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GATE2019 EC: GA3
It would take one machine $4$ hours to complete a production order and another machine $2$ hours to complete the same order. If both machines work simultaneously at their respective constant rates, the time taken to complete the same order is ________ hours. $2/3$ $3/4$ $4/3$ $7/3$
answered
Jul 23
in
Numerical Ability
by
Debdeep1998
(
180
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gate2019ec
generalaptitude
numericalability
worktime
0
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1
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2
GATE2019 EC: GA1
The strategies that the company ________ to sell its products _______ housetohouse marketing. use, includes uses, include used, includes uses, including
answered
Jul 23
in
Verbal Ability
by
sudoankit
(
220
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gate2019ec
generalaptitude
verbalability
englishgrammar
0
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1
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3
GATE2019 EC: GA5
When he did not come home, she _______ him lying dead on the roadside somewhere. concluded looked notice pictured
answered
Jul 23
in
Verbal Ability
by
sudoankit
(
220
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gate2019ec
generalaptitude
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mostappropriateword
0
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1
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4
GATE2019 EC: GA2
The boat arrived ______ dawn. in at on under
answered
Jul 23
in
Verbal Ability
by
sudoankit
(
220
points)
gate2019ec
generalaptitude
verbalability
englishgrammar
0
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1
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5
GATE2019 EC: 17
The number of distinct eigenvalues of the matrix $A=\begin{bmatrix} 2&2&3&3\\0&1&1&1\\0&0&3&3\\0&0&0&2 \end{bmatrix}$ is equal to ____________.
answered
Jul 23
in
Others
by
yuviabhi
(
140
points)
gate2019ec
numericalanswers
0
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1
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6
GATE2017 EC1: GA10
A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour lines are shown at $25$ m intervals in this plot. The path from $P$ to $Q$ is best described by UpDownUpDown DownUpDownUp DownUpDown UpDownUp
answered
Jul 23
in
Numerical Ability
by
Debdeep1998
(
180
points)
gate2017ec1
generalaptitude
numericalability
datainterpretation
0
votes
0
answers
7
GATE2017 EC1: 1
Consider the 5X 5 matrix $\begin{bmatrix} 1&2&3&4&5\\ 5&1 &2& 3 &4\\ 4&5&1&2&3\\ 3&4&5&1&2\\ 2&3&4&5&1 \end{bmatrix}$ It is given that A has only one real eigenvalue. Then the real eigenvalue of A is 2.5 0 15 25
edited
Jun 2
in
Linear Algebra
by
srestha
(
100
points)
gate2017ec1
matrixalgebra
eigenvalues
0
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0
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8
GATE20152GA8
A tiger is $50$ leaps of its own behind a tree. The tiger takes $5$ leaps per minute to the deer's $4.$ If the tiger and the deer cover $8$ meter and $5$ meter per leap respectively, what distance in meters will the tiger have to run before it catches the deer?
edited
Jun 1
in
Numerical Ability
by
Lakshman Patel RJIT
(
130
points)
gate2015ec2
0
votes
0
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9
GATE20152GA10
Lamenting the gradual sidelining of the arts in school curricula, a group of prominent artists wrote to the chief minister last year, asking him to allocate more funds to support art education in schools. However, no such increase has been announced in this year's budget. The artists ... arts education these nowadays (iii) and (iv) (i) and (ii) (i),(ii) and (iii) (i) and (ii)
edited
Jun 1
in
Verbal Ability
by
Lakshman Patel RJIT
(
130
points)
gate2015ec2
0
votes
0
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10
GATE20151GA4
Operators $\square,$ $\Diamond$ and $\rightarrow$ are defined by: $a\,\square\,b=\frac{a+b}{ab};\, a\,\Diamond, b=\frac{a+b}{ab};$ $a\,\rightarrow\, b=ab.$ Find the value of $(66\,\square\, 6)\rightarrow(66\,\Diamond, 6).$ $2$ $1$ $1$ $2$
edited
Jun 1
in
Numerical Ability
by
Lakshman Patel RJIT
(
130
points)
gate2015ec1
0
votes
0
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11
GATE20151GA5
If $\log_{x}{(\frac{5}{7})}=\frac{1}{3},$ then the value of $x$ is $343/125$ $25/343$ $25/49$ $49/25$
edited
Jun 1
in
Numerical Ability
by
Lakshman Patel RJIT
(
130
points)
gate2015ec1
0
votes
0
answers
12
GATE2019 EC: 55
In the circuit shown, $V_{1}=0$ and $V_{2}=V_{dd}.$ The other relevant parameters are mentioned in the figure. Ignoring the effect of channel length modulation and the body effect, the value of $I_{out}$ is _________ $mA$ (rounded off to $1$ decimal place.)
