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Previous GATE
0
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1
GATE2018GA5
Functions $F(a,b)$ and $G(a,b)$ are defined as follows: $F(a,b)=(ab)^{2}$ and $G(a,b)=\mid ab\mid ,$ where $\mid x\mid$ represents the absolute value of $x.$ What would be the value of $G(F(1,3),G(1,3))?$ $2$ $4$ $6$ $36$
asked
Feb 19, 2018
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2018ee
generalaptitude
numericalability
functions
0
votes
0
answers
2
GATE2015129
Two players, $A$ and $B$, alternately keep rolling a fair dice. The person to get a six first wins the game. Given that player $A$ starts the game, the probability that $A$ wins the game is $5/11$ $1/2$ $7/13$ $6/11$
asked
Feb 12, 2017
in
Probability & Statistics
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
events
population
0
votes
0
answers
3
GATE2014353
A threephase fully controlled bridge converter is fed through stardelta transformer as shown in the figure. The converter is operated at a firing angle of $300$. Assuming the load current ($I_0)$ to be virtually constant at $1$ $p.u$. and transformer to be an ideal one, the input phase current waveform is
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.3k
points)
gate2014ee3
starconnection
deltaconnection
0
votes
1
answer
4
GATE201428
A parallel plate capacitor consisting two dielectric materials is shown in the figure. The middle dielectric slab is placed symmetrically with respect to the plates. If the potential difference between one of the plates and the nearest surface of dielectric interface is $2$ $Volts$, then the ratio $ε_1$ : $ε_2$ is $1:4$ $2:3$ $3:2$ $4:1$
asked
Feb 12, 2017
in
Electromagnetic Fields
by
makhdoom ghaya
(
9.3k
points)
gate2014ee2
dielectric
potentialdifference
0
votes
0
answers
5
GATE2017255
A thin soap bubble of radius $R=1$ cm, and thickness $a=3.3 \mu m (a << R)$, is at a potential of $1$ V with respect to a reference point at infinity. The bubble bursts and becomes a single spherical drop of a soap (assuming ... , of the resulting single spherical drop with respect to the same reference point at infinity is _________. (Give the answer up to two decimal places.)
asked
Feb 27, 2017
in
new
by
Arjun
(
5.4k
points)
gate2017ee2
numericalanswers
0
votes
1
answer
6
GATE2018GA10
$P, Q, R,$ and $S$ crossed a lake in a boat that can hold a maximum of two persons, with only one set of oars. The following additional facts are available. The boat held two persons on each of the three forward trips across the lake and one person on each of the two ... $P$ $Q$ $R$ $S$
asked
Feb 19, 2018
in
Verbal Ability
by
Arjun
(
5.4k
points)
gate2018ee
generalaptitude
verbalability
verbalreasoning
0
votes
0
answers
7
GATE2015234
For linear time invariant systems, that are Bounded Input Bounded Output stable, which one of the following statements is TRUE? The impulse response will be integrable, but may not be absolutely integrable. The unit impulse response will have finite support. The unit step response will be absolutely integrable. The unit step response will be bounded
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.3k
points)
gate2015ee2
impulseresponse
unitstepresponse
0
votes
0
answers
8
GATE2014146
A system matrix is given as follows. $A=\begin{bmatrix} 0 & 1 & 1\\ 6 & 11 &6 \\ 6& 11& 5 \end{bmatrix}$ The absolute value of the ratio of the maximum eigenvalue to the minimum eigenvalue is _______
asked
Feb 12, 2017
in
Linear Algebra
by
makhdoom ghaya
(
9.3k
points)
gate2014ee1
linearalgebra
eigenvalues
eigenmatrix
numericalanswers
0
votes
0
answers
9
GATE2014123
The magnitude of the midband voltage gain of the circuit shown in figure is $($assuming $h_{fe}$ of the transistor to be $100)$ $1$ $10$ $20$ $100$
asked
Feb 12, 2017
in
Electrical and Electronic Measurements
by
makhdoom ghaya
(
9.3k
points)
gate2014ee1
voltagegain
midbandvotage
0
votes
0
answers
10
GATE2014252
In an $8085$ microprocessor, the following program is executed Address location – Instruction 2000H XRA A 2001H MVI B,04H 2003H MVI A, 03H 2005H RAR 2006H DCR B 2007H JNZ 2005 200AH HLT At the end of program, register A contains $60H$ $30H$ $06H$ $03H$
asked
Feb 12, 2017
in
Electrical and Electronic Measurements
by
makhdoom ghaya
(
9.3k
points)
gate2014ee2
registers
programming
0
votes
0
answers
11
GATE2015150
A $200/400$ V, $50$ Hz, twowinding transformer is rated at $20$ kVA. Its windings are connected as an autotransformer of rating $200/600$ V. A resistive load of $12 \Omega$ is connected to the high voltage ($600$ V) side of the autotransformer. The value of equivalent load resistance (in Ohm) as seen from low voltage side is _________.
