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Previous GATE
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1
Gate2006EE
...
asked
Sep 29
in
Linear Algebra
by
Kushagra गुप्ता
(
120
points)
gate2006ee
linearalgebra
0
votes
1
answer
2
GATE2019 EE: GA2
The passengers were angry ______ the airline staff about the delay. on about with towards
asked
Feb 12
in
Verbal Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
verbalability
prepositions
0
votes
1
answer
3
GATE2019 EE: GA1
I am not sure if the bus that has been booked will be able to ______ all the students. sit deteriorate fill accommodate
asked
Feb 12
in
Verbal Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
verbalability
mostappropriateword
0
votes
1
answer
4
GATE2019 EE: GA5
Newspapers are a constant source of delight and recreation for me. The ________ trouble is that I read _______ many of them. even, quite even, too only, quite only, too
asked
Feb 12
in
Verbal Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
verbalability
mostappropriateword
0
votes
1
answer
5
GATE2019 EE: 2
$M$ is $2 \times 2$ matrix with eigenvalues $4$ and $9.$ The eigenvalues of $M^{2}$ are $4$ and $9$ $2$ and $3$ $2$ and $3$ $16$ and $81$
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
1
answer
6
GATE2019 EE: 24
The rank of the matrix, $M = \begin{bmatrix} 0 &1 &1 \\ 1& 0 &1 \\ 1& 1 & 0 \end{bmatrix}$, is ______________.
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
numericalanswers
0
votes
0
answers
7
GATE2019 EE: 39
If $\textbf{A}= 2x \textbf{i} + 3y \textbf{j} +4z \textbf{k}$ and $u=x^2+y^2+z^2$, then $\text{div} \big(u \textbf{A} \big)$ at $(1,1,1)$ is _______
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
numericalanswers
0
votes
0
answers
8
GATE2019 EE: GA8
An awardwinning study by a group of researchers suggests that men are as prone to buying on impulse as women but women feel more guilty about shopping. which one of the following statements can be inferred from the given text? Some men and women indulge ... indulge in buying on impulse Few men and women indulge in buying on impulse Many men and women indulge in buying on impulse
asked
Feb 12
in
Verbal Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
verbalability
passagereading
0
votes
0
answers
9
GATE2019 EE: 20
A coaxial Cylindrical capacitor is shown in the Figure(i) has dielectric with relative permittivity $\varepsilon_{r1} = 2$. When one – fourth portion of the dielectric is replaced with another dielectric of relative permittivity $\varepsilon_{r2}$, as shown in the Figure(ii), the capacitance is doubled. The value of $\varepsilon_{r2}$ is _________.
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
numericalanswers
0
votes
0
answers
10
GATE2019 EE: GA10
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
asked
Feb 12
in
Verbal Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
verbalability
verbalreasoning
0
votes
0
answers
11
GATE2019 EE: GA3
The missing number in the given sequence $343,1331,$_____$,4913$ is $3375$ $2744$ $2197$ $4096$
asked
Feb 12
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
numericalability
sequenceseries
0
votes
0
answers
12
GATE2019 EE: GA4
It takes two hours for a person $X$ to mow the lawn. $Y$ can mow the same lawn in four hours. How long (in minutes) will it take $X$ and $Y,$ if they work together to mow the lawn$?$ $60$ $80$ $90$ $120$
asked
Feb 12
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
numericalability
worktime
0
votes
0
answers
13
GATE2019 EE: 49
A threephase $50$ Hz, $400$ kV transmission line is $300$ km long. The line inductance is $1$ mH/km per phase, and the capacitance is $0.01 \: \mu F/km$ per phase. The line is under open circuit condition at the receiving end and energized with $400$ kV at the sending end, the receiving end line voltage in kV (round off to two decimal places) will be _________
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
numericalanswers
0
votes
0
answers
14
GATE2019 EE: 28
A periodic function $f(t)$, with a period of $2 \pi$, is represented as its Fourier series, $f(t) = a_0 + \sum_{n=1}^{\infty }a_n \cos nt + \sum_{n=1}^{\infty} b_n \sin nt.$ ... $a_1 = \frac{A}{2}; \: b_1 = 0$ $a_1 = 0; \: b_1 = \frac{A}{\pi}$ $a_1 = 0;b_1 = \frac{A}{2}$
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
15
GATE2019 EE: GA6
How many integers are there between $100$ and $1000$ all of whose digits are even? $60$ $80$ $100$ $90$
asked
Feb 12
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
numericalability
arithmeticseries
0
votes
0
answers
16
GATE2019 EE: 21
The $Y_{\text{bus}}$ matrix of a twobus power system having two identical parallel lines connected between them in pu is given as $Y_{\text{bus}} = \begin{bmatrix} j8 & j20 \\ j20& j8 \end{bmatrix}$The magnitude of the series reactance of each line in pu (round off upto one decimal place) is__________.
