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121
GATE ECE 2021 | Question: 27
A box contains the following three coins. A fair coin with head on one face and tail on the other face. A coin with heads on both the faces. A coin with tails on both the faces. A coin is picked randomly from the box and tossed. Out of the two remaining coins in the box, one ... getting a head in the second toss is $\frac{2}{5}$ $\frac{1}{3}$ $\frac{1}{2}$ $\frac{2}{3}$
A box contains the following three coins.A fair coin with head on one face and tail on the other face.A coin with heads on both the faces.A coin with tails on both the fa...
Arjun
6.5k
points
398
views
Arjun
asked
Feb 19, 2021
Probability and Statistics
gateec-2021
probability-and-statistics
probability
conditional-probability
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–
0
votes
0
answers
122
GATE ECE 2018 | Question: 51
The contour $C$ given below is on the complex plane $z=x+j y,$ where $j=\sqrt{-1}.$ The value of the integral $\displaystyle{}\dfrac{1}{\pi j}\oint _{C}\dfrac{dz}{z^{2}-1}$ is _______.
The contour $C$ given below is on the complex plane $z=x+j y,$ where $j=\sqrt{-1}.$ The value of the integral $\disp...
gatecse
1.6k
points
396
views
gatecse
asked
Feb 19, 2018
Complex Analysis
gate2018-ec
numerical-answers
complex-analysis
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1
votes
1
answer
123
GATE ECE 2015 Set 1 | Question: 38
A $3$-input majority gate is defined by the logic function $M(a,b,c)=ab+bc+ca$. Which one of the following gates is represented by the function $M(\overline{M(a,b,c)}, M(a,b,\overline{c}),c)$? $3$-input NAND gate $3$-input XOR gate $3$-input NOR gate $3$-input XNOR gate
A $3$-input majority gate is defined by the logic function $M(a,b,c)=ab+bc+ca$. Which one of the following gates is represented by the function $M(\overline{M(a,b,c)}, M(...
Milicevic3306
16.0k
points
394
views
Milicevic3306
asked
Mar 27, 2018
Digital Circuits
gate2015-ec-1
digital-circuits
logic-gates
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0
votes
0
answers
124
GATE ECE 2024 | Question: 20
Let $\mathbb{R}$ and $\mathbb{R}^{3}$ denote the set of real numbers and the three dimensional vector space over it, respectively. The value of $\alpha$ for which the set of vectors \[ \left\{\left[\begin{array}{lll} 2 & -3 & \alpha \end{array}\right], \quad\left ... ; 7 \end{array}\right]\right\} \] does not form a basis of $\mathbb{R}^{3}$ is $\_\_\_\_\_\_\_$.
Let $\mathbb{R}$ and $\mathbb{R}^{3}$ denote the set of real numbers and the three dimensional vector space over it, respectively. The value of $\alpha$ for which the set...
admin
46.4k
points
392
views
admin
asked
Feb 16
Others
gateece-2024
numerical-answers
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0
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0
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125
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
392
views
admin
asked
May 20, 2023
Others
gateece-2023
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0
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0
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126
GATE ECE 2024 | Question: 24
A source transmits symbols from an alphabet of size $16$. The value of maximum achievable entropy (in bits) is $\_\_\_\_\_\_$.
A source transmits symbols from an alphabet of size $16$. The value of maximum achievable entropy (in bits) is $\_\_\_\_\_\_$.
admin
46.4k
points
387
views
admin
asked
Feb 16
Others
gateece-2024
numerical-answers
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0
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127
GATE ECE 2024 | Question: 4
A digital communication system transmits through a noiseless bandlimited channel $[-W W]$. The received signal $z(t)$ at the output of the receiving filter is given by $z(t)=\sum_{n} b[n] x(t-n T)$ where $b[n]$ are the symbols and $x(t)$ is the overall system response to a ... $\sum_{m=-\infty}^{\infty} X(f+m T)=T$ $\sum_{m=-\infty}^{\infty} X(f+m T)=\frac{1}{T}$
A digital communication system transmits through a noiseless bandlimited channel $[-W W]$. The received signal $z(t)$ at the output of the receiving filter is given by $z...
