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1
GATE2018-GA-8
To pass a test, a candidate needs to answer at least $2$ out of $3$ questions correctly. A total of $6,30,000$ candidates appeared for the test. Question $A$ was correctly answered by $3,30,000$ candidates. Question $B$ was answered correctly by $2,50,000$ candidates. Question $C$ was answered correctly by $2,60,000$ candidates ... all questions correctly is the same as the number answering none, how many candidates failed to clear the test? $30,000$ $2,70,000$ $3,90,000$ $4,20,000$
To pass a test, a candidate needs to answer at least $2$ out of $3$ questions correctly. A total of $6,30,000$ candidates appeared for the test. Question $A$ was correctl...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Quantitative Aptitude
gate2018-in
numerical-ability
counting
+
–
0
votes
0
answers
2
GATE IN 2024 | GA Question: 1
If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words [drizzle $\rightarrow$ rain $\rightarrow$ downpour] is analogous to [ $\rightarrow$ quarrel $\rightarrow$ feud]. Which one of the given options is appropriate to fill the blank? bicker bog dither dodge
If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words[drizzle $\rightarrow$ rain $\rightarrow$ downpour] is analogous to [ $\rightarro...
Arjun
2.9k
points
Arjun
asked
Feb 16
Others
gatein-2024
+
–
0
votes
0
answers
3
GATE IN 2024 | GA Question: 10
Visualize a cube that is held with one of the four body diagonals aligned to the vertical axis. Rotate the cube about this axis such that its view remains unchanged. The ...
Arjun
2.9k
points
Arjun
asked
Feb 16
Others
gatein-2024
+
–
0
votes
0
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4
GATE2018-GA-3
For $0\leq{x}\leq{2\pi}$, $\sin x \text{ and } \cos x$ are both decreasing functions in the interval _________ . $\left(0,\dfrac{\pi}{2}\right)$ $\left(\dfrac{\pi}{2},\pi\right)$ $\left(\pi,\dfrac{3\pi}{2}\right)$ $\left(\dfrac{3\pi}{2},2\pi\right)$
For $0\leq{x}\leq{2\pi}$, $\sin x \text{ and } \cos x$ are both decreasing functions in the interval _________ .$\left(0,\dfrac{\pi}{2}\right)$$\left(\dfrac{\pi}{2},\pi\r...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Quantitative Aptitude
gate2018-in
numerical-ability
functions
trigonometry
+
–
0
votes
0
answers
5
GATE2018-GA-2
"In spite of being warned repeatedly, he failed to correct his _________ behaviour ." The word that best fills the blank in the above sentence is rational reasonable errant good
"In spite of being warned repeatedly, he failed to correct his _________ behaviour ."The word that best fills the blank in the above sentence isrationalreasonableerrantgo...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Verbal Aptitude
gate2018-in
verbal-ability
most-appropriate-word
+
–
2
votes
1
answer
6
GATE IN 2023 | GA Question: 3
A 'frabjous' number is defined as a $3$ digit number with all digits odd, and no two adjacent digits being the same. For example, $137$ is a frabjous number, while $133$ is not. How many such frabjous numbers exist? $125$ $720$ $60$ $80$
A 'frabjous' number is defined as a $3$ digit number with all digits odd, and no two adjacent digits being the same. For example, $137$ is a frabjous number, while $133$ ...
admin
2.7k
points
admin
asked
May 22, 2023
Quantitative Aptitude
gatein-2023
quantitative-aptitude
number-theory
+
–
2
votes
1
answer
7
GATE IN 2023 | GA Question: 4
Which one among the following statements must be $\text{TRUE}$ about the mean and the median of the scores of all candidates appearing for $\text{GATE }2023?$ The median is at least as large as the mean. The mean is at least as large as the median. At most half the candidates have a score that is larger than the median At most half the candidates have a score that is larger than the mean.