edited
May 31
in
Others
by
Pooja Khatri
(
100
points)
gate2019ec
numericalanswers
0
votes
0
answers
13
GATE2019 EC: 54
In the circuit shown, the threshold voltages of the pMOS $(V_{tp})$ and nMOS $(V_{tn})$ transistors are both equal to $1V.$ All the transistors have the same output resistance $r_{ds}$ of $6M\Omega.$ ... . Ignoring the effect of channel length modulation and body bias, the gain of the circuit is ______ (rounded off to $1$ decimal place.)
edited
May 31
in
Others
by
Pooja Khatri
(
100
points)
gate2019ec
numericalanswers
0
votes
0
answers
14
GATE2019 EC: 53
A CMOS inverter, designed to have a midpoint voltage $V_{1}$ equal to half of $V_{dd}.$ as shown in the figure, has the following parameters: $V_{dd}=3V$ $\mu_{n} C_{ox}=100 \mu A/V^{2}; V_{tn}=0.7V $ for nMOS $\mu_{p} C_{ox}=40 \mu A/V^{2}; V_{tp}=0.9V $ for pMOS The ration of $(\frac{W}{L})_{n}$ to $(\frac{W}{L})_{p}$ is equal to _______ (rounded off to 3 decimal places).
edited
May 31
in
Others
by
Pooja Khatri
(
100
points)
gate2019ec
numericalanswers
0
votes
0
answers
15
GATE2019 EC: 52
In the circuit shown. $V_{s}$ is a $10V$ square wave of period, $T=4 ms$ with $R=500 \Omega$ and $C= 10\mu F.$ The capacitor is initially uncharged at $t=0,$ and the diode is assumed to be ideal. The voltage across the capacitor $(V_{c})$ at $3ms$ is equal to _____ volts (rounded off to one decimal place)
edited
May 31
in
Others
by
Pooja Khatri
(
100
points)
gate2019ec
numericalanswers
0
votes
0
answers
16
GATE2019 EC: 51
A rectangular waveguide of width $w$ and height $h$ has cutoff frequencies for $TE_{10}$ and $TE_{11}$ modes in the ration $1:2$ . The aspect ratio $w/h$, rounded off to two decimal places , is ____________________.
edited
May 31
in
Others
by
Pooja Khatri
(
100
points)
gate2019ec
numericalanswers
0
votes
0
answers
17
GATE2019 EC: 50
Consider a longchannel MOSFET with a channel length $1\mu m$ and width $10 \mu m.$ The device parameters are acceptor concentration $N_{A}=5 \times 10^{16} cm^{3},$ electron mobility $\mu_{n}=800 cm^{2}/Vs,$ ... is _______ $mA$ (rounded off to two decimal places.). $[\varepsilon_{0}=8.854 \times 10^{14}F/cm, \varepsilon_{si=11.9}]$
edited
May 31
in
Others
by
Pooja Khatri
(
100
points)
gate2019ec
numericalanswers
0
votes
0
answers
18
GATE2019 EC: 49
In an ideal $pn$ junction with an ideality factor of $1$ at $T=300K,$ the magnitude of the reversebias voltage required to reach $75\%$ of its reverse saturation current, rounded off to $2$ decimal places, is ______ $mV.$ $[k=1.38 \times 10^{23} JK^{1}, h=6.625 \times 10^{34} Js, q=1.602 \times 10^{19}C]$
edited
May 31
in
Others
by
Pooja Khatri
(
100
points)
gate2019ec
numericalanswers
0
votes
0
answers
19
GATE2019 EC: 48
A Germanium sample of dimensions $1 cm \times 1 cm$ is illuminated with a $20mW,$ $600 nm$ laser light source as shown in the figure. The illuminated sample surface has a $100 nm$ of lossless Silicon dioxide layer that reflects onefourth of the incident ... the bandgap is $0.66eV,$ the thickness of the Germanium layer, rounded off to $3$ decimal places, is _____________ $\mu m.$
edited
May 31
in
Others
by
Pooja Khatri
(
100
points)
gate2019ec
