Practice Test: Electronics Engineering (ECE)- 3


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65 Questions MCQ Test GATE ECE (Electronics) 2023 Mock Test Series | Practice Test: Electronics Engineering (ECE)- 3

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

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 1

The advertisement depicts only the requirement, not the availability of flats in court area. So, I is not implicit. Such advertisements are given with the expectation of a response which can make such a flat available. So, II is implicit. Assumption III does not follow from the statement and so is not implicit.

Practice Test: Electronics Engineering (ECE)- 3 - Question 2

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

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 2

DIRE means very serious 

Alarming means something very serious. 

So the correct answer is ALARMING

Practice Test: Electronics Engineering (ECE)- 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.

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 3

We use the present perfect continuous tense to talk about an action that started in the past and is continuing now. This is often used with 'for' (showing period of time) or since (showing point of time).

As the given sentence is one, the prepositional phrase 'from the last' must be replaced with 'for the past' to make it a grammatically correct sentence. 
 

Practice Test: Electronics Engineering (ECE)- 3 - Question 4
He always _________ you in his letters
Practice Test: Electronics Engineering (ECE)- 3 - Question 5
His health ____________ under the pressure of work.
Practice Test: Electronics Engineering (ECE)- 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 Practice Test: Electronics Engineering (ECE)- 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)
Practice Test: Electronics Engineering (ECE)- 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 Practice Test: Electronics Engineering (ECE)- 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
Practice Test: Electronics Engineering (ECE)- 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 Practice Test: Electronics Engineering (ECE)- 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
Practice Test: Electronics Engineering (ECE)- 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 Practice Test: Electronics Engineering (ECE)- 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
Practice Test: Electronics Engineering (ECE)- 3 - Question 10
Find the value of
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 10
y(y-3) = 0
y = 3
Practice Test: Electronics Engineering (ECE)- 3 - Question 11
In the given circuit determine the value of current source
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 11 V = 4i

2i = 4–v
2i = 4 – 4i
6i = 4
i = 2/3
So, v = 8/3
Practice Test: Electronics Engineering (ECE)- 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,
g(t) = 4x (t)
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 12 Power of g(t),

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

The ROC of z-transform of the discrete time sequence, x(n) so that x(n) is absolutely summable

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 14


Practice Test: Electronics Engineering (ECE)- 3 - Question 15
Consider two signals and in which is band limited to 3 kHZ and is band limited to 2KHz, determine the minimum sampling frequency of g(t) where
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 15 Convolution in time domain results multiplication in frequency domain,
So resultant signal in frequency domain is limited upto 2 KHz, i.e. = 2kHz
so,             = 2 × 2
                        = 4 KHz
Practice Test: Electronics Engineering (ECE)- 3 - Question 16
A TDM link has 30 signal channels and each channel is sampled 9000 times/sec. Each sample is represented by seven binary bits and contains an additional bit for synchronization. The total bit rate for the TDM link is:
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 16 Bit rate = 30 × 9000 (7 + 1) bits/second
= 2160 kbps
Practice Test: Electronics Engineering (ECE)- 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 Practice Test: Electronics Engineering (ECE)- 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.
Practice Test: Electronics Engineering (ECE)- 3 - Question 18

The energy of constant-amplitude complex valued exponential sequence is __________ (where A is the constant amplitude)

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 18

Practice Test: Electronics Engineering (ECE)- 3 - Question 19
Piecewise linear model of a diode shown in the figure

Determine the value of in the given circuit
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 19
Practice Test: Electronics Engineering (ECE)- 3 - Question 20

Which of the following is a microwave power amplifier?

Practice Test: Electronics Engineering (ECE)- 3 - Question 21
A carrier signal is amplitude modulated by a message signal m (t) = .If the modulation index is 0.5, then the power in USB is given by 
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 21
Practice Test: Electronics Engineering (ECE)- 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 Practice Test: Electronics Engineering (ECE)- 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.
Practice Test: Electronics Engineering (ECE)- 3 - Question 23
Determine the value of in the given circuit given = 100
 
