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Recent questions tagged gateece-2023
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GATE ECE 2023 | GA Question: 1
“I cannot support this proposal. My _________ will not permit it.” conscious consensus conscience consent
“I cannot support this proposal. My _________ will not permit it.”consciousconsensusconscienceconsent
admin
46.4k
points
456
views
admin
asked
May 20, 2023
Verbal Aptitude
gateece-2023
verbal-aptitude
english-grammar
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2
votes
1
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GATE ECE 2023 | GA Question: 2
Courts : _________: : Parliament : Legislature (By word meaning) Judiciary Executive Governmental Legal
Courts : _________: : Parliament : Legislature(By word meaning)JudiciaryExecutiveGovernmentalLegal
admin
46.4k
points
436
views
admin
asked
May 20, 2023
Verbal Aptitude
gateece-2023
verbal-aptitude
word-pairs
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2
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1
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GATE ECE 2023 | GA Question: 3
What is the smallest number with distinct digits whose digits add up to $45?$ $123555789$ $123457869$ $123456789$ $99999$
What is the smallest number with distinct digits whose digits add up to $45?$$123555789$$123457869$$123456789$$99999$
admin
46.4k
points
410
views
admin
asked
May 20, 2023
Quantitative Aptitude
gateece-2023
quantitative-aptitude
number-theory
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GATE ECE 2023 | GA Question: 4
In a class of $100$ students, there are $30$ students who neither like romantic movies nor comedy movies, the number of students who like romantic movies is twice the number of students who like comedy movies, and the number of students who like both romantic movies and comedy movies is $20$. How many students in the class like romantic movies? $40$ $20$ $60$ $30$
In a class of $100$ students,there are $30$ students who neither like romantic movies nor comedy movies,the number of students who like romantic movies is twice the numbe...
admin
46.4k
points
724
views
admin
asked
May 20, 2023
Quantitative Aptitude
gateece-2023
quantitative-aptitude
venn-diagrams
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GATE ECE 2023 | GA Question: 5
How many rectangles are present in the given figure? $8$ $9$ $10$ $12$
How many rectangles are present in the given figure? $8$$9$$10$$12$
admin
46.4k
points
566
views
admin
asked
May 20, 2023
Spatial Aptitude
gateece-2023
spatial-aptitude
counting-figure
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2
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GATE ECE 2023 | GA Question: 6
Forestland is a planet inhabited by different kinds of creatures. Among other creatures, it is populated by animals all of whom are ferocious. There are also creatures that have claws and some that do not. All creatures that have ... creatures with claws are non-ferocious. Some non-ferocious creatures have claws. Some ferocious creatures are creatures with claws.
Forestland is a planet inhabited by different kinds of creatures. Among other creatures, it is populated by animals all of whom are ferocious. There are also creatures th...
admin
46.4k
points
1.1k
views
admin
asked
May 20, 2023
Analytical Aptitude
gateece-2023
analytical-aptitude
logical-reasoning
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2
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GATE ECE 2023 | GA Question: 7
Which one of the following options represents the given graph? $f(x)=x^{2} 2^{-|x|}$ $f(x)=x 2^{-|x|}$ $f(x)=|x| 2^{-x}$ $f(x)=x 2^{-x}$
Which one of the following options represents the given graph? $f(x)=x^{2} 2^{-|x|}$$f(x)=x 2^{-|x|}$$f(x)=|x| 2^{-x}$$f(x)=x 2^{-x}$
admin
46.4k
points
661
views
admin
asked
May 20, 2023
Quantitative Aptitude
gateece-2023
quantitative-aptitude
functions
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2
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1
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GATE ECE 2023 | GA Question: 8
Which one of the following options can be inferred from the given passage alone? When I was a kid, I was partial to stories about other worlds and interplanetary travel. I used to imagine that I could just gaze off into space and be ... The child in the passage read stories about interplanetary travel only in parts. It teaches us that stories are good for children.