asked
Feb 12, 2017
in
new
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
twowinding
transformer
autotransformer
numericalanswers
0
votes
0
answers
12
GATE2016154
The circuit below is excited by a sinusoidal source. The value of $R$, in $\Omega$, for which the admittance of the circuit becomes a pure conductance at all frequencies is _____________.
asked
Jan 30, 2017
in
Electrical Circuits
by
makhdoom ghaya
(
9.3k
points)
gate2016ee1
capacitance
inductance
sinusoidalsource
numericalanswers
0
votes
0
answers
13
GATE2018GA6
An email password must contain three characters. The password has to contain one numeral from $0$ to $9,$ one upper case and one lower case character from the English alphabet. How many distinct passwords are possible$?$ $6,760$ $13,520$ $40,560$ $1,05,456$
asked
Feb 19, 2018
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2018ee
generalaptitude
numericalability
permutationandcombination
counting
0
votes
0
answers
14
GATE201343
The following arrangement consists of an ideal transformer and an attenuator which attenuates by a factor of $0.8$. An ac voltage $V_{WX1}=100V$ is applied across $WX$ to get an open circuit voltage $Y_{YZ1} $ across $YZ$. Next, an ac voltage$V_{YZ2}=100V$ ... respectively, $125/100$ and $80/100$ $100/100$ and $80/100$ $100/100$ and $100/100$ $80/100$ and $80/100$
asked
Feb 12, 2017
in
Electrical Machines
by
piyag476
(
1.5k
points)
gate2013ee
turnratio
primary
secondary
0
votes
0
answers
15
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 13, 2019
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
16
GATE2017249
For the synchronous sequential circuit shown below, the output $Z$ is zero for the initial conditions $Q_{A}, Q_{B}, Q_{C}= Q'_{A}, Q'_{B}, Q'_{C}=100$ The minimum number of clock cycles after which the output $Z$ would again become zero is _________.
asked
Feb 27, 2017
in
new
by
Arjun
(
5.4k
points)
gate2017ee2
numericalanswers
0
votes
0
answers
17
GATE2017224
The nominal $\pi$ circuit of a transmission line is shown in the figure. Impedance $Z=100 \angle 80^{\circ} \Omega$ and reactance $X=3300 \Omega$. The magnitude of the characteristic impedance of the transmission line, in $\Omega$, is __________. (Give the answer up to one decimal place.)
asked
Feb 27, 2017
in
new
by
Arjun
(
5.4k
points)
gate2017ee2
numericalanswers
0
votes
1
answer
18
GATE201358
Complete the sentence: Dare _______________ mistakes. commit to commit committed committing
asked
Feb 12, 2017
in
Verbal Ability
by
piyag476
(
1.5k
points)
gate2013ee
verbalability
grammar
vocabulary
0
votes
1
answer
19
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 13, 2019
in
Verbal Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
verbalability
mostappropriateword
0
votes
0
answers
20
GATE2015136
A parallel plate capacitor is partially filled with glass of dielectric constant $4.0$ as shown below. The dielectric strengths of air and glass are $30$ kV/cm and $300$ kV/cm, respectively. The maximum voltage (in kilovolts), which can be applied across the capacitor without any breakdown, is ______.
