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Recent questions tagged gate2018-ec
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GATE ECE 2018 | GA Question: 9
A cab was involved in a hit and run accident at night. You are given the following data about the cabs in the city and the accident. 85% of cabs in the city are green and the remaining cabs are blue. A witness identified the cab involved ... tune. Which of the following options is closest to the probability that the accident was caused by a blue cab? 12% 15% 41% 80%
gatecse
asked
in
Quantitative Aptitude
Feb 19, 2018
by
gatecse
1.5k
points
184
views
gate2018-ec
numerical-ability
probability
0
votes
1
answer
2
GATE ECE 2018 | GA Question: 8
The Cricket Board has long recognized John's potential as a leader of the team. However, his on-field temper has always been a matter of concern for them since his junior days. While this aggression has filled stadia with die-hard fans. it has taken a toll on his own batting. ... (ii) and (iii) only (iii) and (iv) only (ii) and (iv) only (i), (ii), (iii) and (iv)
gatecse
asked
in
Verbal Aptitude
Feb 19, 2018
by
gatecse
1.5k
points
164
views
gate2018-ec
verbal-ability
verbal-reasoning
passage-reading
0
votes
1
answer
3
GATE ECE 2018 | GA Question: 7
Two alloys $A$ and $B$ contain gold and copper in the ratios of $2:3$ and $3: 7$ by mass, respectively. Equal masses of alloys $A$ and $B$ are melted to make an alloy $C.$ The ratio of gold to copper in alloy $C$ is$:$ $5:10$ $7:13$ $6:11$ $9:13$
gatecse
asked
in
Quantitative Aptitude
Feb 19, 2018
by
gatecse
1.5k
points
128
views
gate2018-ec
numerical-ability
ratio-proportions
0
votes
1
answer
4
GATE ECE 2018 | GA Question: 6
Leila aspires to buy a car worth Rs.$10,00,000$ after $5$ years. What is the minimum amount in Rupees that she should deposit now in a bank which offers $10\%$ annual rate of interest, if the interest was compounded annually? $5,00,000$ $6,21,000$ $6,66,667$ $7,50,000$
gatecse
asked
in
Quantitative Aptitude
Feb 19, 2018
by
gatecse
1.5k
points
158
views
gate2018-ec
numerical-ability
compound-interest
0
votes
1
answer
5
GATE ECE 2018 | GA Question: 5
A $1.5$ m tall person is standing at a distance of $3$ m from a lamp post. The light from the lamp at the top of the post casts her shadow. The length of the shadow is twice her height. What is the height of the lamp post in meters? $1.5$ $3$ $4.5$ $6$
gatecse
asked
in
Quantitative Aptitude
Feb 19, 2018
by
gatecse
1.5k
points
198
views
gate2018-ec
numerical-ability
geometry
0
votes
5
answers
6
GATE ECE 2018 | GA Question: 10
A coastal region with unparalleled beauty is home to many species of animals. It is dotted with coral reefs and unspoilt white sandy beaches. It has remained inaccessible to tourists due to poor connectivity and lack of accommodation. A ... on the decline and could soon vanish. Helicopter connectivity would lead to an increase in tourists coming to the region.
gatecse
asked
in
Verbal Aptitude
Feb 19, 2018
by
gatecse
1.5k
points
951
views
gate2018-ec
verbal-ability
verbal-reasoning
passage-reading
0
votes
1
answer
7
GATE ECE 2018 | GA Question: 4
What is the value of $1+\frac{1}{4}+\frac{1}{16}+\frac{1}{256}+ \cdots?$ $2$ $\frac{7}{4}$ $\frac{3}{2}$ $\frac{4}{3}$
gatecse
asked
in
Quantitative Aptitude
Feb 19, 2018
by
gatecse
1.5k
points
146
views
gate2018-ec
numerical-ability
geometric-progression
0
votes
1
answer
8
GATE ECE 2018 | GA Question: 3
If the number $715\blacksquare423$ is divisible by $3(\blacksquare$ denotes the missing digit in the thousandths place$),$ then the smallest whole number in the place of $\blacksquare$ is _________. $0$ $2$ $5$ $6$
gatecse
asked
in
Quantitative Aptitude
Feb 19, 2018
by
gatecse
1.5k
points
117
views
gate2018-ec
numerical-ability
number-system
0
votes
1
answer
9
GATE ECE 2018 | GA Question: 2
“Even though there is a vast scope for its _______, tourism has remained a/an ________ area.” The word that best fill the blanks in the above sentence are improvement, neglected rejection, approved fame, glum interest, disinterested
gatecse
asked
in
Verbal Aptitude
Feb 19, 2018
by
gatecse
1.5k
points
132
views
gate2018-ec
verbal-ability
most-appropriate-word
0
votes
1
answer
10
GATE ECE 2018 | GA Question: 1
“By giving him the last _______ of the cake, you will ensure lasting _______ in our house today.” The words that best fill the blanks in the above sentence are peas, piece piece, peace peace, piece peace, peas
gatecse
asked
in
Verbal Aptitude
Feb 19, 2018
by
gatecse
1.5k
points
109
views
gate2018-ec
verbal-ability
most-appropriate-word
0
votes
0
answers
11
GATE ECE 2018 | Question: 55
Let $X\left[ k \right ] = k + 1,0\leq k\leq 7$ be $8$-point $\:\text{DFT}\:$ of a sequence $x[n]$. where $X\left [ k \right ]=\sum_{n=0}^{N-1}x \left [ n \right ]e^{-j2\pi nk/N}$. The value (correct to two decimal places) of $\sum_{n=0}^{3}x \left [ 2n \right ]$ is ________.