Which one of the following options can be inferred from the given passage alone?When I was a kid, I was partial to stories about other worlds and interplanetary travel. I...
admin
46.4k
points
963
views
admin
asked
May 20, 2023
Verbal Aptitude
gateece-2023
verbal-aptitude
passage-reading
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3
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GATE ECE 2023 | GA Question: 9
Out of $1000$ individuals in a town, $100$ unidentified individuals are covid positive. Due to lack of adequate covid-testing kits, the health authorities of the town devised a strategy to identify these covid-positive individuals. The strategy is to: ... identify all the $100$ covid positive individuals irrespective of how they are grouped. $700$ $600$ $800$ $1000$
Out of $1000$ individuals in a town, $100$ unidentified individuals are covid positive. Due to lack of adequate covid-testing kits, the health authorities of the town dev...
admin
46.4k
points
1.8k
views
admin
asked
May 20, 2023
Analytical Aptitude
gateece-2023
analytical-aptitude
logical-reasoning
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GATE ECE 2023 | GA Question: 10
A $100 \mathrm{~cm} \times 32 \mathrm{~cm}$ rectangular sheet is folded $5$ times. Each time the sheet is folded, the long edge aligns with its opposite side. Eventually, the folded sheet is a rectangle of dimensions $100 \mathrm{~cm} \times 1 \mathrm{~cm}$. The total number of creases visible when the sheet is unfolded is ___________. $32$ $5$ $31$ $63$
A $100 \mathrm{~cm} \times 32 \mathrm{~cm}$ rectangular sheet is folded $5$ times. Each time the sheet is folded, the long edge aligns with its opposite side. Eventually,...
admin
46.4k
points
597
views
admin
asked
May 20, 2023
Quantitative Aptitude
gateece-2023
quantitative-aptitude
mensuration
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GATE ECE 2023 | Question: 1
Let $v_1=\left[\begin{array}{l}1 \\ 2 \\ 0\end{array}\right]$ and $v_2=\left[\begin{array}{l}2 \\ 1 \\ 3\end{array}\right]$ be two vectors. The value of the coefficient $\alpha$ in the expression $v_1=\alpha v_2+e$, which minimizes the length of the error vector $e$, is $\frac{7}{2}$ $\frac{-2}{7}$ $\frac{2}{7}$ $\frac{-7}{2}$
Let $v_1=\left[\begin{array}{l}1 \\ 2 \\ 0\end{array}\right]$ and $v_2=\left[\begin{array}{l}2 \\ 1 \\ 3\end{array}\right]$ be two vectors. The value of the coefficient $...
admin
46.4k
points
969
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admin
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May 20, 2023
Others
gateece-2023
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GATE ECE 2023 | Question: 2
The rate of increase, of a scalar field $f(x, y, z)=x y z$, in the direction $v=(2,1,2)$ at a point $(0,2,1)$ is $\frac{2}{3}$ $\frac{4}{3}$ $2$ $4$
The rate of increase, of a scalar field $f(x, y, z)=x y z$, in the direction $v=(2,1,2)$ at a point $(0,2,1)$ is$\frac{2}{3}$$\frac{4}{3}$$2$$4$
admin
46.4k
points
434
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admin
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May 20, 2023
Others
gateece-2023
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GATE ECE 2023 | Question: 3
Let $w^4=16 j$. Which of the following cannot be a value of $w$ ? $2 e^{\frac{j 2 \pi}{8}}$ $2 e^{\frac{j \pi}{8}}$ $2 e^{\frac{j5 \pi}{8}}$ $2 e^{\frac{j9 \pi}{8}}$
Let $w^4=16 j$. Which of the following cannot be a value of $w$ ?$2 e^{\frac{j 2 \pi}{8}}$$2 e^{\frac{j \pi}{8}}$$2 e^{\frac{j5 \pi}{8}}$$2 e^{\frac{j9 \pi}{8}}$
admin
46.4k
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1.0k
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admin
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May 20, 2023
Others
gateece-2023
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GATE ECE 2023 | Question: 4
The value of the contour integral, $\oint_C\left(\frac{z+2}{z^2+2 z+2}\right) d z$, where the contour $\mathrm{C}$ is $\left\{z:\left|z+1-\frac{3}{2} j\right|=1\right\}$, taken in the counter clockwise direction, is $-\pi(1+j)$ $\pi(1+j)$ $\pi(1-j)$ $-\pi(1-j)$
The value of the contour integral, $\oint_C\left(\frac{z+2}{z^2+2 z+2}\right) d z$, where the contour $\mathrm{C}$ is $\left\{z:\left|z+1-\frac{3}{2} j\right|=1\right\}$,...