Which one among the following statements must be $\text{TRUE}$ about the mean and the median of the scores of all candidates appearing for $\text{GATE }2023?$The median i...
admin
2.7k
points
admin
asked
May 22, 2023
Quantitative Aptitude
gatein-2023
quantitative-aptitude
statistics
+
–
0
votes
0
answers
8
GATE2017: 61
Bhaichung was observing the pattern of people entering and leaving a car service centre. There was a single window where customers were being served. He saw that people inevitably came out of the centre in the order that they went in. However, the time they spent inside seemed to vary a lot: some people came out in ... likely to operate on a last-come-first-served basis. Entering the centre early ensured that one would have shorter service times and most people attempted to do this.
Bhaichung was observing the pattern of people entering and leaving a car service centre. There was a single window where customers were being served. He saw that people i...
soujanyareddy13
2.7k
points
soujanyareddy13
asked
Nov 2, 2020
Verbal Aptitude
gate2017-in
verbal-ability
verbal-reasoning
passage-reading
+
–
0
votes
0
answers
9
GATE IN 2021 | GA Question: 7
Consider two rectangular sheets, Sheet $\text{M}$ and Sheet $\text{N}$ of dimensions $6\:cm \times 4\:cm$ each. $\text{Folding operation 1}$ : The sheet is folded into half by joining the short edges of the current shape. $\text{Folding operation 2}$ : The sheet is folded into half by joining the long edges of the current shape. ... of the final folded shape of Sheet $\text{N}$ to the final folded shape of Sheet $\text{M}$ is _____________. $13:7$ $3:2$ $7:5$ $5:13$
Consider two rectangular sheets, Sheet $\text{M}$ and Sheet $\text{N}$ of dimensions $6\:cm \times 4\:cm$ each.$\text{Folding operation 1}$ : The sheet is folded into hal...
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Spatial Aptitude
gatein-2021
spatial-aptitude
paper-folding
+
–
0
votes
0
answers
10
GATE2018IN: 44
A 2-bit synchronous counter using two $J-K$ flip flops is shown. The expressions for the inputs to the $J-K$ flip flops are also shown in the figure. The output sequence of the counter starting from $Q_1Q_2 = 00$ is $00 \rightarrow 11 \rightarrow 10 \rightarrow 01 \rightarrow 00 …$ $00 \rightarrow 01 \rightarrow 10 \rightarrow 11 \rightarrow 00…$ $00 \rightarrow 01 \rightarrow 11 \rightarrow 10 \rightarrow 00…$ $00 \rightarrow 10 \rightarrow 11 \rightarrow 01 \rightarrow 00 ...$
A 2-bit synchronous counter using two $J-K$ flip flops is shown. The expressions for the inputs to the $J-K$ flip flops are also shown in the figure. The output sequence ...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Digital Electronics
gate2018-in
digital-electronics
sequential-circuit
counter
synchronous-counter
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–
0
votes
0
answers
11
GATE IN 2024 | Question: 1
Let $\boldsymbol{z}=x+i y$ be a complex variable and $\overline{\boldsymbol{z}}$ be its complex conjugate. The equation $\bar{z}^{2}+z^{2}=2$ represents a parabola hyperbola ellipse circle
Let $\boldsymbol{z}=x+i y$ be a complex variable and $\overline{\boldsymbol{z}}$ be its complex conjugate. The equation $\bar{z}^{2}+z^{2}=2$ represents aparabolahyperbol...
admin
2.7k
points
admin
asked
Feb 16
Others
gatein-2024
+
–
0
votes
0
answers
12
GATE IN 2024 | Question: 28
Consider a discrete-time sequence \[ x[n]=\left\{\begin{array}{ll} (0.2)^{n}, & 0 \leq n \leq 7 \\ 0, & \text { otherwise } \end{array}\right. \] The region of convergence of $X(z)$, the $z$-transform of $x[n]$, consists of all values of $z$ except $z=0.2$ all values of $z$ all values of $z$ except $z=0$ all values of $z$ except $z=\infty$
Consider a discrete-time sequence\[x[n]=\left\{\begin{array}{ll}(0.2)^{n}, & 0 \leq n \leq 7 \\0, & \text { otherwise }\end{array}\right.\]The region of convergence of $X...