gatecse
asked
in
Calculus
Feb 19, 2018
by
gatecse
1.5k
points
83
views
gate2018-ec
numerical-answers
calculus
0
votes
0
answers
12
GATE ECE 2018 | Question: 47
The logic gates shown in the digital circuit below use strong pull-down $\text{nMOS}$ transistors for LOW logic level at the outputs. When the pull-downs are off, high-value resistors set the output logic levels to HIGH (i.e. the pull-ups are weak). Note that some nodes ... values of $X_{3}X_{2}X_{1}X_{0}$ (out of the $16$ possible values) that give $Y=1$ is ________.
gatecse
asked
in
Number Representations
Feb 19, 2018
by
gatecse
1.5k
points
149
views
gate2018-ec
numerical-answers
digital-circuits
combinational-circuits
logic-gates
0
votes
0
answers
13
GATE ECE 2018 | Question: 46
In the circuit shown below, a positive edge-triggered $D$ Flip-Flop is used for sampling input data $D_{in}$ using clock $CK$. The XOR gate output $3.3$ volts for logic HIGH and $0$ volts for logic LOW levels. The data bit and clock periods are ... period is $0.3$, the average value (in volts, accurate to two decimal places) of the voltage at node $X$, is _________.
gatecse
asked
in
Number Representations
Feb 19, 2018
by
gatecse
1.5k
points
129
views
gate2018-ec
numerical-answers
digital-circuits
sequential-circuit
flip-flops
0
votes
0
answers
14
GATE ECE 2018 | Question: 52
Let $r=x^{2}+y-z$ and $z^{3}-xy+yz+y^{3}=1.$ Assume that $x$ and $y$ are independent variables. At $\left( x,y,z \right)=\left ( 2,-1,1 \right ),$ the value (correct to two decimal places) of $\dfrac{\partial r}{\partial x}$ is _________ .
gatecse
asked
in
Calculus
Feb 19, 2018
by
gatecse
1.5k
points
69
views
gate2018-ec
numerical-answers
calculus
partial-derivatives
0
votes
0
answers
15
GATE ECE 2018 | Question: 51
The contour $C$ given below is on the complex plane $z=x+j y,$ where $j=\sqrt{-1}.$ The value of the integral $\displaystyle{}\dfrac{1}{\pi j}\oint _{C}\dfrac{dz}{z^{2}-1}$ is _______.
gatecse
asked
in
Complex Analysis
Feb 19, 2018
by
gatecse
1.5k
points
347
views
gate2018-ec
numerical-answers
complex-analysis
0
votes
0
answers
16
GATE ECE 2018 | Question: 50
The position of a particle $y\left ( t \right )$ is described by the differential equation: $\frac{d^{2}y}{dt^{2}}=-\frac{dy}{dt}-\frac{5y}{4}.$ The initial conditions are $y\left ( 0 \right )=1$ and $\frac{dy}{dt}\mid_{t=0}=0$. The position (accurate to two decimal places) of the particle at $t=\pi$ is _________.
gatecse
asked
in
Differential Equations
Feb 19, 2018
by
gatecse
1.5k
points
70
views
gate2018-ec
numerical-answers
differential-equations
second-order-differential-equation
0
votes
1
answer
17
GATE ECE 2018 | Question: 48
The cutoff frequency of $TE_{01}$ mode of an air filled rectangular waveguide having inner dimensions $a\:\text{cm} \: \times \: b\: \text{cm}\:\left ( a> b \right )$ is twice that of the dominant $TE_{10}$ mode. When the waveguide is operated ... the guide wavelength is found to be $4\:\text{cm}$. The value of $b$ (in cm, correct to two decimal places) is ________.
