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GATE ECE 2014 Set 1  GA Question: 1
Choose the most appropriate phrase from the options given below to complete the following sentence. The aircraft _________ take off as soon as its flight plan was filed. is allowed to will be allowed to was allowed to has been allowed to
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Mar 26, 2018
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Verbal Ability
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gate2014ec1
verbalability
englishgrammar
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GATE ECE 2014 Set 1  GA Question: 2
Read the statements: All women are entrepreneurs. Some women are doctors. Which of the following conclusions can be logically inferred from the above statements? All women are doctors All doctors are entrepreneurs All entrepreneurs are women Some entrepreneurs are doctors
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Mar 26, 2018
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Analytical Aptitude
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gate2014ec1
analyticalaptitude
logicalreasoning
statementsfollow
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GATE ECE 2014 Set 1  GA Question: 3
Choose the most appropriate word from the options given below to complete the following sentence. Many ancient cultures attributed disease to supernatural causes. However, modern science has largely helped _________ such notions. impel dispel propel repel
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Mar 26, 2018
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Verbal Ability
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gate2014ec1
verbalability
mostappropriateword
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GATE ECE 2014 Set 1  GA Question: 4
The statistics of runs scored in a series by four batsmen are provided in the following table. Who is the most consistent batsman of these four? ... K L M N
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Mar 26, 2018
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Numerical Ability
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30
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gate2014ec1
numericalability
statistics
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GATE ECE 2014 Set 1  GA Question: 5
What is the next number in the series? $12$ $35$ $81$ $173$ $357$ ________,
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Mar 26, 2018
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Numerical Ability
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Milicevic3306
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25
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gate2014ec1
numericalability
sequenceseries
numericalanswers
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6
GATE ECE 2014 Set 1  GA Question: 6
Find the odd one from the following group: $W,E,K,O \qquad I,Q,W,A \qquad F,N,T,X \qquad N,V,B,D$ $W,E,K,O$ $I,Q,W,A $ $F,N,T,X $ $N,V,B,D$
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Mar 26, 2018
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Analytical Aptitude
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gate2014ec1
analyticalaptitude
logicalreasoning
oddone
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GATE ECE 2014 Set 1  GA Question: 7
For submitting tax returns, all resident males with annual income below $Rs$ $10$ lakh should fill up Form $P$ and all resident females with income below $Rs$ $8$ lakh should fill up Form $Q.$ All people with incomes above $Rs$ $10$ lakh ... $Rs$ $16$ lakh a nonresident female with annual income $Rs$ $16$ lakh
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Mar 26, 2018
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Analytical Aptitude
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Milicevic3306
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15.8k
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29
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gate2014ec1
analyticalaptitude
logicalreasoning
passagereading
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0
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GATE ECE 2014 Set 1  GA Question: 8
A train that is $280$ meters long, traveling at a uniform speed, crosses a platform in $60$ seconds and passes a man standing on the platform in $20$ seconds. What is the length of the platform in meters?
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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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19
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gate2014ec1
numericalability
speedtimedistance
numericalanswers
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0
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9
GATE ECE 2014 Set 1  GA Question: 9
The exports and imports (in crores of $Rs$.) of a country from $2000$ to $2007$ are given in the following bar chart. If the trade deficit is defined as excess of imports over exports, in which year is the trade deficit $\frac{1}{5}$th of the exports? $2005$ $2004$ $2007$ $2006$
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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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21
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gate2014ec1
numericalability
datainterpretation
bargraph
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GATE ECE 2014 Set 1  GA Question: 10
You are given three coins: one has heads on both faces, the second has tails on both faces, and the third has a head on one face and a tail on the other. You choose a coin at random and toss it, and it comes up heads. The probability that the other face is tails is $1/4$ $1/3$ $1/2$ $2/3$
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Mar 26, 2018
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Numerical Ability
by
Milicevic3306
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15.8k
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19
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gate2014ec1
numericalability
probability
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0
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11
GATE ECE 2014 Set 1  Question: 1
For matrices of same dimension $M, N$ and scalar $c$, which one of these properties DOES NOT ALWAYS hold? $(M^{T})^{T} = M$ $(cM)^{T} = c(M)^{T}$ $(M+N)^{T} = M^{T} + N^{T}$ $MN = NM$
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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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26
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gate2014ec1
linearalgebra
matrices
+1
vote
1
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GATE ECE 2014 Set 1  Question: 2
In a housing society, half of the families have a single child per family, while the remaining half have two children per family. The probability that a child picked at random, has a sibling is ________.