admin
46.4k
points
385
views
admin
asked
Feb 16
Others
gateece-2024
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1
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1
answer
128
GATE ECE 2009 | Question: 58
Consider the CMOS circuit shown, where the gate voltage $V_{G}$ of the $\text{n-MOSFET}$ is increased from zero, while the gate voltage of the $\text{p-MOSFET}$ is kept constant at $3 \mathrm{~V}$ ... $4-\frac{\sqrt{3}}{2} \mathrm{~V}$ $4+\frac{\sqrt{3}}{2} \mathrm{~V}$
Consider the CMOS circuit shown, where the gate voltage $V_{G}$ of the $\text{n-MOSFET}$ is increased from zero, while the gate voltage of the $\text{p-MOSFET}$ is kept c...
admin
46.4k
points
384
views
admin
asked
Sep 15, 2022
Others
gate2009-ec
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129
GATE ECE 2000 | Question 2.12
One period $(0, T)$ each of two periodic waveforms $W_{1}$ and $W_{2}$ are shown in figure. The magnitudes of the $n$th Fourier series coefficients of $W_{1}$ and $W_{2}$. for $n \geq 1, n$ odd, are respectively proportional to $n^{-3} \mid$ and $n^{-2} \mid$ $n^{-2} \mid$ and $n^{-3} \mid$ $n^{-1}$ and $n^{-2} \mid$ $n^{-4} \mid$ and $n^{-2} \mid$
One period $(0, T)$ each of two periodic waveforms $W_{1}$ and $W_{2}$ are shown in figure. The magnitudes of the $n$th Fourier series coefficients of $W_{1}$ and $W_{2}$...
admin
46.4k
points
381
views
admin
asked
Sep 29, 2022
Others
gate2000-ec
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2
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1
answer
130
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 $\text{S},$...
Arjun
6.5k
points
376
views
Arjun
asked
Feb 15, 2022
Quantitative Aptitude
gateece-2022
quantitative-aptitude
ratio-proportions
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0
votes
1
answer
131
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...
Milicevic3306
16.0k
points
371
views
Milicevic3306
asked
Mar 25, 2018
Number Representations
gate2014-ec-1
digital-circuits
sequential-circuit
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0
votes
0
answers
132
GATE ECE 2017 Set 1 | Question: 1
Consider the 5 $\times$ 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 $-2.5$ $0$ $15$ $25$
Consider the 5 $\times$ 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 eigenv...
admin
46.4k
points
371
views
admin
asked
Nov 17, 2017
Linear Algebra
gate2017-ec-1
linear-algebra
matrices
eigen-values
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2
votes
1
answer
133
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
370
views
admin
asked
May 20, 2023
Quantitative Aptitude
gateece-2023
quantitative-aptitude
number-theory
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0
votes
0
answers
134
GATE ECE 1997 | Question 4.2
The decoding circuit shown in the figure is has been used to generate the active low chip select signal for a microprocessor peripheral. (The address lines are designated as $\mathrm{AO}$ to $\mathrm{A} 7$ for $\mathrm{l} / \mathrm{O}$ ... $30 \; \mathrm{H}$ to $33 \; \mathrm{H}$ $70 \; \mathrm{H}$ to $73 \; \mathrm{H}$
The decoding circuit shown in the figure is has been used to generate the active low chip select signal for a microprocessor peripheral. (The address lines are designated...
admin
46.4k
points
369
views
admin
asked
Oct 2, 2022
Others
gate1997-ec
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0
votes
1
answer
135
GATE ECE 2005 | Question: 57
The given figure shows a ripple counter using positive edge triggered flip-flops. If the present state of the counter is $Q_{2} \; Q_{1} \; Q_{0}=011$, then its next state $\left(Q_{2} \; Q_{1} \; Q_{n}\right)$ will be $010$ $100$ $111$ $101$
The given figure shows a ripple counter using positive edge triggered flip-flops. If the present state of the counter is $Q_{2} \; Q_{1} \; Q_{0}=011$, then its next stat...
admin
46.4k
points
369
views
admin
asked
Sep 22, 2022
Others
gate2005-ec
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1
votes
1
answer
136
GATE ECE 2021 | GA Question: 7
Computers are ubiquitous. They are used to improve efficiency in almost all fields from agriculture to space exploration. Artificial intelligence $\text{(AI)}$ is currently a hot topic. $\text{Al}$ enables computers to learn, given enough training data. For humans, sitting in front of a ... $\text{(ii) and (iv)}$ $\text{(i), (iii) and (iv)}$ $\text{(i) and (iii)}$
Computers are ubiquitous. They are used to improve efficiency in almost all fields from agriculture to space exploration. Artificial intelligence $\text{(AI)}$ is current...
