Electronics and Communication Engineering (ECE) > GATE ECE (Electronics) 2024 Mock Test Series > Practice Test: Electronics Engineering (ECE)- 3
Practice Test: Electronics Engineering (ECE)- 3 - Electronics and Communication Engineering (ECE)
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65 Questions MCQ Test GATE ECE (Electronics) 2024 Mock Test Series - Practice Test: Electronics Engineering (ECE)- 3
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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
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
Practice Test: Electronics Engineering (ECE)- 3 - Question 2
Which of the following is most similar in meaning to the given word
DIRE
DIRE
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 2
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
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
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.
%. 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
%
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
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
stripe can be coloured in 4ways, 
in 3, 
in 3 and so on.
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 10
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
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)
g(t) = 4x (t)
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 12
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
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 
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
= 2kHz
= 2 × 2
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
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
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
Increases, disturbance decreases, But gain also decreases. This is not desirable.
increases, disturbance increases, since noise links with 
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
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
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
is ON.
is Zero.
Practice Test: Electronics Engineering (ECE)- 3 - Question 23
Determine the value of 
in the given circuit given 
= 100
in the given circuit given = 100
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 23
is negative, so Transistor is in cut-off mode, therefore, 
= 0
= 10V and 
=0
Practice Test: Electronics Engineering (ECE)- 3 - Question 24
Determine the value of 
in the circuit, assume op-amp is ideal.
in the circuit, assume op-amp is ideal.
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 24
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
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.
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
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
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
Practice Test: Electronics Engineering (ECE)- 3 - Question 28
The minimal some of products form of 
is
is
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 28
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
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
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
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
with a probability density function f(x) the value of k is
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 33
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 34
Practice Test: Electronics Engineering (ECE)- 3 - Question 35
The value of 
where the contour is the unit circle traversed clockwise is
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.
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
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
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
and 
which are calculated from denominator polynomial of the transfer function. For the system to be stable,
= 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
Practice Test: Electronics Engineering (ECE)- 3 - Question 42
The impulse response of an LTI system is given as,
It represents a
It represents a
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 42
for n < 0 or negative values of n. So, the system is non causal Also 
represents a rectangular function with the representation as
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
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
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
.The angles of arrival of its root loci are
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 45
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
so that transistor remains in saturation region, Given b = 100 and =0 Volt
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 46
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.
threshold voltage= 1 V.
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 47
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
of the current to voltage converter in the given circui
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 48
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
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
= 26 mV,0.7 V and h = 1 and C is very large
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 51
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.
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
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
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
)
= 6 KHz
)
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.
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
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
.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
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
. 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,
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.
.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
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
Practice Test: Electronics Engineering (ECE)- 3 - Question 63
If the matrix A is such that A = 
then the determinant of A is equal to
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
in the interval [1,6] is
Detailed Solution for Practice Test: Electronics Engineering (ECE)- 3 - Question 64
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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