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Mar 26, 2018
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Probability and Statistics
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15.8k
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112
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gate2014ec1
numericalanswers
probabilityandstatistics
probability
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GATE ECE 2014 Set 1  Question: 3
$C$ is a closed path in the $z$plane given by $\mid z \mid = 3.$ The value of the integral $\displaystyle{}\oint_{C}\bigg(\dfrac{z^{2}z+4j}{z+2j}\bigg)dz$ is $4\pi(1+j2)$ $4\pi(3j2)$ $4\pi(3+j2)$ $4\pi(1j2)$
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Mar 26, 2018
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Complex Analysis
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21
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gate2014ec1
complexanalysis
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0
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14
GATE ECE 2014 Set 1  Question: 4
A real $(4 \times 4)$ matrix $A$ satisfies the equation $A^{2} = I$, where $I$ is the $(4 \times 4)$ identity matrix. The positive eigen value of $A$ is ______.
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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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32
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gate2014ec1
linearalgebra
matrices
eigenvalues
numericalanswers
0
votes
0
answers
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GATE ECE 2014 Set 1  Question: 5
Let $X_{1},X_{2},$ and $X_{3}$ be independent and identically distributed random variables with the uniform distribution on $[0,1].$ The probability $P\{X_{1}\: \text{is the largest}\}$ is ________.
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Mar 26, 2018
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Probability and Statistics
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Milicevic3306
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15.8k
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31
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gate2014ec1
numericalanswers
probabilityandstatistics
probability
uniformdistribution
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votes
0
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GATE ECE 2014 Set 1  Question: 6
For maximum power transfer between two cascaded sections of an electrical network, the relationship between the output impedance $Z_{1}$ of the first section to the input impedance $Z_{2}$ of the second section is $Z_{2} = Z_{1}$ $Z_{2} = Z_{1}$ $Z_{2} = Z_{1}^{\ast}$ $Z_{2} = Z_{1}^{\ast}$
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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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23
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gate2014ec1
electromagnetics
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GATE ECE 2014 Set 1  Question: 7
Consider the configuration shown in the figure which is a portion of a larger electrical network For $R = 1\: \Omega$ and currents $i_{1} = 2A,i_{4} = 1A,i_{5} = 4A,$ which one of the following is $\textbf{TRUE}?$ ... is sufficient to conclude that the supposed currents are impossible Data is insufficient to identify the currents $i_{2},i_{3},$ and $i_{6}$
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Mar 26, 2018
in
Network Solution Methods
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Milicevic3306
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gate2014ec1
networksolutionmethods
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GATE ECE 2014 Set 1  Question: 8
When the optical power incident on a photodiode is $10\:\mu W$ and the responsivity is $0.8\: A/ W,$ the photocurrent generated $(\text{in} \:\mu A)$ is_______.
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Mar 26, 2018
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Electronic Devices
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gate2014ec1
numericalanswers
electronicdevices
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0
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GATE ECE 2014 Set 1  Question: 9
In the figure, assume that the forward voltage drops of the $PN$ diode $D_{1}$ and Schottky diode $D_{2}$ are $0.7\: V$ and $0.3\: V,$ ... is ON and $D_{2}$ is OFF both $D_{1}$ and $D_{2}$ are OFF $D_{1}$ is OFF and $D_{2}$ is ON
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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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gate2014ec1
electronicdevices
pnjunctiondiode
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GATE ECE 2014 Set 1  Question: 10
If fixed positive charges are present in the gate oxide of an $n$channel enhancement type MOSFET, it will lead to a decrease in the threshold voltage channel length modulation an increase in substrate leakage current an increase in accumulation capacitance
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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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gate2014ec1
analogcircuits
mosfet
0
votes
0
answers
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GATE ECE 2014 Set 1  Question: 11
A good current buffer has low input impedance and low output impedance low input impedance and high output impedance high input impedance and low output impedance high input impedance and high output impedance
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Mar 26, 2018
in
Electromagnetics
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Milicevic3306
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15.8k
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24
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gate2014ec1
electromagnetics
impedance
0
votes
0
answers
22
GATE ECE 2014 Set 1  Question: 12
In the ac equivalent circuit shown in the figure, if $i_{in}$ is the input current and $R_{F}$ is very large, the type of feedback is voltagevoltage feedback voltagecurrent feedback currentvoltage feedback currentcurrent feedback
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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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43
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gate2014ec1
analogcircuits
controlsystems
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votes
0
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GATE ECE 2014 Set 1  Question: 13
In the lowpass filter shown in the figure, for a cutoff frequency of $5\:kHz,$ the value of $R_{2}\:(\text{in}\:k\Omega)$ is ______.
