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Recent questions tagged gate2018ee
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1
GATE Electrical 2018  GA Question: 6
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
(
7.8k
points)
gate2018ee
numericalability
counting
0
votes
1
answer
2
GATE Electrical 2018  GA Question: 9
A designer uses marbles of four different colours for his designs. The cost of each marble is the same, irrespective of the colour. The table below shows the percentage of marbles of each colour used in the current design. The cost of each marble increased by $25 \%$. ... $35.75$ $40.25$ $43.75$ $46.25$
asked
Feb 19, 2018
in
Numerical Ability
by
Arjun
(
7.8k
points)
gate2018ee
numericalability
percentage
0
votes
1
answer
3
GATE Electrical 2018  GA Question: 8
A class of twelve children has two more boys than girls. A group of three children are randomly picked from this class to accompany the teacher on a field trip. What is the probability that the group accompanying the teacher contains more girls than boys? $0 \\ $ $\frac{325}{864} \\ $ $\frac{525}{864} \\ $ $\frac{5}{12}$
asked
Feb 19, 2018
in
Numerical Ability
by
Arjun
(
7.8k
points)
gate2018ee
numericalability
probability
0
votes
2
answers
4
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$?$ $RSTN$ $TLPH$ $HLPT$ $XSVR$
asked
Feb 19, 2018
in
Analytical Aptitude
by
Arjun
(
7.8k
points)
gate2018ee
analyticalaptitude
logicalreasoning
sequenceseries
0
votes
1
answer
5
GATE Electrical 2018  GA Question: 5
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
(
7.8k
points)
gate2018ee
numericalability
functions
0
votes
1
answer
6
GATE Electrical 2018  GA Question: 4
For what values of $k$ given below is $\dfrac{(k + 2)^2}{(k  3)}$ an integer? $4 , 8 , 18 $ $4 , 10 , 16$ $ 4 , 8 , 28 $ $8 , 26 , 28$
asked
Feb 19, 2018
in
Numerical Ability
by
Arjun
(
7.8k
points)
gate2018ee
numericalability
algebra
0
votes
0
answers
7
GATE Electrical 2018  GA Question: 3
The three roots of the equation $f(x) = 0$ are $x = {−2, 0, 3}.$ What are the three values of $ x $ for which $f(x − 3) = 0?$ $−5 , −3 , 0 $ $−2 , 0 , 3$ $0 , 6 , 8$ $1 , 3 , 6$
asked
Feb 19, 2018
in
Numerical Ability
by
Arjun
(
7.8k
points)
gate2018ee
numericalability
quadraticequations
cubicequations
0
votes
1
answer
8
GATE Electrical 2018  GA Question: 10
$P, Q, R,$ 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 ... person rowed for at least one trip. Only one person can row during a trip. Who rowed twice? $P$ $Q$ $R$ $S$
asked
Feb 19, 2018
in
Analytical Aptitude
by
Arjun
(
7.8k
points)
gate2018ee
analyticalaptitude
logicalreasoning
0
votes
1
answer
9
GATE Electrical 2018  GA Question: 2
“A common misconception among writers is that sentence structure mirrors thought; the more _________ the structure, the more complicated the ideas.” The word that best fills the blank in the above sentence is detailed simple clear convoluted
asked
Feb 19, 2018
in
Verbal Ability
by
Arjun
(
7.8k
points)
gate2018ee
verbalability
mostappropriateword
0
votes
1
answer
10
GATE Electrical 2018  GA Question: 1
“Since you have gone off the ________, the _________ sand is likely to damage the car.” The words that best fill the blanks in the above sentence are course, coarse course, course coarse, course coarse, coarse
asked
Feb 19, 2018
in
Verbal Ability
by
Arjun
(
7.8k
points)
gate2018ee
verbalability
mostappropriateword
0
votes
0
answers
11
GATE Electrical 2018  Question: 54
The equivalent circuit of a single phase induction motor is shown in the figure, where the parameters are $R_1 =R_2=X_{l1}=X_{l2} = 12 \Omega$, $X_M=240 \: \Omega$ and $S$ is the slip. At noload, the motor speed can be approximated to the synchronous speed. The noload lagging power factor of the motor is __________ (up to $3$ decimal places).