admin
46.4k
points
384
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admin
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May 20, 2023
Others
gateece-2023
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GATE ECE 2023 | Question: 5
Let the sets of eigenvalues and eigenvectors of a matrix $B$ be $\left\{\lambda_k \mid 1 \leq k \leq n\right\}$ and $\left\{v_k \mid 1 \leq k \leq n\right\}$, respectively. For any invertible matrix $P$, the sets of eigenvalues and eigenvectors of the matrix $A$, where ... $\left\{P^{-1} v_k \mid 1 \leq k \leq n\right\}$
Let the sets of eigenvalues and eigenvectors of a matrix $B$ be $\left\{\lambda_k \mid 1 \leq k \leq n\right\}$ and $\left\{v_k \mid 1 \leq k \leq n\right\}$, respectivel...
admin
46.4k
points
367
views
admin
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May 20, 2023
Others
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GATE ECE 2023 | Question: 6
In a semiconductor, if the Fermi energy level lies in the conduction band, then the semiconductor is known as degenerate $\text{n}$-type. degenerate $\text{p}$-type. non-degenerate $\text{n}$-type. non-degenerate $\text{p}$-type.
In a semiconductor, if the Fermi energy level lies in the conduction band, then the semiconductor is known asdegenerate $\text{n}$-type.degenerate $\text{p}$-type.non-deg...
admin
46.4k
points
627
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admin
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May 20, 2023
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gateece-2023
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GATE ECE 2023 | Question: 7
For an intrinsic semiconductor at temperature $\text{T}=0 \; \text{K}$, which of the following statement is true? All energy states in the valence band are filled with electrons and all energy states in the conduction band are empty ... the valence and conduction band are filled with holes. All energy states in the valence and conduction band are filled with electrons.
For an intrinsic semiconductor at temperature $\text{T}=0 \; \text{K}$, which of the following statement is true?All energy states in the valence band are filled with ele...
admin
46.4k
points
332
views
admin
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May 20, 2023
Others
gateece-2023
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GATE ECE 2023 | Question: 8
A series $\text{RLC}$ circuit has a quality factor $\text{Q}$ of $1000$ at a center frequency of $10^{6} \; \mathrm{rad} / \mathrm{s}$. The possible values of $\text{R, L}$ and $\text{C}$ are $R=1 \; \Omega, L=1 \; \mu H$ and $C=1 \; \mu F$ ... $C=1 \; \mu F$ $R=0.001 \; \Omega, L=1 \; \mu H$ and $C=1 \; \mu F$
A series $\text{RLC}$ circuit has a quality factor $\text{Q}$ of $1000$ at a center frequency of $10^{6} \; \mathrm{rad} / \mathrm{s}$. The possible values of $\text{R,...
admin
46.4k
points
253
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admin
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May 20, 2023
Others
gateece-2023
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GATE ECE 2023 | Question: 9
For a $\text{MOS}$ capacitor, $\text{V}_{\mathrm{fb}}$ and $\text{V}_{\mathrm{t}}$ are the flat-band voltage and the threshold voltage, respectively. The variation of the depletion width $\left(\mathrm{W}_{\mathrm{dep}}\right)$ for varying gate voltage $\left(\text{V}_g\right)$ is best represented by
For a $\text{MOS}$ capacitor, $\text{V}_{\mathrm{fb}}$ and $\text{V}_{\mathrm{t}}$ are the flat-band voltage and the threshold voltage, respectively. The variation of the...
admin
46.4k
points
303
views
admin
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May 20, 2023
Others
gateece-2023
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GATE ECE 2023 | Question: 10
Consider a narrow band signal, propagating in a lossless dielectric medium $\left(\varepsilon_{r}=4, \mu_{r}=1\right)$, with phase velocity $v_{p}$ and group velocity $v_{g}$. Which of the following statement is true? ($c$ ... $v_{p} > c, v_{g} < c$ $v_{p} < c, v_{g} < c$
Consider a narrow band signal, propagating in a lossless dielectric medium $\left(\varepsilon_{r}=4, \mu_{r}=1\right)$, with phase velocity $v_{p}$ and group velocity $v_...
admin
46.4k
points
702
views
admin
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May 20, 2023
Others
gateece-2023
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GATE ECE 2023 | Question: 11
In the circuit shown below, $\text{V}_1$ and $\text{V}_2$ are bias voltages. Based on input and output impedances, the circuit behaves as a voltage controlled voltage source. voltage controlled current source. current controlled voltage source. current controlled current source.