numericalanswers
0
votes
0
answers
20
GATE2019 EC: 47
A random variable $X$ takes values $1$ and $+1$ with probabilities $0.2$ and $0.8$, respectively. It is transmitted across a channel which adds noise $N,$ so that the random variable at the channel output is $Y=X+N$. The noise $N$ is independent of ... so as to minimize the probability of error $Pr[X \neq X].$ The minimum probability of error, rounded off to $1$ decimal place, is
edited
May 30
in
Others
by
Pooja Khatri
(
100
points)
gate2019ec
numericalanswers
0
votes
0
answers
21
GATE2019 EC: 46
A voice signal $m(t)$ is in the frequency range $5kHz$ to $15kHz$. The signal is amplitudemodulated to generated an AM signal $f(t)=A(1+m(t))cos 2\pi f_{c}t,$ where $f_{c}=600 kHz.$ The AM signal $f(t)$ is to be digitized and ... required for the encoding. The rate, in Megabits per second (rounded off to $2$ decimal places), of the resulting stream of coded bits is ________ Mbps.
edited
May 30
in
Others
by
Pooja Khatri
(
100
points)
gate2019ec
numericalanswers
0
votes
0
answers
22
GATE2019 EC: 45
Let a random process $Y(t)$ be described as $Y(t)=h(t)*X(t)+Z(t),$ where $X(t)$ is a white noise process with power spectral density $S_{x}(f)=5$W/Hz. The filter $h(t)$ has a magnitude response given by $H(f)=0.5$ ... $Y(t),$ in watts, is equal to _________ W (rounded off to two decimal places).
edited
May 30
in
Others
by
Pooja Khatri
(
100
points)
gate2019ec
numericalanswers
0
votes
0
answers
23
GATE2019 EC: 44
Let $h[n]$ be a length$7$ discretetime finite impluse response filter, given by $h[0]=4, \quad h[1]=3,\quad h[2]=2,\quad h[3]=1,$ $\quad h[1]=3, \quad h[2]=2, \quad h[3]=1,$ and $h[n]$ is zero for $n\geq4.$ A length $3$ ... $g[n],$ respectively. For the filter that minimizes $E(h,g),$ the value of $10g[1]+g[1],$ rounded off to $2$ decimal places, is _____________.
edited
May 30
in
Others
by
Pooja Khatri
(
100
points)
gate2019ec
numericalanswers
0
votes
0
answers
24
GATE2019 EC: 43
Consider the homogenous ordinary differential equation $x^{2}\frac{d^{2}y}{dx^{2}}3x\frac{dy}{dx}+3y=0, \quad x>0$ with $y(x)$ as a general solution. Given that $y(1)=1 \quad and \quad y(2)=14$ the value of $y(1.5),$ rounded off to two decimal places, is_______________.
edited
May 30
in
Others
by
Pooja Khatri
(
100
points)
gate2019ec
numericalanswers
0
votes
0
answers
25
GATE2019 EC: 42
Consider a unity feedback system, as in the figure shown, with an integral compensator $\frac{K}{s}$ and openloop transfer function $G(s)=\frac{1}{s^{2}+3s+2}$ where $K>0.$ The positive value of $K$ for which there are exactly two poles of the unity feedback system on the $j\omega$ axis is equal to ________ (rounded off to two decimal places.)
edited
May 30
in
Others
by
Pooja Khatri
(
100
points)
gate2019ec
numericalanswers
0
votes
0
answers
26
GATE2019 EC: 41
The RC circuit shown below has a variable resistance $R(t)$ given by the following expression: $R(t)=R_{0}(1\frac{t}{T}) for \quad 0 \leq t < T$ where $R_{0}=1 \Omega,$ and $C=1F.$ We are also given that $T=3 R_{0}C$ ... time $t=0$ is $1 A,$ then the current $I(t)$, in amperes, at time $t=T/2$ is __________ (rounded off to $2$ decimal places).
