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

General solution of the differential equation x^{2}dy + y(x + y) dx = 0 is

Solution:

QUESTION: 2

If the system of equations αx + 3y + 5z = 0, 2x - 4αy + αz = 0, -4x + 18y + 7z = 0 has infinite number of solutions, then the value of α is

Solution:

System AX = 0 has infinite number of solutions, then |A| = 0

QUESTION: 3

In false position method the value of x(^{1}) is obtained by the formula

Solution:

QUESTION: 4

If y = f(x) is the solution of the initial value problem

Solution:

QUESTION: 5

A series RLC circuit consisting of R = 10Ω, I X_{L }I = 20Ω and I X_{c }I = 200, is connected across an a.c supply of 200 Vrms. The rms voltage across the capacitor is

Solution:

QUESTION: 6

Two 2H inductance coils are connected in series and are magnetically coupled to each other, the coefficient of coupling being 0.1. The total inductance of the combination can be ______________ .H

Solution:

QUESTION: 7

The number of independent loops for a network with ‘n’ nodes and 'b' branches is

Solution:

QUESTION: 8

An infrared LED is usually fabricated from

Solution:

Gallium Arsenide.

QUESTION: 9

A small concentration of minority carriers is injected into a homogenous semiconductor crystal at one point. An electric field of 10 V.cm^{-1} is applied across the crystal and this moves the minority carriers a distance of 1cm in 20μsec. The mobility (in cm^{2}/Volt.sec) will be _____________ .

Solution:

QUESTION: 10

The diffusion potential across a P-N junction

Solution:

QUESTION: 11

The minimum number of NAND gates required to implement the Boolean function A+ AB + ABC is equal to

Solution:

QUESTION: 12

A 12bit ADC is operating with a 1μsec clock period and the total conversion time is seen to be 12μsec. The ADC must be of the

Solution:

n x clock period = conversion time for successive approximation type ADC, where ‘n’ is the no of bits.

QUESTION: 13

is used as the chip select logic of a 4 K RAM in an 8085 system, then its memory ranne will he

Solution:

QUESTION: 14

The current gain of a bipolar transistor drops at high frequencies because of

Solution:

Because of internal capacitances, there is a feed back from output to input, which reduces gain.

QUESTION: 15

Assume that the op-amp in the figure is ideal. If V, is a triangular wave, then V0 will be

Solution:

The circuit is a differentiator. A triangular wave differentiated will be a square wave.

QUESTION: 16

In a transistor push pull amplifier

Solution:

D.C and even harmonics are removed at the output of push pull amplifier.

QUESTION: 17

For a random variable x following the probability density function p(x) shown in figure, the mean and the variance are respectively.

Solution:

QUESTION: 18

A super heterodyne radio receiver with an intermediate frequency of 455 KHz. is tuned to a station operating at 1200 KHz. The associated image frequency is _____________ KHz

Solution:

QUESTION: 19

A rectangular pulse of duration T is applied to a filter matched to this input. The output of the filter is a

Solution:

A rectangular pulse convolved with another rectangular pulse is a triangular pulse.

QUESTION: 20

Solution:

QUESTION: 21

Which of the following signals is / are periodic?

1. S(t) = Cos 2t + Cos 3t + Cos 5t

2. S(t) = exp (j8π t)

3. S(t) = exp (-7t) Sin 10πt

4. S(t) = Cos 2t Cos 4t

Solution:

Only (1) and (2) satisfies S{t) = S(t + T).

QUESTION: 22

The fourier series of an odd periodic function, contains only

Solution:

Odd periodic function will have only Sine terms, Cosine terms will be vanished.

QUESTION: 23

For a second order system, damping ratio, (ξ,) is 0 < ξ < 1, then the roots of the characteristic polynomial are

Solution:

For 0 < ξ < 1, system is under damped, roots are complex conjugate.

QUESTION: 24

The unit impulse response of a linear time invariant system is the unit step function u(t). For t > 0, the response of the system to an excitation e^{-at} u(t), a > 0 will be

Solution:

QUESTION: 25

The phase velocity of waves propagating in a hoilow metal wave guide is

Solution:

Phase velocity will be greater than 3x10^{8}m/s.

QUESTION: 26

Solution:

-i/2,i/2both are inside the contour, by cauchy Integral formula

QUESTION: 27

A bag contains five balls and it is not known how many of them are white. It is observed that two balls drawn from the bag at random are white. Find the probability that ail the balls in the bag are white.

Solution:

Let E_{i}( be the event of the bag containing i white balls only for i = 1, 2, 3,4, 5.

Minimum number of white balls is 2.

AD the four likely events E_{2}, E_{3}, E_{4}, E_{5} are equally likely and

QUESTION: 28

Solution:

QUESTION: 29

the closed region consisting of the cylinder x^{2} + y^{2} = 9 and the circular disk z = 0 and z = 2.

