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This mock test of Electronics And Communication Engineering (EC) : Mock Test 6 For GATE for GATE helps you for every GATE entrance exam.
This contains 65 Multiple Choice Questions for GATE Electronics And Communication Engineering (EC) : Mock Test 6 For GATE (mcq) to study with solutions a complete question bank.
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QUESTION: 1

The following plot shows a function y which varies linearly with x, the value of the integral of

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QUESTION: 2

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QUESTION: 3

The residues of the complex function

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QUESTION: 4

A and B throw a pair cf dice alternately. A wins if he throws 6 before B throws 7 and B wins if he throws 6 before A throws 7. A begins. Find the probability of A losing.

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QUESTION: 5

Identify which one of the following is not a tree of the graph shown in the figure

Solution:

abfg forms e loop and is not a tree of the graph. Definition of tree: A tree is a connected subgraph of a connected graph containing all the nodes of the graph but containing no loops.

QUESTION: 6

In the circuit below the voltage v(t) is _______________

.

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QUESTION: 7

The admittance parameter Y_{12} in the two port network is ______________ .

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QUESTION: 8

A common emitter amplifier shown in the figure is biased using a 1 mA ideal current source. The approximate base current value is

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QUESTION: 9

A 555 astable oscillator with R_{1} = 40 kΩ, R_{2} = 120 kΩ and C = 4.0 μF will oscillate at

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QUESTION: 10

The CMRR of the differential amplifier circuit shown is equal to

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QUESTION: 11

Heat sinks are used in power amplifier circuits

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QUESTION: 12

A circuit using an op - AMP is shown in the given figure it has

Solution:

Since the feedback current is proportional to the output voltage, it is a voltage shunt feedback amplifier.

QUESTION: 13

The number of unused states in a 4-bit Johnson counter is _____________

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QUESTION: 14

If the output of a logic gate is ‘1’ when all its inputs are at logic 'O' then the gate is either

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QUESTION: 15

When two non - linear systems S1 and S2 are connected in cascade the overall system is

Solution:

Y(t) - Si * S2 = linear

Exponential of any signal as non - linear

logarithm of any signal is non - linear

When two linear systems are connected in cascaded the

system is non - linear

Sim tarty two non linear systems are connected in cascaded then the system is linear

QUESTION: 16

The discrete time fourier transform of signal

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QUESTION: 17

y(t) = x(t) * h(t) then Express z(t)

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QUESTION: 18

The gain margin of a unity feedback control system with the open loop transfer function

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QUESTION: 19

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Transfer function of lag compensator Is in the form of T(s)

QUESTION: 20

The open-loop transfer function of a feedback control system is The break-away point of its root locus plot

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QUESTION: 21

A signal m(t) is multiplied by cosine wave form of frequency fc., (m(t) is not a sinusoidal) if fourier transform of m(t) is M(f), then the fourier transform of the product is

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QUESTION: 22

Autocorrelation of Non periodic wave form of finite energy and its energy spectral density are

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QUESTION: 23

Hilbert transform of a signal is

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QUESTION: 24

The magnetic field intensity vector of a plane wave is given by H (x, y, z, t) = 10 sin (1000t + 0.002x + 20) a_{y} where a_{y} denotes the unit vector in y-direction. The wave propagating with a phase velocity

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QUESTION: 25

Distilled water at 35°C is characterized by 2GHz then its loss tangent is

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QUESTION: 26

The orthogonal trajectory of the family of curves xy = k^{2} is

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QUESTION: 27

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QUESTION: 28

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QUESTION: 29

Solve the partial differential equation pe^{2y} = qe^{2x}.

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QUESTION: 30

The current I in the figure shown below is?

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QUESTION: 31

In the circuit shown below, the value of R is

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QUESTION: 32

Impedance matrix for the two-port network shown in the figure is

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QUESTION: 33

In the following figure, if V_{DD} = +10 V and -V = -10 V, what ratio of R_{2}: R_{1} should be used to obtain V_{Gs} = 8.5 V.

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QUESTION: 34

Determine the thevenin equivalent circuit for the transistor network, external to the resistor R_{L} (i.e. between terminals A and B) Input Impedance of base = 2.3 kΩ, β = 100.