edited
May 30
in
Others
by
Pooja Khatri
(
100
points)
gate2019ec
numericalanswers
0
votes
0
answers
27
GATE2019 EC: 40
In the circuits shown the threshold voltage of each nMOS transistor is $0.6V.$ Ignoring the effect of channel length modulation and body bias. the values of Vout1 and Vout2,respectively, in volts, are $1.8$ and $1.2$ $2.4$ and $2.4$ $1.8$ and $2.4$ $2.4$ and $1.2$
edited
May 30
in
Others
by
Pooja Khatri
(
100
points)
gate2019ec
0
votes
0
answers
28
GATE2019 EC: 39
The state transition diagram for the circuit shown is
edited
May 30
in
Others
by
Pooja Khatri
(
100
points)
gate2019ec
0
votes
0
answers
29
GATE2019 EC: 38
In the circuit shown, the breakdown voltage and the maximum current of the Zener diode are $20V$ and $60mA$, respectively. The values of $R_{1}$ and $R_{L}$ are $200 \Omega$ and $1k\Omega,$ respectively. What is the range of $V_{i}$ that will maintain the Zener diode in the ‘on’ state? $22 V$ to $34 V$ $24 V$ to $36 V$ $18 V$ to $24 V$ $20 V$ to $28 V$
edited
May 30
in
Others
by
Pooja Khatri
(
100
points)
gate2019ec
0
votes
0
answers
30
GATE2019 EC: 37
The dispersion equation of a waveguide, which relates the wavenumber $k$ to the frequency $\omega$ is $k(\omega)= (1/c) \sqrt{\omega^{2}\omega_{0}^{2}}$ where the speed of light $c= 2 \times 10^{8} m/s$ and $\omega_{0}$ is a constant . If the group velocity is $2 \times 10^{8} m/s$, ... is $1.5 \times 10^{8} m/s$ $2 \times 10^{8} m/s$ $3 \times 10^{8} m/s$ $4.5 \times 10^{8} m/s$
edited
May 30
in
Others
by
Pooja Khatri
(
100
points)
gate2019ec
0
votes
0
answers
31
GATE2019 EC: 36
Two identical copper wires $W1$ and $W2$ placed in parallel as shown in the figure, carry currents $I$ and $2I$, respectively, in opposite directions. If the two wires are separated by a distance of $4r$, then the magnitude of the magnetic field $\overrightarrow{B}$ between the wires at a distance $r$ ... $\frac{5\mu_{0}I}{6\pi r}$ $\frac{\mu_{0}^{2}I^{2}}{2\pi r^{2}}$
edited
May 30
in
Others
by
Pooja Khatri
(
100
points)
gate2019ec
0
votes
0
answers
32
GATE2019 EC: 35
The quantum efficiency $\eta$ and responsivity $R$ at wavelength $\lambda$ (in $\mu$m) in a pin photodetector are related by $R= \frac{\eta \times \lambda}{1.24}$ $R= \frac{\lambda}{\eta \times 1.24}$ $R= \frac{1.24 \times\lambda}{\eta}$ $R= \frac{1.24}{\eta \times \lambda}$
edited
May 30
in
Others
by
Pooja Khatri
(
100
points)
gate2019ec
0
votes
0
answers
33
GATE2019 EC: 34
A single bit, equally likely to be $0$ and $1$, is to be sent across an additive white Gaussian noise (AWGN) channel with power spectral density $N_{0}/2.$ Binary signaling with $0 \mapsto p(t),$ and $1 \mapsto q(t),$ is used for the transmission, along with an optimal ... $E$ would we obtain the same biterror probability $P_{b}$? $0$ $1$ $2$ $3$
edited
May 30
in
Others
by
Pooja Khatri
(
100
points)
gate2019ec
0
votes
0
answers
34
GATE2019 EC: 33
