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This mock test of Electronics And Communication Engineering (EC) : Mock Test 5 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 5 For GATE (mcq) to study with solutions a complete question bank.
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QUESTION: 1

**Question 1 to 5 carry One Mark each**

**Q.**

**According to the weather______it is going to be cloudly today**

Solution:

QUESTION: 2

What is the unit digit in

Solution:

QUESTION: 3

In the following questions, a sentence has been given in direct/indirect speech.

She said, “Let them play”.

Solution:

QUESTION: 4

Select the pair that best express a relationship similar to the one expressed in the question pair:

Ostrich : Bird

Solution:

QUESTION: 5

A and B together can do a piece of work in 12 days, which B and C together can do in 16 days. After A has

been working it for 5 days and B for 7 days, C finishes it in 13 days. In how many days C alone will do the

work?

Solution:

QUESTION: 6

**Question 6 to 10 carry Two Marks each**

**Q.**

**The sufficient condition for matrix ‘A’ to be diagonalizable is**

Solution:

QUESTION: 7

If x = y^{a} , y = z^{b} and z = x^{c} then abc = ?

Solution:

QUESTION: 8

Out of the four alternatives suggested select the one which is correct

Solution:

QUESTION: 9

The value of X in the following figure is

Solution:

QUESTION: 10

The piechart shows the distribution of New York market share by volume of different computer companies

in 2005.

Number of units sold in 2005 in New York = 1,500

Value of units sold in 2005 in New York = US$ 16,50,000

For the year 2005, which company has realised the lowest average unit sales price for a PC ?

Solution:

*Answer can only contain numeric values

QUESTION: 11

If for a 2 × 2 matrix a_{11} = a_{12} = a_{21} = 1 and a_{22} = –1. If the eigen values of A^{19} can be written in the

form then value of a × b is ________________

Solution:

QUESTION: 12

If X(t ) is random procoss defined as

X(t ) = A + Y (t ) where Y(t ) is zero mean random process and Auto-correlation function of X(t) is defined as

Value of C will be, If A, C are constant

Solution:

*Answer can only contain numeric values

QUESTION: 13

**Question 11 to 35 carry One Mark each**

**Q.**

** Value of a is ____________**

Solution:

QUESTION: 14

i^{i }is of the form, where (i= sqrt {-1})

Solution:

*Answer can only contain numeric values

QUESTION: 15

6 boys and 6 girls sit in a row randomly. The probability that all the six girls sit together is in the form 1/a. Value of a is ______________.

Solution:

*Answer can only contain numeric values

QUESTION: 16

The value of current I_{1} is

____________________

Solution:

*Answer can only contain numeric values

QUESTION: 17

For a unity feedback system whose open - loop transfer function is the velocity error is _________________

Solution:

QUESTION: 18

First derivative of th e signal x(t ) will be

Solution:

QUESTION: 19

Which unit is adopted for magnit ude measurement in Bode plot s.

Solution:

QUESTION: 20

Aliasing occurs when sampling frequency ω_{s} where ω_{m} is message frequency?

Solution:

QUESTION: 21

Laplace transform analysis helps in

Solution:

QUESTION: 22

Which one is not an advant age of SSB over AM

Solution:

QUESTION: 23

Flash ADC is

Solution:

QUESTION: 24

In the common base stage of figure. I_{CQ} = 1mA and β = 7.5 T he input Resistance is

Solution:

QUESTION: 25

Magnetic field component of a plane wav e in a lossless dielectric is given as

wave is po larized in

Solution:

*Answer can only contain numeric values

QUESTION: 26

A 20 MHz uniform plane wave propagate in lossy dielectric medium which amplit ude is reduced by 20%

aft er every meter traveled. Attenuation constant (Np/m) will be ______________

Solution:

QUESTION: 27

The figure shows a dependent current source.It

Solution:

QUESTION: 28

The Laplace transformation of e^{at} cosh(bt) is

Solution:

QUESTION: 29

The power factor for the circuit shown is

Solution:

QUESTION: 30

Consider the transistor circuit shown below

The average power dissipated for one cycle of operation is given by

Solution:

QUESTION: 31

**Common Data Questi on s 29 to 30**

**Q.**

**Two amplifiers A and B are to be connectd in cascade. Find out the order in which the amplifiers must be connected to minimise the noise. Amplifiers A has noise factor of 1.5, gain of 10 dB and amplifier B has noise figure 2 dB, gain of 15 dB.**

Solution:

QUESTION: 32

Determine the equivalent noise temperat ure of bot h the amplifiers assuming the reference temperature of

20°C and compare with that of cascaded amlifier.

Solution:

Sol. T_{o} = 20 + 273 = 293

T_{e} = (F – 1)T o = (2.01 – 1) × 293 = 296 K

QUESTION: 33

The JFET in the circuit shown in figure has I_{DSS} = 10 mA and V_{P} = –5V and the value of resistance.