Solution:

For DC conditions V_{L} = 0

AC equivalent circuit for the given network consist of 2 3 kn resistor and controlled current source whose magnitude is 100 times the current I_{1}

Transistor equivalent circuit

From the above equivalent circuit Z^{th}, = 3kΩ

QUESTION: 35

A class B push pull power amplifier is supplied with V_{cc} = 50V. The signal swings the collector voltage down to V_{min} = 5V. The total dissipation in both transistors is 40W. Find conversion efficiency.

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QUESTION: 36

For the circuit shown in the following the capacitor C is initially uncharged. At t = 0 the switch is closed. The voltage Vc across the capacitor at t = 1 ms is ?

Op AMP supply with ±15 V & the ground has been shown.

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QUESTION: 37

Boolean expression for the shaded area in the given venn diagram is

Solution:

AB + BC + CA

QUESTION: 38

The following sequence of instructions is executed by an 8085 microprocessor.

1000 LXI SP, 27FF

1003 CALL

1006 1006 POPH

What are the contents of the stack pointer (SP) and the HL register pair after completion of execution of these instructions?

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QUESTION: 39

The circuit shown use JFET with g_{m} = 3000 μs, the value of A_{v} is ____________

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QUESTION: 40

To which one of the following difference equationsthe impulse response,

h(n) = δ(n + 2) - δ(n - 2) corresponds to?

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QUESTION: 41

Which one of the following is the correct statement forThe continuous time system described by y(t) = x(t^{2})

Solution:

it is linear because it has no square of signal, it is non-causal because input depends on future value.

It does not satisfy two rules so it is time- variable.

QUESTION: 42

In LTI system the values of a and b for the impulse response-is

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QUESTION: 43

A system has an open-loop transfer function of and it has a feedback whose transfer function is H(s) = 1 + Ts. What should be the value of T so that the dosed-loop system operates in a stable manner?

Solution:

Characteristic equation of the system is given by

For the system to be stable, the elements of first column of rotith array must be zero.

QUESTION: 44

A feed back control system is described by input, the steady state error is ______________.

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QUESTION: 45

The tuned circuit of the Oscillator in a simple AM transmitter employs a 50μH coil and 2nF capacitor. If the output of oscillator is modulated by Audio frequency 10KHz, what is the range of side bands,

Solution:

Since the highest modulated frequency is 10KHz, the frequency range occupied by the sidebands will range from 10 KHz above and below the earner extending from 513.3 KHz to 493.3 KHz.

QUESTION: 46

The SNR of an FM limiter - descriminator demodulator is? When input signal strength = 0.5W, maximum frequency deviation = 60 k Hz, base band signal cut off frequency = 15Khz, received white Gaussian noise power sprectral density = 10^{-8} W/Hz and the average power of modulating signal is = 0.1W

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QUESTION: 47

Match list - I (laws) with list - n (applications) and select the correct answer using the codes given below the lists

Codes:

a b c d

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QUESTION: 48

The reflection coefficient is

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QUESTION: 49

The intrinsic impedance of the region z > 0 is

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QUESTION: 50

Use given above data and find Fi

Solution:

F_{1}=Sum of FA

QUESTION: 51

Use above data and find F_{2}

Solution:

F_{2}= Carry of FA

QUESTION: 52

A discrete source transmits meriages X1, X2, X3, with the probability 0.3, 0.4, 0.3, given in figure.

Q.

Then H(X, Y) is

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QUESTION: 53

A discrete source transmits meriages X1, X2, X3, with the probability 0.3, 0.4, 0.3, given in figure.

H(Y/X) is

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QUESTION: 54

For the continuous signal x(t) shown in the fig draw The following signals

Q.

What is the signal x(-t)

Solution:

The signal Is a folded signal. so

QUESTION: 55

For the continuous signal x(t) shown in the fig draw The following signals

What is the x(-(t + 1))

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QUESTION: 56

China’s rising economic clout and assertiveness isbeing viewed with some ____________ in the neighbouring regions.

Solution:

The words 'clout’ and ‘assertiveness’ point to fear or ■trepidation'.

QUESTION: 57

Combining the protection and use of heritage structures with the demands of rapid urbanization has become a ___________________ .

