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Recent questions tagged gate2014-ec-1
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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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Verbal Aptitude
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gate2014-ec-1
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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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Analytical Aptitude
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gate2014-ec-1
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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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Verbal Aptitude
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gate2014-ec-1
verbal-ability
most-appropriate-word
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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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Quantitative Aptitude
Mar 26, 2018
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gate2014-ec-1
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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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Quantitative Aptitude
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gate2014-ec-1
numerical-ability
sequence-series
numerical-answers
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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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Analytical Aptitude
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gate2014-ec-1
analytical-aptitude
logical-reasoning
odd-one
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7
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 non-resident female with annual income $Rs$ $16$ lakh
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Analytical Aptitude
Mar 26, 2018
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68
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gate2014-ec-1
analytical-aptitude
logical-reasoning
passage-reading
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8
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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Quantitative Aptitude
Mar 26, 2018
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47
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gate2014-ec-1
numerical-ability
speed-time-distance
numerical-answers
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0
answers
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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Quantitative Aptitude
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gate2014-ec-1
numerical-ability
data-interpretation
bar-graph
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0
answers
10
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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Quantitative Aptitude
Mar 26, 2018
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Milicevic3306
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points
41
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gate2014-ec-1
numerical-ability
probability
0
votes
0
answers
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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Linear Algebra
Mar 26, 2018
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Milicevic3306
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62
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gate2014-ec-1
linear-algebra
matrices
1
vote
1
answer
12
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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Probability and Statistics
Mar 26, 2018
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Milicevic3306
15.8k
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428
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gate2014-ec-1
numerical-answers
probability-and-statistics
probability
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0
answers
13
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 $-4\pi(1+j2)$ $4\pi(3-j2)$ $-4\pi(3+j2)$ $4\pi(1-j2)$
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Complex Analysis
Mar 26, 2018
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Milicevic3306
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59
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gate2014-ec-1
complex-analysis
0
votes
0
answers
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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Linear Algebra
Mar 26, 2018
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Milicevic3306
15.8k
points
91
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gate2014-ec-1
linear-algebra
matrices
eigen-values
numerical-answers
0
votes
0
answers
15
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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Probability and Statistics
Mar 26, 2018
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Milicevic3306
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70
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gate2014-ec-1
numerical-answers
probability-and-statistics
probability
uniform-distribution
0
votes
0
answers
16
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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Electromagnetics
Mar 26, 2018
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50
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gate2014-ec-1
electromagnetics
0
votes
0
answers
17
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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Network Solution Methods
Mar 26, 2018
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44
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gate2014-ec-1
network-solution-methods
0
votes
0
answers
18
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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Electronic Devices
Mar 26, 2018
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gate2014-ec-1
numerical-answers
electronic-devices
0
votes
0
answers
19
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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Electronic Devices
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70
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gate2014-ec-1
electronic-devices
p-n-junction-diode
0
votes
0
answers
20
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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Analog Circuits
Mar 26, 2018
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85
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gate2014-ec-1
analog-circuits
mosfet
0
votes
0
answers
21
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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Electromagnetics
Mar 26, 2018
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Milicevic3306
15.8k
points
62
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gate2014-ec-1
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 voltage-voltage feedback voltage-current feedback current-voltage feedback current-current feedback
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Analog Circuits
Mar 26, 2018
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77
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gate2014-ec-1
analog-circuits
control-systems
0
votes
0
answers
23
GATE ECE 2014 Set 1 | Question: 13
In the low-pass filter shown in the figure, for a cut-off frequency of $5\:kHz,$ the value of $R_{2}\:(\text{in}\:k\Omega)$ is ______.
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Analog Circuits
Mar 26, 2018
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Milicevic3306
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56
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gate2014-ec-1
numerical-answers
analog-circuits
low-pass-filters
0
votes
0
answers
24
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 body-effect, 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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Analog Circuits
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89
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gate2014-ec-1
analog-circuits
electronic-devices
nmos-transistor
0
votes
2
answers
25
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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Digital Circuits
Mar 26, 2018
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131
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gate2014-ec-1
digital-circuits
boolean-algebra
0
votes
0
answers
26
GATE ECE 2014 Set 1 | Question: 16
Five JK flip-flops 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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Number Representations
Mar 26, 2018
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132
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gate2014-ec-1
numerical-answers
flip-flops
digital-circuits
0
votes
1
answer
27
GATE ECE 2014 Set 1 | Question: 17
A discrete-time 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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Continuous-time Signals
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138
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gate2014-ec-1
continuous-time-signals
discrete-time-signals
0
votes
0
answers
28
GATE ECE 2014 Set 1 | Question: 18
Consider two real valued signals, $x(t)$ band-limited to $[-500\:Hz,500\:Hz]$ and $y(t)$ band-limited to $[-1\:kHz,1\:kHz].$ For $z(t) = x(t)\cdot y(t),$ the Nyquist sampling frequency (in $kHz$) is _______.