gatecse
asked
in
Electromagnetics
Feb 19, 2018
by
gatecse
1.5k
points
103
views
gate2018-ec
numerical-answers
electromagnetics
waveguides
0
votes
0
answers
18
GATE ECE 2018 | Question: 49
A uniform plane wave traveling in free space and having the electric field ... ) as shown in the figure and there is no reflected wave. The relative permittivity (correct to two decimal places) of the dielectric medium is __________.
gatecse
asked
in
Electromagnetics
Feb 19, 2018
by
gatecse
1.5k
points
81
views
gate2018-ec
numerical-answers
electromagnetics
plane-waves-and-properties
0
votes
0
answers
19
GATE ECE 2018 | Question: 53
Consider the network shown below with $R_{1}=1\:\Omega,R_{2}=2\:\Omega$ and $R_{3}=3\:\Omega.$ The network is connected to a constant voltage source of $11\:V$. The magnitude of the current (in amperes, accurate to two decimal places ) through the source is _________.
gatecse
asked
in
Network Solution Methods
Feb 19, 2018
by
gatecse
1.5k
points
98
views
gate2018-ec
numerical-answers
network-solution-methods
0
votes
0
answers
20
GATE ECE 2018 | Question: 54
A band limited low-pass signal $x(t)$ of bandwidth $5\:kHz$ is sampled at a sampling rate $f_{s}$.The signal $x(t)$ is reconstructed using the reconstruction filter $H(f)$ whose magnitude response is shown below: The minimum sampling rate $f_{s}(\text{in}\: kHz)$ for perfect reconstruction of $x(t)$ is ________.
gatecse
asked
in
Continuous-time Signals
Feb 19, 2018
by
gatecse
1.5k
points
54
views
gate2018-ec
numerical-answers
continuous-time-signals
signals-and-systems
sampling-theorem
0
votes
0
answers
21
GATE ECE 2018 | Question: 40
A random variable $X$ takes values $-0.5$ and $0.5$ with probabilities $\dfrac{1}{4}$ and $\dfrac{3}{4}$, respectively. The noisy observation of $X\:\text{is}\:Y=X+Z,$ where $Z$ ... $\alpha$ (accurate to two decimal places) is ________.
gatecse
asked
in
Probability and Statistics
Feb 19, 2018
by
gatecse
1.5k
points
114
views
gate2018-ec
numerical-answers
probability-and-statistics
propability
random-variable
0
votes
0
answers
22
GATE ECE 2018 | Question: 39
The input $4\sin c(2t)$ is fed to a Hilbert transformer to obtain $y( t),$ as shown in the figure below: Here $\sin c \left ( x\right )=\dfrac{\sin\left ( \pi x \right )}{\pi x}.$ The value (accurate to two decimal places) of $\int ^{\infty }_{-\infty } \mid y( t ) \mid ^{2}dt$ is ________.
gatecse
asked
in
Continuous-time Signals
Feb 19, 2018
by
gatecse
1.5k
points
65
views
gate2018-ec
numerical-answers
hilbert-transformer
0
votes
0
answers
23
GATE ECE 2018 | Question: 43
In the circuit shown below, the $(W/L)$ value for $M_{2}$ is twice that for $M_{1}$. The two $\text{nMOS}$ transistors are otherwise identical. The threshold voltage $V_{T}$ for both transistors is $1.0\:V$. Note that $V_{GS}$ for $M_{2}$ ... $V_{x}$ is ________.
gatecse
asked
in
Analog Circuits
Feb 19, 2018
by
gatecse
1.5k
points
71
views
gate2018-ec
numerical-answers
analog-circuits
nmos-transistor
0
votes
0
answers
24
GATE ECE 2018 | Question: 44
A solar cell of area $1.0\:cm^{2},$ operating at $1.0$ sun intensity, has a short circuit current of $20\: mA$, and an open circuit voltage of $0.65\: V$. Assuming room temperature operation and thermal equivalent voltage of $26\: mV$, the open circuit voltage (in volts, correct to two decimal places) at $0.2$ sun intensity is _________.
gatecse
asked
in
Electronic Devices
Feb 19, 2018
by
gatecse
1.5k
points
84
views
gate2018-ec
numerical-answers
electronic-devices
0
votes
1
answer
25
GATE ECE 2018 | Question: 42
The figure below shows the Bode magnitude and phase plots of a stable transfer function $G\left ( s \right )=\dfrac{n_{0}}{s^{3}+d_{2}s^{2}+d_{1}s+d_{0}}.$ Consider the negative unity feedback configuration with gain $k$ in the feedforward path. The closed loop is stable for $k < k_{0}.$ The maximum value of $k_{0}$ is _________.
