70\%$ of stray dogs. Stray dogs are the main source of rabies worldwide.
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Mar 28, 2018
in
Analytical Aptitude
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Milicevic3306
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15.8k
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34
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gate2016ec3
analyticalaptitude
logicalreasoning
passagereading
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0
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8
GATE ECE 2016 Set 3  GA Question: 8
A flat is shared by four firstyear undergraduate students. They agreed to allow the oldest of them to enjoy some extra space in the flat. Manu is two months older than Sravan, who is three months younger than Trideep. Pavan is one month older than Sravan. Who should occupy the extra space in the flat? Manu Sravan Trideep Pavan
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Mar 28, 2018
in
Analytical Aptitude
by
Milicevic3306
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15.8k
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33
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gate2016ec3
analyticalaptitude
logicalreasoning
0
votes
0
answers
9
GATE ECE 2016 Set 3  GA Question: 9
Find the area bounded by the lines $3x+2y=14$, $2x3y=5$ in the first quadrant. $14.95$ $15.25$ $15.70$ $20.35$
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Mar 28, 2018
in
Numerical Ability
by
Milicevic3306
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15.8k
points)

41
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gate2016ec3
numericalability
geometry
cartesiancoordinates
0
votes
0
answers
10
GATE ECE 2016 Set 3  GA Question: 10
A straight line is fit to a data set $(\text{ln }x,y).$ This line intercepts the abscissa at $\text{ln } x =0.1$ and has a slope of $0.02$. What is the value of $y$ at $x=5$ from the fit? $0.030$ $0.014$ $0.014$ $0.030$
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Mar 28, 2018
in
Numerical Ability
by
Milicevic3306
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15.8k
points)

41
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gate2016ec3
numericalability
geometry
cartesiancoordinates
0
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0
answers
11
GATE ECE 2016 Set 3  Question: 1
Consider a $2\times2$ sqaure matrix $\textbf{A}= \begin{bmatrix} \sigma &x\\ \omega &\sigma \end{bmatrix},$ where $x$ is unknown. If the eigen values of the matrix $\textbf{A}$ are $(\sigma + j\omega)$ and $(\sigma  j\omega)$, then $x$ is equal to $+j\omega$ $j\omega$ $+\omega$ $\omega$
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Mar 28, 2018
in
Linear Algebra
by
Milicevic3306
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15.8k
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39
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gate2016ec3
linearalgebra
matrices
0
votes
0
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12
GATE ECE 2016 Set 3  Question: 2
For $f(z)= \large\frac{\sin(z)}{z^2}$, the residue of the pole at $z = 0$ is _______
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Mar 28, 2018
in
Complex Analysis
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Milicevic3306
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15.8k
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40
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gate2016ec3
numericalanswers
complexanalysis
0
votes
0
answers
13
GATE ECE 2016 Set 3  Question: 3
The probability of getting a “head” in a single toss of a biased coin is $0.3$. The coin is tossed repeatedly till a head is obtained. If the tosses are independent, then the probability of getting “head” for the first time in the fifth toss is _______
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Mar 28, 2018
in
Probability and Statistics
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Milicevic3306
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15.8k
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66
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gate2016ec3
probabilityandstatistics
probability
independentevents
0
votes
0
answers
14
GATE ECE 2016 Set 3  Question: 4
The integral $\int\limits_{0}^{1}\large\frac{dx}{\sqrt{(1x)}}$ is equal to _______
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Mar 28, 2018
in
Calculus
by
Milicevic3306
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15.8k
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44
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gate2016ec3
numericalanswers
calculus
definiteintegrals
0
votes
0
answers
15
GATE ECE 2016 Set 3  Question: 5
Consider the first order initial value problem $y’= y+2xx^2 ,\ y(0)=1,\ (0 \leq x < \infty)$ with exact solution $y(x) = x^2 + e^x$. For $x = 0.1$, the percentage difference between the exact solution and the solution obtained using a single iteration of the secondorder RungaKutta method with stepsize $h=0.1$ is _______
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Mar 28, 2018
in
Numerical Methods
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Milicevic3306
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15.8k
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41
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gate2016ec3
numericalanswers
numericalmethods
0
votes
0
answers
16
GATE ECE 2016 Set 3  Question: 6
Consider the signal $x(t) = \cos(6\pi t) + \sin (8\pi t)$, where $t$ is in seconds. The Nyquist sampling rate (in samples/second) for the signal $y(t) = x(2t + 5)$ is $8$ $12$ $16$ $32$
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Mar 28, 2018
in
Control Systems
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Milicevic3306
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gate2016ec3
controlsystems
nyquist
0
votes
0
answers
17
GATE ECE 2016 Set 3  Question: 7
If the signal $x(t) = \large \frac{\sin(t)}{\pi t}$*$\large \frac{\sin(t)}{\pi t}$ with $*$ denoting the convolution operation, then $x(t)$ is equal to $\large\frac{\sin(t)}{\pi t}$ $\large\frac{\sin(2t)}{2\pi t}$ $\large\frac{2\sin(t)}{\pi t}$ $\bigg(\frac{\sin(t)}{\pi t}\bigg)^2$
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Mar 28, 2018
in
Network Solution Methods
by
Milicevic3306
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15.8k
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32
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gate2016ec3
signalsandsystems
0
votes
0
answers
18
GATE ECE 2016 Set 3  Question: 8
A discretetime signal $x[n] = \delta[n – 3] + 2 \delta[n – 5]$ has $z$transform $X(z)$. If $Y(z) = X(z)$ is the $z$transform of another signal $y[n]$, then $y[n] = x[n]$ $y[n] = x[n]$ $y[n] = x[n]$ $y[n] = x[n]$
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Mar 28, 2018
in
Continuoustime Signals
by
Milicevic3306
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15.8k
points)

