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GATE Electrical 2021 | GA Question: 6
The importance of sleep is often overlooked by students when they are preparing for exams. Research has consistently shown that sleep deprivation greatly reduces the ability to recall the material learnt. Hence, cutting down on sleep to study longer hours can ... he needs little or no sleep. To do well in an exam, adequate sleep must be part of the preparation.

answered Apr 11, 2021 in Verbal Ability by Arjun (7.8k points)

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GATE Electrical 2021 | GA Question: 5
$\textit{Oasis}$ is to $\textit{sand}$ as $\textit{island}$ is to _____________ Which one of the following options maintains a similar logical relation in the above sentence? Stone Land Water Mountain

answered Apr 11, 2021 in Verbal Ability by Arjun (7.8k points)

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GATE Electrical 2021 | GA Question: 1
The people _______________ were at the demonstration were from all sections of society. whose which who whom

answered Apr 11, 2021 in Verbal Ability by Arjun (7.8k points)

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GATE Electrical 2020 | GA Question: 2
People were prohibited_____their vehicles near the entrance of the main administrative building. to park from parking parking to have parked

answered Apr 10, 2021 in Verbal Ability by Arjun (7.8k points)

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GATE Electrical 2020 | GA Question: 10
The revenue and expenditure of four different companies $\text{P, Q, R and S}$ in $2015$ are shown in the figure. If the revenue of company $\text{Q}$ in $2015$ was $20$% more than that in $2014$, and company $\text{Q}$ had earned a profit of ... expenditure in $2014$, then its expenditure (in million rupees) in $2014$ was _______. $32.7$ $33.7$ $34.1$ $35.1$

answered Apr 4, 2021 in Numerical Ability by Lakshman Patel RJIT (3.7k points)

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GATE Electrical 2021 | GA Question: 10
Seven cars $\text{P, Q. R, S, T, U and V}$ are parked in a row not necessarily in that order. The cars $T$ and $U$ should be parked next to each other. The cars $S$ and $V$ also should be parked next to each other, whereas $P$ and $Q$ ... and $R$ are not parked together. $V$ is the only car parked in between $S$ and $R$. Car $P$ is parked at the extreme end.

answered Mar 27, 2021 in Analytical Aptitude by Lakshman Patel RJIT (3.7k points)

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GATE Electrical 2021 | GA Question: 7
In the figure shown above, each inside square is formed by joining the midpoints of the sides of the next larger square. The area of the smallest square (shaded) as shown, in $\text{cm}^{2}$ is: $12.50$ $6.25$ $3.125$ $1.5625$

answered Mar 27, 2021 in Numerical Ability by Lakshman Patel RJIT (3.7k points)

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GATE Electrical 2021 | GA Question: 4
Which one of the following numbers is exactly divisible by $\left ( 11^{13} +1\right )$? $11^{26} +1$ $11^{33} +1$ $11^{39} -1$ $11^{52} -1$

answered Mar 27, 2021 in Numerical Ability by Lakshman Patel RJIT (3.7k points)

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GATE Electrical 2021 | GA Question: 3
For a regular polygon having $10$ sides, the interior angle between the sides of the polygon, in degrees, is: $396$ $324$ $216$ $144$

answered Mar 27, 2021 in Spatial Aptitude by Lakshman Patel RJIT (3.7k points)

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GATE Electrical 2021 | GA Question: 8
Let $X$ be a continuous random variable denoting the temperature measured. The range of temperature is $[0, 100]$ degree Celsius and let the probability density function of $X$ be $f\left ( x \right )=0.01$ for $0\leq X\leq 100$. The mean of $X$ is __________ $2.5$ $5.0$ $25.0$ $50.0$

answered Mar 27, 2021 in Numerical Ability by Lakshman Patel RJIT (3.7k points)

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GATE Electrical 2021 | GA Question: 9
The number of students passing or failing in an exam for a particular subject is presented in the bar chart above. Students who pass the exam cannot appear for the exam again. Students who fail the exam in the first attempt must appear for the exam in the following ... $65$ and $53$ $60$ and $50$ $55$ and $53$ $55$ and $48$

answered Mar 27, 2021 in Numerical Ability by Lakshman Patel RJIT (3.7k points)

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GATE Electrical 2021 | GA Question: 2
A transparent square sheet shown above is folded along the dotted line. The folded sheet will look like ________________.

answered Mar 24, 2021 in Spatial Aptitude by Lakshman Patel RJIT (3.7k points)

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asked Mar 17, 2021 in new by Priyanka_Gupta_20 (120 points)

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GATE Electrical 2020 | Question: 1
$ax^{3}+bx^{2}+cx+d$ is a polynomial on real $\text{x}$ over real coefficients $\text{a, b, c, d}$ wherein $a\neq 0.$ Which of the following statements is true? $\text{d}$ can be chosen to ensure that $\text{x = 0}$ is a root for any ... $\text{a, b, c, d}$ can be chosen to ensure that all roots are complex. $\text{c}$ alone cannot ensure that all roots are real.

answered Mar 17, 2021 in Calculus by Adarsh Joshi (150 points)