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
numericalanswers
0
votes
0
answers
17
GATE2019 EE: GA9
Given two sets $X=\{1,2,3\}$ and $Y=\{2,3,4\},$ we construct a set $Z$ of all possible fractions where the numerators belong to set $X$ and the denominators belong to set $Y.$ The product of elements having minimum and maximum values in the set $Z$ is _____. $1/12$ $1/8$ $1/6$ $3/8$
asked
Feb 12
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
numericalability
sets
0
votes
0
answers
18
GATE2019 EE: 10
The parameter of an equivalent circuit of a threephase induction motor affected by reducing the rms value of the supply voltage at the rated frequency is rotor resistance rotor leakage reactance magnetizing reactance stator resistance
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
19
GATE2019 EE: 33
The enhancement type MOSFET in the circuit below operates according to the square law. $\mu _nC_{ox} =100 \: \mu A /V^2$, the threshold voltage $(V_T)$ is $500$ mV. Ignore channel length modulation. The output voltage $V_{\text{out}}$ is $100$ mV $500$ mV $600$ mV $2$ V
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
20
GATE2019 EE: 45
A singlephase transformer of rating $25$ kVA, supplies a $12$ kW load at power factor of $0.6$ lagging. The additional load at unity power factor in kW (round off to two decimal places) that may be added before this transformer exceeds its rated kVA is ________
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
numericalanswers
0
votes
0
answers
21
GATE2019 EE: 19
The current $I$ is flowing in the circuit shown below in amperes (round off to one decimal place) is _________
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
numericalanswers
0
votes
0
answers
22
GATE2019 EE: GA7
The ration of the number of boys and girls who participated in an examination is $4:3.$ The total percentage of candidates who passed the examination is $80$ and the percentage of girls who passed the exam is $90.$ The percentage of boys who passed is _______. $55.50$ $72.50$ $80.50$ $90.00$
asked
Feb 12
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
numericalability
ratioproportion
percentage
0
votes
0
answers
23
GATE2019 EE: 27
The closedloop line integral $\underset{\mid z \mid = 5}{\oint} \frac{z^3 + z^2 + 8}{z+2}dz$ evaluated Counterclockwise, is $+8 j \pi$ $8 j \pi$ $4 j \pi$ $+4 j \pi$
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
24
GATE2019 EE: 25
The output voltage of a singlephase fullbridge voltage source inverter is controlled by unipolar PWM with one pulse per half cycle. For the fundamental rms Component of the output voltage to be $75 \%$ of DC voltage, the required pulse width in degrees (round off up to one decimal place) is ___________.