admin
2.7k
points
admin
asked
Feb 16
Others
gatein-2024
+
–
0
votes
0
answers
13
GATE IN 2024 | GA Question: 2
Statements: 1. All heroes are winners. 2. All winners are lucky people. Inferences: I. All lucky people are heroes. II. Some lucky people are heroes. III. Some winners are heroes. Which of the above inferences can be logically deduced from statements 1 and 2 ? Only I and II Only II and III Only I and III Only III
Statements:1. All heroes are winners.2. All winners are lucky people.Inferences:I. All lucky people are heroes.II. Some lucky people are heroes.III. Some winners are hero...
Arjun
2.9k
points
Arjun
asked
Feb 16
Others
gatein-2024
+
–
0
votes
0
answers
14
GATE IN 2024 | Question: 55
A random variable $X$ has a probability density function \[ f_{X}(x)=\left\{\begin{array}{cc} e^{-x}, & x \geq 0 \\ 0, & \text { otherwise } \end{array}\right. \] The probability of $X>2$ is (rounded off to three decimal places).
A random variable $X$ has a probability density function\[f_{X}(x)=\left\{\begin{array}{cc}e^{-x}, & x \geq 0 \\0, & \text { otherwise }\end{array}\right.\]The probabilit...
admin
2.7k
points
admin
asked
Feb 16
Others
gatein-2024
numerical-answers
+
–
0
votes
0
answers
15
GATE IN 2024 | Question: 34
Consider the feedback control system shown in the figure. The steady-state error $e_{s s}=\lim _{t \rightarrow \infty}(r(t)-y(t))$ due to unit step reference $r(t)$ is $\frac{K-1}{K}$ $\frac{1}{2}$ $0$ $\frac{1-K}{K}$
Consider the feedback control system shown in the figure. The steady-state error $e_{s s}=\lim _{t \rightarrow \infty}(r(t)-y(t))$ due to unit step reference $r(t)$ is$\f...
admin
2.7k
points
admin
asked
Feb 16
Others
gatein-2024
+
–
0
votes
0
answers
16
GATE IN 2024 | GA Question: 3
A student was supposed to multiply a positive real number $p$ with another positive real number $q$. Instead, the student divided $p$ by $q$. If the percentage error in the student's answer is $80 \%$, the value of $q$ is $5$ $\sqrt{2}$ $2$ $\sqrt{5}$
A student was supposed to multiply a positive real number $p$ with another positive real number $q$. Instead, the student divided $p$ by $q$. If the percentage error in t...
Arjun
2.9k
points
Arjun
asked
Feb 16
Others
gatein-2024
+
–
0
votes
0
answers
17
GATE2020 IN: 24
The capacitance $C_x$ of a capacitive type sensor is $(1000x) pF,$ where x is the input to the sensor. As shown in the figure, the sensor is excited by a voltage $\text{10 sin(100}\pi\: t) V$. The other terminal of the sensor is tied to the input of a high input impedance amplifier through a shielded cable, with shield connected ... . The cable capacitance is $\text{100 pF}$. The peak of the voltage $V_A$ at the input of the amplifier when $\text{x=0.1 (in volts)}$ is _________.
The capacitance $C_x$ of a capacitive type sensor is $(1000x) pF,$ where x is the input to the sensor. As shown in the figure, the sensor is excited by a voltage $\text{...
soujanyareddy13
2.7k
points
soujanyareddy13
asked
Nov 3, 2020
Others
gate2020-in
numerical-answers
+
–
1
votes
0
answers
18
GATE IN 2023 | GA Question: 6
Residency is a famous housing complex with many well-established individuals among its residents. A recent survey conducted among the residents of the complex revealed that all of those residents who are well established in their respective fields happen to be academicians. The survey also revealed that most of ... are residents of the complex who are well established in their fields. Some academicians residing in the complex are well established in their fields.
