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GATE ECE 2014 Set 3  GA Question: 1
India is a country of rich heritage and cultural diversity. Which one of the following facts best supports the claim made in the above sentence? India is a union of $28$ states and $7$ union territories. India has a population of ... India is home to $22$ official languages and thousands of dialects. The Indian cricket team draws players from over ten states.
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Mar 26, 2018
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Verbal Ability
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gate2014ec3
verbalability
verbalreasoning
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2
GATE ECE 2014 Set 3  GA Question: 2
The value of one U.S. dollar is $65$ Indian Rupees today, compared to $60$ last year. The Indian Rupee has ____________. depressed depreciated appreciated stabilized
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Mar 26, 2018
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Verbal Ability
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Milicevic3306
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gate2014ec3
verbalability
mostappropriateword
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3
GATE ECE 2014 Set 3  GA Question: 3
'Advice' is ________________. a verb a noun an adjective both a verb and a noun
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Mar 26, 2018
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Verbal Ability
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Milicevic3306
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gate2014ec3
verbalability
englishgrammar
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4
GATE ECE 2014 Set 3  GA Question: 4
The next term in the series $81, 54, 36, 24, \dots$ is ________
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Mar 26, 2018
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Analytical Aptitude
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Milicevic3306
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gate2014ec3
analyticalaptitude
logicalreasoning
sequenceseries
numericalanswers
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5
GATE ECE 2014 Set 3  GA Question: 5
In which of the following options will the expression $P < M$ be definitely true? $M < R > P > S$ $M > S < P < F$ $Q < M < F = P$ $P = A < R < M$
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Mar 26, 2018
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Analytical Aptitude
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Milicevic3306
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22
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gate2014ec3
analyticalaptitude
logicalreasoning
inequality
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6
GATE ECE 2014 Set 3  GA Question: 6
Find the next term in the sequence: $7G, 11K, 13M$,____ $15Q$ $17Q$ $15P$ $17P$
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Mar 26, 2018
in
Analytical Aptitude
by
Milicevic3306
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15.8k
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13
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gate2014ec3
analyticalaptitude
logicalreasoning
sequenceseries
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7
GATE ECE 2014 Set 3  GA Question: 7
The multilevel hierarchical pie chart shows the population of animals in a reserve forest. The correct conclusions from this information are: Butterflies are birds There are more tigers in this forest than red ants All reptiles in this forest are either snakes or crocodiles Elephants are ... (ii), (iii) and (iv) (i), (iii) and (iv) only (i), (ii) and (iii) only
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Mar 26, 2018
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Numerical Ability
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Milicevic3306
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gate2014ec3
numericalability
datainterpretation
piechart
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0
answers
8
GATE ECE 2014 Set 3  GA Question: 8
A man can row at $8$ $km$ per hour in still water. If it takes him thrice as long to row upstream, as to row downstream, then find the stream velocity in $km$ per hour.
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Mar 26, 2018
in
Numerical Ability
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Milicevic3306
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15.8k
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17
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gate2014ec3
numericalability
boatstreams
numericalanswers
0
votes
0
answers
9
GATE ECE 2014 Set 3  GA Question: 9
A firm producing air purifiers sold $200$ units in $2012$. The following pie chart presents the share of raw material, labour, energy, plant & machinery, and transportation costs in the total manufacturing cost of the firm in $2012$. The expenditure on labour ... a profit of Rs. $10$ lakhs in $2012$, at what price (in $Rs$.) was each air purifier sold?
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Mar 26, 2018
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Numerical Ability
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Milicevic3306
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15.8k
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14
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gate2014ec3
numericalability
datainterpretation
piechart
numericalanswers
0
votes
0
answers
10
GATE ECE 2014 Set 3  GA Question: 10
A batch of one hundred bulbs is inspected by testing four randomly chosen bulbs. The batch is rejected if even one of the bulbs is defective. A batch typically has five defective bulbs. The probability that the current batch is accepted is ________
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Mar 26, 2018
in
Numerical Ability
by
Milicevic3306
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15.8k
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12
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gate2014ec3
numericalability
probability
numericalanswers
0
votes
0
answers
11
GATE ECE 2014 Set 3  Question: 1
The maximum value of the function $f(x) = \text{ln } (1+x) – x $ (where $x >1$) occurs at $x=$_______.
