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Recent questions tagged gateece-2022
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1
GATE ECE 2022 | GA Question: 1
Mr. $\text{X}$ speaks __________ Japanese ____________ Chinese. neither /or either / nor neither / nor also / but
Arjun
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Verbal Aptitude
Feb 15, 2022
by
Arjun
6.0k
points
329
views
gateece-2022
verbal-aptitude
most-appropriate-word
1
vote
1
answer
2
GATE ECE 2022 | GA Question: 2
A sum of money is to be distributed among $\text{P, Q, R,}$ and $\text{S}$ in the proportion $5:2:4:3,$ respectively. If $\text{R}$ gets ₹ $ 1000$ more than $\text{S},$ what is the share of $\text{Q (in ₹)}?$ $500$ $1000$ $1500$ $2000$
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Quantitative Aptitude
Feb 15, 2022
by
Arjun
6.0k
points
196
views
gateece-2022
quantitative-aptitude
ratio-proportions
1
vote
1
answer
3
GATE ECE 2022 | GA Question: 3
A trapezium has vertices marked as $\text{P, Q, R}$ and $\text{S}$ (in that order anticlockwise). The side $\text{PQ}$ is parallel to side $\text{SR}.$ Further, it is given that, $\text{PQ = 11 cm, QR = 4 cm, RS = 6 cm}$ and $\text{SP = 3 cm.}$ What is the shortest distance between $\text{PQ}$ and $\text{SR (in cm)}?$ $1.80$ $2.40$ $4.20$ $5.76$
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Quantitative Aptitude
Feb 15, 2022
by
Arjun
6.0k
points
599
views
gateece-2022
quantitative-aptitude
geometry
2
votes
1
answer
4
GATE ECE 2022 | GA Question: 4
The figure shows a grid formed by a collection of unit squares. The unshaded unit square in the grid represents a hole. What is the maximum number of squares without a “hole in the interior” that can be formed within the $4 \times 4$ grid using the unit squares as building blocks? $15$ $20$ $21$ $26$
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Spatial Aptitude
Feb 15, 2022
by
Arjun
6.0k
points
468
views
gateece-2022
spatial-aptitude
patterns-in-two-dimensions
counting-figure
1
vote
1
answer
5
GATE ECE 2022 | GA Question: 5
An art gallery engages a security guard to ensure that the items displayed are protected. The diagram below represents the plan of the gallery where the boundary walls are opaque. The location the security guard posted is identified such that all the inner space (shaded region in the plan) ... $\text{Q}$ $\text{Q}$ $\text{Q}$ and $\text{S}$ $\text{R}$ and $\text{S}$
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Spatial Aptitude
Feb 15, 2022
by
Arjun
6.0k
points
266
views
gateece-2022
spatial-aptitude
patterns-in-two-dimensions
0
votes
0
answers
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GATE ECE 2022 | GA Question: 6
Mosquitoes pose a threat to human health. Controlling mosquitoes using chemicals may have undesired consequences. In Florida, authorities have used genetically modified mosquitoes to control the overall mosquito population. It remains to be ... may have undesired consequences but it is not clear if using genetically modified mosquitoes has any negative consequence
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Analytical Aptitude
Feb 15, 2022
by
Arjun
6.0k
points
186
views
gateece-2022
analytical-aptitude
logical-reasoning
passage-reading
1
vote
1
answer
7
GATE ECE 2022 | GA Question: 7
Consider the following inequalities. $2x – 1 > 7$ $2x – 9 < 1$ Which one of the following expressions below satisfies the above two inequalities? $x \leq – 4$ $ – 4 < x \leq 4$ $4 < x < 5$ $x \geq 5$
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Quantitative Aptitude
Feb 15, 2022
by
Arjun
6.0k
points
141
views
gateece-2022
quantitative-aptitude
inequality
1
vote
1
answer
8
GATE ECE 2022 | GA Question: 8
Four points $\text{P(0, 1), Q(0, – 3), R( – 2, – 1),}$ and $\text{S(2, – 1)}$ represent the vertices of a quadrilateral. What is the area enclosed by the quadrilateral? $4$ $4 \sqrt{2}$ $8$ $8 \sqrt{2}$
