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Recent questions tagged gate2018ec
0
votes
5
answers
1
GATE2018GA10
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 company has spotted ... are on the decline and could soon vanish. Helicopter connectivity would lead to an increase in tourists coming to the region.
asked
Feb 19, 2018
in
Verbal Ability
by
gatecse
(
1.4k
points)
gate2018ec
generalaptitude
verbalability
passagereading
0
votes
1
answer
2
GATE2018GA9
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 in the ... the tune. Which of the following options is closest to the probability that the accident was caused by a blue cab? 12% 15% 41% 80%
asked
Feb 19, 2018
in
Numerical Ability
by
gatecse
(
1.4k
points)
gate2018ec
numericalability
probability
0
votes
1
answer
3
GATE2018GA8
The Cricket Board has long recognized John's potential as a leader of the team. However, his onfield temper has always been a matter of concern for them since his junior days. While this aggression has filled stadia with diehard fans. it has taken a toll on his own batting. Until recently, it ... ), (ii) and (iii) only (iii) and (iv) only (ii) and (iv) only (i), (ii), (iii) and (iv)
asked
Feb 19, 2018
in
Verbal Ability
by
gatecse
(
1.4k
points)
gate2018ec
generalaptitude
verbalability
passagereading
0
votes
1
answer
4
GATE2018GA7
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$:$ $5:10$ $7:13$ $6:11$ $9:13$
asked
Feb 19, 2018
in
Numerical Ability
by
gatecse
(
1.4k
points)
gate2018ec
generalaptitude
numericalability
ratioproportions
0
votes
1
answer
5
GATE2018GA6
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? $5,00,000$ $6,21,000$ $6,66,667$ $7,50,000$
asked
Feb 19, 2018
in
Numerical Ability
by
gatecse
(
1.4k
points)
gate2018ec
generalaptitude
numericalability
compoundinterest
0
votes
1
answer
6
GATE2018GA5
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? $1.5$ $3$ $4.5$ $6$
asked
Feb 19, 2018
in
Numerical Ability
by
gatecse
(
1.4k
points)
gate2018ec
generalaptitude
numericalability
geometry
0
votes
1
answer
7
GATE2018GA1
“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
asked
Feb 19, 2018
in
Verbal Ability
by
gatecse
(
1.4k
points)
gate2018ec
generalaptitude
verbalability
mostappropriateword
0
votes
1
answer
8
GATE2018GA2
“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
asked
Feb 19, 2018
in
Verbal Ability
by
gatecse
(
1.4k
points)
gate2018ec
generalaptitude
verbalability
mostappropriateword
0
votes
1
answer
9
GATE2018GA3
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 _________. $0$ $2$ $5$ $6$
asked
Feb 19, 2018
in
Numerical Ability
by
gatecse
(
1.4k
points)
gate2018ec
generalaptitude
numericalability
geometry
0
votes
1
answer
10
GATE2018GA4
What is the value of $1+\frac{1}{4}+\frac{1}{16}+\frac{1}{256}+ \cdots?$ $2$ $\frac{7}{4}$ $\frac{3}{2}$ $\frac{4}{3}$
asked
Feb 19, 2018
in
Numerical Ability
by
gatecse
(
1.4k
points)
gate2018ec
generalaptitude
numericalability
geometricprogression
0
votes
0
answers
11
GATE201855
Let $X\left[ k \right ] = k + 1,0\leq k\leq 7$ be $8$point $\:\text{DFT}\:$ of a sequence $x[n]$. where $X\left [ k \right ]=\sum_{n=0}^{N1}x \left [ n \right ]e^{j2\pi nk/N}$. The value (correct to two decimal places) of $\sum_{n=0}^{3}x \left [ 2n \right ]$ is ________.
asked
Feb 19, 2018
in
Others
by
gatecse
(
1.4k
points)
gate2018ec
numericalanswers
engineeringmathematics
0
votes
0
answers
12
GATE201851
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 _______.
asked
Feb 19, 2018
in
Others
by
gatecse
(
1.4k
points)
gate2018ec
numericalanswers
complexanalysis
engineeringmathematics
integrals
0
votes
0
answers
13
GATE201847
The logic gates shown in the digital circuit below use strong pulldown $\text{nMOS}$ transistors for LOW logic level at the outputs. When the pulldowns are off, highvalue resistors set the output logic levels to HIGH (i.e. the pullups are weak). Note that some nodes are ... distinct values of $X_{3}X_{2}X_{1}X_{0}$ (out of the $16$ possible values) that give $Y=1$ is ________.
asked
Feb 19, 2018
in
Others
by
gatecse
(
1.4k
points)
gate2018ec
numericalanswers
digitalcircuits
logicgates
0
votes
1
answer
14
GATE201848
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 at a frequency ... , the guide wavelength is found to be $4\:\text{cm}$. The value of $b$ (in cm, correct to two decimal places) is ________.