asked
Feb 12, 2017
in
Electromagnetic Fields
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
dielectric
parallelplatecapacitor
numericalanswers
0
votes
0
answers
21
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 13, 2019
in
new
by
Arjun
(
5.4k
points)
gate2019ee
numericalanswers
0
votes
0
answers
22
GATE201714
A solid iron cylinder is placed in a region containing a uniform magnetic field such that the cylinder axis is parallel to the magnetic field direction. The magnetic field lines inside the cylinder will Bend closer to the cylinder axis Bend farther away from the axis Remain uniform as before Cease to exist inside the cylinder
asked
Feb 27, 2017
in
new
by
Arjun
(
5.4k
points)
gate2017ee1
0
votes
0
answers
23
GATE2014118
The root locus of a unity feedback system is shown in the figure The closed loop transfer function of the system is $\frac{C(s)}{R(s)}=\frac{K}{(s+1)(s+2)}$ $\frac{C(s)}{R(s)}=\frac{K}{(s+1)(s+2)+K}$ $\frac{C(s)}{R(s)}=\frac{K}{(s+1)(s+2)K}$ $\frac{C(s)}{R(s)}=\frac{K}{(s+1)(s+2)+K}$
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2014ee1
stability
bodeplot
0
votes
0
answers
24
GATE20184
Four power semiconductor devices are shown in the figure along with their relevant terminals. The device(s) that can carry dc current continuously in the direction shown when gated appropriately is (are) Triac only Triac and MOSFET Triac and GTO Thyristor and Triac
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
0
votes
0
answers
25
GATE201851
A $3$phase $900$ kVA, $3 \: kV/ \sqrt{3} kV$ ( $\Delta/$), $50$ Hz transformer has primary (high voltage side) resistance per phase of $0.3 \: \Omega$ and secondary (low voltage side) resistance per phase of $0.02 \: \Omega$. Iron loss of the transformer is $10 \: kW$. The full load $\%$ efficiency of the transformer operated at unity power factor is _______ (up to $2$ decimal places)
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
numericalanswers
0
votes
0
answers
26
GATE2017149
A separately excited $DC$ generator supplies $150$A to a $145$V DC grid. The generator is running at $800$RPM. The armature resistance of the generator is $0.1\Omega$. If the speed of the generator is increased to $1000$ RPM, the current in amperes supplied by the generator to the $DC$ grid is ______. (Give the answer up to one decimal place.)
asked
Feb 27, 2017
in
new
by
Arjun
(
5.4k
points)
gate2017ee1
numericalanswers
0
votes
0
answers
27
GATE201434
Lifetime of an electric bulb is a random variable with density $f(x)=kx^2$ , where $x$ is measured in years. If the minimum and maximum lifetimes of bulb are $1$ and $2$ years respectively, then the value of k is ________.
asked
Feb 12, 2017
in
Probability & Statistics
by
makhdoom ghaya
(
9.3k
points)
gate2014ee3
randomvariable
probabilitydensityfunction
numericalanswers
0
votes
0
answers
28
GATE2015141
Consider the economic dispatch problem for a power plant having two generating units. The fuel costs in Rs/MWh along with the generation limits for the two units are given below: $C_{1}(P_{1})=0.01P^{2}_{1}+30P_{1}+10 ; 100MW \leq P_{1}\leq 150MW$ ... $200$ MW is _______.
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
economicdispatch
incrementalcost
numericalanswers
0
votes
1
answer
29
GATE2019 EE: GA2
The passengers were angry ______ the airline staff about the delay. on about with towards
asked
Feb 13, 2019
in
Verbal Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
verbalability
prepositions
0
votes
0
answers
30
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 13, 2019
in
new
by
Arjun
(
5.4k
points)
gate2019ee
numericalanswers
0
votes
0
answers
31
GATE2014351
A $3$$bit$ gray counter is used to control the output of the multiplexer as shown in the figure. The initial state of the counter is $0002$. The output is pulled $high$. The output of the circuit follows the sequence $I_0$, $1$, $1$, $I_1$, $I_3$, $1$, $1$, $I_2$ $I_0$, $1$, $I_1$ ... , $I_0$, $1$, $I_1$, $I_2$, $1$, $I_3$,$1$ $I_0$, $I_1$, $I_2$, $I_3$, $I_0$, $I_1$, $I_2$, $I_3$
asked
Feb 12, 2017
in
Analog and Digital Electronics
by
makhdoom ghaya
(
9.3k
points)
gate2014ee3
binarycode
counter
multiplexer
0
votes
0
answers
32
GATE201263
Raju has $14$ currency notes in his pocket consisting of only Rs. $20$ notes and Rs. $10$ notes. The total money value of the notes is Rs. $230$. The number of Rs. $10$ notes that Raju has is $5$ $6$ $9$ $10$
asked
Mar 24, 2018
in
Numerical Ability
by
Andrijana3306
(
1.4k
points)
gate2012ee
0
votes
0
answers
33
GATE2014354
A diode circuit feeds an ideal inductor as shown in the figure. Given $v_s$=100 sin($w_t$) $V$ where $ω$ = $100\pi$ $rad/s$, and $L$ = $31.83$ $mH$. The initial value of inductor current is zero. Switch $S$ is closed at $t$ = $2.5$ $ms$. The peak value of inductor current $i_L$ (in $A$) in the first cycle is ________.