Arjun
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in
Quantitative Aptitude
Feb 15, 2022
by
Arjun
6.0k
points
165
views
gateece-2022
quantitative-aptitude
cartesian-coordinates
area
1
vote
1
answer
9
GATE ECE 2022 | GA Question: 9
In a class of five students $\text{P, Q, R, S}$ and $\text{T},$ ... given above, the person who has copied in the exam is $\text{R}$ $\text{P}$ $\text{Q}$ $\text{T}$
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Analytical Aptitude
Feb 15, 2022
by
Arjun
6.0k
points
420
views
gateece-2022
analytical-aptitude
logical-reasoning
statements-follow
2
votes
1
answer
10
GATE ECE 2022 | GA Question: 10
Consider the following square with the four corners and the center marked as $\text{P, Q, R, S}$ and $\text{T}$ respectively. Let $\text{X, Y}$ and $\text{Z}$ represent the following operations: $\text{X:}$ rotation of the square by $180$ ... The sequence of operations $(2)$ and $(3)$ are equivalent The sequence of operations $(1), (2)$ and $(3)$ are equivalent
Arjun
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Spatial Aptitude
Feb 15, 2022
by
Arjun
6.0k
points
477
views
gateece-2022
spatial-aptitude
rotation
0
votes
0
answers
11
GATE ECE 2022 | Question: 1
Consider the two-dimensional vector field $\overrightarrow{\rm F}(x, y) = x \overrightarrow{i} + y \overrightarrow{j},$ where $\overrightarrow{i}$ and $\overrightarrow{j}$ denote the unit vectors along the $x - $axis and the $y - $ ... $0$ $1$ $8 + 2 \pi$ $ - 1$
Arjun
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Others
Feb 15, 2022
by
Arjun
6.0k
points
212
views
gateece-2022
0
votes
0
answers
12
GATE ECE 2022 | Question: 2
Consider a system of linear equations $Ax = b,$ where $A =\begin{bmatrix} 1 & – \sqrt{2} & 3 \\ – 1 & \sqrt{2} & – 3 \end{bmatrix}, \quad b = \begin{bmatrix} 1 \\ 3 \end{bmatrix}.$ This system of equations admits ______________. a unique solution for $x$ infinitely many solutions for $x$ no solutions for $x$ exactly two solutions for $x$
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Others
Feb 15, 2022
by
Arjun
6.0k
points
128
views
gateece-2022
0
votes
0
answers
13
GATE ECE 2022 | Question: 3
The current $I$ in the circuit shown is ______________. $1.25 \times 10^{-3} \; \text{A}$ $0.75 \times 10^{-3} \; \text{A}$ $ – 0.5 \times 10^{-3} \; \text{A}$ $1.16 \times 10^{-3} \; \text{A}$
Arjun
asked
in
Others
Feb 15, 2022
by
Arjun
6.0k
points
91
views
gateece-2022
0
votes
0
answers
14
GATE ECE 2022 | Question: 4
Consider the circuit shown in the figure. The current $I$ flowing through the $10 \; \Omega$ resistor is _____________. $1 \; \text{A}$ $0 \; \text{A}$ $0.1 \; \text{A}$ $ – 0.1 \; \text{A}$
Arjun
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Others
Feb 15, 2022
by
Arjun
6.0k
points
95
views
gateece-2022
0
votes
0
answers
15
GATE ECE 2022 | Question: 5
The Fourier transform $X(j \omega)$ of the signal $x(t) = \frac{t}{(1+t^{2})^{2}}$ is ______________. $\frac{\pi}{2j} \omega e^{– |\omega|}$ $\frac{\pi}{2} \omega e^{– |\omega|}$ $\frac{\pi}{2j}e^{– |\omega|}$ $\frac{\pi}{2}e^{– |\omega|}$
Arjun
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Others
Feb 15, 2022
by
Arjun
6.0k
points
84
views
gateece-2022
0
votes
0
answers
16
GATE ECE 2022 | Question: 6
Consider a long rectangular bar of direct bandgap $p-$type semiconductor. The equilibrium hole density is $10^{17} \; \text{cm}^{-3}$ and the intrinsic carrier concentration is $10^{10} \; \text{cm}^{-3}.$ Electron and hole diffusion lengths are $2 \; \mu\text{m}$ ... $3.7 \times 10^{14} \; \text{cm}^{-3}$ $10^{3} \; \text{cm}^{-3}$
Arjun
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Others
Feb 15, 2022
by
Arjun
6.0k
points
84
views
gateece-2022
0
votes
0
answers
17
GATE ECE 2022 | Question: 7