Residency is a famous housing complex with many well-established individuals among its residents. A recent survey conducted among the residents of the complex revealed th...
admin
2.7k
points
admin
asked
May 22, 2023
Analytical Aptitude
gatein-2023
analytical-aptitude
logical-reasoning
+
–
0
votes
0
answers
19
GATE IN 2024 | GA Question: 6
In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks. Yoko Roi stands (i) as an author for standing (ii) as an honorary fellow, after she stood (iii) her writings that stand (iv) the freedom of speech. (i) out (ii) down (iii) in (iv) for (i) down (ii) out (iii) by (iv) in (i) down (ii) out (iii) for (iv) in (i) out (ii) down (iii) by (iv) for
In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks.Yoko Roi stands (i) as an author for standing (ii) as an honorary fellow, af...
Arjun
2.9k
points
Arjun
asked
Feb 16
Others
gatein-2024
+
–
0
votes
0
answers
20
GATE2019 IN: GA-7
In a country of $1400$ million population, $70\%$ own mobile phones. Among the mobile phone owners, only $294$ million access the Internet. Among these Internet users, only half buy goods from e-commerce portals. What is the percentage of these buyers in the country? $10.50$ $14.70$ $15.00$ $50.00$
In a country of $1400$ million population, $70\%$ own mobile phones. Among the mobile phone owners, only $294$ million access the Internet. Among these Internet users, on...
Arjun
2.9k
points
Arjun
asked
Feb 10, 2019
Quantitative Aptitude
gate2019-in
numerical-ability
percentage
+
–
0
votes
1
answer
21
GATE2018IN: 14
Consider the transfer function G(s) = $\frac{2}{(s+1)(s+2)}$. The phase margin of G(s) in degrees is $\_\_\_\_\_$
Consider the transfer function G(s) = $\frac{2}{(s+1)(s+2)}$. The phase margin of G(s) in degrees is $\_\_\_\_\_$
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018-in
numerical-answers
+
–
0
votes
0
answers
22
GATE2018-GA-1
"When she fell down the ________ , she received many _________ but little help." The words that best fill the blanks in the above sentence are stairs, stares stairs, stairs stares, stairs stares, stares
"When she fell down the ________ , she received many _________ but little help."The words that best fill the blanks in the above sentence arestairs, staresstairs, stairss...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Verbal Aptitude
gate2018-in
verbal-ability
most-appropriate-word
+
–
0
votes
0
answers
23
GATE IN 2024 | Question: 39
The complex functions $f(z)=u(x, y)+i v(x, y)$ and $\overline{f(z)}=u(x, y)-i v(x, y)$ are both analytic in a given domain. Choose the correct option(s) from the following. $\frac{\partial u}{\partial x}=\frac{\partial v}{\partial y}=0$ $\frac{\partial u}{\partial y}=-\frac{\partial v}{\partial x} \neq 0$ $\frac{d f(z)}{d z}=0$ $\frac{d f(z)}{d z} \neq 0$
The complex functions $f(z)=u(x, y)+i v(x, y)$ and $\overline{f(z)}=u(x, y)-i v(x, y)$ are both analytic in a given domain. Choose the correct option(s) from the followin...
admin
2.7k
points
admin
asked
Feb 16
Others
gatein-2024
+
–
0
votes
0
answers
24
GATE IN 2024 | Question: 54
The solution of an ordinary differential equation $y^{\prime \prime \prime}+3 y^{\prime \prime}+3 y^{\prime}+y=30 e^{-t}$ is \[ y(t)=\left(c_{0}+c_{1} t-c_{2} t^{2}+c_{3} t^{3}\right) e^{-t} \] Given $y(0)=3, y^{\prime}(0)=-3$ and $y^{\prime \prime}(0)=-47$, the value of $\left(c_{0}+c_{1}+c_{2}+c_{3}\right)$ is (rounded off ... $c_{0}, c_{1}, c_{2}, c_{3}$ are constants.