Arjun
6.5k
points
369
views
Arjun
asked
Feb 19, 2021
Verbal Aptitude
gateec-2021
verbal-ability
verbal-reasoning
passage-reading
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2
votes
1
answer
137
GATE ECE 2016 Set 3 | Question: 43
Following is the K-map of a Boolean function of five variables $P,Q,R,S$ and $X$ ... $\overline{Q}\:S\:X+\;Q\:\overline{S}\:\overline{X}$ $\overline{Q}\:S+\;Q\overline{S}$
Following is the K-map of a Boolean function of five variables $P,Q,R,S$ and $X$. The minimum sum-of-product (SOP) expression for the function is$\overline{P}\:\overline{...
Milicevic3306
16.0k
points
369
views
Milicevic3306
asked
Mar 27, 2018
Digital Circuits
gate2016-ec-3
digital-circuits
k-map
min-sum-of-products-form
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–
0
votes
0
answers
138
GATE ECE 2024 | Question: 17
A machine has a $32$-bit architecture with $1$-word long instructions. It has $24$ registers and supports an instruction set of size $40$. Each instruction has five distinct fields, namely opcode, two source register identifiers, one destination register ... value. Assuming that the immediate operand is an unsigned integer, its maximum value is $\_\_\_\_\_\_$.
A machine has a $32$-bit architecture with $1$-word long instructions. It has $24$ registers and supports an instruction set of size $40$. Each instruction has five disti...
admin
46.4k
points
368
views
admin
asked
Feb 16
Others
gateece-2024
numerical-answers
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0
votes
0
answers
139
GATE ECE 2024 | Question: 10
A white Gaussian noise $w(t)$ with zero mean and power spectral density $\frac{N_{0}}{2}$, when applied to a first-order RC low pass filter produces an output $n(t)$. At a particular time $t=t_{k}$, the variance of the random variable $n\left(t_{k}\right)$ is $\_\_\_\_\_\_\_$. $\frac{N_{0}}{4 R C}$ $\frac{N_{0}}{2 R C}$ $\frac{N_{0}}{R C}$ $\frac{2 N_{0}}{R C}$
A white Gaussian noise $w(t)$ with zero mean and power spectral density $\frac{N_{0}}{2}$, when applied to a first-order RC low pass filter produces an output...
admin
46.4k
points
365
views
admin
asked
Feb 16
Others
gateece-2024
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0
votes
0
answers
140
GATE ECE 2024 | Question: 26
Consider the Earth to be a perfect sphere of radius $\text{R}$. Then the surface area of the region, enclosed by the $60^{\circ} \mathrm{N}$ latitude circle, that contains the north pole in its interior is $\_\_\_\_\_\_$. $(2-\sqrt{3}) \pi R^{2}$ $\frac{(\sqrt{2}-1) \pi R^{2}}{2}$ $\frac{2 \pi R^{2}}{3}$ $\frac{(2+\sqrt{3}) \pi R^{2}}{8 \sqrt{2}}$
Consider the Earth to be a perfect sphere of radius $\text{R}$. Then the surface area of the region, enclosed by the $60^{\circ} \mathrm{N}$ latitude circl...
admin
46.4k
points
365
views
admin
asked
Feb 16
Others
gateece-2024
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0
votes
0
answers
141
GATE ECE 2024 | Question: 27
Consider a unity negative feedback control system with forward path gain $G(s)=\frac{K}{(s+1)(s+2)(s+3)}$ as shown. The impulse response of the closed-loop system decays faster than $e^{-t}$ if $\_\_\_\_\_\_$. $1 \leq K \leq 5$ $7 \leq K \leq 21$ $-4 \leq K \leq-1$ $-24 \leq K \leq-6$
Consider a unity negative feedback control system with forward path gain $G(s)=\frac{K}{(s+1)(s+2)(s+3)}$ as shown.The impulse response of the closed-loop ...