Let the statespace representation of an LTI system be $x(t)=A x(t)+B u(t), y(t)=Cx(t)+du(t)$ where $A,B,C$ are matrices, $d$ is a scalar, $u(t)$ is the input to the system, and $y(t)$ is its output. Let $B=[0\quad0\quad1]^{T}$ ... $A=\begin{bmatrix} 0&1&0\\ 0&0&1\\3&2&1 \\\end{bmatrix} \text{and} \quad C=\begin{bmatrix} 0&0&1 \end{bmatrix}$
edited
May 30
in
Others
by
Pooja Khatri
(
100
points)
gate2019ec
0
votes
0
answers
35
GATE2019 EC: 32
The block diagram of a system is illustrated in the figure shown, where $X(s)$ is the input and $Y(s)$ is the output. The transfer function $H(s)=\frac{Y(s)}{X(s)}$ is $H(s)=\frac{s^{2}+1}{s^{3}+s^{2}+s+1}$ $H(s)=\frac{s^{2}+1}{s^{3}+2s^{2}+s+1}$ $H(s)=\frac{s^{2}+1}{s^{2}+s+1}$ $H(s)=\frac{s^{2}+1}{2s^{2}+1}$
edited
May 30
in
Others
by
Pooja Khatri
(
100
points)
gate2019ec
0
votes
0
answers
36
GATE2019 EC: 31
Consider a casual secondorder system with the transfer function $G(s)=\frac{1}{1+2s+2s^{2}}$ with a unitstep $R(s)=\frac{1}{s}$ as an input. Let $C(s)$ be the corresponding output. The time taken by the system output $c(t)$ to reach $94\%$ of its steadystate value $\lim_{t\rightarrow \infty}c(t)$, rounded off to two decimal places, is $5.25$ $4.50$ $3.89$ $2.81$
edited
May 30
in
Others
by
Pooja Khatri
(
100
points)
gate2019ec
0
votes
0
answers
37
GATE2019 EC: 30
In the circuit shown, if $v(t)=2 sin(1000 t)$ volts, $R=1k\Omega$ and $C=1\mu F,$ then the steadystate current $i(t)$, milliamperes(mA). is $\text{sin(1000 t)+ cos(1000 t)}$ $\text{2 sin(1000 t) +2 cos(1000t)}$ $\text{3 sin(1000 t) + cos(1000t)}$ $\text{sin(1000 t) +3 cos(1000t)}$
edited
May 30
in
Others
by
Pooja Khatri
(
100
points)
gate2019ec
0
votes
0
answers
38
GATE2019 EC: 29
It is desired to find a threetap casual filter which gives zero signal as an output to an input of the form $x[n]= c_{1}exp(\frac{j\pi n}{2})+c_{2}(\frac{j\pi n}{2}),$ where $c_{1}$ and $c_{2}$ ... $y[n]=0$ for all $n$, when $x[n]$ is as given above ? $a=1,b=1$ $a=0,b=1$ $a=1,b=1$ $a=0,b=1$
edited
May 30
in
Others
by
Pooja Khatri
(
100
points)
gate2019ec
0
votes
0
answers
39
GATE2019 EC: 28
Consider a sixpoint decimationintime Fast Fourier Transform (FFT) algorithm, for which the signalflow graph corresponding to $X[1]$ is shown in the figure. Let $W_{6}=exp(\frac{j2\pi}{6}).$ In the figure, what should be the values of the coefficients $a_{1},a_{2},a_{3}$ in terms of $W_{6}$ so ... $a_{1}=1,a_{2}=W_{6},a_{3}=W_{6}^{2}$ $a_{1}=1,a_{2}=W_{6}^{2},a_{3}=W_{6}$
edited
May 30
in
Others
by
Pooja Khatri
(
100
points)
gate2019ec
0
votes
0
answers
40
GATE2019 EC: 27
Consider the line integral $\int_{c} (xdyydx)$ the integral being taken in a counterclockwise direction over the closed curve $C$ that forms the boundary of the region $R$ shown in the figure below. The region $R$ is the area enclosed by the union of a $2 \times 3$ rectangle and ... circle of radius $1$. The line integral evaluates to $6+ \frac{\pi}{2}$ $8+\pi$ $12+\pi$ $16+2\pi$
edited
May 30
in
Others
by
Pooja Khatri
(
100
points)
gate2019ec
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