39
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gate2016ec3
continuoustimesignals
signalsandsystems
discretetimesignals
0
votes
0
answers
19
GATE ECE 2016 Set 3  Question: 9
In the RLC circuit shown in the figure, the input voltage is given by $v_i(t) = 2\cos (200t) + 4\sin (500t).$ The output voltage $v_o(t)$ is $\cos (200t) + 2\sin (500t)$ $2\cos (200t) + 4\sin (500t)$ $\sin (200t) + 2\cos (500t)$ $2\sin (200t) + 4\cos (500t)$
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Mar 28, 2018
in
Network Solution Methods
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Milicevic3306
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15.8k
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35
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gate2016ec3
networksolutionmethods
rlccircuits
0
votes
0
answers
20
GATE ECE 2016 Set 3  Question: 10
The $IV$ characteristics of three types of diodes at the room temperature, made of semiconductors $X, Y$ and $Z$, are shown in the figure. Assume that the diodes are uniformly doped and identical in all respects except their materials. If $E_{gX}$,$E_{gY}$ ... $E_{gX}=E_{gY}=E_{gZ}$ $E_{gX}<E_{gY}<E_{gZ}$ no relationship among these band gaps exists.
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Mar 28, 2018
in
Digital Circuits
by
Milicevic3306
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15.8k
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50
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gate2016ec3
digitalcircuits
semiconductor
0
votes
0
answers
21
GATE ECE 2016 Set 3  Question: 11
The figure shows the band diagram of a Metal Oxide Semiconductor (MOS). The surface region of this MOS is in inversion accumulation depletion flat band
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Mar 28, 2018
in
Electronic Devices
by
Milicevic3306
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15.8k
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34
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gate2016ec3
electronicdevices
0
votes
0
answers
22
GATE ECE 2016 Set 3  Question: 12
The figure shows the $IV$ characteristics of a solar cell illuminated uniformly with solar light of power $100\ mW/cm^2$. The solar cell has an area of $3\ cm^2$ and a fill factor of $0.7$. The maximum efficiency (in $\%$) of the device is _______
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Mar 28, 2018
in
Electronic Devices
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Milicevic3306
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15.8k
points)

39
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gate2016ec3
numericalanswers
electronicdevices
0
votes
0
answers
23
GATE ECE 2016 Set 3  Question: 13
The diodes $D1$ and $D2$ in the figure are ideal and the capacitors are identical. The product $RC$ is very large compared to the time period of the ac voltage. Assuming that the diodes do not breakdown in the reverse bias, the output voltage $V_o$(in volt) at the steady state is _______
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Mar 28, 2018
in
Network Solution Methods
by
Milicevic3306
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15.8k
points)

