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Gate Mock Test: Electrical Engineering(EE)- 3


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65 Questions MCQ Test GATE Electrical Engineering (EE) 2023 Mock Test Series | Gate Mock Test: Electrical Engineering(EE)- 3

Gate Mock Test: Electrical Engineering(EE)- 3 for GATE 2022 is part of GATE Electrical Engineering (EE) 2023 Mock Test Series preparation. The Gate Mock Test: Electrical Engineering(EE)- 3 questions and answers have been prepared according to the GATE exam syllabus.The Gate Mock Test: Electrical Engineering(EE)- 3 MCQs are made for GATE 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Gate Mock Test: Electrical Engineering(EE)- 3 below.
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Gate Mock Test: Electrical Engineering(EE)- 3 - Question 1

“Wanted a two bedroom flat in the court area for immediate possession” - An Advertisement.
Assumptions:
I. Flats are available in the court area
II. Some people will respond to the advertisement
III. It is a practice to give such an advertisement

Gate Mock Test: Electrical Engineering(EE)- 3 - Question 2

Which of the following is most similar in meaning to the given word
DIRE

Gate Mock Test: Electrical Engineering(EE)- 3 - Question 3

In the question given below, the sentence has a part printed in bold. That part may contain a grammatical error. Replace that part with four choices given below:
The famous playwright has been in the sick bed from the last one week.

Gate Mock Test: Electrical Engineering(EE)- 3 - Question 4
He always _________ you in his letters
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 5
His health ____________ under the pressure of work.
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 6
A, B and C shoots to hit a target. If A hits the target 4 times in 5 trials, B hits in 3 times in 4 trials and C hits it 2 times in 3 trials. What is the probability that the target is hit by at least 2 persons?
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 6 Probability that A hits the target = 4/5
Probability that B hits the target = 3/4
Probability that C hits the target = 2/3
P (at least 2) = P(2) + P(3)
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 7
Two liquids are mixed in the ratio 4:3 and the mixture is sold at Rs 20 with a profit of % .If the first liquid is costlier than the second by Rs 7. Find the sum of costs of both the liquids.
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 7 Profit = %

Cost of 1 unit of liquid 1 = x+7
Cost of 1 unit of liquid 2 = x
(x+7)×4+3x = 15(4+3)
x = 11
x+7 = 18
Total value of the prices = 11+18 = 29
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 8
Henry and Ford worked together to complete a task in 10 days. Had Henry worked with half of his efficiency and Ford at 5 times of his efficiency it would have taken them to finish the job in 50% of the scheduled time. In how many days can Ford complete the job working alone?
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 8 Let henry’s one day work be x
Let ford’s one day work be y

Solving 2 equations we get, y = 1/30
Hence, Ford can complete the job working alone in 30 days
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 9
A new flag is to be designed with six vertical stripes using some or all of the colours- yellow, green, blue and red. Then the number of ways this can be done such that no two adjacent stripes have the same colour out is:
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 9 There are 6 stripes. The stripe can be coloured in 4ways, in 3, in 3 and so on.
Thus, total number of ways = 4×3×3×3×3×3=12×81
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 10
Find the value of
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 10
y(y-3) = 0
y = 3
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 11
In the given circuit determine the value of current source
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 11 V = 4i
Here, 
2i = 4–v
2i = 4 – 4i
6i = 4
i = 2/3
So, v = 8/3
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 12
If power of a signal x (t) is 6 units, then determine the power of g(t), where g (t) is given as,
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 12 Power of g(t),

= 48 + 108
= 156 units
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 13
Which one of the following is non-periodic?
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 13 For a signal to be periodic, the signal must be define from
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 14

The ROC of z-transform of the discrete time sequence x(n) =

Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 14

One part of the equation is the right sided signal and other part is the left sided signal hence the ROC of the system will be 1/3>|z|<1/2.

Gate Mock Test: Electrical Engineering(EE)- 3 - Question 15
A 3 phase voltage source-inverter is operated in mode of conduction. Which of the following statement is true?
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 16
A dc shut generator has full load voltage regulation of 10% at rated speed of 1000 rpm. If it is now driven at 1250 rpm, then its voltage regulation at full load is
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 16
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 17
The signal flow graph of a closed loop system is shown in the figure, where represents the disturbance in the forward path. The effect of the disturbance can be reduced by
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 17 With feedback, the output due to disturbance

Without feedback output due to disturbance is

By comparing above two equations, feedback decreases the effect of noise.If Increases, disturbance decreases, But gain also decreases. This is not desirable.
If increases, disturbance increases, since noise links with 
if increases, disturbance decreases, and gain also decreases. This is desirable.
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 18
The system having characteristic equation is to be used as an oscillator. What is the value of frequency of oscillation?
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 18 Characteristic equation