The solution of an ordinary differential equation $y^{\prime \prime \prime}+3 y^{\prime \prime}+3 y^{\prime}+y=30 e^{-t}$ is\[y(t)=\left(c_{0}+c_{1} t-c_{2} t^{2}+c_{3} t...
admin
2.7k
points
admin
asked
Feb 16
Others
gatein-2024
numerical-answers
+
–
0
votes
0
answers
25
GATE IN 2024 | Question: 26
A wire of circular cross section with radius $a$ is shown in the figure. The current density is given by $\mathbf{J}=k s^{2}$, where $k$ is a constant, $s$ is the radial distance from the axis and $0 \leq s \leq a$. The total current $I$ in the wire is $\frac{\pi k a^{4}}{2}$ $\frac{2 \pi k a^{3}}{3}$ $\frac{\pi k a^{3}}{2}$ $\frac{\pi k a^{4}}{4}$
A wire of circular cross section with radius $a$ is shown in the figure. The current density is given by $\mathbf{J}=k s^{2}$, where $k$ is a constant, $s$ is the radial ...
admin
2.7k
points
admin
asked
Feb 16
Others
gatein-2024
+
–
0
votes
0
answers
26
GATE IN 2024 | Question: 16
A $3 \times 3$ matrix $P$ with all real elements has eigenvalues $\frac{1}{4}, 1$, and -2 . The value of $\left|P^{-1}\right|$ is (rounded off to nearest integer).
A $3 \times 3$ matrix $P$ with all real elements has eigenvalues $\frac{1}{4}, 1$, and -2 . The value of $\left|P^{-1}\right|$ is (rounded off to nearest integer).
admin
2.7k
points
admin
asked
Feb 16
Others
gatein-2024
numerical-answers
+
–
0
votes
0
answers
27
GATE IN 2024 | Question: 44
Consider the figure shown. For zero deflection in the galvanometer, the required value of resistor $R_{x}$ is $\Omega$ (rounded off to nearest integer).
Consider the figure shown. For zero deflection in the galvanometer, the required value of resistor $R_{x}$ is $\Omega$ (rounded off to nearest integer).
admin
2.7k
points
admin
asked
Feb 16
Others
gatein-2024
numerical-answers
+
–
0
votes
0
answers
28
GATE IN 2024 | Question: 31
In the figure shown, both the opamps $\mathrm{A}_{1}$ and $\mathrm{A}_{2}$ are ideal, except that the opamp $\mathrm{A}_{1}$ has an offset voltage $\left(\mathrm{V}_{\text {os }}\right)$ of $1 \mathrm{mV}$. For $\mathrm{V}_{\text {in }}=0 \mathrm{~V}$, the values of the output voltages $V_{\text {out1 }}$ ... $-1 \mathrm{mV}$ $1 \mathrm{mV}$ and $0 \mathrm{mV}$ $1 \mathrm{mV}$ and $-1 \mathrm{mV}$ $2 \mathrm{mV}$ and $0 \mathrm{mV}$
In the figure shown, both the opamps $\mathrm{A}_{1}$ and $\mathrm{A}_{2}$ are ideal, except that the opamp $\mathrm{A}_{1}$ has an offset voltage $\left(\mathrm{V}_{\tex...
admin
2.7k
points
admin
asked
Feb 16
Others
gatein-2024
+
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0
votes
0
answers
29
GATE IN 2024 | Question: 8
The sinusoidal transfer function corresponding to the polar plot shown in the figure, for $T>0$, is $1-j \omega T$ $\frac{1-j \omega T}{1+j \omega T}$ $1+j \omega T$ $\frac{1}{1+j \omega T}$
The sinusoidal transfer function corresponding to the polar plot shown in the figure, for $T>0$, is$1-j \omega T$$\frac{1-j \omega T}{1+j \omega T}$$1+j \omega T$$\frac{1...