56
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gate2016ec3
numericalanswers
networksolutionmethods
diodes
steadystate
0
votes
0
answers
24
GATE ECE 2016 Set 3  Question: 14
Consider the circuit shown in the figure. Assuming $V_{EE1} = V_{EE2} = 0.7$ volt, the value of the dc voltage $V_{C2}$(in volt) is _______
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Mar 28, 2018
in
Analog Circuits
by
Milicevic3306
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15.8k
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48
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gate2016ec3
numericalanswers
analogcircuits
0
votes
0
answers
25
GATE ECE 2016 Set 3  Question: 15
In the astable multivibrator circuit shown in the figure, the frequency of oscillation (in kHz) at the output pin $3$ is _______
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Mar 28, 2018
in
Analog Circuits
by
Milicevic3306
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15.8k
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58
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gate2016ec3
numericalanswers
analogcircuits
oscillator
0
votes
0
answers
26
GATE ECE 2016 Set 3  Question: 16
In an $8085$ microprocessor, the contents of the accumulator and the carry flag are $A7$ (in hex) and $0$, respectively. If the instruction $RLC$ is executed, then the contents of the accumulator (in hex) and the carry flag, respectively, will be $4E$ and $0$ $4E$ and $1$ $4F$ and $0$ $4F$ and $1$
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Mar 28, 2018
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Digital Circuits
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Milicevic3306
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29
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gate2016ec3
digitalcircuits
microprocessor8085
0
votes
0
answers
27
GATE ECE 2016 Set 3  Question: 17
The logic functionality realized by the circuit shown below is $OR$ $XOR$ $NAND$ $AND$
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Mar 28, 2018
in
Digital Circuits
by
Milicevic3306
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15.8k
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44
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gate2016ec3
digitalcircuits
combinationalcircuits
logicgates
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votes
0
answers
28
GATE ECE 2016 Set 3  Question: 18
The minimum number of $2$input $NAND$ gates required to implement a $2$input $XOR$ gate is $4$ $5$ $6$ $7$
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Mar 28, 2018
in
Digital Circuits
by
Milicevic3306
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15.8k
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35
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gate2016ec3
digitalcircuits
combinationalcircuits
logicgates
0
votes
0
answers
29
GATE ECE 2016 Set 3  Question: 19
The block diagram of a feedback control system is shown in the figure. The overall closedloop gain of $G$ of the system is $G = \large\frac{G_1G_2}{1+G_1H_1} \\$ $G = \large\frac{G_1G_2}{1+G_1G_2+G_1H_1} \\$ $G = \large\frac{G_1G_2}{1+G_1G_2H_1} \\$ $G = \large\frac{G_1G_2}{1+G_1G_2+G_1G_2H_1}$
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Mar 28, 2018
in
Control Systems
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Milicevic3306
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15.8k
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gate2016ec3
controlsystems
blockdiagramrepresentation
0
votes
0
answers
30
GATE ECE 2016 Set 3  Question: 20
For the unity feedback control system shown in the figure, the openloop transfer function $G(s)$ is given as $G(s) = \frac{2}{s(s+1)}$ The steady state error $e_{ss}$ due to a unit step input is $0$ $0.5$ $1.0$ $\infty$
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Mar 28, 2018
in
Control Systems
by
Milicevic3306
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15.8k
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51
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gate2016ec3
controlsystems
transferfunction
0
votes
0
answers
31
GATE ECE 2016 Set 3  Question: 21
For a superheterodyne receiver, the intermediate frequency is $15\ MHz$ and the local oscillator frequency is $3.5\ GHz$. If the frequency of the received signal is greater than the local oscillator frequency, then the image frequency (in $MHz$) is _______
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Mar 28, 2018
in
Analog Circuits
by
Milicevic3306
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15.8k
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35
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gate2016ec3
numericalanswers
analogcircuits
oscillator
0
votes
0
answers
32
GATE ECE 2016 Set 3  Question: 22
An analog baseband signal, bandlimited to $100\ Hz$, is sampled at the Nyquist rate. The samples are quantized into four message symbols that occur independently with probabilities $p_1 = p_4 = 0.125$ and $p_2 = p_3$. The information rate (bits/sec) of the message source is _______
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Mar 28, 2018
in
Control Systems
by
Milicevic3306
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15.8k
points)