admin
46.4k
points
362
views
admin
asked
Feb 16
Others
gateece-2024
+
–
0
votes
1
answer
142
GATE ECE 2006 | Question: 43
A new Binary Coded Pentary (BCP) number system is proposed in which every digit of a base-$5$ number is represented by tis corresponding $3$-bit binary code. For example, the base-$5$ number $24$ ... numbering system, the BCP code $100010011001$ corresponds to the following number in base-$5$ system $423$ $1324$ $2201$ $4231$
A new Binary Coded Pentary (BCP) number system is proposed in which every digit of a base-$5$ number is represented by tis corresponding $3$-bit binary code. For example,...
admin
46.4k
points
362
views
admin
asked
Sep 20, 2022
Others
gate2006-ec
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0
votes
0
answers
143
GATE ECE 2024 | Question: 34
Consider two continuous time signals $x(t)$ and $y(t)$ as shown below If $X(f)$ denotes the Fourier transform of $x(t)$, then the Fourier transform of $y(t)$ is $\_\_\_\_\_\_$. $-4 X(4 f) e^{-j \pi f}$ $-4 X(4 f) e^{-j 4 \pi f}$ $-\frac{1}{4} X(f / 4) e^{-j \pi f}$ $-\frac{1}{4} X(f / 4) e^{-j 4 \pi f}$
Consider two continuous time signals $x(t)$ and $y(t)$ as shown belowIf $X(f)$ denotes the Fourier transform of $x(t)$, then the Fourier transform of $y(t)$ is $\_\_\_\_\...
admin
46.4k
points
360
views
admin
asked
Feb 16
Others
gateece-2024
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0
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0
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144
GATE ECE 2024 | Question: 16
The free electron concentration profile $n(x)$ in a doped semiconductor at equilibrium is shown in the figure, where the points $\mathrm{A}, \mathrm{B}$, and $\mathrm{C}$ mark three different positions. Which of the following statements is/are true? For $x$ ... $\mathrm{B}$ and $\mathrm{A}$, the electric field is directed from $\mathrm{A}$ to $\mathrm{B}$.
The free electron concentration profile $n(x)$ in a doped semiconductor at equilibrium is shown in the figure, where the points $\mathrm{A}, \mathrm{B}$, and $\m...
admin
46.4k
points
357
views
admin
asked
Feb 16
Others
gateece-2024
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0
votes
2
answers
145
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 ...
go_editor
1.9k
points
356
views
go_editor
asked
Feb 13, 2020
Continuous-time Signals
gate2020-ec
continuous-time-signals
signals-and-systems
discrete-time-signals
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–
1
votes
1
answer
146
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 _______________. $A_{0} = 0, A_{1} = 0, A_{2} = 1, A_{3} = 1$ ... $A_{0} = 0, A_{1} = 1, A_{2} = 1, A_{3} = 0$ $A_{0} = 1, A_{1} = 1, A_{2} = 0, A_{3} = 0$
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_...
Arjun
6.5k
points
355
views
Arjun
asked
Feb 15, 2022
Others
gateece-2022
multiplexers
combinational-circuits
digital-circuits
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0
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0
answers
147
GATE ECE 2019 | Question: 27
Consider the line integral $\int_{c} (xdy-ydx)$ 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 $2 \times 3$ ... circle of radius $1$. The line integral evaluates to $6+ \dfrac{\pi}{2}$ $8+\pi$ $12+\pi$ $16+2\pi$
Consider the line integral$$\int_{c} (xdy-ydx)$$the integral being taken in a counterclockwise direction over the closed curve $C$ that forms the boundary of the region $...