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Mar 26, 2018
in
Analog Circuits
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Milicevic3306
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gate2014ec1
numericalanswers
analogcircuits
lowpassfilters
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votes
0
answers
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GATE ECE 2014 Set 1  Question: 14
In the following circuit employing pass transistor logic, all NMOS transistors are identical with a threshold voltage of $1\: V.$ Ignoring the bodyeffect, the output voltage at $P,Q$ and $R$ are, $4\: V, 3\:V,2\:V$ $5\: V, 5\:V,5\:V$ $4\: V, 4\:V,4\:V$ $5\: V, 4\:V,3\:V$
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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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34
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gate2014ec1
analogcircuits
electronicdevices
nmostransistor
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votes
2
answers
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GATE ECE 2014 Set 1  Question: 15
The Boolean expression $(X+Y)(X+\overline{Y}) + \overline{(X\;\overline{Y}) + \overline{X}}$ simplifies to $X$ $Y$ $XY$ $X+Y$
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Mar 26, 2018
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Digital Circuits
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15.8k
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66
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gate2014ec1
digitalcircuits
booleanalgebra
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votes
0
answers
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GATE ECE 2014 Set 1  Question: 16
Five JK flipflops are cascaded to form the circuit shown in Figure. Clock pulses at a frequency of $1\: MHz$ are applied as shown. The frequency $(\text{in}\:kHz)$ of the waveform at $Q3$ is ________.
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Mar 26, 2018
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Digital Circuits
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Milicevic3306
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gate2014ec1
numericalanswers
flipflops
digitalcircuits
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1
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GATE ECE 2014 Set 1  Question: 17
A discretetime signal $x[n] = \sin(\pi^{2}n),n$ being an integer, is periodic with period $\pi$ periodic with period $\pi^{2}$ periodic with period $\pi/2$ not periodic
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Mar 26, 2018
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Continuoustime Signals
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44
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gate2014ec1
continuoustimesignals
discretetimesignals
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votes
0
answers
28
GATE ECE 2014 Set 1  Question: 18
Consider two real valued signals, $x(t)$ bandlimited to $[500\:Hz,500\:Hz]$ and $y(t)$ bandlimited to $[1\:kHz,1\:kHz].$ For $z(t) = x(t)\cdot y(t),$ the Nyquist sampling frequency (in $kHz$) is _______.
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Mar 26, 2018
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Control Systems
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Milicevic3306
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gate2014ec1
numericalanswers
nyquist
controlsystems
0
votes
0
answers
29
GATE ECE 2014 Set 1  Question: 19
A continuous, linear timeinvariant filter has an impulse response $h(t)$ described by $h(t) = \begin{cases}3 & \text{for } 0 \leq t \leq 3 \\ 0 & \text{otherwise} \end{cases}$ When a constant input of value $5$ is applied to this filter, the steady state output is ________.
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Mar 26, 2018
in
Network Solution Methods
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32
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gate2014ec1
numericalanswers
steadystate
networksolutionmethods
0
votes
0
answers
30
GATE ECE 2014 Set 1  Question: 20
The forward path transfer function of a unity negative feedback system is given by $G(s) = \frac{K}{(s+2)(s1)}$. The value of $K$ which will place both the poles of the closedloop system at the same location, is _______.
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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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21
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gate2014ec1
numericalanswers
transferfunction
networksolutionmethods
0
votes
0
answers
31
GATE ECE 2014 Set 1  Question: 21
Consider the feedback system shown in the figure. The Nyquist plot of $G(s)$ is also shown. Which one of the following conclusions is correct? $G(s)$ is an allpass filter $G(s)$ is a strictly proper transfer function $G(s)$ is a stable and minimumphase transfer function The closedloop system is unstable for sufficiently large and positive $k$
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Mar 26, 2018
in
Control Systems
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Milicevic3306
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15.8k
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23
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gate2014ec1
controlsystems
nyquist
0
votes
0
answers
32
GATE ECE 2014 Set 1  Question: 22
In a codedivision multiple access $(\text{CDMA})$ system with $N = 8$ chips, the maximum number of users who can be assigned mutually orthogonal signature sequences is ________.