asked
Feb 19, 2018
in
Others
by
gatecse
(
1.4k
points)
gate2018ec
numericalanswers
electromagnetics
waveguides
0
votes
0
answers
15
GATE201849
A uniform plane wave traveling in free space and having the electric field ... $=1$) as shown in the figure and there is no reflected wave. The relative permittivity (correct to two decimal places) of the dielectric medium is __________.
asked
Feb 19, 2018
in
Others
by
gatecse
(
1.4k
points)
gate2018ec
numericalanswers
overrightarrow
vectoralgebra
engineeringmathematics
0
votes
0
answers
16
GATE201846
In the circuit shown below, a positive edgetriggered $D$ FlipFlop 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 equal and the ... clock period is $0.3$, the average value (in volts, accurate to two decimal places) of the voltage at node $X$, is _________.
asked
Feb 19, 2018
in
Others
by
gatecse
(
1.4k
points)
gate2018ec
numericalanswers
digitalcircuits
flipflops
xorgate
0
votes
0
answers
17
GATE201852
Let $r=x^{2}+yz$ 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 _________ .
asked
Feb 19, 2018
in
Others
by
gatecse
(
1.4k
points)
gate2018ec
numericalanswers
differentialequations
engineeringmathematics
0
votes
0
answers
18
GATE201850
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 _________.
asked
Feb 19, 2018
in
Others
by
gatecse
(
1.4k
points)
gate2018ec
numericalanswers
differentialequations
engineeringmathematics
0
votes
0
answers
19
GATE201854
A band limited lowpass 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 ________.
asked
Feb 19, 2018
in
Others
by
gatecse
(
1.4k
points)
gate2018ec
numericalanswers
continuoustimesignals
signalsandsystems
samplingtheorem
0
votes
0
answers
20
GATE201853
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 _________.
asked
Feb 19, 2018
in
Others
by
gatecse
(
1.4k
points)
gate2018ec
numericalanswers
networks
0
votes
0
answers
21
GATE201840
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 $Z$ has uniform probability density over the interval $(1,1).\: X$ and $Z$ ... $\alpha$ (accurate to two decimal places) is ________.
asked
Feb 19, 2018
in
Others
by
gatecse
(
1.4k
points)
gate2018ec
numericalanswers
propabilities
engineeringmathematics
0
votes
0
answers
22
GATE201841
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 closedloop frequency response is $2$. The corresponding value of the gain $\text{K}$ (correct to two decimal places) is _________.
asked
Feb 19, 2018
in
Others
by
gatecse
(
1.4k
points)
gate2018ec
numericalanswers
networksolutionmethods
networks
transferfunction
0
votes
1
answer
23
GATE201842
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 _________.
asked
Feb 19, 2018
in
Others
by
gatecse
(
1.4k
points)
gate2018ec
numericalanswers
networksolutionmethods
networks
transferfunction
0
votes
0
answers
24
GATE201843
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 $M_{2}$ must be $> 1.0\:V$ ... $V_{x}$ is ________.
asked
Feb 19, 2018
in
Others
by
gatecse
(
1.4k
points)
gate2018ec
numericalanswers
electronicdevices
thresholdvoltage
0
votes
0
answers
25
GATE201844
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 _________.
asked
Feb 19, 2018
in
Others
by
gatecse
(
1.4k
points)
gate2018ec
numericalanswers
electronicdevices
solarcell
0
votes
0
answers
26
GATE201845
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 $k=1.38\times 10^{23}J\cdot K^{1},$ ... $\left ( T=300 K \right ),$ the magnitude of the builtin potential (in volts, correct to two decimal places) across this junction will be __________.
asked
Feb 19, 2018
in
Others
by
gatecse
(
1.4k
points)
gate2018ec
numericalanswers
boltzmanconstant
doping
digitalcircuits
0
votes
0
answers
27
GATE201837
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 resistances can be ... $\mu A$, correct to one decimal place) is __________.
asked
Feb 19, 2018
in
Others
by
gatecse
(
1.4k
points)
gate2018ec
numericalanswers
analogcircuits
dccurrent
thermalequivalentvoltage
0
votes
0
answers
28
GATE201838
An opamp based circuit is implemented as shown below. In the above circuit, assume the opamp to be ideal. The voltage (in volts, correct to one decimal place) at node $A$, connected to the negative input of the opamp as indicated in the figure is ________.
asked
Feb 19, 2018
in
Others
by
gatecse
(
1.4k
points)
gate2018ec
numericalanswers
analogcircuits
opamps
0
votes
0
answers
29
GATE201839
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 ________.
asked
Feb 19, 2018
in
Others
by
gatecse
(
1.4k
points)
gate2018ec
numericalanswers
differentialequations
engineeringmathematics
hilberttransformer
0
votes
0
answers
30
GATE201836
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 _______.