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
numericalanswers
0
votes
0
answers
25
GATE2019 EE: 37
A DCDC buck converter operates in continuous conduction mode. It has $48$ V input voltage, and it feeds a resistive load of $24 \: \Omega$. The switching frequency of the converter is $250$ Hz. If switchon duration is $1$ ms, the load power is $6$ W $12$ W $24$ W $48$ W
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
26
GATE2019 EE: 26
Consider a $2\times 2$ matrix $M=\begin{bmatrix} v_1 & v_2 \end{bmatrix}$, where $v_1$ and $v_2$ are the column vectors. Suppose $M^{1}=\begin{bmatrix} u_1^T \\ u_2^T \end{bmatrix}$, where $u_1^T$ and $u_2^T$ are the row vecotrs. ... $2$ is false Statement $2$ is true and Statement $1$ is false Both the Statements are true Both the statements are false
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
27
GATE2019 EE: 17
A current controlled current source (CCCS) has an input impedance of $10 \: \Omega$ and output impedance of $100 \: k\Omega$. When this CCCS is used in a negative feedback closed loop with a loop gain of $9$, the closed loop output impedance is $10 \: \Omega$ $100 \: \Omega$ $100 \: k \Omega$ $1000 \: k \Omega$
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
28
GATE2019 EE: 12
In the circuit shown below, the switch is closed at $t=0$. The value of $\theta$ in degrees which will give the maximum value of DC offset of the current at the time of switching is $60$ $45$ $90$ $30$
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
29
GATE2019 EE: 1
The inverse Laplace transform of $H(s)=\frac{s+3}{s^{2}+2s+1}$ for $t \geq0$ $3te^{t}+e^{t}$ $3e^{t}$ $2te^{t}+e^{t}$ $4te^{t}+e^{t}$
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
30
GATE2019 EE: 41
A $0.1 \mu F$ capacitor charged to $100$ V is discharged through a $1 \: k \Omega$ resistor. The time in ms (round off to two decimal places) required for the voltage across the capacitor to drop to $1$ V is _________
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
numericalanswers
0
votes
0
answers
31
GATE2019 EE: 8
A $5kVA, 50V/100V,$ singlephase transformer has a secondary terminal voltage of $95V$ when loaded. The regulation of the transformer is $4.5\%$ $9\%$ $5\%$ $1\%$
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
32
GATE2019 EE: 4
Which one of the following functions is analytic in the region $\mid z \mid \leq 1$ ? $\frac{z^{2}1}{z} \\ $ $\frac{z^{2}1}{z+2} \\ $ $\frac{z^{2}1}{z0.5} \\ $ $\frac{z^{2}1}{z+j0.5} $
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
33
GATE2019 EE: 5
The meansquare of a zeromean random process is $\frac{kT}{c},$ where $k$ is Boltzmann’s constant, $T$ is the absolute temperature, and $C$ is a capacitance. The standard deviation of the random process is $\frac{kT}{c} \\ $ $\sqrt{\frac{kT}{c}} \\ $ $\frac{c}{kT} \\ $ $\frac{\sqrt{kT}}{c}$
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
34
GATE2019 EE: 51
In the single machine infinite bus system shown below, the generator is delivering the real power of $0.8$ pu at $0.8$ power factor lagging to the infinite bus. The power angle of the generator in degrees (round off to one decimal place) is _________
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
numericalanswers
0
votes
0
answers
35
GATE2019 EE: 46
A $220$ V DC shunt motor takes $3$ A at noload. It draws $25$ A when running at fullload at $1500$ rpm. The armature and shunt resistance are $0.5 \: \Omega$ and $220 \: \Omega$, respectively. The noload speed in rpm (round off to two decimal places) is _____.
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
numericalanswers
0
votes
0
answers
36
GATE2019 EE: 22
Five alternators each rated $5$ MVA, $13.2$ kV with $25 \%$ of reactance on its own base are connected in parallel to a busbar. The short circuit level in MVA at the busbar is ____________
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
numericalanswers
0
votes
0
answers
37
GATE2019 EE: 11
A threephase synchronous motor draws $200 A$ from the line at unity power factor at rated load. Considering the same line voltage and load, the line current at a power factor of $0.5$ leading is $100 \: A$ $200 \: A$ $300 \: A$ $400 \: A$
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
38
GATE2019 EE: 6
A system transfer function is $H(s)= \frac{a_{1}s^{2}+b_{1}s+c_{1}}{a_{2}s^{2}+b_{2}s+c_{2}}.$ If $a_{1}=b_{1}=0,$ and all the other coefficient are positive, the transfer function represents a low pass filter high pass filter band pass filter notch filter
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
39
GATE2019 EE: 43
The voltage across and the current through a load are expressed as follows $v(t)=170 \sin \bigg( 377t \frac{\pi}{6} \bigg) V$ $i(t) =8 \cos \bigg( 377t + \frac{\pi}{6} \bigg) A$ The average power in watts (round off to one decimal place) consumed by the load is _________.
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
numericalanswers
0
votes
0
answers
40
GATE2019 EE: 13
The output response of a system is denoted as $y(t)$, and its Laplace transform is given by $Y(s)=\frac{10}{s(s^{2}+s+100 \sqrt{2})}$ The steady state value of $y(t)$ is $\frac{1}{10 \sqrt{2}} \\ $ $10 \sqrt{2} \\ $ $\frac{1}{100 \sqrt{2}} \\ $ $100 \sqrt{2}$
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
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