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Mar 26, 2018
in
Calculus
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Milicevic3306
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15.8k
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30
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gate2014ec3
calculus
maximaminima
numericalanswers
0
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0
answers
12
GATE ECE 2014 Set 3  Question: 2
Which $ONE$ of the following is a linear nonhomogeneous differential equation, where $x$ and $y$ are the independent and dependent variables respectively? $\frac{dy}{dx}+xy= e^{x}$ $\frac{dy}{dx}+xy= 0$ $\frac{dy}{dx}+xy= e^{y}$ $\frac{dy}{dx}+ e^{y}= 0$
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Mar 26, 2018
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Differential Equations
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Milicevic3306
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15.8k
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23
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gate2014ec3
differentialequations
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13
GATE ECE 2014 Set 3  Question: 3
Match the application to appropriate numerical method. ... $P1M3,P2M1,P3M4,P4M2$ $P1M4,P2M1,P3M3,P4M2$ $P1M2,P2M1,P3M3,P4M4$
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Mar 26, 2018
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Numerical Methods
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Milicevic3306
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15.8k
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41
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gate2014ec3
numericalmethods
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14
GATE ECE 2014 Set 3  Question: 4
An unbiased coin is tossed an infinite number of times. The probability that the fourth head appears at the tenth toss is $0.067$ $0.073$ $0.082$ $0.091$
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Mar 26, 2018
in
Probability and Statistics
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Milicevic3306
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15.8k
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23
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gate2014ec3
probabilityandstatistics
probability
0
votes
0
answers
15
GATE ECE 2014 Set 3  Question: 5
If $z= xy \text{ ln} (xy)$, then $x\frac{\partial z}{\partial x}+y\frac{\partial z}{\partial y}= 0 \\$ $y\frac{\partial z}{\partial x}= x\frac{\partial z}{\partial y} \\$ $x\frac{\partial z}{\partial x}= y\frac{\partial z}{\partial y} \\$ $y\frac{\partial z}{\partial x}+x\frac{\partial z}{\partial y}= 0$
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Mar 26, 2018
in
Differential Equations
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Milicevic3306
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15.8k
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30
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gate2014ec3
differentialequations
partialdifferentialequations
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0
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16
GATE ECE 2014 Set 3  Question: 6
A series $RC$ circuit is connected to a $DC$ voltage source at time $t= 0$. The relation between the source voltage $V_{s},$ the resistance $R$, the capacitance $C$, and the current $i(t)$ is given below. $V_{s}= R \: i(t)+\frac{1}{c}\int ^{t}_{o}i(u)du$. Which one of the following represents the current $i(t)$?
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Mar 26, 2018
in
Electronic Devices
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Milicevic3306
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15.8k
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18
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gate2014ec3
electronicdevices
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0
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17
GATE ECE 2014 Set 3  Question: 7
In the figure shown, the value of the current $I$ (in Amperes) is __________.
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Mar 26, 2018
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Electronic Devices
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Milicevic3306
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15.8k
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13
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gate2014ec3
numericalanswers
electronicdevices
0
votes
0
answers
18
GATE ECE 2014 Set 3  Question: 8
In MOSFET fabrication, the channel length is defined during the process of isolation oxide growth channel stop implantation polysilicon gate patterning lithography step leading to the contact pads
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Mar 26, 2018
in
Electronic Devices
by
Milicevic3306
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15.8k
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16
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gate2014ec3
electronicdevices
analogcircuits
mosfet
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0
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19
GATE ECE 2014 Set 3  Question: 9
A thin $P$type silicon sample is uniformly illuminated with light which generates excess carriers. The recombination rate is directly proportional to the minority carrier mobility the minority carrier recombination lifetime the majority carrier concentration the excess minority carrier concentration
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Mar 26, 2018
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Electronic Devices
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Milicevic3306
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15.8k
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13
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gate2014ec3
electronicdevices
silicon
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0
answers
20
GATE ECE 2014 Set 3  Question: 10
At $T= 300 \: K$, the hole mobility of a semiconductor $\mu _{p}= 500$ $cm^{2}$/Vs$ and $\frac{kT}{q}= 26$ $mV$. The hole diffusion constant $D_{p}$ in $cm^{2}$/s$ is _________
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Mar 26, 2018
in
Electronic Devices
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Milicevic3306
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15.8k
points)

13
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gate2014ec3
numericalanswers
electronicdevices
diffusion
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0
answers
21
GATE ECE 2014 Set 3  Question: 11
The desirable characteristics of a transconductance amplifier are high input resistance and high output resistance high input resistance and low output resistance low input resistance and high output resistance low input resistance and low output resistance
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Mar 26, 2018
in
Analog Circuits
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Milicevic3306
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15.8k
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22
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gate2014ec3
amplifier
analogcircuits
0
votes
0
answers
22
GATE ECE 2014 Set 3  Question: 12
In the circuit shown, the $PNP$ transistor has $\mid V_{BE} \mid = 0.7 \:V$ and $\beta = 50$. Assume that $R_{B}= 100 \: k \Omega$. For $V_{0}$ to be $5 \: V$, the value of $R_{C}$ (in $k \Omega$) is ________
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Mar 26, 2018
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Electronic Devices
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Milicevic3306
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15.8k
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23
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gate2014ec3
numericalanswers
electronicdevices
pnptransistor
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votes
0
answers
23
GATE ECE 2014 Set 3  Question: 13
The figure shows a halfwave rectifier. The diode $D$ is ideal. The average steadystate current (in Amperes) through the diode is approximately ___________.