In the circuit shown below, $\text{V}_1$ and $\text{V}_2$ are bias voltages. Based on input and output impedances, the circuit behaves as avoltage controlled voltage sour...
admin
46.4k
points
419
views
admin
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May 20, 2023
Others
gateece-2023
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GATE ECE 2023 | Question: 12
A cascade of common-source amplifiers in a unity gain feedback configuration oscillates when the closed loop gain is less than $1$ and the phase shift is less than $180^{\circ}$. the closed loop gain is greater than $1$ ... $180^{\circ}$. the closed loop gain is greater than $1$ and the phase shift is greater than $180^{\circ}$.
A cascade of common-source amplifiers in a unity gain feedback configuration oscillates whenthe closed loop gain is less than $1$ and the phase shift is less than $180^{\...
admin
46.4k
points
671
views
admin
asked
May 20, 2023
Others
gateece-2023
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1
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GATE ECE 2023 | Question: 13
In the circuit shown below, $\mathrm{P}$ and $\mathrm{Q}$ are the inputs. The logical function realized by the circuit shown below is $\mathrm{Y}=\mathrm{PQ}$ $\mathrm{Y}=\mathrm{P}+\mathrm{Q}$ $\mathrm{Y}=\overline{\mathrm{PQ}}$ $\mathrm{Y}=\overline{\mathrm{P}+\mathrm{Q}}$
In the circuit shown below, $\mathrm{P}$ and $\mathrm{Q}$ are the inputs. The logical function realized by the circuit shown below is$\mathrm{Y}=\mathrm{PQ}$$\mathrm{Y}=\...
admin
46.4k
points
1.6k
views
admin
asked
May 20, 2023
Others
gateece-2023
multiplexers
digital-circuits
combinational-circuits
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GATE ECE 2023 | Question: 14
The synchronous sequential circuit shown below works at a clock frequency $1 \; \mathrm{GHz}$. The throughput, in $\text{Mbits/s,}$ and the latency, in $\text{ns,}$ respectively, are $1000,3$ $333.33,1$ $2000,3$ $333.33,3$
The synchronous sequential circuit shown below works at a clock frequency $1 \; \mathrm{GHz}$. The throughput, in $\text{Mbits/s,}$ and the latency, in $\text{ns,}$ respe...
admin
46.4k
points
332
views
admin
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May 20, 2023
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GATE ECE 2023 | Question: 15
The open loop transfer function of a unity negative feedback system is $G(s)=\frac{k}{s\left(1+s T_1\right)\left(1+s T_2\right)}$, where $k, T_1$ and $T_2$ are positive constants. The phase cross-over frequency, in $\text{rad/s,}$ is $\frac{1}{\sqrt{T_1 T_2}}$ $\frac{1}{T_1 T_2}$ $\frac{1}{T_1 \sqrt{T_2}}$ $\frac{1}{T_2 \sqrt{T_1}}$
The open loop transfer function of a unity negative feedback system is $G(s)=\frac{k}{s\left(1+s T_1\right)\left(1+s T_2\right)}$, where $k, T_1$ and $T_2$ are positive c...
admin
46.4k
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236
views
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May 20, 2023
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GATE ECE 2023 | Question: 16
Consider a system with input $x(t)$ and output $y(t)=x\left(e^{t}\right)$. The system is Causal and time invariant. Non-causal and time varying. Causal and time varying. Non-causal and time invariant.
Consider a system with input $x(t)$ and output $y(t)=x\left(e^{t}\right)$. The system isCausal and time invariant.Non-causal and time varying.Causal and time varying.Non-...
admin
46.4k
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296
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May 20, 2023
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GATE ECE 2023 | Question: 17
Let $m(t)$ be a strictly band-limited signal with bandwidth $B$ and energy $E$. Assuming $\omega_{0}=10 B$, the energy in the $m(t) \cos \omega_{0} t$ is $\frac{E}{4}$ $\frac{E}{2}$ $E$ $2E$
Let $m(t)$ be a strictly band-limited signal with bandwidth $B$ and energy $E$. Assuming $\omega_{0}=10 B$, the energy in the $m(t) \cos \omega_{0} t$ is$\frac{E}{4}$$\f...