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GATE Electrical 2016 Set 2 | Question: 42
The flux linkage $(\lambda)$ and current $(i)$ relation for an electromagnetic system is $\lambda=(\sqrt{i})/g$. When $i = 2A$ and $g$ (air-gap length) = $10$ cm, the magnitude of mechanical force on the moving part, in $N$, is __________.

answered Mar 17, 2021 in Electromagnetic Fields by Tar1188 (140 points)

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GATE Electrical 2018 | GA Question: 7
In a certain code, $AMCF$ is written as $EQGJ$ and $NKUF$ is written as $ROYJ.$ How will $DHLP$ be written in that code$?$ $RSTN$ $TLPH$ $HLPT$ $XSVR$

answered Mar 17, 2021 in Analytical Aptitude by Hira Thakur (310 points)

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GATE Electrical 2019 | GA Question: 3
The missing number in the given sequence $343,1331,$_____$,4913$ is $3375$ $2744$ $2197$ $4096$

answered Mar 17, 2021 in Analytical Aptitude by Hira Thakur (310 points)

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GATE Electrical 2019 | GA Question: 10
Consider five people- Mita, Ganga, Rekha, Lakshmi, and Sana. Ganga is taller than both Rekha and Lakshmi. Lakshmi is taller than Sana. Mita is taller than Ganga. Which of the following conclusions are true? Lakshmi is taller than Rekha Rekha is shorter than Mita Rekha is taller than Sana Sana is shorter than Ganga $1$ and $3$ $3$ only $2$ and $4$ $1$ only

answered Mar 17, 2021 in Analytical Aptitude by Hira Thakur (310 points)

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GATE Electrical 2014 Set 3 | GA Question: 4
Which number does not belong in the series below? $2$, $5$, $10$, $17$, $26$, $37$, $50$, $64$ $17$ $37$ $64$ $26$

answered Mar 17, 2021 in Analytical Aptitude by Hira Thakur (310 points)

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Gate 2000 signals and systems

asked Mar 17, 2021 in Signals and Systems by Hanuma (120 points)

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GATE Electrical 2021 | Question: 1
Let $p$ and $q$ be real numbers such that $p^{2}+q^{2}=1$ . The eigenvalues of the matrix $\begin{bmatrix} p & q\\ q& -p \end{bmatrix}$are $1$ and $1$ $1$ and $-1$ $j$ and $-j$ $pq$ and $-pq$

answered Mar 17, 2021 in Linear Algebra by shreekant98 (280 points)

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GATE Electrical 2014 Set 3 | Question: 30
The power delivered by the current source, in the figure, is ________.

answered Mar 17, 2021 in Electric Circuits by shreekant98 (280 points)

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GATE Electrical 2021 | Question: 38
Let $A$ be a $10\times10$ matrix such that $A^{5}$ is a null matrix, and let $I$ be the $10\times10$ identity matrix. The determinant of $\text{A+I}$ is ___________________.

answered Mar 17, 2021 in Linear Algebra by shreekant98 (280 points)

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GATE Electrical 2021 | Question: 2
Let $p\left ( z\right )=z^{3}+\left ( 1+j \right )z^{2}+\left ( 2+j \right )z+3$, where $z$ ... $p\left ( z \right )=0$ come in conjugate pairs All the roots cannot be real

asked Feb 20, 2021 in Complex Variables by Arjun (7.8k points)

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GATE Electrical 2021 | Question: 3
Let $f\left ( x \right )$ be a real-valued function such that ${f}'\left ( x_{0} \right )=0$ for some $x _{0} \in\left ( 0,1 \right ),$ and ${f}''\left ( x \right )> 0$ for all $x \in \left ( 0,1 \right )$ ... $(0,1)$ one local maximum in $(0,1)$ exactly one local minimum in $(0,1)$ two distinct local minima in $(0,1)$

asked Feb 20, 2021 in Calculus by Arjun (7.8k points)

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GATE Electrical 2021 | Question: 4
For the network shown, the equivalent Thevenin voltage and Thevenin impedance as seen across terminals ‘$\text{ab}$’ is $\text{10 V}$ in series with $12\:\Omega$ $\text{65 V}$ in series with $15\:\Omega$ $\text{50 V}$ in series with $2\:\Omega$ $\text{35 V}$ in series with $2\:\Omega$

asked Feb 20, 2021 in new by Arjun (7.8k points)

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GATE Electrical 2021 | Question: 5
Which one of the following vector functions represents a magnetic field $\overrightarrow{B}$? $\text{($\hat{X}, \hat{Y}$ and $\hat{Z}$ are unit vectors along x-axis, y-axis, and z-axis, respectively)}$ $10x\hat{X}+20y\hat{Y}-30z\hat{Z}$ $10y\hat{X}+20x\hat{Y}-10z\hat{Z}$ $10z\hat{X}+20y\hat{Y}-30x\hat{Z}$ $10x\hat{X}-30z\hat{Y}+20y\hat{Z}$

asked Feb 20, 2021 in Calculus by Arjun (7.8k points)