admin
2.7k
points
admin
asked
Feb 16
Others
gatein-2024
+
–
1
votes
0
answers
30
GATE IN 2023 | GA Question: 5
In the given diagram, ovals are marked at different heights $(h)$ of a hill. Which one of the following options $\mathbf{P}, \mathbf{Q}, \mathbf{R}$, and $\mathbf{S}$ depicts the top view of the hill? $\mathbf{P}$ $\mathbf{Q}$ $\mathbf{R}$ $\mathbf{S}$
In the given diagram, ovals are marked at different heights $(h)$ of a hill. Which one of the following options $\mathbf{P}, \mathbf{Q}, \mathbf{R}$, and $\mathbf{S}$ dep...
admin
2.7k
points
admin
asked
May 22, 2023
Quantitative Aptitude
gatein-2023
quantitative-aptitude
curves
+
–
0
votes
0
answers
31
GATE IN 2024 | Question: 48
An ADC has a full scale voltage of $1.4 \mathrm{~V}$, resolution of $200 \mathrm{mV}$, and produces binary output data. The input signal of the ADC has a bandwidth of $500 \mathrm{MHz}$, and it samples the data at the Nyquist rate. The parallel data output is converted to a serial bit stream using a parallel-to-serial converter. The data rate at the output of the parallel-to-serial converter is Gbps (rounded off to nearest integer).
An ADC has a full scale voltage of $1.4 \mathrm{~V}$, resolution of $200 \mathrm{mV}$, and produces binary output data. The input signal of the ADC has a bandwidth of $50...
admin
2.7k
points
admin
asked
Feb 16
Others
gatein-2024
numerical-answers
+
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0
votes
0
answers
32
GATE IN 2024 | Question: 9
A matrix $M$ is constructed by stacking three column vectors $v_{1}, v_{2}, v_{3}$ as \[ M=\left[\begin{array}{lll} v_{1} & v_{2} & v_{3} \end{array}\right] \] Choose the set of vectors from the following options such that $\operatorname{rank}(M)=3$ ...
A matrix $M$ is constructed by stacking three column vectors $v_{1}, v_{2}, v_{3}$ as\[M=\left[\begin{array}{lll}v_{1} & v_{2} & v_{3}\end{array}\right]\]Choose the set o...
admin
2.7k
points
admin
asked
Feb 16
Others
gatein-2024
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0
votes
0
answers
33
GATE IN 2024 | Question: 12
Consider a filter defined by the difference equation \[ y[n]-0.5 y[n-2]=a x[n-4] \] where $x[n]$ and $y[n]$ represent the input and output, respectively. If the magnitude response of the filter at $\omega=\frac{\pi}{2}$ is $\left|H\left(\frac{\pi}{2}\right)\right|=0.5$, the value of $a$ is (rounded off to two decimal places).
Consider a filter defined by the difference equation\[y[n]-0.5 y[n-2]=a x[n-4]\]where $x[n]$ and $y[n]$ represent the input and output, respectively. If the magnitude res...
admin
2.7k
points
admin
asked
Feb 16
Others
gatein-2024
numerical-answers
+
–
0
votes
0
answers
34
GATE IN 2024 | Question: 30
Laplace transform of a signal $x(t)$ is \[ X(s)=\frac{1}{s^{2}+13 s+42} \] Let $u(t)$ be the unit step function. Choose the signal $x(t)$ from the following options if the region of convergence is $-7
Laplace transform of a signal $x(t)$ is\[X(s)=\frac{1}{s^{2}+13 s+42}\]Let $u(t)$ be the unit step function. Choose the signal $x(t)$ from the following options if the re...