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 23
Since is negative, so Transistor is in cut-off mode, therefore, = 0
and = 10V and =0
Therefore
= 10 volt
Practice Test: Electronics Engineering (ECE)- 3 - Question 24
Determine the value of in the circuit, assume op-amp is ideal.
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 24
= 11–10
= 1 volt
Practice Test: Electronics Engineering (ECE)- 3 - Question 25
Assume the op-amp is ideal the transfer characteristics of the circuit is
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 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.
Therefore, 
So transfer characteristic
Practice Test: Electronics Engineering (ECE)- 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 Practice Test: Electronics Engineering (ECE)- 3 - Question 26
= 4.65 mA
As the area of base-emitter junction of transistor is two times of So
Practice Test: Electronics Engineering (ECE)- 3 - Question 27
7 EH and 5 FH are XORed. The output is multiplied by 10 H. The result is
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 27 7EH - 01111110
5FH -  01011111
XORed 0010 0001 21H
Practice Test: Electronics Engineering (ECE)- 3 - Question 28
The minimal some of products form of is
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 28
The K-map of the above function

So, the required minimal SoP of f is
f =
Practice Test: Electronics Engineering (ECE)- 3 - Question 29
In a twin-wire transmission line in air, the adjacent voltage maxima are at 12 cm and 18 cm. The operating frequency is.
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 29 Adjacent maxima appear with a distance of

f = 2.5 GHZ
Practice Test: Electronics Engineering (ECE)- 3 - Question 30
A system has receiver noise resistance of 50W. It is connected to an antenna with an input resistance of 50W The noise figure of the system is.
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 30 The overall noise figure of the receiver is,


= 2
Practice Test: Electronics Engineering (ECE)- 3 - Question 31
For a parabolic reflector antenna with diameter of 3m, the far field pattern measurement at 10 GHz should be carried out at a distance of at least
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 31
Practice Test: Electronics Engineering (ECE)- 3 - Question 32
The dimension of the null space of the matrix A is, where
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 32 Since order of matrix is 3 × 3 and rank of matrix is 2
So, dimension of null space = 3 – 2 = 1
Practice Test: Electronics Engineering (ECE)- 3 - Question 33
Given that x is a random variable in the range with a probability density function f(x) the value of k is
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 33
Practice Test: Electronics Engineering (ECE)- 3 - Question 34

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 34

The limit is in the form of
By L-hospitals rule,

 

Practice Test: Electronics Engineering (ECE)- 3 - Question 35
The value of where the contour is the unit circle traversed clockwise is
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 35
Practice Test: Electronics Engineering (ECE)- 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 Practice Test: Electronics Engineering (ECE)- 3 - Question 36
Practice Test: Electronics Engineering (ECE)- 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 Practice Test: Electronics Engineering (ECE)- 3 - Question 37 Thevenin’s equivalent circuit is made by connecting 1A current source at the output and short circuiting the battery.

At node A,

Practice Test: Electronics Engineering (ECE)- 3 - Question 38
Determine the average power consume by the 4W resistor in the given circuit.
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 38
Practice Test: Electronics Engineering (ECE)- 3 - Question 39
A discrete-time x[n] is obtained by sampling an analog signal at 10 kHz. The signal x[n] is filtered by a system with impulse response h(n) = 0.5 { d [n] +d (n – 1]}. The 3 dB cut off frequency of the filter is.
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 39
Practice Test: Electronics Engineering (ECE)- 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 Practice Test: Electronics Engineering (ECE)- 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
and  which are calculated from denominator polynomial of the transfer function. For the system to be stable,
|
These two conditions (1) and (2) are satisfied only if = 0.5 among the given options.
Practice Test: Electronics Engineering (ECE)- 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 Practice Test: Electronics Engineering (ECE)- 3 - Question 41 Step response = integration of impulse response

Practice Test: Electronics Engineering (ECE)- 3 - Question 42
The impulse response of an LTI system is given as,

It represents a
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 42
Since for n < 0 or negative values of n. So, the system is non causal Also  represents a rectangular function with the representation as

This represents the characteristics of ideal low-pass filter.
Practice Test: Electronics Engineering (ECE)- 3 - Question 43

In the circuit shown below current through the resistor is shown. Voltage across 4 Ω resistor is: 

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 43

Voltage across 5 Ω = 10 V

Thus voltage across 7 Ω = 10 V (5 Ω || 7 Ω)

Practice Test: Electronics Engineering (ECE)- 3 - Question 44
Consider the control system shown in figure with feed forward action for rejection of a measurable disturbance d(t). The value of K, for which the disturbance response at the output y(t) is zero mean, is
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 44 For r(t) = 1