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GATE Electrical 2021 | Question: 6
If the input $x(t)$ and output $y(t)$ of a system are related as $y\left ( t \right )=\text{max}\left ( 0,x\left ( t \right ) \right ),$ then the system is linear and time-variant linear and time-invariant non-linear and time-variant non-linear and time-invariant

asked Feb 20, 2021 in new by Arjun (7.8k points)

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GATE Electrical 2021 | Question: 7
Two discrete-time linear time-invariant systems with impulse responses $h_{1}\left [ n \right ]=\delta \left [ n-1 \right ]+\delta \left [ n+1 \right ]$ and $h_{2}\left [ n \right ]=\delta \left [ n\right ]+\delta \left [ n-1 \right ]$ are connected in ... $\delta \left [ n\right ]\delta \left [ n-1\right ]+\delta \left [ n-2\right ]\delta \left [ n+1 \right ]$

asked Feb 20, 2021 in new by Arjun (7.8k points)

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GATE Electrical 2021 | Question: 8
Consider the table given: ... $\text{P-T-Y, Q-V-Z, R-S-X}$ $\text{P-U-X, Q-V-Y, R-T-Z}$

asked Feb 20, 2021 in new by Arjun (7.8k points)

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GATE Electrical 2021 | Question: 9
Consider a power system consisting of $N$ number of buses. Buses in this power system are categorized into slack bus, $PV$ buses and $PQ$ buses for load flow study. The number of $PQ$ buses is $N_{L}$. The balanced Newton-Raphson method is used to carry out load flow study ... $\left ( N-1 \right )\times \left ( N-1+N_{L} \right )$

asked Feb 20, 2021 in new by Arjun (7.8k points)

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GATE Electrical 2021 | Question: 10
Two generators have cost functions $F_{1}$ and $F_{2}$ . Their incremental-cost characteristics are $\dfrac{dF_{1}}{dP_{1}}=40+0.2P_{1}$ $\dfrac{dF_{2}}{dP_{2}}=32+0.4P_{2}$ They need to deliver a combined load of $260$ $\text{MW}$. Ignoring the network losses, for ... $P_{1}=P_{2}=130$ $P_{1}=160, P_{2}=100$ $P_{1}=140, P_{2}=120$ $P_{1}=120, P_{2}=140$

asked Feb 20, 2021 in new by Arjun (7.8k points)

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GATE Electrical 2021 | Question: 11
For the closed-loop system shown, the transfer function $\dfrac{E\left ( s \right )}{R\left ( s \right )}$ is $\frac{G}{1+GH}$ $\frac{GH}{1+GH}$ $\frac{1}{1+GH}$ $\frac{1}{1+G}$

asked Feb 20, 2021 in new by Arjun (7.8k points)

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GATE Electrical 2021 | Question: 12
Inductance is measured by Schering bridge Maxwell bridge Kelvin bridge Wien bridge

asked Feb 20, 2021 in new by Arjun (7.8k points)

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GATE Electrical 2021 | Question: 13
Suppose the circles $x^{2}+y^{2}=1$ and $\left ( x-1\right )^{2}+\left ( y-1 \right )^{2}=r^{2}$ intersect each other orthogonally at the point $\left ( u,v \right )$. Then $u+v=$ _______________.

asked Feb 20, 2021 in Calculus by Arjun (7.8k points)

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GATE Electrical 2021 | Question: 14
In the given circuit, the value of capacitor $C$ that makes current $I=0$ is ________________ $\mu F$.

asked Feb 20, 2021 in new by Arjun (7.8k points)

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GATE Electrical 2021 | Question: 15
Two single-core power cables have total conductor resistances of $0.7\;\Omega$ and $0.5\;\Omega$, respectively, and their insulation resistances (between core and sheath) are $600\;M\Omega$ and $900\;M\Omega$, respectively. When the two cables are joined in series, the ratio of insulation resistance to conductor resistance is ___________$\times 10^{6}$.

asked Feb 20, 2021 in new by Arjun (7.8k points)

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38

GATE Electrical 2021 | Question: 16
In the given circuit, for voltage $V_y$ to be zero, the value of $\beta$ should be _________. (Round off to $2$ decimal places).

asked Feb 20, 2021 in new by Arjun (7.8k points)

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GATE Electrical 2021 | Question: 17
A $1\;\mu C$ point charge is held at the origin of a cartesian coordinate system. If a second point charge of $10\;\mu C$ is moved from $\left ( 0,10,0 \right )$ to $\left ( 5,5,5\right )$ and subsequently to $\left ( 5,0,0\right )$, ... decimal places). Take $\dfrac{1}{4\pi \varepsilon _{0}}=9\times 10^{9}$ in $\text{SI}$ units. All coordinates are in meters.

asked Feb 20, 2021 in new by Arjun (7.8k points)

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GATE Electrical 2021 | Question: 18
The power input to a $\text{500 V, 50 Hz, 6-pole, 3-phase}$ induction motor running at $975 \text{RPM}$ is $40 \text{ kW}$ . The total stator losses are $1 \text{ kW}$. If the total friction and windage losses are $2.025\text{ kW}$, then the efficiency is _____________$\%$.

asked Feb 20, 2021 in new by Arjun (7.8k points)

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