Gate Mock Test: Electrical Engineering(EE)- 3 - Question 19
Piecewise linear model of a diode shown in the figure

Determine the value of in the given circuit
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 19
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 20
The transfer function of a system is The output of the system for the input x (t) = 4u(t) is y (t). The value of y(t) is
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 20
Since one root is lies on the right half of s-plane, so output is unbounded. Therefore y(t) =
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 21
If an energy meter disc makes 10 resolutions in 100 sec when load of 450W is connected to it. Meter constant in revolution per kwH is?
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 21 10 revolution --> 100 sec
P = 450 w = 4.5 kW
Energy consumed in time
T = 100 sec =1/36 hr

Number of revolution = 10

1 kwH = 800 revolution
Meter constant = 800 revolution /kwH
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 22
For the circuit shown in the figure assume ideal diodes with forward resistance and forward voltage drop are zero. The current through diode
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 22 In the given circuit both the diodes cannot be ON simultaneously.
In the above circuit only is ON.
So current through diode is zero.
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 23
Determine the value of in the given circuit given = 100
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 23
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 24
Determine the value of in the circuit, assume op-amp is ideal.
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 24
= 11–10
= 1 volt
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 25
Assume the op-amp is ideal the transfer characteristics of the circuit is
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 25 In the given circuit for positive half cycle of input voltage is at i.e.
–10V and diode is off,and during negative half cycle is at i.e. +10V, so diode is ON and,virtual short-cirucit exist.

So transfer characteristic

Gate Mock Test: Electrical Engineering(EE)- 3 - Question 26
If cross-sectional area of base-emitter junction of transistor is 2 times of transistor then determine the value of Assume of both the transistors are very large
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 26

Gate Mock Test: Electrical Engineering(EE)- 3 - Question 27
A 90 MVA, 11 KV water wheel generator has an inertia constant H = 3, the stored energy in the rotor at synchronous speed is
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 27 Rating of the machine = 90 MVA, Inertia constant (H) = 3 MJ/MVA

K.E. = 270 MJ
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 28
The minimal some of products form of is
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 28
The K-map of the above function

So, the required minimal SoP of f is
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 29
A single phase load of 100 KVA is connected across line B & C of a 3 phase supply of 3.3kV. Determine positive sequence symmetrical component of line current
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 29
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 30

 

 

If two induction motors A and B are identical except that the airgap of motor 'A' is 50% greater than that of motor 'B' then

Gate Mock Test: Electrical Engineering(EE)- 3 - Question 31

A 50 Hz, 11 kV, 3 phase alternator with earthed neutral having a reactance of 3 ohms per phase and is connected to a bus bar through a circuit breaker, if the distributed capacitance upto CB between the phase and neutral is 0.01 μ F.

What is the peak re striking voltage?

Gate Mock Test: Electrical Engineering(EE)- 3 - Question 32
The dimension of the null space of the matrix A is, where
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 32 Since order of matrix is 3 × 3 and rank of matrix is 2
So, dimension of null space = 3 – 2 = 1
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 33

Given that x is a random variable in the range [0,∞] with a probability density function f(x) = the value of k is

Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 33

Gate Mock Test: Electrical Engineering(EE)- 3 - Question 34
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 34 The limit is in the form of
By L-hospitals rule,
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 35

Number of parallel path in wave winding is:

Gate Mock Test: Electrical Engineering(EE)- 3 - Question 36
The circuit shown in the figure is in series resonance at a frequency rad/sec. The value of in the volts is.
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 36
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 37
The circuit shown in the figure contains a dependent current source between A and B terminals. The thevenin’s equivalent resistance in kW between the terminals C and D is
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 37 Thevenin’s equivalent circuit is made by connecting 1A current source at the output and short circuiting the battery.

Substitute equation (2) in to equation (1), we get
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 38
Determine the average power consume by the 4W resistor in the given circuit
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 38
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 39
A 240 V dc series motor takes 40 A when giving its rated output at 1500 rpm its resistance is 0.3 W. The value of resistance which must be added to obtain rated torque at 1000 rpm is
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 39
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 40
The transfer function of a digital system is given by where  is real.The transfer function is BIBO stable if the value of is
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 40 Transfer function of system

The stability of a two-pole system can be investigated by stability criteria called “Scho-cohn” stability test In this approach there are two polynomials
which are calculated from denominator polynomial of the transfer function.For the system to be stable,
|P1| < 1 and |P2| <1


These two conditions (1) and (2) are satisfied only if = 0.5 among the given options.
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 41
The impulse response of a continuous time system is given by h (t) = d (t – 1) + d (t – 3).The value of the step response at t = 2 is
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 41 Step response = integration of impulse response

