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1
GATE ECE 2024 | GA Question: 1
If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words [ charm $\rightarrow$ enamor $\rightarrow$ bewitch] is analogous to [bored $\rightarrow \_\_\_\_\_\_ \longrightarrow$ weary] Which one of the given options is appropriate to fill the blank? jaded baffled dead worsted
If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words[ charm $\rightarrow$ enamor $\rightarrow$ bewitch] is analogous to [bor...
1.1k
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Feb 16
Others
gateece-2024
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GATE ECE 2024 | GA Question: 2
$\text{P, Q, R, S}$, and $\text{T}$ have launched a new startup. Two of them are siblings. The office of the startup has just three rooms. All of them agree that the siblings should not share the same room. If $\text{S}$ and $\text{Q}$ are single children ... and $\mathrm{T}$ $\mathrm{P}$ and $\mathrm{S}$ $\mathrm{T}$ and $\mathrm{Q}$ $\mathrm{T}$ and $\mathrm{R}$
$\text{P, Q, R, S}$, and $\text{T}$ have launched a new startup. Two of them are siblings. The office of the startup has just three rooms. All of them agree t...
663
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Feb 16
Others
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3
GATE ECE 2024 | GA Question: 3
Five years ago, the ratio of Aman's age to his father's age was $1: 4$, and five years from now, the ratio will be $2:5$. What was his father's age when Aman was born? $28$ years $30$ years $35$ years $32$ years
Five years ago, the ratio of Aman's age to his father's age was $1: 4$, and five years from now, the ratio will be $2:5$. What was his father's age when Aman ...
527
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Feb 16
Others
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4
GATE ECE 2024 | GA Question: 4
For a real number $x>1$, \[ \frac{1}{\log _{2} x}+\frac{1}{\log _{3} x}+\frac{1}{\log _{4} x}=1 \] The value of $x$ is $4$ $12$ $24$ $36$
For a real number $x>1$,\[\frac{1}{\log _{2} x}+\frac{1}{\log _{3} x}+\frac{1}{\log _{4} x}=1\]The value of $x$ is$4$$12$$24$$36$
483
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asked
Feb 16
Others
gateece-2024
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2
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5
GATE ECE 2024 | GA Question: 5
The greatest prime factor of $\left(3^{199}-3^{196}\right)$ is $13$ $17$ $3$ $11$
The greatest prime factor of $\left(3^{199}-3^{196}\right)$ is$13$$17$$3$$11$
654
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Feb 16
Others
gateece-2024
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6
GATE ECE 2024 | GA Question: 6
Sequence the following sentences $(\mathrm{P}, \mathrm{Q}, \mathrm{R}, \mathrm{S})$ in a coherent passage: $\text{P}$: Shifu's student exclaimed, "Why do you run since the bull is an illusion?" $\text{Q}$: Shifu said, "Surely my ... a bull gave him chase, Shifu began running for his life. $\text{SPRQ}$ $\text{SRPQ}$ $\text{RSPQ}$ $\text{RPQS}$
Sequence the following sentences $(\mathrm{P}, \mathrm{Q}, \mathrm{R}, \mathrm{S})$ in a coherent passage:$\text{P}$: Shifu's student exclaimed, "Why do you run since ...
581
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Feb 16
Others
gateece-2024
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7
GATE ECE 2024 | GA Question: 7
Four identical cylindrical chalk-sticks, each of radius $r=0.5 \mathrm{~cm}$ and length $l=10 \mathrm{~cm}$, are bound tightly together using a duct tape as shown in the following figure. The width of the duct tape is equal to the length of the chalk-stick. The area ... to wrap the bundle of chalk-sticks once, is $20(4+\pi)$ $20(8+\pi)$ $10(8+\pi)$ $10(4+\pi)$
Four identical cylindrical chalk-sticks, each of radius $r=0.5 \mathrm{~cm}$ and length $l=10 \mathrm{~cm}$, are bound tightly together using a duct tape a...