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Mar 26, 2018
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Analog Circuits
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Milicevic3306
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44
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gate2014ec3
numericalanswers
analogcircuits
diodes
0
votes
0
answers
24
GATE ECE 2014 Set 3  Question: 14
An analog voltage in the range $0$ to $8$ V is divided in $16$ equal intervals for conversion to $4$bit digital output. The maximum quantization error (in V) is __________
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Mar 26, 2018
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Analog Circuits
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Milicevic3306
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15.8k
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28
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gate2014ec3
numericalanswers
analogcircuits
voltagereferencecircuits
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votes
0
answers
25
GATE ECE 2014 Set 3  Question: 15
The circuit shown in the figure is a Toggle Flip Flop JK Flip Flop SR Latch MasterSlave D Flip Flop
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Mar 26, 2018
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Digital Circuits
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Milicevic3306
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15.8k
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24
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gate2014ec3
digitalcircuits
sequentialcircuit
flipflops
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votes
0
answers
26
GATE ECE 2014 Set 3  Question: 16
Consider the multiplexer based logic circuit shown in the figure. Which one of the following Boolean functions is realized by the circuit? $F= W \overline{S_1} \: \overline{S_2}$ $F= WS_1+WS_2 + S_{1}S_{2}$ $F= \overline{W}+S_{1}+S_{2}$ $F= W\oplus S_{1}\oplus S_{2}$
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Mar 26, 2018
in
Digital Circuits
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Milicevic3306
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15.8k
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26
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gate2014ec3
digitalcircuits
combinationalcircuits
multiplexers
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votes
0
answers
27
GATE ECE 2014 Set 3  Question: 17
Let $x(t)= \cos(10\pi t)+\cos(30\pi t)$ be sampled at $20 Hz$ and reconstructed using an ideal lowpass filter with cutoff frequency of $20 Hz$. The frequency/frequencies present in the reconstructed signal is/are $5$ Hz and $15$ Hz only $10$ Hz and $15$ Hzonly $5$ Hz, $10$ Hz and $15$Hz only $5$ Hz only
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Mar 26, 2018
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Electromagnetics
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Milicevic3306
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15.8k
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17
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gate2014ec3
electromagnetics
cutofffrequency
0
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0
answers
28
GATE ECE 2014 Set 3  Question: 18
For an allpass system $H(z)= \frac{(z^{1}b)}{(1az^{1})}$, where $\mid H(e^{j\omega }) \mid= 1,$ for all $\omega$. If $\text{Re}(a)\neq 0, \: \text{Im}(a)\neq 0,$then $b$ equals $a$ $a^{*}$ $1/a^{*}$ $1/a$
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Mar 26, 2018
in
Network Solution Methods
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Milicevic3306
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24
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gate2014ec3
continuoustimesignals
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answers
29
GATE ECE 2014 Set 3  Question: 19
A modulated signal is $y(t)= m(t)\cos(40000\pi t)$, where the baseband signal $m(t)$ has frequency components less than $5$ KHz only. The minimum required rate (in KHz) at which $y(t)$ should be sampled to recover $m(t)$ is _______.
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Mar 26, 2018
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Communications
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Milicevic3306
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15.8k
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16
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gate2014ec3
numericalanswers
digitalcommunications
communications
0
votes
0
answers
30
GATE ECE 2014 Set 3  Question: 20
Consider the following block diagram in the figure. The transfer function $\frac{C(s)}{R(s)}$ is $\frac{G_{1}G_{2}}{1+G_{1}G_{2}}$ $G_{1}G_{2}+G_{1}+1$ $G_{1}G_{2}+G_{2}+1$ $\frac{G_{1}}{1+G_{1}G_{2}}$
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Mar 26, 2018
in
Network Solution Methods
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Milicevic3306
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15.8k
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gate2014ec3
networksolutionmethods
transferfunction
0
votes
0
answers
31
GATE ECE 2014 Set 3  Question: 21
The input $3e^{2t}u(t),$ where $u(t)$ is the unit step function, is applied to a system with transfer function $\frac{s2}{s+3}.$ If the initial value of the output is $2$, then the value of the output at steady state is _______.