gatecse
asked
in
Network Solution Methods
Feb 19, 2018
by
gatecse
1.5k
points
276
views
gate2018-ec
numerical-answers
network-solution-methods
transfer-function
0
votes
0
answers
26
GATE ECE 2018 | Question: 41
For a unity feedback control system with the forward path transfer function $G\left ( s \right )=\dfrac{K}{s\left ( s+2 \right )}$The peak resonant magnitude $M_{r}$ of the closed-loop frequency response is $2$. The corresponding value of the gain $\text{K}$ (correct to two decimal places) is _________.
gatecse
asked
in
Network Solution Methods
Feb 19, 2018
by
gatecse
1.5k
points
74
views
gate2018-ec
numerical-answers
network-solution-methods
transfer-function
0
votes
0
answers
27
GATE ECE 2018 | Question: 37
A $dc$ current of $26\:\mu A$ flows through the circuit shown. The diode in the circuit is forward biased and it has an ideality factor of one. At the quiescent point, the diode has a junction capacitance of $0.5\:nF$. Its neutral region ... $\mu A$, correct to one decimal place) is __________.
gatecse
asked
in
Analog Circuits
Feb 19, 2018
by
gatecse
1.5k
points
191
views
gate2018-ec
numerical-answers
analog-circuits
0
votes
0
answers
28
GATE ECE 2018 | Question: 38
An op-amp based circuit is implemented as shown below. In the above circuit, assume the op-amp to be ideal. The voltage (in volts, correct to one decimal place) at node $A$, connected to the negative input of the op-amp as indicated in the figure is ________.
gatecse
asked
in
Analog Circuits
Feb 19, 2018
by
gatecse
1.5k
points
92
views
gate2018-ec
numerical-answers
analog-circuits
op-amps
0
votes
0
answers
29
GATE ECE 2018 | Question: 45
A junction is made between $p^{-Si}$ with doping density $N_{A1}=10^{15}cm^{-3}$ and $p^{Si}$ with doping density $N_{A2}=10^{17}cm^{-3}.$ Given: Boltzmann constant $k=1.38\times 10^{-23}J\cdot K^{-1},$ electronic charge ... the magnitude of the built-in potential (in volts, correct to two decimal places) across this junction will be __________.
gatecse
asked
in
Digital Circuits
Feb 19, 2018
by
gatecse
1.5k
points
106
views
gate2018-ec
numerical-answers
boltzman-constant
doping
digital-circuits
1
vote
1
answer
30
GATE ECE 2018 | Question: 31
A four-variable Boolean function is realized using $4\times 1$ multiplexers as shown in the figure. The minimized expression for $\text{F(U,V,W,X)}$ is $\left ( UV+\overline{U}\:\overline{V}\right )\overline{W}$ ... $\left ( U\:\overline{V}+\overline{U}\:V\right )\left (\overline{W}\: \overline{X}+\overline{W}\:X\right )$
gatecse
asked
in
Number Representations
Feb 19, 2018
by
gatecse
1.5k
points
261
views
gate2018-ec
digital-circuits
combinational-circuits
multiplexers
0
votes
0
answers
31
GATE ECE 2018 | Question: 32
A $2\times 2$ ROM array is built with the help of diodes as shown in the circuit below. Here $W0$ and $W1$ are signals that select the word lines and $B0$ and $B1$ are signals that are output of the sense amps based on the stored data corresponding to the ... $\begin{bmatrix} 1 &0 \\ 1&0 \end{bmatrix}$ $\begin{bmatrix} 1 &1 \\ 0&0 \end{bmatrix}$
gatecse
asked
in
Diode Circuits
Feb 19, 2018
by
gatecse
1.5k
points
134
views
gate2018-ec
digital-circuits
rom
0
votes
0
answers
32
GATE ECE 2018 | Question: 34
A curve passes through the point $\left ( x=1,y=0 \right )$ and satisfies the differential equation $\dfrac{\mathrm{dy} }{\mathrm{d} x}=\dfrac{x^{2}+y^{2}}{2y}+\dfrac{y}{x}.$ The equation that describes the curve is $\ln\left (1+\dfrac{y^{2}}{x^{2}}\right)=x-1$ ... $\ln\left (1+\dfrac{y}{x}\right)=x-1$ $\dfrac{1}{2}\ln\left (1+\dfrac{y}{x}\right)=x-1$
gatecse
asked
in
Differential Equations
Feb 19, 2018
by