asked
Feb 19, 2018
in
new
by
Arjun
(
7.8k
points)
gate2018ee
numericalanswers
0
votes
0
answers
12
GATE Electrical 2018  Question: 55
The voltage $v(t)$ across the terminals $a$ and $b$ as shown in the figure, is a sinusoidal voltage having a frequency $\omega = 100 \text{ radian/s}$. When the inductor current $i(t)$ is in phase with the voltage $v(t)$, the magnitude of the impedance $Z$ (in $\Omega$) seen between the terminals $a$ and $b$ is __________ (up to $2$ decimal places)
asked
Feb 19, 2018
in
new
by
Arjun
(
7.8k
points)
gate2018ee
numericalanswers
0
votes
0
answers
13
GATE Electrical 2018  Question: 53
A dc to dc converter shown in the figure is charging a battery bank, $B2$ whose voltage is constant at $150 \: V$. $B1$ is another battery bank whose voltage is constant at $50 \: V$. The value of the inductor, $L$ is $5$ mH and the ... assuming the diode D to be ideal, the power transferred from $B1$ to $B2$ (in Watt) is ___________ (up to $2$ decimal places)
asked
Feb 19, 2018
in
new
by
Arjun
(
7.8k
points)
gate2018ee
numericalanswers
0
votes
1
answer
14
GATE Electrical 2018  Question: 52
A $200$ V DC series motor, when operating from rated voltage while driving a certain load, draws $10$ A current and runs at $1000$ r.p.m. The total series resistance is $1 \: \Omega$. The magnetic circuit is assumed to be linear. At the ... the load torque is increased by $44 \%$. The speed of the motor in r.p.m (rounded to the nearest integer) is _____________
asked
Feb 19, 2018
in
new
by
Arjun
(
7.8k
points)
gate2018ee
numericalanswers
0
votes
0
answers
15
GATE Electrical 2018  Question: 51
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 $0.02 \: \Omega$. ... 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
(
7.8k
points)
gate2018ee
numericalanswers
0
votes
0
answers
16
GATE Electrical 2018  Question: 50
The figure shows two buck converters connected in parallel. The common input dc voltage for the converters has a value of $100 \: V$. The converters have inductors of identical value. The load resistance is $1 \: \Omega$. The capacitor voltage has negligible ... of $i_{s1}$, the current of switch $S1$ (in Ampere), is ____________ (up to $2$ decimal places).
asked
Feb 19, 2018
in
new
by
Arjun
(
7.8k
points)
gate2018ee
numericalanswers
0
votes
0
answers
17
GATE Electrical 2018  Question: 49
A phase controlled single phase rectifier, supplied by an AC source, feeds power to an $RLE$ load as shown in the figure. The rectifier output voltage has an average value given by $V_{\text{o}}= \frac{V_m}{2 \pi} (3+\cos \alpha)$, ... . If the power delivered to the lossless battery is $1600$ W, $\alpha$ in degree is ___________ (up to $2$ decimal places).
asked
Feb 19, 2018
in
new
by
Arjun
(
7.8k
points)
gate2018ee
numericalanswers
0
votes
0
answers
18
GATE Electrical 2018  Question: 46
The unit step response $y(t)$ of a unity feedback system with open loop transfer function $G(s)H(s)= \frac{K}{(s+1)^2(s+2)}$ is shown in the figure. The value of $K$ is ___________ (up to $2$ decimal places).
asked
Feb 19, 2018
in
new
by
Arjun
(
7.8k
points)
gate2018ee
numericalanswers
0
votes
0
answers
19
GATE Electrical 2018  Question: 48
The voltage across the circuit in the figure, and the current through it, are given by the following expressions: $v(t)=510 \cos (\omega t+ 60^{\circ}) \: V$ $i(t)=5 + X \cos (\omega t) \: A$ where $\omega =100 \: \pi \text{ radian}/s$. If the average power delivered to the circuit is zero, then the value of $X$ (in Ampere) is _______ (up to $2$ decimal places)
asked
Feb 19, 2018
in
new
by
Arjun
(
7.8k
points)
gate2018ee
numericalanswers
0
votes
0
answers
20
GATE Electrical 2018  Question: 47
A threephase load is connected to a threephase balanced supply as shown in the figure. If $V_{\text{an}} = 100 \angle 0^{\circ} \: V$, $V_{\text{bn}}=100 \angle  120 ^{\circ} \: V$ ... in the anticlockwise direction), the value of $R$ for zero current in the neutral wire is __________ $\Omega$ (up to $2$ decimal places).