In a non-degenerate bulk semiconductor with electron density $n = 10^{16} \; \text{cm}^{-3},$ the value of $E_{c} - E_{Fn} = 200 \; \text{meV},$ where $E_{c}$ and $E_{Fn}$ denote the bottom of the conduction band energy and electron Fermi level energy, ... given options, is ____________. $226 \; \text{meV}$ $174 \; \text{meV}$ $218 \; \text{meV}$ $182 \; \text{meV}$
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Others
Feb 15, 2022
by
Arjun
6.0k
points
144
views
gateece-2022
0
votes
0
answers
18
GATE ECE 2022 | Question: 8
Consider the $\text{CMOS}$ circuit shown in the figure (substrates are connected to their respective sources). The gate width $(W)$ to gate length $(L)$ ratios $\left( \frac{W}{L} \right)$ of the transistors are as shown. Both the transistors have the same gate oxide capacitance ... $2\; \text{V}$ less than $2 \; \text{V}$ equal to $2 \; \text{V}$
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Others
Feb 15, 2022
by
Arjun
6.0k
points
108
views
gateece-2022
0
votes
0
answers
19
GATE ECE 2022 | Question: 9
Consider the $ \text{2-bit}$ multiplexer $\text{(MUX)}$ shown in the figure. For $\text{OUTPUT}$ to be the $\text{XOR}$ of $\text{C}$ and $\text{D},$ the values for $A_{0}, A_{1}, A_{2},$ and $A_{3}$ are _______________. $A_{0} = 0, A_{1} = 0, A_{2} = 1, A_{3} = 1$ ... $A_{0} = 0, A_{1} = 1, A_{2} = 1, A_{3} = 0$ $A_{0} = 1, A_{1} = 1, A_{2} = 0, A_{3} = 0$
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Others
Feb 15, 2022
by
Arjun
6.0k
points
85
views
gateece-2022
0
votes
0
answers
20
GATE ECE 2022 | Question: 10
The ideal long channel $n\text{MOSFET}$ and $p\text{MOSFET}$ devices shown in the circuits have threshold voltages of $1 \; \text{V}$ and $ - 1 \; \text{V},$ respectively. The $\text{MOSFET}$ substrates are connected to their respective sources. Ignore leakage currents and assume that the ... $V_{1} = 4 \; \text{V}, \quad V_{2} = - 5 \; \text{V}$
Arjun
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Others
Feb 15, 2022
by
Arjun
6.0k
points
163
views
gateece-2022
0
votes
0
answers
21
GATE ECE 2022 | Question: 11
Consider a closed-loop control system with unity negative feedback and $KG(s)$ in the forward path. where the gain $K = 2.$ The complete Nyquist plot of the transfer function $G(s)$ is shown in the figure. Note that the Nyquist contour has been ... of the closed-loop transfer function in the closed right-half of the complex plane is ________________. $0$ $1$ $2$ $3$
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Others
Feb 15, 2022
by
Arjun
6.0k
points
103
views
gateece-2022
0
votes
0
answers
22
GATE ECE 2022 | Question: 12
The root-locus plot of a closed-loop system with unity negative feedback and transfer function $KG(s)$ in the forward path is shown in the figure. Note that $K$ is varied from $0$ to $\infty.$ Select the transfer function $G(s)$ that results in the root-locus plot of the closed-loop system as ... $G(s) = \frac{s - 1}{(s+1)^{6}}$ $G(s) = \frac{s + 1}{s^{6}+1}$
Arjun
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Others
Feb 15, 2022
by
Arjun
6.0k
points
104
views
gateece-2022
0
votes
0
answers
23
GATE ECE 2022 | Question: 13
The frequency response $H(f)$ of a linear time-invariant system has magnitude as shown in the figure. Statement $\text{I}:$ The system is necessarily a pure delay system for inputs which are bandlimited to $ - \alpha \leq f \leq \alpha.$ Statement ... $\text{II}$ is correct Statement $\text{I}$ is incorrect, Statement $\text{II}$ is incorrect
Arjun
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Others
Feb 15, 2022
by
Arjun
6.0k
points
93
views
gateece-2022
0
votes
0
answers
24
GATE ECE 2022 | Question: 14
In a circuit, there is a series connection of an ideal resistor and an ideal capacitor. The conduction current $\text{(in Amperes)}$ through the resistor is $2\sin (t+\pi/2).$ The displacement current $\text{(in Amperes)}$ through the capacitor is ______________. $2 \sin (t)$ $2 \sin (t + \pi)$ $2 \sin(t + \pi/2)$ $0$
