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This mock test of Electronics And Communication Engineering (EC) : Mock Test 7 For GATE for Electronics and Communication Engineering (ECE) helps you for every Electronics and Communication Engineering (ECE) entrance exam.
This contains 65 Multiple Choice Questions for Electronics and Communication Engineering (ECE) Electronics And Communication Engineering (EC) : Mock Test 7 For GATE (mcq) to study with solutions a complete question bank.
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QUESTION: 1

For the function f(x) = x^{3} ex, the minimum value occurred when x is equal to

Solution:

QUESTION: 2

The system of equations

ax + by + (aa + b)z = 0; bx + cy + (ba + c) z = 0; (aa + b)x + (ba+ c) y = 0.

has infinite number of non-triviaf solutions, then which of the following is true?

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QUESTION: 3

Find the residue of

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QUESTION: 4

Obtain the taylor series of the function in the region

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QUESTION: 5

The dependent current source shown in circuit

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*Answer can only contain numeric values

QUESTION: 6

The minimum number of equations required to analyze the circuit shown in the figure below is _____

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QUESTION: 7

The condition on R, L and C such that the step response y(t) in the figure has no oscillations, is

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*Answer can only contain numeric values

QUESTION: 8

V_{T} = 1V&

I_{DS} = 0.5 mA For the given figure ( NMOS circuit) the value of V_{DS} is __________V

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QUESTION: 9

Current through a Silicon diode is 60 mA at a Forward bias of 0.95 V then the values of AC and DC Resistance of diode are?

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QUESTION: 10

In the given figure, the zener diode D_{1} has a reverse saturation current of 20 μA and a reverse saturation breakdown voltage of 100 V : The corresponding values for D_{2} are 50 μA & 30 V. The current in the circuit is given by

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QUESTION: 11

The range of the voltage gain adjustment in the following circuit is?

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QUESTION: 12

A transformer coupled class-A large signal amplifier has maximum and minimum values of collector- emitter voltage of 25V and 2.5V. The collector efficiency is?

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QUESTION: 13

For the circuit shown in the given figure the frequency of the output Q will be

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QUESTION: 14

The function ‘F’ implemented by the multiplexer chip shown in the figure is :

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QUESTION: 15

In a microprocessor the register which holds the address of the next instruction to be fetched is

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QUESTION: 16

The convolution product of

x[n] = {1.2, ,3,4.} 0 __<__ n __<__ 3

h(n) = (1, ,2 1, -1} 0 __<__ n __<__ 3 is?

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QUESTION: 17

If the step response of a causal, linear time invariant system is a(t) then the response of the system to a general input x(t) would be

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QUESTION: 18

For what value of ‘a’ does the system shown in the figure have a zero steady state error for a step input?

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QUESTION: 19

The measurement system shown in the figure uses three sub-systems in cascade, whose gains are specified asThe relative small errors associated with each respective sub-system are ei, e_{2 }and e_{3}. The error associated with the output is

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QUESTION: 20

The first two rows of Routh's tabulation of a third order equation are as follows.

This means there are

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QUESTION: 21

A broadcast radio transmitter radiates 10KW. When the modulation index is 0.6, the amount of carrier power, modulating wave power are?

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QUESTION: 22

If P_{k} is the probability of a message being received or transmitted, the amount of information l_{k} associated in a bit is

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*Answer can only contain numeric values

QUESTION: 23

Consider limiter - Discriminator based FM demodulation with a sinusoidal modulation signal with maximum frequency deviation 60 KHz and base filter width 12kHz, the figure of merit is ____

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QUESTION: 24

A TEM wave impinges obliquely on a dielectric boundary with ∈_{r1} = 4 & ∈_{r2} = 3. The angle of incidence of total reflection is

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QUESTION: 25

Stoke's theorem relating the line integration to surface integration states that

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QUESTION: 26

The distribution function of a discrete random variable x is as follows:

The probability that X will take odd values is

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QUESTION: 27

Using Runge-Kutta method find the approximate value of y, when x = 0.1 given that when x = 0; y = 1

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QUESTION: 28

where S is the surface of the sphere x^{2} + y* + z^{2} = 16.

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QUESTION: 29

The particular integral of the different equation

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QUESTION: 30

Which one of the following statment is true of the circuit show in the given figure ?

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QUESTION: 31

The Thevenin's equivalent voltage Vm appearing between the terminals A and B of the network shown in figure is given by

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QUESTION: 32

In the case of the RLC circuit shown in the given figure, the voltage across the R, L and C would respectively be

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QUESTION: 33

The transconductance of a transistor as shown in figure is 10 mS. The value of the input resistance R_{in} is

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QUESTION: 34

Calculate the resistivity of semiconductor material using given data

Mobility of free electrons and holes in pure Geremanium are 2400 cm^{2} / v - s, and 1450 cm^{2} / v - s, assume n_{i} = 2.5 x 10^{13} cm^{-3} for Ge.