asked
Feb 19, 2018
in
new
by
Arjun
(
7.8k
points)
gate2018ee
numericalanswers
0
votes
0
answers
21
GATE Electrical 2018  Question: 45
The capacitance of an airfilled parallelplate capacitor is $60$ pF. When a dielectric slab whose thickness is half the distance between the plates, is placed on one of the plates covering it entirely, the capacitance becomes $86$ pF. Neglecting the fringing effects, the relative permittivity of the dielectric is ___________ (up to $2$ decimal places)
asked
Feb 19, 2018
in
new
by
Arjun
(
7.8k
points)
gate2018ee
numericalanswers
0
votes
0
answers
22
GATE Electrical 2018  Question: 39
The signal energy of he continuoustime signal $x(t)=[(t1)u(t1)][(t2)u(t2)][(t3)u(t3)]+[(t4)u(t4)]$ is $11/3$ $7/3$ $1/3$ $5/3$
asked
Feb 19, 2018
in
new
by
Arjun
(
7.8k
points)
gate2018ee
0
votes
0
answers
23
GATE Electrical 2018  Question: 41
In the circuit shown in the figure, the bipolar junction transistor (BJT) has a current gain $\beta = 100$. The baseemitter voltage drop is a constant, $V_{BE}=0.7 \: V$. The value of the Thevenin equivalent resistance $R_{Th}$ (in $\Omega$) as shown in the figure is _________ (up to $2$ decimal places)
asked
Feb 19, 2018
in
new
by
Arjun
(
7.8k
points)
gate2018ee
numericalanswers
0
votes
0
answers
24
GATE Electrical 2018  Question: 40
The Fourier transform of a continuoustime signal $x(t)$ is given by $X(\omega) = \frac{1}{(10+j \omega)^2}, – \infty < \omega < \infty$, where $j = \sqrt{1}$ and $\omega$ denoes frequency. Then the value of $\mid \text{ln } x(t) \mid$ at $t=1$ is _________ (up to $1$ decimal place). ($\text{ln}$ denotes the logarithm base $e$)
asked
Feb 19, 2018
in
Transform Theory
by
Arjun
(
7.8k
points)
gate2018ee
numericalanswers
transformtheory
fouriertransform
0
votes
0
answers
25
GATE Electrical 2018  Question: 43
Let $f(x) = 3x^37x^2+5x+6$. The maximum value of $f(x)$ over the interval $[0,2]$ is ________ (up to one decimal place).
asked
Feb 19, 2018
in
Calculus
by
Arjun
(
7.8k
points)
gate2018ee
numericalanswers
calculus
maximaminima
0
votes
0
answers
26
GATE Electrical 2018  Question: 44
Let $A= \begin{bmatrix} 1 & 0 & 1 \\ 1 & 2 & 0 \\ 0 & 0 & 2 \end{bmatrix}$ and $B=A^3A^24A+5I$, where $I$ is the $3 \times 3$ identify matrix. The determinant of $B$ is _______ (up to $1$ decimal place).
asked
Feb 19, 2018
in
Linear Algebra
by
Arjun
(
7.8k
points)
gate2018ee
numericalanswers
linearalgebra
matrices
determinant
0
votes
0
answers
27
GATE Electrical 2018  Question: 42
As shown in the figure, $C$ is the arc from the point $(3,0)$ to the point $(0,3)$ on the circle $x^2+y^2=9$. The value of the integral $\int_C (y^2+2yx) dx +(2xy+x^2)dy$ is ________ (up to $2$ decimal places).
asked
Feb 19, 2018
in
Calculus
by
Arjun
(
7.8k
points)
gate2018ee
numericalanswers
calculus
definiteintegral
0
votes
0
answers
28
GATE Electrical 2018  Question: 38
Consider the two continuoustime signals defined below: ... than the energy of $x_1[n]$ $x_1[n]$ and $x_2[n]$ have equal energies Neither $x_1[n]$ nor $x_2[n]$ is a finiteenergy signal
asked
Feb 19, 2018
in
new
by
Arjun
(
7.8k
points)
gate2018ee
0
votes
0
answers
29
GATE Electrical 2018  Question: 37
Digital input signals A, B, C with A as the MSB and C as the LSB are used to realize the Boolean function $F=m_0+m_2+m_3+m_5+m_7$, where $m_i$ denotes the $i$ th minterm. In addition, $F$ has a don't care for $m_1$. The simplified expression for $F$ is given by ... $\overline{A}+C$ $\overline{C}+A$ $\overline{A} C + BC + A \overline{C}$
asked
Feb 19, 2018
in
Analog and Digital Electronics
by
Arjun
(
7.8k
points)
gate2018ee
analoganddigitalelectronics
booleanalgebra
0
votes
0
answers
30
GATE Electrical 2018  Question: 36
Which one of the following statements is true about the digital circuit shown in the figure It can be used for dividing input frequency by $3$ It can be used for dividing input frequency by $5$ It can be used for dividing input frequency by $7$ It cannot be reliably used as a frequency divider due to disjoint internal cycles
asked
Feb 19, 2018
in
Analog and Digital Electronics
by
Arjun
(
7.8k
points)
gate2018ee