Solution:

Nuisance and trial can easily be ruled out because of their negative connotation which is not indicated in the sentence. 'A difficulty’ should be followed by a qualifying phrase and cannot end the sentence. Hence only challenge is suitable.

QUESTION: 58

Select the word that is SIMILAR in meaning to the head word.

CONSIDERED

Solution:

Considered means ‘understood’, or 'regarded'.

QUESTION: 59

The question below consists of a pair of related words followed by four pairs of words. Select the pair that shares a similar relationship as the original pair.

MUSICIAN : BAND

Solution:

A musician conducts a band and but he doesn’t create it. Similarly, a scientist conducts experiments. Except choice 4 all the options show a creator/creation relationship.

QUESTION: 60

Select the correct alternative from the given choices.

Five friends - Pompom, Tultul, Tutun, Babul and Parul, are standing in a row in increasing order of their heights from right to left Neither Babul nor Tutun is standing at any of the extreme ends. Parul is not taller than Tultul. Parul has as many persons not taller than him as Tultul has as many persons not shorter than him. Which of the following is definitely true?

Solution:

From the given information, it is clear that as Babul and Tutun are not at any of the extreme ends, so Parul and Tultul must be at extreme ends. As, Parul is shorter than Tultul, Tultul is the tallest

QUESTION: 61

How many times should the keys of a type writer be pressed in order to type the first 299 natural numbers? (No spaces are left between the numbers)

Solution:

To type single-digit natural numbers from 1 to 9, 9 keys must be pressed. To type two-digit natural numbers from 10 to 99, the keys of the typewriter must be pressed 90 x 2 = 180 times.

To type the 200 three-digit numbers from 100 to 299, the keys of the type writer must be pressed 3 x 200 = 600 times. Hence, the total number of times the keys of the type writer must be pressed = 9 + 180 + 600 = 789 „

QUESTION: 62

The details of area, total population, urban population and the number of literate of certain states are given in the following table. Study the table and answer the questions that follow.

Q.

In all the states whose population of literates is more than 110 lakhs but less than 305 lakhs, which state has the highest density of population?

Solution:

There are many states that satisfy the given condition of literates, hence it is better to focus on the states in the given choices. The density of population in

QUESTION: 63

The details of area, total population, urban population and the number of literate of certain states are given in the following table. Study the table and answer the questions that follow.

Q.

What is the literacy rate of the state which has the third highest rural population? (in lakhs)

Solution:

Madhya Pradesh has the third highest rural population. The literacy rate of Madhya Pradesh

QUESTION: 64

Only if X works, then W works. Unless Y works, W works. If Z does not work, then Y works. Who among W, X, Y and Z, if not working, can definitely lead to the conclusion that the other three are definitely working?

Solution:

So we can say that if Y is not working then W, X and Z all are working.

QUESTION: 65

The following question has a paragraph followed by four alternative ways of summarising the same. Choose the option that best captures the essence of the paragraph.

Within the last decade, there has emerged a second generation of “modernist’ critics which has been far less interested in sketching the broad outlines of a modernist movement; instead, they want to expose the diversity within “modernism’ and to explore ‘modernism’s’ institutional alliances and strategies.

That is, to what degree was “modernism" selfconsciously constructed by its practitioners and by its critics, and how did various social and market forces help shape the practices of “modernism"? Or, as the editors of Modem Art and Modernism phrase it, the task now is “to examine both the circumstances under which modem art has been produced, and those under which critical theories and forms of interpretation have themselves been produced."

a. The second generation of modernist critics that has become prominent during the last decade, has focussed on delineating the broad contours of the modernist movement. They have also attempted to shed light on the various influences on this genre.

b. A second generation of modernist critics that has emerged during the last decade, seeks to understand the diversity in modernism and the factors and circumstances underlying it.

c. A second generation of modernist critics as exemplified by the editors of ‘Modern Art and Modernism’ are attempting to understand the various market forces that have shaped modernism durina the last decade.

d. A second generation of modernist critics who have emerged during the last decade has attempted to self-consciously construct modernism as done by its practitioners and critics. They have also attempted to outline the salient aspects of modernism.

Solution:

The paragraph focusses on the area of study of modernist critics. They are interested in the diversity in modernism and how it came about. Choice (B) captures this. Choice (A) is factually incorrect and so is choice (D). Choice (C) is incomplete.

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