R_{S} for drain current I_{DS} = 6.4 mA (nearest answer)

Solution:

QUESTION: 34

Consider the following model of a JFET amplifier

Here I_{DSS} = 8mA & V_{P} = –4V the value of V_{DS} will be

Solution:

QUESTION: 35

Content of memory location 2070H aft er executing instruction LDAX D is

Solution:

QUESTION: 36

For the shown circuit below the output volt age V_{o} is

Solution:

QUESTION: 37

A Si sample doped with 10^{18} /cm^{3} donar impurit y has a resistance of 10. T he sample has an area of

10^{–6} cm^{2} a length of 10 μm. T he doping efficiency of the sample is

Solution:

*Answer can only contain numeric values

QUESTION: 38

**Question 36 to 65 carry Two Marks each**

**Q.**

The value of where R is the region in the first quadrant bounded by the curve y = x^{2} ,

y + x = 2 and x = 0.

_______________

Solution:

*Answer can only contain numeric values

QUESTION: 39

For we have y = 1 at x = 0. By using Euler method and taking the step size 0.1. Find the value

of y at x = 0.4.

_________________

Solution:

*Answer can only contain numeric values

QUESTION: 40

If x + y = k is normal to y^{2} = 12x, t hen k is ___________

Solution:

QUESTION: 41

Determ ine the ran ge of k such that fee dback cont rol system hav ing char acteristic equation

s ( s^{2} + s + 1) (s + 4) + k = 0 will be stable.

Solution:

QUESTION: 42

The solution of the differential equation,

Solution:

QUESTION: 43

Consider the circuit shown in figure

if 4R^{2}C = 3L, t he reson ance frequency ω_{o} is

Solution:

QUESTION: 44

What is the transfer funct ion whose approximate plot is shown in figure.

Solution:

Corner frequenc ies ar e 2.5 an d 40 rad/sec

20 lo g k = 40 + 20 lo g 2 .5 = 47. 95

k = 250.

*Answer can only contain numeric values

QUESTION: 45

For a unity feedback system with G(s) = 10/s^{2}, what would be t he value of centroid

Solution:

QUESTION: 46

Signal x(t) shown below can be represented as

Solution:

QUESTION: 47

If memory chip size is 256 × 1 bits, the n umber of chips required for 1 KB memory is

Solution:

QUESTION: 48

The mininized version of logic circuit shown in figure below is

Solution:

QUESTION: 49

A man enters into tunnel with velocity v of width 7m and height 4 m and listen th e news through AM

radio signal. Whe n he travels in the tunnel, news spread about bad weather. Select t he correct opt ion

given below

Solution:

QUESTION: 50

Find the current I for the circuit shown below

Solution:

QUESTION: 51

Consider an AM system with additive thermal noise having a PSD η/2 = 10^{–12} W/MHz. Assuming that

baseband message signal x(t) has a bandwidth of 4 KHz and the amplitude distribution shown in figure below.

The signal is demodulated by envelope detection and appropriate post detect ion filtering assume M = 1. Find the minimum value of carrier amplitude Ac that will yield (S/No) 40 dB.

Solution:

QUESTION: 52

Three lossless quart er wave transformer is connected as shown in figure

Which is the necessary condition for no reflection at the input if

Solution:

QUESTION: 53

The Y parameter of the two port network shown below is

Solution:

QUESTION: 54

Consider a transistor circuit the value of

Solution:

QUESTION: 55

Consider a periodic signal x(t) shown below

It has Fourier ser ies representation

Choose the true statement.

Solution:

x(t) is odd + halfwave symmetry.

So only odd terms will come in to the picture.

QUESTION: 56

The electric field strength at distant point, P, due to a point charge, +q, located at the origin, is 100 µ V/m. If the point charge is now enclosed by a perfectly conducting metal sheet sphere whose center is at the origin, then the electric field strength at the point, P, outside the sphere, becomes

Solution:

QUESTION: 57

For particular. semiconductor material following parameter are observed.

hese parameters are independent of temperature the measure conductivit y of the intrinsic material is

The conductivit y at T = 500 K is

Solution:

*Answer can only contain numeric values

QUESTION: 58

Two point charge 1 μC and 4 μC are placed at (–2, 1, 5) and (1, 3, –1) respectively. The energy stored

in the field will be (in mJ)

Solution:

QUESTION: 59

Value of

Solution:

QUESTION: 60

If maximum power transfer will take place in the circuit at then maximum power transfer to the

load will be

where Z_{L} = R + jX

Solution:

QUESTION: 61

Power spectral density of random process x(t) is shown in figure below. It consist of delta funct ion at f = 0

and triangular component . Mean square value of X(t ) is

Solution:

QUESTION: 62

Find C/R of system shown in figure below

Solution:

QUESTION: 63

Which of the following is correct signal space diagram (constellation diagram) for the unipolar return to zero code.

Solution:

QUESTION: 64

For the patterns shown in figure (i) and (ii) if the frequency applied to horizont al plate is 50 Hz t hen,

the frequencies of the vert ical plates will be respectively

Solution:

QUESTION: 65

A series RL circuit has a constant voltage ‘V’ applied at t = 0. A t what time V_{R} = V_{L}

Solution:

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