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Others
Feb 15, 2022
by
Arjun
6.0k
points
104
views
gateece-2022
0
votes
0
answers
25
GATE ECE 2022 | Question: 15
Consider the following partial differential equation $\text{(PDE)}$ $a \frac{ \partial^{2} f(x ,y)}{\partial x^{2}} + b \frac{ \partial^{2} f(x ,y)}{\partial y^{2}} = f(x, y),$ where $a$ and $b$ are distinct positive real numbers. Select the combination(s) of values of the ... $\xi = 0, \eta = 0$ $\xi = \frac{1}{\sqrt{a}}, \eta = \frac{1}{\sqrt{b}}$
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Others
Feb 15, 2022
by
Arjun
6.0k
points
58
views
gateece-2022
multiple-selects
0
votes
0
answers
26
GATE ECE 2022 | Question: 16
An ideal $\text{OPAMP}$ circuit with a sinusoidal input is shown in the figure. The $3 \; \text{dB}$ frequency is the frequency at which the magnitude of the voltage gain decreases by $3 \; \text{dB}$ from the maximum value. Which of the options is/are correct? The circuit ... $1000 \; \text{rad/s}.$ The $3 \; \text{dB}$ frequency is $\frac{1000}{3} \; \text{rad/s}.$
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Others
Feb 15, 2022
by
Arjun
6.0k
points
77
views
gateece-2022
0
votes
0
answers
27
GATE ECE 2022 | Question: 17
Select the Boolean function(s) equivalent to $x+yz,$ where $x, y,$ and $z$ are Boolean variables, and $+$ denotes logical $\text{OR}$ operation. $x + z + xy$ $(x + y)(x + z)$ $x + xy + yz$ $x + xz + xy$
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Others
Feb 15, 2022
by
Arjun
6.0k
points
61
views
gateece-2022
multiple-selects
0
votes
0
answers
28
GATE ECE 2022 | Question: 18
Select the correct statement(s) regarding $\text{CMOS}$ implementation of $\text{NOT}$ gates. Noise Margin High $(NM_{H})$ is always equal to the Noise Margin Low $(NM_{L}),$ irrespective of the sizing of transistors. Dynamic power consumption ... $\text{NOT}$ gate.
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Others
Feb 15, 2022
by
Arjun
6.0k
points
74
views
gateece-2022
0
votes
0
answers
29
GATE ECE 2022 | Question: 19
Let $H(X)$ denote the entropy of a discrete random variable $X$ taking $K$ possible distinct real values. Which of the following statements is/are necessarily true? $H(X) \leq \log_{2} K \; \text{bits}$ $H(X) \leq H (2X)$ $H(X) \leq H (X^{2})$ $H(X) \leq H (2^{X})$
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Others
Feb 15, 2022
by
Arjun
6.0k
points
80
views
gateece-2022
multiple-selects
0
votes
0
answers
30
GATE ECE 2022 | Question: 20
Consider the following wave equation, $\frac{\partial^{2}f(x, t)}{\partial t^{2}} = 10000 \frac{\partial^{2}f(x, t)}{\partial x^{2}} $ Which of the given options is/are solution(s) to the given wave equation? $f(x, t) = e^{ - (x-100t)^{2}} + e^{ - (x+100t)^{2}}$ ... $f(x, t) = e^{ j 100 \pi (- 100x + t)} + e^{ j 100 \pi (100x + t)}$
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Others
Feb 15, 2022
by
Arjun
6.0k
points
65
views
gateece-2022
multiple-selects
0
votes
1
answer
31
GATE ECE 2022 | Question: 21
The bar graph shows the frequency of the number of wickets taken in a match by a bowler in her career. For example, in $17$ of her matches, the bowler has taken $5$ wickets each. The median number of wickets taken by the bowler in a match is _______________ (rounded off to one decimal place).
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Analytical Aptitude
Feb 15, 2022
by
Arjun
6.0k
points
307
views
gateece-2022
numerical-answers
bar-graph
0
votes
0
answers
32
GATE ECE 2022 | Question: 22
A simple closed path $C$ in the complex plane is shown in the figure. If $\oint_{c} \frac{2^{z}}{z^{2} – 1}dz = – i \pi A,$ where $i = \sqrt{-1},$ then the value of $A$ is _________ (rounded off to two decimal places).