544
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Feb 16
Others
gateece-2024
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8
GATE ECE 2024 | GA Question: 8
The bar chart shows the data for the percentage of population falling into different categories based on Body Mass Index $\text{(BMI)}$ in $2003$ and $2023$. Based on the data provided, which one of the following options is INCORRECT? ... normal category has decreased in $20$ years. The percentage of population falling into normal category has decreased in $20$ years.
The bar chart shows the data for the percentage of population falling into different categories based on Body Mass Index $\text{(BMI)}$ in $2003$ and $2023$.Based on the ...
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Feb 16
Others
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9
GATE ECE 2024 | GA Question: 9
Examples of mirror and water reflections are shown in the figures below: An object appears as the following image after first reflecting in a mirror and then reflecting on water. The original object is
Examples of mirror and water reflections are shown in the figures below:An object appears as the following image after first reflecting in a mirror and then reflecting on...
546
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Feb 16
Others
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10
GATE ECE 2024 | GA Question: 10
Two identical sheets $\text{A}$ and $\text{B}$, of dimensions $24 \mathrm{~cm} \times 16 \mathrm{~cm}$, can be folded into half using two distinct operations, $\text{FO1}$ or $\text{FO2}$. In $\text{FO1}$, the axis of folding remains parallel to the initial ... of the perimeters of the final shapes of $\text{A}$ and $\text{B}$ is $14:11$ $11: 14$ $18:11$ $11: 18$
Two identical sheets $\text{A}$ and $\text{B}$, of dimensions $24 \mathrm{~cm} \times 16 \mathrm{~cm}$, can be folded into half using two distinct operations, $\...
522
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Feb 16
Others
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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}}$
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answered
Dec 3, 2023
Others
gateece-2023
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GATE ECE 2020 | Question: 29
A finite duration discrete-time signal $x[n]$ is obtained by sampling the continuous-time signal $x\left ( t \right )=\cos\left ( 200\pi t \right )$ at sampling instants $t=n/400, n=0, 1, \dots ,7.$ The $8$-point discrete Fourier transform $\text{(DFT)}$ of $x[n]$ is ... Only $X[4]$ is non-zero. Only $X[2]$ and $X[6]$ are non-zero. Only $X[3]$ and $X[5]$ are non-zero.
A finite duration discrete-time signal $x[n]$ is obtained by sampling the continuous-time signal $x\left ( t \right )=\cos\left ( 200\pi t \right )$ at sampling instants ...
363
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answered
Dec 3, 2023
Continuous-time Signals
gate2020-ec
continuous-time-signals
signals-and-systems
discrete-time-signals
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1
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13
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$
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...
1.7k
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answer selected
Sep 24, 2023
Quantitative Aptitude
gateece-2022
quantitative-aptitude
geometry
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2
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14
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}$
638
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edited
Sep 23, 2023
Quantitative Aptitude
gateece-2023
quantitative-aptitude
functions
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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$
533
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edited
Sep 23, 2023
Spatial Aptitude
gateece-2023
spatial-aptitude
counting-figure
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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
415
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answer selected
Sep 23, 2023
Verbal Aptitude
gateece-2023
verbal-aptitude
word-pairs
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17
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
434
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answer selected
Sep 23, 2023
Verbal Aptitude
gateece-2023
verbal-aptitude
english-grammar
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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
Mosquitoes pose a threat to human health. Controlling mosquitoes using chemicals may have undesired consequences. In Florida, authorities have used genetically modified m...
824
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answer selected
Sep 23, 2023
Analytical Aptitude
gateece-2022
analytical-aptitude
logical-reasoning
passage-reading
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GATE ECE 2014 Set 3 | Question: 42
If $X$ and $Y$ are inputs and the Difference $(D=X-Y)$ and the Borrow $(B)$ are the outputs, which one of the following diagrams implements a half-subtractor?
If $X$ and $Y$ are inputs and the Difference $(D=X-Y)$ and the Borrow $(B)$ are the outputs, which one of the following diagrams implements a half-subtractor?
