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Recent questions tagged gateece-2022

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GATE ECE 2022 | GA | Question: 1
Mr. $\text{X}$ speaks __________ Japanese ____________ Chinese.neither /oreither / norneither / noralso / but
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5 5 votes
3 3 answers
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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 $\text{S},$ w...
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5 5 votes
4 answers 4 answers
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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 give...
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11 11 votes
2 2 answers
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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 “ho...
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4 4 votes
3 answers 3 answers
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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 ar...
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3 3 votes
4 answers 4 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 m...
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2 2 votes
2 2 answers
894
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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$...
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7 7 votes
3 3 answers
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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?$4$...
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5 5 votes
3 3 answers
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GATE ECE 2022 | GA | Question: 9
In a class of five students $\text{P, Q, R, S}$ and $\text{T},$ only one student is known to have copied in the exam. The disciplinary committee has investigated the situ...
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6 6 votes
2 answers 2 answers
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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 th...
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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}...
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0 0 votes
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685
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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{b...
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1 1 vote
0 0 answers
603
603 views
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}$$1.16 \times 1...
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0 0 votes
0 0 answers
689
689 views
GATE ECE 2022 | Question: 4
Consider the circuit shown in the figure. The current $I$ flowing through the $10 \; \Omega$ resistor is _____________.$1 \; \text{A}$$0 \; \text{A}$$0.1 \; \text{A}$$ – ...
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1 1 vote
0 0 answers
594
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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^{– |\om...
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0 0 votes
0 0 answers
692
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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 concentrat...
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0 0 votes
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791
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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}...
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0 0 votes
0 0 answers
737
737 views
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( \f...
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1 1 vote
1 1 answer
1.1k
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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...
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0 0 votes
0 0 answers
774
774 views
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...
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1 1 vote
0 0 answers
747
747 views
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 func...
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1 1 vote
0 0 answers
706
706 views
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...
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1 1 vote
0 0 answers
818
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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 f...
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1 1 vote
0 0 answers
639
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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...
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0 0 votes
0 0 answers
530
530 views
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...
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0 0 votes
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609
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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...
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2 2 votes
1 1 answer
1.1k
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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$$(x + y)(x + z...
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0 0 votes
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659
659 views
GATE ECE 2022 | Question: 18
Select the correct statement(s) regarding $\text{CMOS}$ implementation of $\text{NOT}$ gates.Noise Margin High $(NM_{H})$ is always equal to the Noise Margin Low $(NM_{L}...
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649
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GATE ECE 2022 | Question: 19
Let $H(X)$ denote the entropy of a discrete random variable $X$ taking $K$ possible distinct real values. Which of the following statements is/are necessarily true?$H(X) ...
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653
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GATE ECE 2022 | Question: 20
Consider the following wave equation,$$\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 s...
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