admin
46.4k
points
260
views
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May 20, 2023
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GATE ECE 2023 | Question: 18
The Fourier transform $X(\omega)$ of $x(t)=e^{-t^{2}}$ is Note: $\int_{-\infty}^{\infty} e^{-y^{2}} d y=\sqrt{\pi}$ $\sqrt{\pi} e^{\frac{\omega^{2}}{2}}$ $\frac{e^{-\frac{\omega^{2}}{4}}}{2 \sqrt{\pi}}$ $\sqrt{\pi} e^{-\frac{\omega^{2}}{4}}$ $\sqrt{\pi} e^{-\frac{\omega^{2}}{2}}$
The Fourier transform $X(\omega)$ of $x(t)=e^{-t^{2}}$ isNote: $\int_{-\infty}^{\infty} e^{-y^{2}} d y=\sqrt{\pi}$$\sqrt{\pi} e^{\frac{\omega^{2}}{2}}$$\frac{e^{-\frac{\o...
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46.4k
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247
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admin
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May 20, 2023
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GATE ECE 2023 | Question: 19
In the table shown below, match the signal type with its spectral characteristics. Signal type Spectral characteristics (i) Continuous, aperiodic (a) Continuous, aperiodic (ii) Continuous, periodic (b) Continuous, periodic (iii) Discrete, aperiodic (c) Discrete, aperiodic (iv) ...
In the table shown below, match the signal type with its spectral characteristics. Signal type Spectral characteristics (i) Continuous, aperiodic(a) Continuous, aperiod...
admin
46.4k
points
227
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admin
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May 20, 2023
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GATE ECE 2023 | Question: 20
For a real signal, which of the following is/are valid power spectral density/densities? $\text{S}_X(\omega)=\frac{2}{9+\omega^2}$ $\text{S}_X(\omega)=e^{-\omega^2} \cos ^2 \omega$
For a real signal, which of the following is/are valid power spectral density/densities?$\text{S}_X(\omega)=\frac{2}{9+\omega^2}$$\text{S}_X(\omega)=e^{-\omega^2} \cos ^2...
admin
46.4k
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247
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May 20, 2023
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GATE ECE 2023 | Question: 21
The signal-to-noise ratio $\mathrm{SNR}$ of an $\mathrm{ADC}$ with a full-scale sinusoidal input is given to be $61.96 \mathrm{~dB}$. The resolution of the $\mathrm{ADC}$ is_____________bits (rounded off to the nearest integer).
The signal-to-noise ratio $\mathrm{SNR}$ of an $\mathrm{ADC}$ with a full-scale sinusoidal input is given to be $61.96 \mathrm{~dB}$. The resolution of the $\mathrm{ADC}$...
admin
46.4k
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369
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May 20, 2023
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GATE ECE 2023 | Question: 22
In the circuit shown below, the current $i$ flowing through $200 \; \Omega$ resistor is___________ $\mathrm{mA}$ (rounded off to two decimal places).
In the circuit shown below, the current $i$ flowing through $200 \; \Omega$ resistor is___________ $\mathrm{mA}$ (rounded off to two decimal places).
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46.4k
points
214
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May 20, 2023
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GATE ECE 2023 | Question: 23
For the two port network shown below, the $[\mathrm{Y}] – $parameters is given as $[Y]=\frac{1}{100}\left[\begin{array}{cc}2 & -1 \\ -1 & 4 / 3\end{array}\right] S$ The value of load impedance $\mathrm{Z}_{\mathrm{L},}$ in $\Omega$, for maximum power transfer will be ____________ (rounded off to the nearest integer).
For the two port network shown below, the $[\mathrm{Y}] – $parameters is given as$$[Y]=\frac{1}{100}\left[\begin{array}{cc}2 & -1 \\ -1 & 4 / 3\end{array}\right] S$$The...
admin
46.4k
points
544
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May 20, 2023
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GATE ECE 2023 | Question: 24
For the circuit shown below, the propagation delay of each $ \mathrm{NAND}$ gate is $1 \mathrm{~ns}$. The critical path delay, in $\text{ns,}$ is______________(rounded off to the nearest integer).