So at t = 2, y(t) = 1
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 42
A single-phase 230V, 1 kW heater is connected across single-phase 230V, 50 Hz supply through a diode. Calculate power delivered to the heater element.
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 42 Heater resistance R =
RMS value of output voltage =
Therefore power absorbed by heater element = = 500W
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 43

The signal flow graph for a system is given below. The transfer function Y(S) / U(S) for this system is given as

Gate Mock Test: Electrical Engineering(EE)- 3 - Question 44

Consider the control system shown in figure with feed forward action for rejection of ameasurable disturbance d(t). The value of K, for which the disturbance response at the output y(t) is zero mean, is

Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 44

For r(t) = 1

For no disturbance effect

At steady state, s = 0
K = –2

Gate Mock Test: Electrical Engineering(EE)- 3 - Question 45
The open loop transfer function of a system is . The angles of arrival of its root loci are
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 45 Angle of arrival,
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 46
Determine the maximum value of so that transistor remains in saturation region, Given b = 100 and  = 0 volt
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 46

Gate Mock Test: Electrical Engineering(EE)- 3 - Question 47
The small-signal resistance offered by the n-channel MOSPET M shown in the figure below, device transconductance parameter threshold voltage, =1v
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 47 Small signal resistance,
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 48
Assuming op-amp is ideal, the magnitude of the transfer impedance in of the current to voltage converter in the given cir
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 48 Apply KVL at node A,
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 49
Assuming the op-amp is ideal, the input impedance that is seen by the voltage source in the given circuit is.
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 49
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 50
A n junction has a built-in potential of 0.6 V. The width of depletion layer at a reverse bias voltage of 1.4 V is 4 For a reverse bias of 17.4 V the depletion layer width will be
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 50
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 51
For the circuit shown below determine the ac voltage across the diode, given = 26 mV, =0.7 V and h = 1 and C is very large
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 51
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 52
Integrated output waveform for the dual slope ADC is shown in the figure. The time T1 for an 10 bit counter with 5 mHZ clock will be.
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 52 Time,         

T = 0.064 ms.
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 53
In figure, if the input A = 0 and B = 0, the output F can be mode 0 by making
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 53
Given, A = 0, and B = 0
So only C = 1 and D = 1 will give output 0
Y = 0
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 54

The initial state of the counter in the circuit shown below is 01, and resolution of DAC is 0.5 volt. Determine the output of DAC after three clock pulses.

Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 54

The state diagram of counter

So, output of DAC = 0 volt

Gate Mock Test: Electrical Engineering(EE)- 3 - Question 55
Consider the single conductor system shown.

Calculate the inductance per phase per km
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 55
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 56
For Bulk-Boost regulator, calculate critical capacitance and source-current. Duty cycle = 0.6 and = 10 sec.
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 56
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 57
The reading of a dynamometer type watt meter with P.C. angle of is 700W when measures power of inductive load supplied at 240V, if watt meter is replaced by another with PC angle reading is 620W. Calculate the true power and load current
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 57
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 58
A 600 V dc motor drives a 60 kW load at 900 rpm. The shunt field resistance is 100 W and armature resistance 0.16 if motor efficiency is 85% determine speed regulation.
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 58


= 4.1 %
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 59
The magnetic field intensity vector of a plane wave is given by where denotes the unit vector in Z direction.The wave is propagating with 0 phase velocity.
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 59
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 60

A 50 Hz 3 phase synchronous generator has inductance per phase of 15mH. The capacitance of generator and the circuit breaker is 0.002μ F. What is the natural frequency of oscillation?

Gate Mock Test: Electrical Engineering(EE)- 3 - Question 61
A surge of 10 kV magnitude travels along a cable towards its junction with an over head line.The inductance and capacitance of the cable and over head line are respectively 0.3 mH, 0.4 and 1.5 mH, 0.012 per km. The voltage rise at the junction due to the surge will be.
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 61 The natural impedance of the cable

The natural impedance of the line

Voltage transmitted into over head line at junction.
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 62
Consider a random variable x that takes values +1 and -1 with probability 0.5 each. The value of the cumulative distribution function F (x) at x = -1 and + 1 are
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 62 The PDF of the random variable is

The cumulative distribution function F(x) is the probability upto x as given below
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 63
If the matrix A is such that A = then the determinant of A is equal to
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 63
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 64
The maximum value of in the interval [1,6] is
Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 64
= 41
So the maximum value of f(x) in interval [1, 6] is 41
Gate Mock Test: Electrical Engineering(EE)- 3 - Question 65

The maximum value of the solution y (t) of the differential equation with initial conditions and y(0) = 1 for 0 is

Detailed Solution for Gate Mock Test: Electrical Engineering(EE)- 3 - Question 65


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