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Mar 26, 2018
in
Network Solution Methods
by
Milicevic3306
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15.8k
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18
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gate2014ec3
numericalanswers
networksolutionmethods
transferfunction
0
votes
0
answers
32
GATE ECE 2014 Set 3  Question: 22
The phase response of a passband waveform at the receiver is given by $\varphi (f)= 2\pi \alpha (ff_{c})2\pi \beta f_{c}$ where $f_{c}$ is the centre frequency, and $\alpha$ and $\beta$ are positive constants. The actual signal propagation delay from the ... $\frac{\alpha\beta }{\alpha +\beta } \\$ $\alpha \\$ $\beta$
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Mar 26, 2018
in
Electromagnetics
by
Milicevic3306
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15.8k
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14
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gate2014ec3
electromagnetics
0
votes
0
answers
33
GATE ECE 2014 Set 3  Question: 23
Consider an $FM$ signal $f(t)= \cos\left [ 2\pi f_{c} t+\beta _{1}\sin2\pi f_{1}t+\beta _{2}\sin2\pi f_{2}t\right ].$ The maximum deviation of the instantaneous frequency from the carrier frequency $f_{c}$ is $\beta _{1}f_{1}+\beta _{2}f_{2}$ $\beta _{1}f_{2}+\beta _{2}f_{1}$ $\beta _{1}+\beta _{2}$ $f _{1}+f _{2}$
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Mar 26, 2018
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Communications
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Milicevic3306
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15.8k
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31
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gate2014ec3
digitalcommunications
frequencymodulation
communications
0
votes
0
answers
34
GATE ECE 2014 Set 3  Question: 24
Consider an air filled rectangular waveguide with a crosssection of $5 \: cm \times 3 \: cm $. For this waveguide, the cutoff frequency (in MHz) of $TE_{21}$ mode is __________.
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Mar 26, 2018
in
Electromagnetics
by
Milicevic3306
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15.8k
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12
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gate2014ec3
numericalanswers
electromagnetics
cutofffrequency
0
votes
0
answers
35
GATE ECE 2014 Set 3  Question: 25
In the following figure, the transmitter $Tx$ sends a wideband modulated $RF$ signal via a coaxial cable to the receiver $Rx$. The output impedance $Z_{T}$ of $Tx$, the characteristic impedance $Z_{0}$ of the cable and the input impedance ... $Z_{R}\neq Z_{0}$ Impedance mismatches do NOT result in signal distortion but reduce power transfer efficiency
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Mar 26, 2018
in
Electromagnetics
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Milicevic3306
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15.8k
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15
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gate2014ec3
electromagnetics
impedance
0
votes
0
answers
36
GATE ECE 2014 Set 3  Question: 26
The maximum value of $f(x)$= $2x^{3}$ – $9x^{2}$ + $12x – 3$ in the interval $0\leq x\leq 3$ is _______.
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Mar 26, 2018
in
Calculus
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Milicevic3306
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15.8k
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15
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gate2014ec3
calculus
maximaminima
numericalanswers
0
votes
0
answers
37
GATE ECE 2014 Set 3  Question: 27
Which one of the following statements is NOT true for a square matrix $A$? If $A$ is upper triangular, the eigenvalues of $A$ are the diagonal elements of it If $A$ is real symmetric, the eigenvalues of $A$ are always real and positive If $A$ ... $A$ are positive, all the eigenvalues of $A$ are also positive
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Mar 26, 2018
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Linear Algebra
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Milicevic3306
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15.8k
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19
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gate2014ec3
linearalgebra
matrices
eigenvalues
0
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0
answers
38
GATE ECE 2014 Set 3  Question: 28
A fair coin is tossed repeatedly till both head and tail appear at least once. The average number of tosses required is _______ .
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Mar 26, 2018
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Probability and Statistics
by
Milicevic3306
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15.8k
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13
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gate2014ec3
probabilityandstatistics
probability
expectation
numericalanswers
0
votes
0
answers
39
GATE ECE 2014 Set 3  Question: 29
Let $X_{1},X_{2},$ and $X_{3}$ be independent and identically distributed random variables with the uniform distribution on $[0,1]$. The probability $P\left \{ X_{1}+X_{2}\leq X_{3}\right \}$ is _________.
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Mar 26, 2018
in
Probability and Statistics
by
Milicevic3306
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15.8k
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31
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gate2014ec3
probabilityandstatistics
probability
independentevents
randomvariable
uniformdistribution
numericalanswers
0
votes
0
answers
40
GATE ECE 2014 Set 3  Question: 31
In the circuit shown in the figure, the value of node voltage $V_{2}$ is $22+j$ $2$ $V$ $2 +j$ $22$ $V$ $22 j$ $2$ $V$ $2 j$ $22$ $V$
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Mar 26, 2018
in
Electronic Devices
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Milicevic3306
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15.8k
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23
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gate2014ec3
electronicdevices
nodevoltage
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