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1

GATE Electrical 2023 | GA Question: 1
Q.1 - Q.5 Carry ONE mark Each \begin{tabular}{|l|l|} \hline Q.1 & Rafi told Mary, "I am thinking of watching a film this weekend." \\ The following reports the above statement in indirect speech: \\ Rafi told Mary that he __ of ... & is thinking \\ \hline & am thinking \\ \hline & was thinking \\ \hline & \\ \hline \end{tabular}

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GATE Electrical 2023 | GA Question: 2
\begin{tabular}{|l|l|} \hline Q.2 & $\begin{array}{l}\text { Permit : } \\ \text { (By word meaning) }\end{array}$ \\ \hline & Allow Enforce : Relax \\ \hline & Forbid \\ \hline & License \\ \hline & Reinforce \\ \hline & \\ \hline \end{tabular}

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GATE Electrical 2023 | GA Question: 3
\begin{tabular}{|l|l|} \hline Q.3 & ... $\frac{1}{6}$ \\ \hline & $\frac{5}{6}$ \\ \hline & $\frac{1}{3}$ \\ \hline \end{tabular}

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4

GATE Electrical 2023 | GA Question: 4
\begin{tabular}{|l|l|} \hline Q.4 & ... stopped consuming tobacco. \\ \hline & Approximately $65 \%$ of tobacco users successfully stopped consuming tobacco. \\ \hline \end{tabular}

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5

GATE Electrical 2023 | GA Question: 5
\begin{tabular}{|l|l|} \hline Q.5 & How many triangles are present in the given figure? \\ \hline & \\ \hline & 12 \\ \hline & 16 \\ \hline & 20 \\ \hline & 24 \\ \hline \end{tabular}

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6

GATE Electrical 2023 | GA Question: 6

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7

GATE Electrical 2023 | GA Question: 7
\begin{tabular}{|l|l|} \hline Q.7 & Which one of the following options represents the given graph? \\ \hline & $f(x)$ \\ \hline & $f(x)=x^{2} 2^{-|x|}$ \\ \hline & $f(x)=x 2^{-|x|}$ \\ \hline & $f(x)=|x| 2^{-x}$ \\ \hline \end{tabular}

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GATE Electrical 2023 | GA Question: 8
\begin{tabular}{|l|l|} \hline Q.8 & ... \\ \hline \end{tabular}

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9

GATE Electrical 2023 | GA Question: 9
\begin{tabular}{|l|l|} \hline Q.9 & The digit in the unit's place of the product $3^{999} \times 7^{1000}$ is \\ \hline & 7 \\ \hline & 1 \\ \hline & 3 \\ \hline & 9 \\ \hline \end{tabular}

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10

GATE Electrical 2023 | GA Question: 10

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11

GATE Electrical 2023 | Question: 1

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12

GATE Electrical 2023 | Question: 2

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13

GATE Electrical 2023 | Question: 3

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14

GATE Electrical 2023 | Question: 4

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15

GATE Electrical 2023 | Question: 5

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16

GATE Electrical 2023 | Question: 6
\begin{tabular}{|l|l|} Q.16 & ... ; $95 \mathrm{~Hz}$ \\ \hline & $10 \mathrm{~Hz}$ \\ \hline & $5 \mathrm{~Hz}$ \\ \hline \end{tabular}

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17

GATE Electrical 2023 | Question: 7
\begin{tabular}{|l|l|} \hline Q.17 & ... $2 e^{-3 t} u(t)$ \\ \hline & $2 e^{-3 t}$ \\ \hline \end{tabular}

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18

GATE Electrical 2023 | Question: 8

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19

GATE Electrical 2023 | Question: 9
\begin{tabular}{|l|l|} \hline Q.19 & The $Z$-transform of a discrete signal $x[n]$ is \\ & $X(z)=\frac{4 z}{\left(z-\frac{1}{5}\right)\left(z-\frac{2}{3}\right)(z-3)}$ with $R O C=R$ \\ Which one of the following statements is ... $ is $|z|>3$ \\ \hline & Discrete-time Fourier transform of $\mathrm{x}[\mathrm{n}]$ converges if $R$ is $\frac{2}{3}