30
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gate2016ec3
numericalanswers
controlsystems
nyquist
probability
0
votes
0
answers
33
GATE ECE 2016 Set 3  Question: 23
A binary baseband digital communication system employs the signal $p(t) = \begin{cases}\large\frac{1}{\sqrt T_s},&0\leq t\leq T_s \\ \: 0, & \text{otherwise} \end{cases}$ for transmission of bits. The graphical representation of the matched filter output $y(t)$ for this signal will be
asked
Mar 28, 2018
in
Communications
by
Milicevic3306
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15.8k
points)

39
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gate2016ec3
digitalcommunications
communications
0
votes
0
answers
34
GATE ECE 2016 Set 3  Question: 24
If a righthanded circularly polarized wave is incident normally on a plane perfect conductor, then the reflected wave will be righthanded circularly polarized lefthanded circularly polarized elliptically polarized with a tilt angle of $45^ \circ$ horizontally polarized
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Mar 28, 2018
in
Electromagnetics
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Milicevic3306
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15.8k
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38
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gate2016ec3
electromagnetics
polarization
0
votes
0
answers
35
GATE ECE 2016 Set 3  Question: 25
Faraday's law of electromagnetic induction is mathematically described by which one of the following equations? $\nabla\ \bullet \overrightarrow{B} = 0$ $\nabla\ \bullet \overrightarrow{D} = \rho_V$ ...
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Mar 28, 2018
in
Electromagnetics
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15.8k
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32
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gate2016ec3
electromagnetics
0
votes
0
answers
36
GATE ECE 2016 Set 3  Question: 26
The particular solution of the initial value problem given below is $\frac{d^2y}{dx^2}+12\frac{dy}{dx}+36y=0\hspace{0.3cm} \text{ with } \hspace{0.3cm}y(0)=3\hspace{0.3cm} \text{ and }\hspace{0.3cm} \frac{dy}{dx} \bigg _{x=0} =36$ $(318x)e^{6x}$ $(3+25x)e^{6x}$ $(3+20x)e^{6x}$ $(312x)e^{6x}$
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Mar 28, 2018
in
Differential Equations
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Milicevic3306
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15.8k
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34
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gate2016ec3
differentialequations
0
votes
1
answer
37
GATE ECE 2016 Set 3  Question: 27
If the vectors $e_1=(1,0,2)$, $e_2=(0,1,0)$ and $e_3=(2,0,1)$ form an orthogonal basis of the threedimensional real space $\mathbb{R}^3$, then the vector $\textbf{u}=(4,3,3)\in \mathbb{R}^3 $ can be expressed as $\textbf{u}=$ ... \frac{2}{5}$e_1+3e_2+$\large\frac{11}{5}$e_3 \\$ $\textbf{u}=$\large\frac{2}{5}$e_1+3e_2$\large\frac{11}{5}$e_3$
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Mar 28, 2018
in
Vector Analysis
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15.8k
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55
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gate2016ec3
vectoranalysis
0
votes
0
answers
38
GATE ECE 2016 Set 3  Question: 28
A triangle in the $xy$plane is bounded by the straight lines $2x=3y, \: y=0$ and $x=3$. The volume above the triangle and under the plane $x+y+z=6$ is _______
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Mar 28, 2018
in
Vector Analysis
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Milicevic3306
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15.8k
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42
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gate2016ec3
numericalanswers
vectoranalysis
vectorinplanes
0
votes
0
answers
39
GATE ECE 2016 Set 3  Question: 29
The values of the integral $\large\frac{1}{2\pi j}\oint_c\frac{e^z}{(z2)} \small dz$ along a closed contour $c$ in anticlockwise direction for the point $z_0=2$ inside the contour $c$, and the point $z_0=2$ outside the contour $c$, respectively,are $(i)2.72, \: (ii) 0$ $(i)7.39, \: (ii) 0$ $(i)0, \: (ii) 2.72$ $(i)0, \: (ii) 7.39$
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Mar 28, 2018
in
Complex Analysis
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Milicevic3306
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15.8k
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27
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gate2016ec3
complexanalysis
0
votes
0
answers
40
GATE ECE 2016 Set 3  Question: 31
The ROC (region of convergence) of the $z$transform of a discretetime signal is represented by the shaded region in the $z$plane. If the signal $x[n]=(2.0)^{\mid n\mid},\infty<n<+\infty$, then the ROC of its $z$transform is represented by
asked
Mar 28, 2018
in
Numerical Methods
by
Milicevic3306
(
15.8k
points)

29
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gate2016ec3
numericalmethods
convergencecriteria
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