Solution:

QUESTION: 30

For the JFET amplifier shown in figure, the JFET is having μ = 50 and rd = 10 KΩ.The external resistors are R_{d} =10KΩ, R_{s}= 2 KΩ. The a.c small signal mid band voltage gain is

Solution:

QUESTION: 31

An amplifier has an open loop gain of 100, and its lower and upper cut- off frequency are 100 Hz and 100 KHz respectively. A feed back network with a feed back factor of 0.99 is connected to the amplifier. The new lower and upper cut off frequencies are at

Solution:

QUESTION: 32

In the amplifier shown above, neglect the effects of R_{1} and R_{2}, R_{o} seen by the output terminals is

Solution:

QUESTION: 33

The figure shows a mod-K counter, here K is equal to

Solution:

QUESTION: 34

A sequential circuit using O-flip flop and logic logic gates is shown in figure, where X and Y are the inputs and Z is the output. The circuits is

Solution:

QUESTION: 35

For the Boolean function

minimal SOP expression is

Solution:

QUESTION: 36

The pulse rate in a DM system is 56,000 per sec. The input signal is 5 cos (27π1000t) + 2 cos (27π2000t), with 't' in sec. The minimum value of step size which will avoid slope overload distortion is

Solution:

QUESTION: 37

A signal is sampled at 8KHz and is quantized using 8-bit uniform quantizer. Assuming SNRq for a sinusoidal signal, the correct statement for PCM signal with a bit rate of R is

Solution:

QUESTION: 38

Consider the system shown in figure. For damping ratio of 0.5, the value of 'a’ is ____________

Solution:

QUESTION: 39

Match of following

Solution:

QUESTION: 40

A system described by the transfer function H(s) =

and K are

Solution:

QUESTION: 41

Tne open-loop DC gain of a unity negative feed back system with closed loop transfer function

Solution:

QUESTION: 42

The cross sectional dimensions of an air filled wave guide are a = 2.29 cm and b = 1.02 cm. What is the cut off frequency of the dominant mode

Solution:

a > b, the dominant mode is TE10, the cut off frequency

QUESTION: 43

A lossless transmission line is terminated in a load which reflects a parts of the incident power. The measured VSWR is 2. The percentage of the power that is reflected back is _____________

Solution:

QUESTION: 44

Two of the angular frequencies at which its fburiertransform becomes zero are

Solution:

QUESTION: 45

A 5-point sequence x(n) is given as x(-3) = 1, x(-2) = 1, x(-1) = 0, x(0) = 5, x(1) = 1. Let X(e^{jw})denote the discrete time fourier transform of x(n). The value of

Solution:

QUESTION: 46

The frequency response of a linear, time - invariant system is given by The step response of the system is

Solution:

QUESTION: 47

A TE_{10} rectangular wave guide is to be designed foroperation over 25 - 35GHz and the band center is1 -5times the cut ofF frequency, what should be thedimensions of the broadside

Solution:

QUESTION: 48

The thevenin equivalent of the sub circuit faced by the capacitor across the terminals a, b is

Solution:

QUESTION: 49

The expression for Vc(t), t > 0 assuming Vc(o) = 0 is

Solution:

QUESTION: 50

The admittance parameters of a two-port network shown in figure, given by Y_{11} = 2 mho, Y,_{12} = -0.5 mho, Y_{21} = 4.8 mho, Y_{22} = 1mho. The output port is terminated with a load admittance Y_{L} = 0.2 mho.

Q.

The value of V2 for V1 = 10 ∠0° volts is

Solution:

QUESTION: 51

The admittance parameters of a two-port network shown in figure, given by Y_{11} = 2 mho, Y,_{12} = -0.5 mho, Y_{21} = 4.8 mho, Y_{22} = 1mho. The output port is terminated with a load admittance Y_{L} = 0.2 mho.

Q.

The value of V2 forI1 = 10 ∠0° A is

Solution:

QUESTION: 52

Q.

The input impedance seen by the source is

Solution:

QUESTION: 53

Q.

The mid band voltage gain Av is

Solution:

QUESTION: 54

In the figure is a linear time invariant discrete time system is shown. Blocks labelled D represents unit delay elements. For n < 0, assume that x(n), y-_{1}(n), y_{2}(n) are all zero.

Q.

The expression relating yi(n) and x(n) is

Solution:

QUESTION: 55

In the figure is a linear time invariant discrete time system is shown. Blocks labelled D represents unit delay elements. For n < 0, assume that x(n), y-_{1}(n), y_{2}(n) are all zero.

Q.

Solution:

QUESTION: 56

Fill in the blanks in the given sentence so as to make it logically and grammatically correct. Select the correct words from the answer choices and mark its number as your answer.

Q.

Owls can detect and ______________ prey in total darknesswith the help of sound.

Solution:

Catch can fallow detection.

QUESTION: 57

Fill in the blanks in the given sentence so as to make it logically and grammatically correct. Select the correct words from the answer choices and mark its number as your answer.

Q.

Besides singing, the artist is well ______________ in the art of playing musical instruments.

Solution:

Well-versed means 'adept' and suits the context.

