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GATE 2024 Electrical | GA Question: 1
If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words [talk $\rightarrow$ shout $\rightarrow$ scream] is analogous to [please $\rightarrow$ __________ $\rightarrow$ pander]. Which one of the given options is appropriate to fill the blank? flatter flutter fritter frizzle
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GATE Electrical 2024 | Question: 2
The number of junctions in the circuit is $6$ $7$ $8$ $9$
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GATE 2024 Electrical | GA Question: 7
In the following figure, \[ \begin{array}{c} \mathrm{CD}=5 \mathrm{~cm}, \mathrm{BE}=10 \mathrm{~cm}, \mathrm{AE}=12 \mathrm{~cm}, \\ \angle \mathrm{DAB}=\angle \mathrm{DCB} \text {, and } \angle \mathrm{DAE}=\angle \mathrm{DBC}=90^{\circ} \end ... } \] Points $\text{AFCD}$ create a rhombus. The length of $\mathrm{BF}$ (in $\mathrm{cm}$ ) is $3$ $2$ $4$ $6$
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GATE Electrical 2024 | Question: 36
For a two-phase network, the phase voltages $V_{p}$ and $V_{q}$ are to be expressed in terms of sequence voltages $V_{\alpha}$ and $V_{\beta}$ ... $\left[\begin{array}{cc}-1 & 1 \\ 1 & 1\end{array}\right]$
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GATE 2024 Electrical | GA Question: 2
$\text{P}$ and $\text{Q}$ have been allotted a hostel room with two beds, a study table, and an almirah. $\mathrm{P}$ is an avid bird-watcher and wants to sit at the table and watch birds outside the window. $\text{Q}$ does not mind that as long as his bed is close to the ceiling fan. Which one of the following arrangements suits them the most?
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GATE Electrical 2024 | Question: 3
All the elements in the circuit are ideal. The power delivered by the $10 \mathrm{~V}$ source in watts is $0$ $50$ $100$ dependent on the value of $\alpha$
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GATE Electrical 2024 | Question: 27
The input $x(t)$ and the output $y(t)$ of a system are related as \[ y(t)=e^{-t} \int_{-\infty}^{t} e^{\tau} x(\tau) d \tau, \quad-\infty < t < \infty. \] The system is nonlinear. linear and time-invariant. linear but not time-invariant. noncausal.
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GATE Electrical 2024 | Question: 1
Which one of the following matrices has an inverse? $\left[\begin{array}{ccc}1 & 4 & 8 \\ 0 & 4 & 2 \\ 0.5 & 2 & 4\end{array}\right]$ ... $\left[\begin{array}{ccc}1 & 4 & 8 \\ 0 & 4 & 2 \\ 3 & 12 & 24\end{array}\right]$
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GATE Electrical 2024 | Question: 8
Which one of the following options represents possible voltage polarities in a single phase two winding transformer? Here, $V_{p}$ is the applied primary voltage, $E_{p}$ is the induced primary voltage, $V_{s}$ is the open circuit secondary voltage, and $E_{s}$ is the induced secondary voltage.
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GATE 2024 Electrical | GA Question: 6
In the given text, the blanks are numbered $\text{(i)-(iv)}$. Select the best match for all the blanks. Following a row $\text{(i)}$ the shopkeeper $\text{(ii)}$_the price of a frying pan, the cook stood $\text{(iii)}$ a row to withdraw cash $\text{(iv)}$ ... $\text{(iv)}$ at $\text{(i)}$ over $\text{(ii)}$ with $\text{(iii)}$ over $\text{(iv)}$ at
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GATE Electrical 2024 | Question: 20
Which of the following complex functions is/are analytic on the complex plane? $f(z)=j \operatorname{Re}(z)$ $f(z)=\operatorname{Im}(z)$ $f(z)=e^{|z|}$ $f(z)=z^{2}-z$
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GATE 2024 Electrical | GA Question: 3
The decimal number system uses the characters $0,1,2, \ldots, 8,9$, and the octal number system uses the characters $0,1,2, \ldots, 6,7$. For example, the decimal number $12\left(=1 \times 10^{1}+2 \times 10^{0}\right)$ is expressed ... $108$ in the octal number system is $168$ $108$ $150$ $154$
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GATE 2024 Electrical | GA Question: 10
A surveyor has to measure the horizontal distance from her position to a distant reference point $\text{C}$. Using her position as the center, a $200 \mathrm{~m}$ horizontal line segment is drawn with the two endpoints $\text{A}$ ... $\mathrm{m}$ ) of the reference point $\mathrm{C}$ from her position is nearest to $2603$ $2606$ $2306$ $2063$
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GATE 2024 Electrical | Question: 4
A shopkeeper buys shirts from a producer and sells them at $20 \%$ profit. A customer has to pay ₹ $3,186.00$ including $18 \%$ taxes, per shirt. At what price did the shopkeeper buy each shirt from the producer? ₹ $2,500.00$ ₹ $1,975.40$ ₹ $2,250.00$ ₹ $2,548.80$
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GATE Electrical 2024 | Question: 6
If $u(t)$ is the unit step function, then the region of convergence $\text{(ROC)}$ of the Laplace transform of the signal \[ x(t)=e^{t^{2}}[u(t-1)-u(t-10)] \] is $-\infty<\operatorname{Re}(s)<\infty$ $\operatorname{Re}(s) \geq 10$ $\operatorname{Re}(s) \leq 1$ $1 \leq \operatorname{Re}(s) \leq 10$
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GATE Electrical 2024 | Question: 33
Let $f(t)$ be a real-valued function whose second derivative is positive for $-\infty < t < \infty.$ Which of the following statements is/are always true? $f(t)$ has at least one local minimum. $f(t)$ cannot have two distinct local minima. $f(t)$ has at least one local maximum. The minimum value of $f(t)$ cannot be negative.
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GATE Electrical 2024 | Question: 5
Suppose signal $y(t)$ is obtained by the time-reversal of signal $x(t)$, i.e., $y(t)=x(-t),-\infty<t<\infty$. Which one of the following options is always true for the convolution of $x(t)$ and $y(t)$? It is an even signal. It is an odd signal. It is a causal signal. It is an anti-causal signal.
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GATE Electrical 2024 | Question: 19
Let $\text{X}$ be a discrete random variable that is uniformly distributed over the set $\{-10,-9, \cdots, 0, \cdots, 9,10\}$. Which of the following random variables is/are uniformly distributed? $X^{2}$ $X^{3}$ $(X-5)^{2}$ $(X+10)^{2}$
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GATE Electrical 2024 | Question: 15
In the circuit, the present value of $Z$ is $1$. Neglecting the delay in the combinatorial circuit, the values of $S$ and $Z$, respectively, after the application of the clock will be $S=0, Z=0$ $S=0, Z=1$ $S=1, Z=0$ $S=1, Z=1$
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GATE 2024 Electrical | GA Question: 8
The chart below shows the data of the number of cars bought by Millennials and Gen $\text{X}$ people in a country from the year $2010$ to $2020$ as well as the yearly fuel consumption of the country (in Million liters). Considering the data ... buyers from $2015$ to $2020$ is more than the increase in the number of Millennial car buyers from $2010$ to $2015$.
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