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20

GATE Electrical 2023 | Question: 10

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21

GATE Electrical 2023 | Question: 11
\begin{tabular}{|l|l|} \hline Q.21 & ... $F$ will decrease \\ \hline & Both $P_{G 1}$ and $F$ will decrease \\ \hline \end{tabular}

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22

GATE Electrical 2023 | Question: 12

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23

GATE Electrical 2023 | Question: 13

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24

GATE Electrical 2023 | Question: 14

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25

GATE Electrical 2023 | Question: 15

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26

GATE Electrical 2023 | Question: 16
Q.26 A semiconductor switch needs to block voltage $V$ of only one polarity $(V>0)$ during OFF state as shown in figure (i) and carry current in both directions during ON state as shown in figure (ii). Which of the following switch combination(s) will realize the same? (A)

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27

GATE Electrical 2023 | Question: 17
\begin{tabular}{|l|l|} \hline Q.27 & Which of the following statement(s) is/are true? \\ \hline & If an LTI system is causal, it is stable \\ \hline & $\begin{array}{l}\text { A discrete time LTI system is causal if and only if its response to a step input } u[n] \\ \text { is } 0 \text { for } n

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28

GATE Electrical 2023 | Question: 18

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29

GATE Electrical 2023 | Question: 19
\begin{tabular}{|l|l|l|l|l} \hline Q.29 & $\begin{array}{l}\text { The value of parameters of the circuit shown in the figure are } \\ \qquad R_{1}=2 \Omega, R_{2}=2 \Omega, R_{3}=3 \Omega, L=10 \mathrm{mH}, C=100 \mu \mathrm{F} \\ \text { For time } t

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30

GATE Electrical 2023 | Question: 20
\begin{tabular}{|l|l|} \hline Q.30 & ... \\ \hline & (Round off \\ \hline \end{tabular}

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31

GATE Electrical 2023 | Question: 21

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32

GATE Electrical 2023 | Question: 22
Q.32 For the circuit shown in the figure, $V_{1}=8 \mathrm{~V}, \mathrm{DC}$ and $I_{1}=8 \mathrm{~A}, \mathrm{DC}$. The voltage $V_{a b}$ in Volts is (Round off to 1 decimal place).

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33

GATE Electrical 2023 | Question: 23
\begin{tabular}{|l|l|} \hline Q.33 & A $50 \mathrm{~Hz}, 275 \mathrm{kV}$ line of length $400 \mathrm{~km}$ has the following parameters: \\ Resistance, $R=0.035 \Omega / \mathrm{km} ;$ ... to be delivered to the receiving end, in degree is \\ (Round off to 2 decimal places). \\ \hline & \\ \hline \end{tabular}

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34

GATE Electrical 2023 | Question: 24
\begin{tabular}{|l|l|} \hline Q.34 & $\begin{array}{l}\text { In the following differential equation, the numerically obtained value of } y(t), \text { at } t=1, \\ \text { is }\end{array}$ \\ \hline$\frac{d y}{d t}=\frac{e^{-\alpha t}}{2+\alpha t}, \quad \alpha=0.01$ and $y(0)=0$ \\ \hline & \\ \hline \end{tabular}

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35

GATE Electrical 2023 | Question: 25
\begin{tabular}{|l|l|} \hline Q.35 & $\begin{array}{l}\text { Three points in the } x-y \text { plane are }(-1,0.8),(0,2.2) \text { and }(1,2.8) . \text { The value of the slope } \\ \text { of the best fit straight line in the least square sense is } \\ 2 \text { decimal places). }\end{array}$ \\ (Round off to \\ \hline \end{tabular}

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36

GATE Electrical 2023 | Question: 26
\begin{tabular}{|l|l|l|} \hline Q.36 & $\begin{array}{l}\text { The magnitude and phase plots of an LTI system are shown in the figure. The } \\ \text { transfer function of the system is }\end{array}$ \\ \hline & & \\ \hline \end{tabular}

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37

GATE Electrical 2023 | Question: 27

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38

GATE Electrical 2023 | Question: 28
\begin{tabular}{|l|l|} \hline Q.38 & ... \\ \hline & 2,4 \\ \hline & 3,5 \\ \hline & $2.66,2.25$ \\ \hline & \\ \hline \end{tabular}

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39

GATE Electrical 2023 | Question: 29

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40

GATE Electrical 2023 | Question: 30

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