asked
Feb 19, 2018
in
Others
by
gatecse
(
1.4k
points)
gate2018ec
numericalanswers
analogcircuits
0
votes
0
answers
31
GATE201835
For the circuit given in the figure, the voltage $V_{c}$ (in volts) across the capacitor is $1.25\sqrt{2}\sin\left ( 5t0.25\pi \right )$ $1.25\sqrt{2}\sin\left ( 5t0.125\pi \right )$ $2.5\sqrt{2}\sin\left ( 5t0.25\pi \right )$ $2.5\sqrt{2}\sin\left ( 5t0.125\pi \right )$
asked
Feb 19, 2018
in
Others
by
gatecse
(
1.4k
points)
gate2018ec
analogcircuits
0
votes
0
answers
32
GATE201834
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 $\ln\left (1+\dfrac{y^{2}}{x^{2}}\right)=x1$ ... $\ln\left (1+\dfrac{y}{x}\right)=x1$ $\dfrac{1}{2}\ln\left (1+\dfrac{y}{x}\right)=x1$
asked
Feb 19, 2018
in
Others
by
gatecse
(
1.4k
points)
gate2018ec
differentialequations
engineeringmathematics
0
votes
0
answers
33
GATE201832
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 bit lines ... $\begin{bmatrix} 1 &0 \\ 1&0 \end{bmatrix}$ $\begin{bmatrix} 1 &1 \\ 0&0 \end{bmatrix}$
asked
Feb 19, 2018
in
Others
by
gatecse
(
1.4k
points)
gate2018ec
digitalcircuits
romarray
matrix
0
votes
0
answers
34
GATE201831
A fourvariable 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 $\left ( UV+\overline{U}\:\overline{V}\right )\overline{W}$ ... $\left ( U\:\overline{V}+\overline{U}\:V\right )\left (\overline{W}\: \overline{X}+\overline{W}\:X\right )$
asked
Feb 19, 2018
in
Others
by
gatecse
(
1.4k
points)
gate2018ec
digitalcircuits
booleanfunctions
0
votes
0
answers
35
GATE201830
Red (R), Green(G) and Blue (B) Light Emitting Diodes (LEDs) were fabricated using $\text{pn}$ junctions of three different inorganic semiconductors having different bandgaps. The builtin voltages of red,green and blue diodes are $V_{R}$, $V_{G}$ and $V_{B},$respectively. Assume donor and acceptor ... $V_{R}<V_{G}<V_{B}$ $V_{R}=V_{G}=V_{B}$ $V_{R}>V_{G}<V_{B}$
asked
Feb 19, 2018
in
Others
by
gatecse
(
1.4k
points)
gate2018ec
electronicdevices
led
0
votes
0
answers
36
GATE201829
The state equation and the output equation of a control system are given below: $\dot{x}=\begin{bmatrix} 4 & 1.5\\ 4& 0 \end{bmatrix}x+\begin{bmatrix} 2\\ 0 \end{bmatrix}u,$ $y=\begin{bmatrix} 1.5 & 0.625 \end{bmatrix}x.$ ... $\dfrac{3s1.875}{s^{2}+4s+6}$ $\dfrac{4s+1.5}{s^{2}+4s+6}$ $\dfrac{6s+5}{s^{2}+4s+6}$
asked
Feb 19, 2018
in
Others
by
gatecse
(
1.4k
points)
gate2018ec
networksolutionmethods
networks
stateequations
matrix
0
votes
0
answers
37
GATE201828
Consider a white Gaussian noise process $\text{N(t)}$ with twosided 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 $0.11$ $0.22$ $0.33$ $0.44$
asked
Feb 19, 2018
in
Others
by
gatecse
(
1.4k
points)
gate2018ec
gaussiannoise
powerspectraldensity
communications
0
votes
0
answers
38
GATE201833
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 $0.12$ $0.23$ $0.46$ $2.3$
asked
Feb 19, 2018
in
Others
by
gatecse
(
1.4k
points)
gate2018ec
analogcircuits
0
votes
0
answers
39
GATE201826
The circuit shown in the figure is used to provide regulated voltage $(5 V)$ across the $1\: k\Omega$ resistor. Assume that the Zener diode has a constant reverse breakdown voltage for a current range, starting from a minimum required Zener current, $I_{Z min}=2\:mA$ to its maximum allowable ... $10\:mW$ $100\:\Omega$ and $40\:mW$ $100\:\Omega$ and $10\:mW$ $186\:\Omega$ and $40\:mW$
asked
Feb 19, 2018
in
Others
by
gatecse
(
1.4k
points)
gate2018ec
electronicdevices
zenerdiode
0
votes
0
answers
40
GATE201827
Let $c\left ( t \right )=A_{c} \cos \left ( 2\pi f_{c}t\right )$ and $m\left ( t \right )=\cos \left ( 2\pi f_{m}t\right )$. It is given that $f_{c}>> 5f_{m}.$ The signal $c\left ( t \right )+m\left ( t \right )$ is applied to the input of a ... (AM) wave. If it is desired to have the sideband power of the AM wave to be half of the carrier power, then $a/b$ is $0.25$ $0.5$ $1$ $2$
asked
Feb 19, 2018
in
Others
by
gatecse
(
1.4k
points)
gate2018ec
communications
amwave
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