analoganddigitalelectronics
sequentialcircuit
counters
0
votes
0
answers
31
GATE Electrical 2018  Question: 35
If $C$ is a circle $\mid z \mid=4$ and $f(z)=\frac{z^2}{(z^23z+2)^2}$, then $\underset{C}{\oint} f(z) dz$ is $1$ $0$ $1$ $2$
asked
Feb 19, 2018
in
Complex Variables
by
Arjun
(
7.8k
points)
gate2018ee
complexvariables
cauchysintegraltheorem
0
votes
0
answers
32
GATE Electrical 2018  Question: 34
The number of roots of the polynomial, $s^7+s^6+7s^5+14s^4+31s^3+73s^2+25s+200$, in the open left half of the complex plane is $3$ $4$ $5$ $6$
asked
Feb 19, 2018
in
Complex Variables
by
Arjun
(
7.8k
points)
gate2018ee
complexvariables
complexvaluedfunctions
0
votes
0
answers
33
GATE Electrical 2018  Question: 33
Consider a system governed by the following equations $ \frac{dx_1(t)}{dt} = x_2(t)x_1(t) \\ \frac{dx_2(t)}{dt} = x_1(t)x_2(t)$ The initial conditions are such that $x_1(0)<x_2(0)< \infty$. Let $x_{1f}= \underset{t \to \infty}{\lim} x_1(t)$ ... $x_{1f}<x_{2f}<\infty$ $x_{2f}<x_{1f}<\infty$ $x_{1f}<=_{2f}<\infty$ $x_{1f}=x_{2f}=\infty$
asked
Feb 19, 2018
in
Differential Equations
by
Arjun
(
7.8k
points)
gate2018ee
differentialequations
0
votes
0
answers
34
GATE Electrical 2018  Question: 32
The equivalent impedance $Z_{eq}$ for the infinite ladder circuit shown in the figure is $\text{j} 12 \: \Omega$ $\text{j} 12 \: \Omega$ $\text{j} 13 \: \Omega$ $13 \: \Omega$
asked
Feb 19, 2018
in
new
by
Arjun
(
7.8k
points)
gate2018ee
0
votes
0
answers
35
GATE Electrical 2018  Question: 27
A $01$ Ampere moving iron ammeter has an internal resistance of $50 \: m \Omega$ and inductance of $0.1 \: mH$. A shunt coil is connected to extend its range to $010$ Ampere for all operating frequencies. The time constant in milliseconds and resistance in $m \Omega$ of the shunt coil respectively are $2, \: 5.55$ $2, \: 1$ $2.18, \: 0.55$ $11.1, \: 2$
asked
Feb 19, 2018
in
new
by
Arjun
(
7.8k
points)
gate2018ee
0
votes
0
answers
36
GATE Electrical 2018  Question: 25
Consider a unity feedback system with forward transfer function given by $G(s) = \frac{1}{(s+1)(s+2)}$ The steadystate error in the output of the system for a unitstep input is _______ (up to $2$ decimal places).
asked
Feb 19, 2018
in
new
by
Arjun
(
7.8k
points)
gate2018ee
numericalanswers
0
votes
0
answers
37
GATE Electrical 2018  Question: 24
A separately excited dc motor has an armature resistance $R_a =0.05 \: \Omega$. The field excitation is kept constant. At an armature voltage of $100$ V, the motor produces a torque of $500$ Nm at zero speed. Neglecting all mechanical losses, the no ... motor (in $\text{radian /s}$) for an armature voltage of $150$ V is ____________ (up to $2$ decimal places).
asked
Feb 19, 2018
in
new
by
Arjun
(
7.8k
points)
gate2018ee
numericalanswers
0
votes
0
answers
38
GATE Electrical 2018  Question: 31
A DC voltage source is connected to a series $LC$ circuit by turning on the switch S at time $t=0$ as shown in the figure. Assume $i(0)=0$, $v(0)=0$. Which one of the following circular loci represents the plot of $i(t)$ versus $v(t)$?
asked
Feb 19, 2018
in
new
by
Arjun
(
7.8k
points)
gate2018ee
0
votes
0
answers
39
GATE Electrical 2018  Question: 30
The perunit power output of a salientpole generator which is connected to an infinite bus, is given by the expression, $P=1.4 \sin \delta + 0.15 \sin 2 \delta$, where $\delta$ is the load angle. NewtonRaphson method is used to calculate the value of $\delta$ ... at the end of the first iteration is $15^{\circ}$ $28.28^{\circ}$ $28.74^{\circ}$ $31.20^{\circ}$
asked
Feb 19, 2018
in
new
by
Arjun
(
7.8k
points)
gate2018ee
0
votes
0
answers
40
GATE Electrical 2018  Question: 29
Consider the two bus power system network with given loads as shown in the figure. All the values shown in the figure are in per unit. The reactive power supplied by generator $G_1$ and $G_2$ are $Q_{G1}$ and $Q_{G2}$ respectively. The per unit values of $Q_{G1}$, $Q_{G2}$, and line ... $6.34, \: 11.34, \: 2.68$ $5.00, \: 11.34, \: 1.34$
asked
Feb 19, 2018
in
new
by
Arjun
(
7.8k
points)
gate2018ee
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