Arjun
6.5k
points
354
views
Arjun
asked
Feb 12, 2019
Calculus
gate2019-ec
integrals
calculus
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–
1
votes
1
answer
148
GATE ECE 2020 | Question: 25
The two sides of a fair coin are labelled as $0$ to $1$. The coin is tossed two times independently. Let $M$ and $N$ denote the labels corresponding to the outcomes of those tosses. For a random variable $X$, defined as $X = \text{min}(M, N)$, the expected value $E(X)$ (rounded off to two decimal places) is ___________.
The two sides of a fair coin are labelled as $0$ to $1$. The coin is tossed two times independently. Let $M$ and $N$ denote the labels corresponding to the outcomes of th...
go_editor
1.9k
points
352
views
go_editor
asked
Feb 13, 2020
Probability and Statistics
gate2020-ec
numerical-answers
probability-and-statistics
probability
independent-events
random-variable
expectation
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0
votes
0
answers
149
GATE ECE 2017 Set 1 | Question: 11
For a narrow base PNP BJT , the excess minority carrier concentrations($\Delta n_{E}$ for emitter,$\Delta p_{B}$ for base ,$\Delta n_{c}$ for collector) normalized to equilibrium minority carrier concentrations($n_{E0}$ for ... are shown below. Which one of the following biasing modes is the transistor operating in? Forward active Satiration Inverse active Cutoff
For a narrow base PNP BJT , the excess minority carrier concentrations($\Delta n_{E}$ for emitter,$\Delta p_{B}$ for base ,$\Delta n_{c}$ for collector) normalized to eq...
admin
46.4k
points
351
views
admin
asked
Nov 17, 2017
Analog Circuits
gate2017-ec-1
transistor
analog-circuits
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–
0
votes
0
answers
150
GATE ECE 2024 | Question: 19
In a number system of base $r$, the equation $x^{2}-12 x+37=0$ has $x=8$ as one of its solutions. The value of $r$ is $\_\_\_\_\_\_\_$.
In a number system of base $r$, the equation $x^{2}-12 x+37=0$ has $x=8$ as one of its solutions. The value of $r$ is $\_\_\_\_\_\_\_$.
admin
46.4k
points
349
views
admin
asked
Feb 16
Others
gateece-2024
numerical-answers
+
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0
votes
0
answers
151
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
347
views
admin
asked
May 20, 2023
Others
gateece-2023
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0
votes
0
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152
GATE ECE 2021 | Question: 46
The propagation delay of the exclusive$-\text{OR}$ ($\text{XOR}$) gate in the circuit in the figure is $3\:ns$. The propagation delay of all the flip-flops is assumed to be zero. The clock ($\text{Clk}$ ... of triggering clock edges after which the flip-flop outputs $Q_{2}Q_{1}Q_{0}$ becomes $1\; 0\; 0$ (in integer) is
The propagation delay of the exclusive$-\text{OR}$ ($\text{XOR}$) gate in the circuit in the figure is $3\:ns$. The propagation delay of all the flip-flops is assumed to ...
Arjun
6.5k
points
347
views
Arjun
asked
Feb 19, 2021
Digital Circuits
gateec-2021
numerical-answers
digital-circuits
sequential-circuit
counters
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–
0
votes
0
answers
153
GATE ECE 2015 Set 3 | GA Question: 10
Ms. $X$ will be in Bagdogra from $01/05/2014$ to $20/05/2014$ and from $22/05/2014$ to $31/05/2014.$ On the morning of $21/05/2014,$ she will reach Kochi via Mumbai. Which one of the statements below is logically valid and can be inferred from the above ... May. Ms. $X$ will be only in Kochi for one day in May. Only Ms. $X$ will be in Kochi for one day in May.
Ms. $X$ will be in Bagdogra from $01/05/2014$ to $20/05/2014$ and from $22/05/2014$ to $31/05/2014.$ On the morning of $21/05/2014,$ she will reach Kochi via Mumbai.Which...
Milicevic3306
16.0k
points
347
views
Milicevic3306
asked
Mar 27, 2018
Analytical Aptitude
gate2015-ec-3
analytical-aptitude
logical-reasoning
statements-follow
+
–
0
votes
0
answers
154
GATE ECE 2024 | Question: 6
Let $\hat{i}$ and $\hat{j}$ be the unit vectors along $x$ and $y$ axes, respectively and let $A$ be a positive constant. Which one of the following statements is true for the vector fields $\overrightarrow{F_{1}}=A(\hat{i} y+\hat{j} x)$ ... Only $\vec{F}_{2}$ is an electrostatic field. Neither $\vec{F}_{1}$ nor $\vec{F}_{2}$ is an electrostatic field. .