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Others
Feb 15, 2022
by
Arjun
6.0k
points
99
views
gateece-2022
numerical-answers
0
votes
0
answers
33
GATE ECE 2022 | Question: 23
Let $x_{1} (t) = e^{-t}u(t)$ and $x_{2}(t) = u(t) – u(t – 2),$ where $u(\cdot)$ denotes the unit step function. If $y(t)$ denotes the convolution of $x_{1}(t)$ and $x_{2}(t),$ then $\displaystyle \lim_{t \rightarrow \infty} y(t) =$ ______________ (rounded off to one decimal place).
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Others
Feb 15, 2022
by
Arjun
6.0k
points
61
views
gateece-2022
numerical-answers
0
votes
0
answers
34
GATE ECE 2022 | Question: 24
An ideal $\text{MOS}$ capacitor (p-type semiconductor) is shown in the figure. The $\text{MOS}$ capacitor is under strong inversion with $V_{G} = 2 \; \text{V}.$ The corresponding inversion charge density $(Q_{IN})$ is $2.2 \; \mu \text{C /cm}^{2}.$ ... $Q_{IN}$ is ______________ $\mu \text{C/cm}^{2}$ (rounded off to one decimal place).
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Others
Feb 15, 2022
by
Arjun
6.0k
points
93
views
gateece-2022
numerical-answers
0
votes
0
answers
35
GATE ECE 2022 | Question: 25
A symbol stream contains alternate $\text{QPSK}$ and $\text{16-QAM}$ symbols. If symbols from this stream are transmitted at the rate of $1$ mega-symbols per second, the raw (uncoded) data rate is ____________ mega-bits per second (rounded off to one decimal place).
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Others
Feb 15, 2022
by
Arjun
6.0k
points
68
views
gateece-2022
numerical-answers
0
votes
0
answers
36
GATE ECE 2022 | Question: 26
The function $f(x) = 8 \log_{e} x – x^{2} + 3$ attains its minimum over the interval $[1, e]$ at $x = $____________. (Here $\log_{e}x$ is the natural logarithm of $x$.) $2$ $1$ $e$ $\frac{1+e}{2}$
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Others
Feb 15, 2022
by
Arjun
6.0k
points
41
views
gateece-2022
0
votes
0
answers
37
GATE ECE 2022 | Question: 27
Let $\alpha, \beta$ be two non-zero real numbers and $v_{1}, v_{2}$ be two non-zero real vectors of size $3 \times 1.$ Suppose that $v_{1}$ and $v_{2}$ satisfy $v_{1}^{T} v_{2} = 0, v_{1}^{T} v_{1} = 1,$ and $v_{2}^{T} v_{2} = 1.$ Let $A$ be ... $0, \alpha+\beta, \alpha-\beta$ $0, \frac{\alpha+\beta}{2}, \sqrt{\alpha \beta}$ $0, 0, \sqrt{\alpha^{2} + \beta^{2}}$
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Feb 15, 2022
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6.0k
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48
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gateece-2022
0
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0
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38
GATE ECE 2022 | Question: 28
For the circuit shown, the locus of the impedance $Z (j \omega)$ is plotted as $\omega$ increases from zero to infinity. The values of $R_{1}$ and $R_{2}$ are: $R_{1} = 2 \; \text{k} \Omega, R_{2} = 3 \; \text{k} \Omega$ ... $R_{1} = 2 \; \text{k} \Omega, R_{2} = 5 \; \text{k} \Omega$
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Others
Feb 15, 2022
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Arjun
6.0k
points
72
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gateece-2022
0
votes
0
answers
39
GATE ECE 2022 | Question: 29
Consider the circuit shown in the figure with input $V(t)$ in volts. The sinusoidal steady state current $I(t)$ flowing through the circuit is shown graphically (where $t$ is in seconds). The circuit element $Z$ can be ____________. a capacitor of $1 \; \text{F}$ an inductor of $1 \; \text{H}$ a capacitor of $\sqrt{3} \; \text{F}$ an inductor of $\sqrt{3} \; \text{H}$
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Others
Feb 15, 2022
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Arjun
6.0k
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55
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gateece-2022
0
votes
0
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40
GATE ECE 2022 | Question: 30
Consider an ideal long channel $n \text{MOSFET}$ (enhancement-mode) with gate length $10 \; \mu \text{m}$ and width $100 \; \mu \text{m}.$ The product of electron mobility $(\mu_{n})$ and oxide capacitance per unit area $(C_{\text{ox}})$ ... -to-source current is _____________. $40 \; \text{mA}$ $20 \; \text{mA}$ $15 \; \text{mA}$ $5 \; \text{mA}$
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Others
Feb 15, 2022
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Arjun
6.0k
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50
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gateece-2022
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