gatecse
1.5k
points
75
views
gate2018-ec
differential-equations
0
votes
0
answers
33
GATE ECE 2018 | Question: 30
Red (R), Green(G) and Blue (B) Light Emitting Diodes (LEDs) were fabricated using $\text{p-n}$ junctions of three different inorganic semiconductors having different band-gaps. The built-in voltages of red,green and blue diodes are $V_{R}$, $V_{G}$ and $V_{B},$respectively. Assume donor ... $V_{R}<V_{G}<V_{B}$ $V_{R}=V_{G}=V_{B}$ $V_{R}>V_{G}<V_{B}$
gatecse
asked
in
Electronic Devices
Feb 19, 2018
by
gatecse
1.5k
points
95
views
gate2018-ec
electronic-devices
p-n-junction
0
votes
0
answers
34
GATE ECE 2018 | Question: 28
Consider a white Gaussian noise process $\text{N(t)}$ with two-sided power spectral density $S_{N}\left ( f \right )=0.5\:W/Hz$ as input to a filter with impulse response $0.5e^{-t^{2}/2}$ (where $t$ is in seconds) resulting in output $Y(t)$. The power in $Y(t)$ in watts is $0.11$ $0.22$ $0.33$ $0.44$
gatecse
asked
in
Communications
Feb 19, 2018
by
gatecse
1.5k
points
99
views
gate2018-ec
gaussian-noise
autocorrelation-and-power-spectral-density
communications
0
votes
0
answers
35
GATE ECE 2018 | Question: 29
The state equation and the output equation of a control system are given below: $\dot{x}=\begin{bmatrix} -4 & -1.5\\ 4& 0 \end{bmatrix}x+\begin{bmatrix} 2\\ 0 \end{bmatrix}u,$ $y=\begin{bmatrix} 1.5 & 0.625 \end{bmatrix}x.$ The transfer function representation of the ... $\dfrac{4s+1.5}{s^{2}+4s+6}$ $\dfrac{6s+5}{s^{2}+4s+6}$
gatecse
asked
in
Network Solution Methods
Feb 19, 2018
by
gatecse
1.5k
points
105
views
gate2018-ec
network-solution-methods
state-equations
0
votes
0
answers
36
GATE ECE 2018 | Question: 33
The distance (in meters) a wave has to propagate in a medium having a skin depth of $0.1\:m$ so that the amplitude of the wave attenuates by $20\:dB$, is $0.12$ $0.23$ $0.46$ $2.3$
gatecse
asked
in
Analog Circuits
Feb 19, 2018
by
gatecse
1.5k
points
67
views
gate2018-ec
analog-circuits
0
votes
0
answers
37
GATE ECE 2018 | Question: 35
For the circuit given in the figure, the voltage $V_{c}$ (in volts) across the capacitor is $1.25\sqrt{2}\sin\left ( 5t-0.25\pi \right )$ $1.25\sqrt{2}\sin\left ( 5t-0.125\pi \right )$ $2.5\sqrt{2}\sin\left ( 5t-0.25\pi \right )$ $2.5\sqrt{2}\sin\left ( 5t-0.125\pi \right )$
gatecse
asked
in
Analog Circuits
Feb 19, 2018
by
gatecse
1.5k
points
54
views
gate2018-ec
analog-circuits
0
votes
0
answers
38
GATE ECE 2018 | Question: 36
For the circuit given in the figure, the magnitude of the loop current (in amperes, correct to three decimal places) $0.5$ second after closing the switch is _______.
gatecse
asked
in
Analog Circuits
Feb 19, 2018
by
gatecse
1.5k
points
86
views
gate2018-ec
numerical-answers
analog-circuits
0
votes
0
answers
39
GATE ECE 2018 | Question: 23
Let $X_{1},\:X_{2},\:X_{3}$ and $X_{4}$ be independent normal random variable with zero mean and unit variance. The probability that $X_{4}$ is the smallest among the four is ________.
gatecse
asked
in
Probability and Statistics
Feb 19, 2018
by
gatecse
1.5k
points
97
views
gate2018-ec
numerical-answers
probability-and-statistics
probability
random-variable
variance
0
votes
0
answers
40
GATE ECE 2018 | Question: 24
Taylor series expansion of $f\left ( x \right )=\int ^{x}_{0}e^{-\left ( \frac{t^{2}}{2} \right )}dt$ around $x=0$ has the form $f\left ( x \right )={a}_{0}+a_{1}x+a_{2}x^{2}+...$ The coefficient $a_{2}$ (correct to two decimal places) is equal to ________.
gatecse
asked
in
Calculus
Feb 19, 2018
by
gatecse
1.5k
points
103
views
gate2018-ec
numerical-answers
calculus
taylor-series
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