139
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recategorized
Nov 21, 2022
Number Representations
gate2014-ec-3
digital-circuits
combinational-circuits
half-subtractor-circuit
multiplexers
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20
GATE ECE 2015 Set 2 | Question: 14
In the figure shown, the output ܻ$Y = AB + \overline{C}\:\:\overline{D}$ is required to be ܻ The gates $G1$ and $G2$ must be, respectively, NOR, OR OR, NAND NAND, OR AND,NAND
In the figure shown, the output ܻ$Y = AB + \overline{C}\:\:\overline{D}$ is required to be ܻ The gates $G1$ and $G2$ must be, respectively,NOR, OROR, NANDNAND, ORAND,NA...
153
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recategorized
Nov 21, 2022
Number Representations
gate2015-ec-2
digital-circuits
combinational-circuits
logic-gates
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answer
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GATE ECE 2014 Set 1 | Question: 42
The digital logic shown in the figure satisfies the given state diagram when $Q1$ is connected to input $A$ of the XOR gate. Suppose the XOR gate is replaced by an XNOR gate. Which one of the following options preserves the state diagram? Input $A$ is ... $A$ is connected to $\overline{Q1}$ and $S$ is complemented Input $A$ is connected to $\overline{Q1}$
The digital logic shown in the figure satisfies the given state diagram when $Q1$ is connected to input $A$ of the XOR gate.Suppose the XOR gate is replaced by an XNOR ga...
395
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recategorized
Nov 21, 2022
Number Representations
gate2014-ec-1
digital-circuits
sequential-circuit
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22
GATE ECE 2017 Set 1 | Question: 17
Consider the D-Latch shown in the figure, which is transparent when its clock input $CK$ is high and has zero propagation delay. In the figure , the clock signal $CLK$ has a $50 \%$ duty cycle and $CLK2$ is a one-fifth period delayed version of $CLK1$.The duty cycle at the output of the latch in percentage is _________.
Consider the D-Latch shown in the figure, which is transparent when its clock input $CK$ is high and has zero propagation delay. In the figure , the clock signal $CLK$ ha...
231
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recategorized
Nov 21, 2022
Sequential Circuits
gate2017-ec-1
digital-circuits
sequential-circuit
latch
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GATE ECE 2017 Set 2 | Question: 43
The state diagram of a finite state machine (FSM) designed to detect an overlapping sequence of three bits is shown in the figure. The FSM has an input 'In' and an output 'Out'. The initial state of the FSM is $S_0$. ... is $10101101001101$, starting with the left-most bit, then the number of times 'Out' will be $1$ is ____________
The state diagram of a finite state machine (FSM) designed to detect an overlapping sequence of three bits is shown in the figure. The FSM has an input 'In' and an output...
313
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recategorized
Nov 21, 2022
Number Representations
gate2017-ec-2
fsm
numerical-answers
digital-circuits
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answer
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GATE ECE 2020 | Question: 50
For the components in the sequential circuit shown below, $t_{pd}$ is the propagation delay, $t_{\text{setup}}$ is the setup-time, and $t_{\text{hold}}$ is the hold time. The maximum clock frequency (rounded off to the nearest integer), at which the given circuit can operate reliably, is _________$\text{MHz}$.
For the components in the sequential circuit shown below, $t_{pd}$ is the propagation delay, $t_{\text{setup}}$ is the setup-time, and $t_{\text{hold}}$ is the hold time....
934
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recategorized
Nov 21, 2022
Number Representations
gate2020-ec
numerical-answers
digital-circuits
sequential-circuit
flip-flops
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25
GATE ECE 2022 | GA Question: 1
Mr. $\text{X}$ speaks __________ Japanese ____________ Chinese. neither /or either / nor neither / nor also / but
Mr. $\text{X}$ speaks __________ Japanese ____________ Chinese.neither /oreither / norneither / noralso / but
929
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answer selected
Aug 17, 2022
Verbal Aptitude
gateece-2022
verbal-aptitude
most-appropriate-word
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26
GATE ECE 2021 | Question: 1
The vector function $F\left ( r \right )=-x\hat{i}+y\hat{j}$ is defined over a circular arc $C$ shown in the figure. The line integral of $\int _{C} F\left ( r \right ).dr$ is $\frac{1}{2}$ $\frac{1}{4}$ $\frac{1}{6}$ $\frac{1}{3}$
The vector function $F\left ( r \right )=-x\hat{i}+y\hat{j}$ is defined over a circular arc $C$ shown in the figure.The line integral of $\int _{C} F\left ( r \right ).dr...