admin
2.7k
points
admin
asked
Feb 16
Others
gatein-2024
+
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0
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0
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35
GATE IN 2024 | Question: 43
The 4-point DFTs of two sequences $x[n]$ and $y[n]$ are $X[k]=[1,-j, 1, j]$ and $Y[k]=[1,3 j, 1,-3 j]$, respectively. Assuming $z[n]$ represents the 4 -point circular convolution of $x[n]$ and $y[n]$, the value of $z[0]$ is (rounded off to nearest integer). Note: The DFT of a $N$-point sequence $x[n]$ is defined as \[ X[k]=\sum_{n=0}^{N-1} x[n] e^{\frac{-j 2 \pi n k}{N}} \]
The 4-point DFTs of two sequences $x[n]$ and $y[n]$ are $X[k]=[1,-j, 1, j]$ and $Y[k]=[1,3 j, 1,-3 j]$, respectively. Assuming $z[n]$ represents the 4 -point circular con...
admin
2.7k
points
admin
asked
Feb 16
Others
gatein-2024
numerical-answers
+
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0
votes
0
answers
36
GATE IN 2024 | Question: 20
The voltage applied and the current drawn by a circuit are \[ \begin{array}{c} v(t)=95+200 \cos (120 \pi t)+90 \cos \left(360 \pi t-60^{\circ}\right) \mathrm{V} \\ i(t)=4 \cos \left(120 \pi t-60^{\circ}\right)+1.5 \cos \left(240 \pi t-75^{\circ}\right) \mathrm{A} \end{array} \] The average power absorbed by the circuit is W (rounded off to nearest integer).
The voltage applied and the current drawn by a circuit are\[\begin{array}{c}v(t)=95+200 \cos (120 \pi t)+90 \cos \left(360 \pi t-60^{\circ}\right) \mathrm{V} \\i(t)=4 \co...
admin
2.7k
points
admin
asked
Feb 16
Others
gatein-2024
numerical-answers
+
–
0
votes
0
answers
37
GATE IN 2024 | Question: 41
In the figure shown, $\mathrm{R}=4.5 \mathrm{k} \Omega, \Delta \mathrm{R}=1.5 \mathrm{k} \Omega$, and $\mathrm{INA}$ is assumed to be ideal. The equivalent resistance between $\mathrm{A}$ and $\mathrm{B}$ is $\mathrm{k} \Omega$ (rounded off to nearest integer).
In the figure shown, $\mathrm{R}=4.5 \mathrm{k} \Omega, \Delta \mathrm{R}=1.5 \mathrm{k} \Omega$, and $\mathrm{INA}$ is assumed to be ideal. The equivalent resistance bet...
admin
2.7k
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admin
asked
Feb 16
Others
gatein-2024
numerical-answers
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GATE IN 2023 | GA Question: 10
An opaque cylinder (shown below) is suspended in the path of a parallel beam of light, such that its shadow is cast on a screen oriented perpendicular to the direction of...
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GATE IN 2024 | Question: 53
Two magnetically coupled coils, when connected in series-aiding configuration, have a total inductance of $500 \mathrm{mH}$. When connected in series-opposing configuration, the coils have a total inductance of $300 \mathrm{mH}$. If the self-inductance of both the coils are equal, then the coupling coefficient is (rounded off to two decimal places).
Two magnetically coupled coils, when connected in series-aiding configuration, have a total inductance of $500 \mathrm{mH}$. When connected in series-opposing configurati...
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GATE IN 2024 | Question: 4
Match the following measuring devices with their principle of measurement. \begin{tabular}{|l|l|} \hline Measuring Device & Principle of Measurement \\ \hline (P) Optical pyrometer & (I) Variation in mutual inductance \\ \hline (Q) Thermocouple & (II) Change in resistance \\ \hline (R) Strain gauge & (III) Wavelength of radiated energy \\ ... $(\mathrm{P})-(\mathrm{II}),(\mathrm{Q})-(\mathrm{IV}),(\mathrm{R})-(\mathrm{I}),(\mathrm{S})-(\mathrm{III})$
Match the following measuring devices with their principle of measurement.\begin{tabular}{|l|l|}\hline Measuring Device & Principle of Measurement \\\hline (P) Optical py...
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