For no disturbance effect

At steady state, s = 0
K = –2
Practice Test: Electronics Engineering (ECE)- 3 - Question 45
The open loop transfer function of a system is .The angles of arrival of its root loci are
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 45 Angle of arrival
Practice Test: Electronics Engineering (ECE)- 3 - Question 46
Determine the maximum value of so that transistor remains in saturation region, Given b = 100 and =0 Volt
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 46 Small signal resistance,
Practice Test: Electronics Engineering (ECE)- 3 - Question 47
The small-signal resistance offered by the n-channel MOSPET M shown in the figure below, device transconductance parameter threshold voltage= 1 V.
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 47 Small signal resistance,
Practice Test: Electronics Engineering (ECE)- 3 - Question 48
Assuming op-amp is ideal, the magnitude of the transfer impedance in of the current to voltage converter in the given circui
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 48 Apply KVL at node A,

Practice Test: Electronics Engineering (ECE)- 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 Practice Test: Electronics Engineering (ECE)- 3 - Question 49
Practice Test: Electronics Engineering (ECE)- 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 4µm. For a reverse bias of 17.4 V the depletion layer width will be
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 50
Practice Test: Electronics Engineering (ECE)- 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 Practice Test: Electronics Engineering (ECE)- 3 - Question 51

and for ac analysis replace diode by its dynamic resistance

Practice Test: Electronics Engineering (ECE)- 3 - Question 52
Integrated output waveform for the dual slope ADC is shown in the figure. The time for an 10 bit counter with 5 mHZ clock will be.
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 52
Practice Test: Electronics Engineering (ECE)- 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 Practice Test: Electronics Engineering (ECE)- 3 - Question 53
Given, A = 0, and B = 0
So only C = 1 and D = 1 will give output 0
Y = 0
Practice Test: Electronics Engineering (ECE)- 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 Practice Test: Electronics Engineering (ECE)- 3 - Question 54 The state diagram of counter

So, output of DAC = 0 volt
Practice Test: Electronics Engineering (ECE)- 3 - Question 55
A full duplex binary FSK transmission is made through a channel of bandwidth of 20 KHZ.In each direction of transmission the two carriers used for the two states are separated by 6KHZ. The maximum baud rate for this transmission is.
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 55 Since the transmission is full duplex 10 KHz will be allocated for each direction
Bandwidth = Band Rate + ()
Given = 6 KHz
So, Band Rate = Band width - ()
= 10 KHz – 6
= 4000 bps
Practice Test: Electronics Engineering (ECE)- 3 - Question 56
The carrier signal is angle modulated by a message signal m(t) = .The deviation constant = 1.5 rad/V. Bandwidth of the modulated signal using Carson’s rule is.
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 56
= 2(12 + 1) × 10 KHz
= 260 KHz
Practice Test: Electronics Engineering (ECE)- 3 - Question 57
The output signal of an AM transmitter is expressed as .The ratio of power of carrier signal to power contained in single sideband is
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 57
= 450 W
Practice Test: Electronics Engineering (ECE)- 3 - Question 58
A frequency modulator has output . Where = 100 Hz/V and m (t) is shown in the figure. According Carson’s rule the bandwidth of s(t) is
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 58
= 500 Hz,
So Bandwidth = 2
2(500 + 200)
= 1400 Hz
Practice Test: Electronics Engineering (ECE)- 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 Practice Test: Electronics Engineering (ECE)- 3 - Question 59
Practice Test: Electronics Engineering (ECE)- 3 - Question 60
An air-filled rectangular waveguide has inner dimensions of 5cm × 4 cm. The wave impedance of the mode of propagation in the waveguide at a frequency of 18 GHZ is
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 60
Practice Test: Electronics Engineering (ECE)- 3 - Question 61
A load impedance 150 W is to be matched to a 600 W lossless transmission line by using a quarter wave line transformer. The characteristic impedance of the quarter wave transformer is required
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 61
Practice Test: Electronics Engineering (ECE)- 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 Practice Test: Electronics Engineering (ECE)- 3 - Question 62 The PDF of the random variable is

The cumulative distribution function F(x) is the probability upto x as given below
Practice Test: Electronics Engineering (ECE)- 3 - Question 63
If the matrix A is such that A = then the determinant of A is equal to
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 63
Practice Test: Electronics Engineering (ECE)- 3 - Question 64
The maximum value of in the interval [1,6] is
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 64
  = 21

= 41
So the maximum value of f(x) in interval [1, 6] is 41
Practice Test: Electronics Engineering (ECE)- 3 - Question 65

A rectangular waveguide, in dominant TE mode, has dimensions 10 cm x 15 cm. The cut off frequency is

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 65

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