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QUESTION: 35

Match list - I (Name of the oscillator) with list - II (characteristics) and select the correct answer using the code gives below the lists

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QUESTION: 36

Select the correct output (V_{o}) wave - shape for a given input (V_{1}) in the given network

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QUESTION: 37

**Q. **

**What is the function of diode (D) ?**

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QUESTION: 38

P. An 8-bit wide 4-word sequential memory will have

Q. A 256 x 4 EPROM has

1. 8 fixed AND gates and 4 programmable OR gates

2. Eight, 4 bit shift registers

3. 4 words of 32 bits each

4. 8 address pins and 4 data pins output

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QUESTION: 39

Dual scope integration type Analog-to-digital converter provides

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QUESTION: 40

x(t) is a positive rectangular pulse from t = -1 to t = +1 with unit height as shown in figure. The value of

{where X(ω) is the Fourier transform of x(t)}

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QUESTION: 41

Given the finite length input x{n] and the corresponding finite length output y[nj of an LTI system as shown below, the impulse response h[n] of the system is

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QUESTION: 42

If a signal f(t) has energy 'E' the energy of the signal f (2t) is equal to

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QUESTION: 43

For the loop transfer function

The phase cross over frequency is

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QUESTION: 44

The Hilbert transform of cos wit + sinw_{2}t

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QUESTION: 45

The transmission band width of DSB-SC and SSB wave are (f_{ra} - Modulating signal BW)

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QUESTION: 46

Let E = (-200a_{x} + 30a_{y} + 70a_{z}) cos 10^{4 }t V/m at point 'P which lies on the surface of a perfect conductor P (3, -4,1). If a material adjacent to the conductor has ∈_{r} = 5, μf = 0, σ = 0, then surface charge density on the conductor surface at P

Solution:

QUESTION: 47

An electric field in free space is given as

E = 800 cos (10^{a}t - βy)a_{z} V/m,

find (p) β, (q) λ

Solution:

QUESTION: 48

The Antenna current of an AM transmitter is 9A, when only the carrier is sent. But it increases to 9.36A when the carrier is modulated by a single sine wave. Then the percentage of modulation is

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QUESTION: 49

The Antenna current, when the percent of modulation changes to 0.8 is

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QUESTION: 50

A system is described by the following state and output equations

where u(t) is the input and y(t) is the output.

**Q. **

**The system transfer function is**

Solution:

QUESTION: 51

A system is described by the following state and output equations

where u(t) is the input and y(t) is the output.

**Q. **

**The state-transition matrix of the system is**

Solution:

QUESTION: 52

The following Karnaugh map represents a function F.

**Q. **

**The minimized form of the function F is**

Solution:

QUESTION: 53

The following Karnaugh map represents a function F.

**Q. **

**Which of the following circuits is a realization of the above function F?**

Solution:

QUESTION: 54

The electric field intensity of a linearly polarized uniform plane wave propagating in the +z direction in sea water is E = a_{x} cos (1Q^{7}πt) V/m at z = 0. The constitutive parameters of sea water are ∈_{r}, = 72, μ_{r} = 1 & σ ~ 4 S/m

**Q. **

**Attenuation constant, phase constant are**

Solution:

QUESTION: 55

The electric field intensity of a linearly polarized uniform plane wave propagating in the +z direction in sea water is E = a_{x} cos (1Q^{7}πt) V/m at z = 0. The constitutive parameters of sea water are ∈_{r}, = 72, μ_{r} = 1 & σ ~ 4 S/m

**Q. **

**Phase velocity & skin depth are**

Solution:

QUESTION: 56

**Directions for questions 56 and 57:** Select the most appropriate word from the options given below to complete the following sentences.

**Q. **

**The rising popularity of jute items has prompted the need for small and mid-sized companies to__________ their processes to introduce better designs.**

Solution:

QUESTION: 57

In the telecom industry_______ are multiplied by theconstant introduction of new offerings, not to mention new competition.

Solution:

QUESTION: 58

**Directions for question 58:** From the choices, pick the word that is closest in meaning to the head word.

**BELIE**

Solution:

QUESTION: 59

**Directions for question 59:** The question below consists of a pair of related words followed by four pairs of words. Select the pair that expresses the same relation as in the original pair

Solution:

QUESTION: 60

Suresh started from his house and travelled 5 kms towards the East. Then he turned to his left and travelled 10 kms. Again turned to his right and travelled 5 kms. Finally he traveled 11 kms to his right to reach the office. Approximately how far is his office located from his house and in which direction?

Solution:

QUESTION: 61

A certain amount of money is divided among nine brothers. The second brother gets Rs. 2 more than twice the amount given to the first brother. The third brother gets Rs.3 more than thrice the amount given to the first brother, and so on till the ninth brother. If the ratio of the amount with the ninth brother to the amount with the first brother is 10 : 1, how much did the fifth brother get (in Rs.)?

Solution:

QUESTION: 62

The sum of the squares of three terms in arithmetic progression is 365. The product of the first and the third terms is 120. Find the sum of the squares of the second term and the common difference.

Solution:

QUESTION: 63

In which of the following bases is 2454 a perfect cube?

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QUESTION: 64

In “Kaun-kaun" Island, there are two tribes - “Yes-type” and “No-type”. The people of “Yes-type" tribe always pose a question, the answer to which is "Yes" and the people of *No-type" always pose-a question the answer to which is “No”. H and M are two persons from that island. For which of the following questions of M, will the answer of H be unique?

l. “Am I of Yes-type”?

II. “Do both of us belong to Yes-type"?

III. “Do both of us belong to No-type”?

Solution:

QUESTION: 65

**Directions for question 65:** Four alternative summaries are given below each text. Choose the option that best captures the essence of the text.

There are many ways of looking at any thing or event or process. When your mind changes, new possibilities tend to arise. In fact, everything changes when you can see things on different levels simultaneously, when you can see fullness and connectedness as well as individuality and separateness. Your thinking expands in scope. This can be a profoundly liberating experience. It can take you beyond your limited preoccupations with yourself. It can put things in a larger perspective.

Solution:

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