For the circuit shown below, the propagation delay of each $ \mathrm{NAND}$ gate is $1 \mathrm{~ns}$. The critical path delay, in $\text{ns,}$ is______________(rounded of...
admin
46.4k
points
462
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May 20, 2023
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GATE ECE 2023 | Question: 25
In the circuit shown below, switch $\mathrm{S}$ was closed for a long time. If the switch is opened at $t=0$, the maximum magnitude of the voltage $\mathrm{V}_{\mathrm{R}}, \text{in volts,}$ is_____________ (rounded off to the nearest integer).
In the circuit shown below, switch $\mathrm{S}$ was closed for a long time. If the switch isopened at $t=0$, the maximum magnitude of the voltage $\mathrm{V}_{\mathrm{R}}...
admin
46.4k
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139
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May 20, 2023
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GATE ECE 2023 | Question: 26
A random variable $\mathrm{X}$, distributed normally as $\mathrm{N(0,1)}$ undergoes the transformation $\mathrm{Y}=\mathrm{h}(\mathrm{X})$, given in the figure. The form of the probability density function of $\mathrm{Y}$ is (In the options given below, $a, b, c$ are non-zero ... $a \delta(y+2)+b \delta(y)+c \delta(y-2)+g(y)$ $a \delta(y+2)+b \delta(y-2)+g(y)$
A random variable $\mathrm{X}$, distributed normally as $\mathrm{N(0,1)}$ undergoes the transformation$\mathrm{Y}=\mathrm{h}(\mathrm{X})$, given in the figure. The form o...
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46.4k
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289
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May 20, 2023
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GATE ECE 2023 | Question: 27
The value of the line integral $\int_{P}^{Q}\left(z^{2} d x+3 y^{2} d y+2 x z \; d z\right)$ along the straight line joining the points $P(1,1,2)$ and $Q(2,3,1)$ is $20$ $24$ $29$ $-5$
The value of the line integral $\int_{P}^{Q}\left(z^{2} d x+3 y^{2} d y+2 x z \; d z\right)$ along the straight line joining the points $P(1,1,2)$ and $Q(2,3,1)$ is$20$$2...
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46.4k
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250
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May 20, 2023
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GATE ECE 2023 | Question: 28
Let $\boldsymbol{x}$ be an $n \times 1$ real column vector with length $l=\sqrt{\boldsymbol{x}^{T} \boldsymbol{x}}$ The trace of the matrix $P=\boldsymbol{x} \boldsymbol{x}^{T}$ is $l^{2}$ $\frac{l^{2}}{4}$ $l$ $\frac{l^{2}}{2}$
Let $\boldsymbol{x}$ be an $n \times 1$ real column vector with length $l=\sqrt{\boldsymbol{x}^{T} \boldsymbol{x}}$ The trace of the matrix $P=\boldsymbol{x} \boldsymbol{...
admin
46.4k
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507
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May 20, 2023
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GATE ECE 2023 | Question: 29
The $\frac{V_{\text {OUT }}}{V_{\text {IN }}}$ of the circuit shown below is $-\frac{\mathrm{R}_4}{\mathrm{R}_3}$ $\frac{\mathrm{R}_4}{\mathrm{R}_3}$ $1+\frac{\text{R}_4}{\text{R}_3}$ $1-\frac{\mathrm{R}_4}{\mathrm{R}_3}$
The $\frac{V_{\text {OUT }}}{V_{\text {IN }}}$ of the circuit shown below is$-\frac{\mathrm{R}_4}{\mathrm{R}_3}$$\frac{\mathrm{R}_4}{\mathrm{R}_3}$$1+\frac{\text{R}_4}{\t...
admin
46.4k
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176
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admin
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May 20, 2023
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GATE ECE 2023 | Question: 30
In the circuit shown below, $D_1$ and $D_2$ are silicon diodes with cut-in voltage of $0.7 \mathrm{~V}$. $\mathrm{V}_{\mathrm{IN}}$ and $\mathrm{V}_{\mathrm{OUT}}$ are input and output voltages in volts. The transfer characteristic is
In the circuit shown below, $D_1$ and $D_2$ are silicon diodes with cut-in voltage of $0.7 \mathrm{~V}$. $\mathrm{V}_{\mathrm{IN}}$ and $\mathrm{V}_{\mathrm{OUT}}$ are in...
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