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Mar 26, 2018
in
Communications
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15.8k
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25
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gate2014ec1
numericalanswers
codedivisionmultipleaccess
communications
0
votes
0
answers
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GATE ECE 2014 Set 1  Question: 23
The capacity of a Binary Symmetric Channel $\text{(BSC)}$ with crossover probability $0.5$ is ________.
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Mar 26, 2018
in
Others
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gate2014ec1
numericalanswers
0
votes
0
answers
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GATE ECE 2014 Set 1  Question: 24
A twoport network has scattering parameters given by $[S] = \begin{bmatrix}s_{11} &s_{12} \\s_{21} &s_{22} \end{bmatrix}.$ If the port2 of the twoport is short circuited, the $s_{11}$ ... $\dfrac{s_{11}  s_{11}s_{22} + s_{12}s_{21}}{1  s_{22}}$
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Mar 26, 2018
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Network Solution Methods
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Milicevic3306
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gate2014ec1
twoportnetwork
networksolutionmethods
0
votes
0
answers
35
GATE ECE 2014 Set 1  Question: 25
The force on a point charge $+q$ kept at a distance $d$ from the surface of an infinite grounded metal plate in a medium of permittivity $\epsilon\:$ is $0$ $\dfrac{q^{2}}{16\pi \epsilon d^{2}}$ away from the plate $\dfrac{q^{2}}{16\pi \epsilon d^{2}}$ towards the plate $\dfrac{q^{2}}{4\pi \epsilon d^{2}}$ towards the plate
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Mar 26, 2018
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Others
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Milicevic3306
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20
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gate2014ec1
0
votes
0
answers
36
GATE ECE 2014 Set 1  Question: 26
The Taylor series expansion of $3\sin x + 2 \cos x$ is $2 + 3xx^{2} – \frac{x^{3}}{2} + \dots$ $2 – 3x + x^{2} – \frac{x^{3}}{2} + \dots$ $2 + 3x + x^{2} + \frac{x^{3}}{2} + \dots$ $2 – 3x – x^{2} + \frac{x^{3}}{2} + \dots$
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Mar 26, 2018
in
Calculus
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15.8k
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20
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gate2014ec1
calculus
taylorseries
0
votes
0
answers
37
GATE ECE 2014 Set 1  Question: 27
For a function $g(t),$ it is given that $\int_{ \infty}^{ + \infty} g(t)e^{j\omega t}\:dt = \omega e^{2\omega^{2}}$ for any real value $\omega.$ If $y(t) = \int_{ \infty}^{t}\:g(\tau)\:d\tau,$ then $\int_{ \infty}^{ + \infty}y(t)dt$ is $0$ $j$ $\frac{j}{2}$ $\frac{j}{2}$
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Mar 26, 2018
in
Complex Analysis
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15.8k
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20
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gate2014ec1
complexanalysis
0
votes
0
answers
38
GATE ECE 2014 Set 1  Question: 28
The volume under the surface $z(x,y) = x + y$ and above the triangle in the $x – y$ plane defined by $\{0 \leq y \leq x \: \text{and} \: 0 \leq x \leq 12\}$ is _______.
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Mar 26, 2018
in
Vector Analysis
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Milicevic3306
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15.8k
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29
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gate2014ec1
numericalanswers
vectoranalysis
0
votes
0
answers
39
GATE ECE 2014 Set 1  Question: 29
Consider the matrix ... $\alpha$ is a nonnegative real number. The value of $\alpha$ for which $\text{det(P)} = 0$ is _______.
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Mar 26, 2018
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Linear Algebra
by
Milicevic3306
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15.8k
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25
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gate2014ec1
numericalanswers
linearalgebra
matrices
determinant
0
votes
0
answers
40
GATE ECE 2014 Set 1  Question: 30
A $Y$network has resistances of $10\Omega$ each in two of its arms, while the third arm has a resistance of $11\Omega.$ In the equivalent $\Delta$ – network, the lowest value (in $\Omega)$ among the three resistances is ______.
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Mar 26, 2018
in
Network Solution Methods
by
Milicevic3306
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15.8k
points)

35
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gate2014ec1
numericalanswers
networksolutionmethods
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