QUESTION: 58

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

Q.

TORTURED

Solution:

Tortured means Tormented’.

QUESTION: 59

In the following question a capitalized pair of words is given followed by four numbered pairs of words. Three of the numbered pairs exhibit the same relation between the words as the capitalised pair of words. Identify the numbered pair which does not exhibit the same relationship as the capitalised pair and mark its number as your answer.

Q.

CHARACTER :NOVEL

Solution:

A novel has characters. A film has actors, an advertisement has models and a ballet has danseuse. A play has a producer but the producer is the maker not a part of the play.

QUESTION: 60

Two persons Arun and Kiran started from a temple and travelled in two opposite directions. Each one of them moved 7km straight followed by another 7km to their left. Further they travelled 7km to their right followed by another 7km to their right. Now if Arun is to the south of Kiran, then in which direction did Kiran start his journey from the temple?

Solution:

As Arun is in South to Klran we can say that Kiran started his journey towards North.

QUESTION: 61

There are 30 terms in an arithmetic progression. The second and third terms are distinct integers. The ratio of the sum of first 20 terms and the sum of the first 10 terms equals twice the ratio of the second and first terms. Which of the following can be the sum of all its terms?

Solution:

Let the first term and the common difference be a and d respectively.

QUESTION: 62

A is an arithmetic progression of 13 terms. G is a geometric progression of 13 terms. The product of the terms of G is 8192. The sum of the terms of A is 26. Find the sum of the seventh terms of A and G.

Solution:

In an arithmetic progression with an odd number of terms, the middle term Is the arithmetic mean of all the terms. In a geometric progression with an odd number of terms, the middle term is the geometric mean of all the terms.

QUESTION: 63

The students of three classes, A, B and C take a test. The average marks per student of the classes A and B put together is 71. The average marks per student of the classes B and C put together is 76. The average per student marks of the class A and C put together is 79. Find the range of the average marks (p) of all the three classes put together.

Solution:

Let the number of students in the three classes be n_{A}, n_{B} and n_{c} and the total scores of students In the three classes be T_{a}, T_{b} and T_{c} respectively.

QUESTION: 64

A selection of six persons has to be made from three groups which contain three persons each.

Pi, P2, P3 belong to group A,

P4. Ps, Pa belong to group B.

P7. Pa, P9 belong to group C.

If P5 is selected then Pi must be selected. If P8 is selected, then Pi cannot be selected. At least one of Pa and P9 must be selected. Pa and P8 cannot be selected together. If at least one person has to be selected from each group, all the three persons of

which group cannot be selected together?

Solution:

All the persons of Group A can be selected In the following manner without violating any of the conditions given:

P_{1}, P_{2}, P_{3}. P_{5}. P_{9}, P_{8}.

If P_{4}, P_{5}, P_{6}, are selected, then P_{9} cannot be selected.

Pa must be selected.

Pi cannot be selected.

(which violates one of the given condition.)

P4, P_{5}, P_{a}, i.e., all the persons of Group B, cannot be selected together.

All the persons of Group C can be selected In the following manner without violating any of the condition given:

P_{7}, P_{8}, P_{9}, P_{2}, P_{3}, P_{6.}

QUESTION: 65

Imperialism - the system of military, political, economic and cultural domination of the Third World by its former colonial masters - was historically the outgrowth of capitalist development in the West. In the economic sphere, it is characterised by the exploitation of natural and human resources in the Third World by western capitalist enterprises. Although bourgeois economists were in agreement with classical Marxists - including Lenin, Luxemburg and Marx - that imperialism, or western investment in developing countries, would be an agent of capitalist development in the Third World, modern-day theorists of imperialism - including dependency theorists and world-system’ analysts following Andre Gunder Frank and Immanuel Wallenstein - argue that it retards such development,

a. Imperialism, the all-encompassing domination of developing countries by their former rulers, was a consequence of Western capitalist development. Economic imperialism refers to the exploitation of Third World resources by western capitalists. Whereas bourgeois and classical marxist economists believe that this results in development, the dependency theorists and world-system analysts differ.

b. Western economists are divided over whether economic imperialism is beneficial to developing counties. The bourgeois and classical marxists say that it ensures development but the dependency theorists and world system analysts feel that it does more harm than good. Economic imperialism is the exploitation of developing countries by the west.

c. Economic imperialism is the exploitation of Third World nations by capitalists. The dependency theorists and world-system analysts feel that it promotes development, but the bourgeois and classical marxists disagree. Imperialism was a consequence of western capitalism.

d. Western capitalist growth was consequent on imperialism. Economic imperialism is the exploitation of the Third World by the West. While bourgeois and classical marxists economists believe otherwise, dependency theorists and world-system analysts believe that capitalist growth is limited by such imperialism.

Solution:

The text mentions three ideas.

(1) The definition of imperialism and its origin;

(2) what economic imperialism l3 and;

(3) the deferring views on whether it benefits the Third Worid.

Only choice (A) captures ali three ideas conectiy and adequately.

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