asked
Feb 12, 2017
in
Electrical Circuits
by
makhdoom ghaya
(
9.3k
points)
gate2014ee3
timeresponse
peakvalue
numericalanswers
0
votes
0
answers
34
GATE201438
The driving point impedance $Z(s)$ for the circuit shown below is $\frac{s^4+3s^2+1}{s^3+2s} \\ $ $\frac{s^4+2s^2+1}{s^2+2} \\ $ $\frac{s^2+1}{s^4+s^2+1} \\$ $\frac{s^3+1}{s^4+s^2+1}$
asked
Feb 12, 2017
in
Electrical Circuits
by
makhdoom ghaya
(
9.3k
points)
gate2014ee3
passiveloads
driving
point
impedance
0
votes
0
answers
35
GATE2014318
A singleinput singleoutput feedback system has forward transfer function $G(s)$ and feedback transfer function $H(s)$. It is given that $G(s)H(s)< 1$ . Which of the following is true about the stability of the system? The system is always stable The ... are in left half of the splane It is not possible to say whether or not the system is stable from the information given
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2014ee3
transferfunction
feedbacksystem
0
votes
0
answers
36
GATE2015126
The maximum value of "a" such that the matrix $\begin{pmatrix} 3&0&2 \\ 1&1&0 \\ 0&a&2 \end{pmatrix}$ has three linearly independent real eigenvectors is $\frac{2}{3\sqrt{3}}$ $\frac{1}{3\sqrt{3}}$ $\frac{1+2\sqrt{3}}{3\sqrt{3}}$ $\frac{1+\sqrt{3}}{3\sqrt{3}}$
asked
Feb 12, 2017
in
Linear Algebra
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
eigenvalues
eigenmatrix
0
votes
0
answers
37
GATE2020EE53
The temperature of the coolant oil bath for a transformer is monitored using the circuit shown. It contains a thermistor with a temperaturedependent resistance, $R_{thermistor}=2\left ( 1+\alpha\:T \right )k\Omega$, where $\text{T}$ is the temperature in $^{\circ}C$. ... error in the output signal (in $\text{V}$ , rounded off to $2$ decimal places) at $150^{\circ}C$ is ____________.
asked
Feb 28
in
new
by
jothee
(
1.4k
points)
gate2020ee
0
votes
0
answers
38
GATE2014120
In an oscilloscope screen, linear sweep is applied at the vertical axis horizontal axis origin both horizontal and vertical axis
asked
Feb 12, 2017
in
Electrical Circuits
by
makhdoom ghaya
(
9.3k
points)
gate2014ee1
oscilloscope
linear
sweep
0
votes
0
answers
39
GATE201818
Let $f$ be a realvalued function of a real variable defined as $f(x)=x – [x]$, where $[x]$ denotes the largest integer less than or equal to $x$. The value of $\int_{0.25}^{1.25} f(x) dx$ is _______ (up to $2$ decimal places).
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
numericalanswers
0
votes
0
answers
40
GATE2014232
The magnitude of magnetic flux density ($\vec{B}$ ) at a point having normal distance $d$ meters from an infinitely extended wire carrying current of $I$ $A$ is $\frac{\mu i}{2\pi d}$ (in $SI$ units) (in SI units). An infinitely extended wire is laid along the xaxis and is carrying current of $4$ ... $weber/m^2$ $\frac{4}{3\pi }\hat{i}$ $A/m$ $\frac{3}{2\pi }\hat{k}$ $A/m$ $0$ $A/m$
asked
Feb 12, 2017
in
Electromagnetic Fields
by
makhdoom ghaya
(
9.3k
points)
gate2014ee2
fluxdensity
fieldintensity
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