715
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answer selected
Mar 29, 2022
Vector Analysis
gateec-2021
vector-analysis
vector-in-planes
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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},$ what is the share of $\text{Q (in ₹)}?$ $500$ $1000$ $1500$ $2000$
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},$...
383
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asked
Feb 15, 2022
Quantitative Aptitude
gateece-2022
quantitative-aptitude
ratio-proportions
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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 “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$
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 “...
1.4k
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asked
Feb 15, 2022
Spatial Aptitude
gateece-2022
spatial-aptitude
patterns-in-two-dimensions
counting-figure
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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 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}$
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...
984
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asked
Feb 15, 2022
Spatial Aptitude
gateece-2022
spatial-aptitude
patterns-in-two-dimensions
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answer
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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$ $4 < x < 5$ $x \geq 5$
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...
338
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asked
Feb 15, 2022
Quantitative Aptitude
gateece-2022
quantitative-aptitude
inequality
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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$ $4 \sqrt{2}$ $8$ $8 \sqrt{2}$
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 quadrilat...
868
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asked
Feb 15, 2022
Quantitative Aptitude
gateece-2022
quantitative-aptitude
cartesian-coordinates
area
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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}$
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...
1.1k
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asked
Feb 15, 2022
Analytical Aptitude
gateece-2022
analytical-aptitude
logical-reasoning
statements-follow
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answer
33
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
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...
1.0k
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asked
Feb 15, 2022
Spatial Aptitude
gateece-2022
spatial-aptitude
rotation
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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}$ denote the unit vectors along the $x - $axis and the $y - $ ... $0$ $1$ $8 + 2 \pi$ $ - 1$
Consider the two-dimensional vector field $\overrightarrow{\rm F}(x, y) = x \overrightarrow{i} + y \overrightarrow{j},$ where $\overrightarrow{i}$ and $\overrightarrow{j}...
451
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Feb 15, 2022
Others
gateece-2022
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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{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$
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 ...
256
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Feb 15, 2022
Others
gateece-2022
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36
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}$
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...
186
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Feb 15, 2022
Others
gateece-2022
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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}$
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}$$ �...
194
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Feb 15, 2022
Others
gateece-2022
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38
GATE ECE 2022 | Question: 5
The Fourier transform $X(j \omega)$ of the signal $x(t) = \frac{t}{(1+t^{2})^{2}}$ is ______________. $\frac{\pi}{2j} \omega e^{– |\omega|}$ $\frac{\pi}{2} \omega e^{– |\omega|}$ $\frac{\pi}{2j}e^{– |\omega|}$ $\frac{\pi}{2}e^{– |\omega|}$
The Fourier transform $X(j \omega)$ of the signal$$x(t) = \frac{t}{(1+t^{2})^{2}}$$is ______________.$\frac{\pi}{2j} \omega e^{– |\omega|}$$\frac{\pi}{2} \omega e^{– ...
198
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Feb 15, 2022
Others
gateece-2022
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39
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 $2 \; \mu\text{m}$ ... $3.7 \times 10^{14} \; \text{cm}^{-3}$ $10^{3} \; \text{cm}^{-3}$
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...
218
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asked
Feb 15, 2022
Others
gateece-2022
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0
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40
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 ____________. $226 \; \text{meV}$ $174 \; \text{meV}$ $218 \; \text{meV}$ $182 \; \text{meV}$
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_{F...
293
views
asked
Feb 15, 2022
Others
gateece-2022
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