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Control Systems
Mar 26, 2018
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points
73
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gate2014-ec-1
numerical-answers
nyquist
control-systems
0
votes
0
answers
29
GATE ECE 2014 Set 1 | Question: 19
A continuous, linear time-invariant 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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Network Solution Methods
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69
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gate2014-ec-1
numerical-answers
steady-state
network-solution-methods
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 $G(s) = \frac{K}{(s+2)(s-1)}$. The value of $K$ which will place both the poles of the closed-loop system at the same location, is _______.
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Network Solution Methods
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Milicevic3306
15.8k
points
43
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gate2014-ec-1
numerical-answers
transfer-function
network-solution-methods
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 all-pass filter $G(s)$ is a strictly proper transfer function $G(s)$ is a stable and minimum-phase transfer function The closed-loop system is unstable for sufficiently large and positive $k$
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Control Systems
Mar 26, 2018
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88
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gate2014-ec-1
control-systems
nyquist
0
votes
0
answers
32
GATE ECE 2014 Set 1 | Question: 22
In a code-division 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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Communications
Mar 26, 2018
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15.8k
points
65
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gate2014-ec-1
numerical-answers
code-division-multiple-access
communications
0
votes
0
answers
33
GATE ECE 2014 Set 1 | Question: 23
The capacity of a Binary Symmetric Channel $\text{(BSC)}$ with cross-over probability $0.5$ is ________.
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Others
Mar 26, 2018
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Milicevic3306
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48
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gate2014-ec-1
numerical-answers
0
votes
0
answers
34
GATE ECE 2014 Set 1 | Question: 24
A two-port network has scattering parameters given by $[S] = \begin{bmatrix}s_{11} &s_{12} \\s_{21} &s_{22} \end{bmatrix}.$ If the port-2 of the two-port is short circuited, the $s_{11}$ ... $\dfrac{s_{11} - s_{11}s_{22} + s_{12}s_{21}}{1 - s_{22}}$
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Network Solution Methods
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Milicevic3306
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51
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gate2014-ec-1
two-port-network
network-solution-methods
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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Others
Mar 26, 2018
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Milicevic3306
15.8k
points
37
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gate2014-ec-1
0
votes
0
answers
36
GATE ECE 2014 Set 1 | Question: 26
The Taylor series expansion of $3\sin x + 2 \cos x$ is $2 + 3x-x^{2} – \frac{x^{3}}{2} + \dots$ $2 – 3x + x^{2} – \frac{x^{3}}{2} + \dots$ $2 + 3x + x^{2} + \frac{x^{3}}{2} + \dots$ $2 – 3x – x^{2} + \frac{x^{3}}{2} + \dots$
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Calculus
Mar 26, 2018
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Milicevic3306
15.8k
points
50
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gate2014-ec-1
calculus
taylor-series
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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Complex Analysis
Mar 26, 2018
by
Milicevic3306
15.8k
points
48
views
gate2014-ec-1
complex-analysis
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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Vector Analysis
Mar 26, 2018
by
Milicevic3306
15.8k
points
71
views
gate2014-ec-1
numerical-answers
vector-analysis
0
votes
0
answers
39
GATE ECE 2014 Set 1 | Question: 29
Consider the matrix ... $\alpha$ is a non-negative real number. The value of $\alpha$ for which $\text{det(P)} = 0$ is _______.
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Linear Algebra
Mar 26, 2018
by
Milicevic3306
15.8k
points
126
views
gate2014-ec-1
numerical-answers
linear-algebra
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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Network Solution Methods
Mar 26, 2018
by
Milicevic3306
15.8k
points
64
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gate2014-ec-1
numerical-answers
network-solution-methods
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