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This mock test of Electrical Engineering (EE) : Mock Test 2 For GATE for GATE helps you for every GATE entrance exam.
This contains 65 Multiple Choice Questions for GATE Electrical Engineering (EE) : Mock Test 2 For GATE (mcq) to study with solutions a complete question bank.
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QUESTION: 1

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

Solution:

QUESTION: 2

DIRE

Solution:

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.

Solution:

QUESTION: 4

He always _________ you in his letters

Solution:

QUESTION: 5

His health ____________ under the pressure of work.

Solution:

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?

Solution:
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)

Probability that B hits the target = 3/4

Probability that C hits the target = 2/3

P (at least 2) = P(2) + P(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.

Solution:
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

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

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?

Solution:
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

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

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:

Solution:
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

Thus, total number of ways = 4×3×3×3×3×3=12×81

QUESTION: 10

Find the value of

Solution:

y(y-3) = 0

y = 3

y(y-3) = 0

y = 3

QUESTION: 11

In the given circuit determine the value of current source

Solution:
V = 4i

Here,

2i = 4–v

2i = 4 – 4i

6i = 4

i = 2/3

So, v = 8/3

Here,

2i = 4–v

2i = 4 – 4i

6i = 4

i = 2/3

So, v = 8/3

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,

Solution:
Power of g(t),

= 48 + 108

= 156 units

= 48 + 108

= 156 units

QUESTION: 13

Which one of the following is non-periodic?

Solution:
For a signal to be periodic, the signal must be define from

QUESTION: 14

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

Solution:

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.

QUESTION: 15

A 3 phase voltage source-inverter is operated in mode of conduction. Which of the following statement is true?

Solution:

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

Solution:

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

Solution:
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.

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.

QUESTION: 18

The system having characteristic equation is to be used as an oscillator. What is the value of frequency of oscillation?

Solution:
Characteristic equation

QUESTION: 19

Piecewise linear model of a diode shown in the figure

Determine the value of in the given circuit

Determine the value of in the given circuit

Solution:

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

Solution:

Since one root is lies on the right half of s-plane, so output is unbounded. Therefore y(t) =

Since one root is lies on the right half of s-plane, so output is unbounded. Therefore y(t) =

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?

Solution:
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

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

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

Solution:
In the given circuit both the diodes cannot be ON simultaneously.

In the above circuit only is ON.

So current through diode is zero.

In the above circuit only is ON.

So current through diode is zero.

QUESTION: 23

Determine the value of in the given circuit given = 100

Solution:

QUESTION: 24

Determine the value of in the circuit, assume op-amp is ideal.

Solution:

= 11–10

= 1 volt

= 11–10

= 1 volt

QUESTION: 25

Assume the op-amp is ideal the transfer characteristics of the circuit is

Solution:
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

–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

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

Solution:

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

Solution:
Rating of the machine = 90 MVA, Inertia constant (H) = 3 MJ/MVA

K.E. = 270 MJ

K.E. = 270 MJ

QUESTION: 28

The minimal some of products form of is

Solution:

The K-map of the above function

So, the required minimal SoP of f is

The K-map of the above function

So, the required minimal SoP of f is

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

Solution:

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

Solution:

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?

Solution:

QUESTION: 32

The dimension of the null space of the matrix A is, where

Solution:
Since order of matrix is 3 × 3 and rank of matrix is 2

So, dimension of null space = 3 – 2 = 1

So, dimension of null space = 3 – 2 = 1

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

Solution:

QUESTION: 34

Solution:
The limit is in the form of

By L-hospitals rule,

By L-hospitals rule,

QUESTION: 35

Number of parallel path in wave winding is:

Solution:

QUESTION: 36

The circuit shown in the figure is in series resonance at a frequency rad/sec. The value of in the volts is.

Solution:

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

Solution:
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

Substitute equation (2) in to equation (1), we get

QUESTION: 38

Determine the average power consume by the 4W resistor in the given circuit

Solution:

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

Solution:

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

Solution:
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.

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.

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

Solution:
Step response = integration of impulse response

So at t = 2, y(t) = 1

So at t = 2, y(t) = 1

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.

Solution:
Heater resistance R =

RMS value of output voltage =

Therefore power absorbed by heater element = = 500W

RMS value of output voltage =

Therefore power absorbed by heater element = = 500W

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

Solution:

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

Solution:

For r(t) = 1

For no disturbance effect

At steady state, s = 0

K = –2

QUESTION: 45

The open loop transfer function of a system is . The angles of arrival of its root loci are

Solution:
Angle of arrival,

QUESTION: 46

Determine the maximum value of so that transistor remains in saturation region, Given b = 100 and = 0 volt

Solution:

QUESTION: 47

The small-signal resistance offered by the n-channel MOSPET M shown in the figure below, device transconductance parameter threshold voltage, =1v

Solution:
Small signal resistance,

QUESTION: 48

Assuming op-amp is ideal, the magnitude of the transfer impedance in of the current to voltage converter in the given cir

Solution:
Apply KVL at node A,

QUESTION: 49

Assuming the op-amp is ideal, the input impedance that is seen by the voltage source in the given circuit is.

Solution:

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

Solution:

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

Solution:

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.

Solution:
Time,

T = 0.064 ms.

T = 0.064 ms.

QUESTION: 53

In figure, if the input A = 0 and B = 0, the output F can be mode 0 by making

Solution:

Given, A = 0, and B = 0

So only C = 1 and D = 1 will give output 0

Y = 0

Given, A = 0, and B = 0

So only C = 1 and D = 1 will give output 0

Y = 0

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.

Solution:

The state diagram of counter

So, output of DAC = 0 volt

QUESTION: 55

Consider the single conductor system shown.

Calculate the inductance per phase per km

Calculate the inductance per phase per km

Solution:

QUESTION: 56

For Bulk-Boost regulator, calculate critical capacitance and source-current. Duty cycle = 0.6 and = 10 sec.

Solution:

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

Solution:

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.

Solution:

= 4.1 %

= 4.1 %

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.

Solution:

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?

Solution:

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.

Solution:
The natural impedance of the cable

The natural impedance of the line

Voltage transmitted into over head line at junction.

The natural impedance of the line

Voltage transmitted into over head line at junction.

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

Solution:
The PDF of the random variable is

The cumulative distribution function F(x) is the probability upto x as given below

The cumulative distribution function F(x) is the probability upto x as given below

QUESTION: 63

If the matrix A is such that *A* = then the determinant of A is equal to

Solution:

QUESTION: 64

The maximum value of in the interval [1,6] is

Solution:

= 41

So the maximum value of f(x) in interval [1, 6] is 41

= 41

So the maximum value of f(x) in interval [1, 6] is 41

QUESTION: 65

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

Solution:

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