Let $\hat{i}$ and $\hat{j}$ be the unit vectors along $x$ and $y$ axes, respectively and let $A$ be a positive constant. Which one of the following statements is...
admin
46.4k
points
340
views
admin
asked
Feb 16
Others
gateece-2024
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0
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0
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155
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
340
views
admin
asked
May 20, 2023
Others
gateece-2023
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0
votes
0
answers
156
GATE ECE 2017 Set 2 | Question: 49
The signal $x(t)=\sin (14000\pi t)$, where $t$ is in seconds, is sampled at a rate of $9000$ samples per second. The sampled signal is the input to an ideal lowpass filter with frequency response $H(f)$ ... $= 3$, frequencies $= 2,7,11$ Number $= 2$, frequencies $= 2,7$ Number $= 2$, frequencies $= 7,11$
The signal $x(t)=\sin (14000\pi t)$, where $t$ is in seconds, is sampled at a rate of $9000$ samples per second. The sampled signal is the input to an ideal lowpass filte...
admin
46.4k
points
338
views
admin
asked
Nov 25, 2017
Continuous-time Signals
gate2017-ec-2
continuous-time-signals
+
–
0
votes
0
answers
157
GATE ECE 2020 | Question: 39
The state diagram of a sequence detector is shown below. State $S_{0}$ is the initial state of the sequence detector. If the output is $1$, then the sequence $01010$ is detected. the sequence $01011$ is detected. the sequence $01110$ is detected. the sequence $01001$ is detected.
The state diagram of a sequence detector is shown below. State $S_{0}$ is the initial state of the sequence detector. If the output is $1$, then the sequence $01010$ is d...
go_editor
1.9k
points
337
views
go_editor
asked
Feb 13, 2020
Control Systems
gate2020-ec
state-diagram
sequence-detector
control-systems
+
–
0
votes
0
answers
158
GATE ECE 2014 Set 3 | Question: 13
The figure shows a half-wave rectifier. The diode $D$ is ideal. The average steady-state current (in Amperes) through the diode is approximately ___________.
The figure shows a half-wave rectifier. The diode $D$ is ideal. The average steady-state current (in Amperes) through the diode is approximately ___________.
Milicevic3306
16.0k
points
336
views
Milicevic3306
asked
Mar 26, 2018
Analog Circuits
gate2014-ec-3
numerical-answers
analog-circuits
diodes
+
–
0
votes
0
answers
159
GATE ECE 2016 Set 2 | Question: 5
Consider the time-varying vector $\textbf{I}=\hat{x}15\cos(\omega t)+\hat{y}5\sin(\omega t)$ in Cartesian coordinates, where $\omega> 0$ is a constant. When the vector magnitude $\mid \textbf{I} \mid$ is at its minimum value, the angle $\theta$ that $\textbf{I}$ makes with the $x$ axis (in degrees, such that $ 0\leq \theta \leq 180)$ ________
Consider the time-varying vector $\textbf{I}=\hat{x}15\cos(\omega t)+\hat{y}5\sin(\omega t)$ in Cartesian coordinates, where $\omega 0$ is a constant. When the vector mag...
Milicevic3306
16.0k
points
334
views
Milicevic3306
asked
Mar 27, 2018
Vector Analysis
gate2016-ec-2
numerical-answers
vector-analysis
+
–
2
votes
0
answers
160
GATE ECE 2019 | Question: 1
Which one of the following functions is analytic over the entire complex plane? $\ln(z)$ $e^{1/z}$ $\frac{1}{1-z}$ $\cos(z)$
Which one of the following functions is analytic over the entire complex plane?$\ln(z)$$e^{1/z}$$\frac{1}{1-z}$$\cos(z)$
Arjun
6.5k
points
333
views
Arjun
asked
Feb 12, 2019
Complex Analysis
gate2019-ec
complex-analysis
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