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

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

**Q.**

**Even as the ________else where in the world are struggling, to come out of recession, Indian consumers are splurging on consumer goods and to ____________this growth, companies are investing heavily in various sectors.**

Solution:

QUESTION: 2

In the olympic games, the flags of six nations were flown on the masts in the following way. The flag of

America was to the left of Indian tricolor and to the right of the flag of france. The flag of Australia was on

the right of the Indian flag but was to the left of the flag of Japan, which was to the left of the flag of China.

The two flags which are in the centre is

Solution:

India and Australia

[France – America – India –Aus –Japan – China]

QUESTION: 3

From the given equilateral triangle below A, B and C run along the sides in clock-wise direction and stop after coming (1{1over 2}) sides. Which of the following statements is true?

Solution:

QUESTION: 4

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

Nitin said to me, “why don’t you come with us? why do you want to be so unsocial.

Solution:

QUESTION: 5

**Spotting the error**

In order to transfer (a)/ branch licenses for one (b)/ bank to anot her you require special approval from RBI

(c)/ No error (d).

Solution:

QUESTION: 6

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

**Q.**

In an NGO, the daily average wages of 20 illiterate employee is decreased from Rs. 25 to Rs. 10. Thus the

average salary of all the literate (educated) and illiterate employees is decreased by Rs. 10 perday. The

number of educated employees working in the NGO is

Solution:

QUESTION: 7

Answer the question with the help of the following table

Q.

The ratio of the percentage share of Dairy Milk to that of other is

Solution:

QUESTION: 8

**Answer the question with the help of the following table**

**Q.**

If in the next year, Crackle and Dairy Mill decided to join hands and increase their market share from their

combined existing share by 20%. What will be their combined production if the mark size remains the same?

Solution:

QUESTION: 9

Simple interest on a certain amount is 9/16 of the principle. If the number representing the rate of intersest in percent and time in years be equal. Then time, for when the principal is lent out is,

Solution:

QUESTION: 10

If A is a square matrix of order 3 and |A| =1/2. The A (adj(A)) is

Solution:

QUESTION: 11

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

**Q.**

**If the probability for A to fail in an examination is 0.2 and that for B is 0.3, then the probability that either A or B fails is**

Solution:

QUESTION: 12

Eigen value of unit ary matrix are always

Solution:

The eigen value of unitary matrix are always of unit modulus

QUESTION: 13

The linear approximat ion of e^{–x} in the neighbourhood of x = 2 is

Solution:

*Answer can only contain numeric values

QUESTION: 14

If , then the value of is

Solution:

QUESTION: 15

State equation of a cont rol system is given by

T he state transition matrix is .

Solution:

QUESTION: 16

Find the value of 'k' and 'a' to satisfy the frequency domain specification M_{r} = 1.04 and ω_{r} = 11.55 rad/sec is

Solution:

QUESTION: 17

The current waveform across a 8H inductor is

The voltage wareform is

Solution:

*Answer can only contain numeric values

QUESTION: 18

For the circuit shown in figure diode cut in voltage is V_{in} = 0. T he Ripple voltage to not more than V_{rip}= 4V.

The min load resistance(in k), that can be corrected to the output is

____________________

Solution:

*Answer can only contain numeric values

QUESTION: 19

A bidirectional 4-bit shift register is storing the nibble 1101. Its input is high. The nibble 1011 is waiting to be entered on the serial data-input line. After these clock pulses, the shift register is storing (in binary system) _________________

Solution:

QUESTION: 20

If ω_{0} is low, the autocorrelation of function approximately is, where ^ represent

triangle and

Solution:

QUESTION: 21

The hole concentrat ion in P-t ype GaAs is given by

Where L = 10 μm. T he hole diffusion constant is 10cm^{2}/sec. The hole diffusion current density at x = 5 μm

is

Solution:

QUESTION: 22

A circular conductor of radius r_{0} = 1 cm has an internal field

Total current in the conductor is

Solution:

*Answer can only contain numeric values

QUESTION: 23

A video transmission system transmits 625 picture frames per second each frame consist of 400 x 400 pixel grid

with 64 intensity levels per pixel. The data rate (in Gbps) of the system is

__________________

Solution:

Rate = 625 × 400^{2} × 64 = 6.4 Gbps

*Answer can only contain numeric values

QUESTION: 24

The volt age v_{ba} in the circuit given below is

_________________

Solution:

*Answer can only contain numeric values

QUESTION: 25

The common base amplifier is drawn as a two port in figure. The parameter are β= 100, g_{m} = 3mS, r_{0}= 800 k The h parameter h_{21} is

______________

Solution:

QUESTION: 26

Impulse response of ZOH (zero order hold circuit) shown

Solution:

*Answer can only contain numeric values

QUESTION: 27

Determine the equivalent noise temperature of both the amplifiers assuming the refference temperature of

20°C and compare with that of cascaded amlifier.

__________________

Solution:

T_{o} = 20 + 273 = 293

T_{e} = (F – 1)T_{o} = (1.6 – 1) × 293 = 296 K

QUESTION: 28

If the phase angle at gain crossover frequency is estimated to be –105°. What will be the value of phase

margin of the system?

Solution:

QUESTION: 29

Two identical co-axial circular coil carry the same current I but in opposite direction. The magnitude of

magnetic field B at a point on the axis midway between the coil is

Solution:

QUESTION: 30

The Phase and gain margin margins of the system shown in figure where k = 10 is

Solution:

QUESTION: 31

A feedback control system has an open loop transfer function of

Determine the range of k for the closed loop stability.

Solution:

QUESTION: 32

The signal X(t) is

The signal will be

Solution:

QUESTION: 33

The 8–input XOR circuit shown has an output of y = 1. Which input combination below (ordered A-H) is

correct?

Solution:

QUESTION: 34

A charge Q_{1} is placed in charge free region at point (1, 3, –2) and work done corresponding to place

the charge is W_{1}. After placing the charge Q_{1}, charge Q_{2} is placed at (2, 3, –1) and corresponding work

done is W_{2}.

Select the correct option given below

Solution:

QUESTION: 35

Consider the output characteristics as shown below and for line I_{B} = 20 μA

is T he correct relationship between

Solution:

*Answer can only contain numeric values

QUESTION: 36

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

**Q.**

**The modulus part of (1 + i) ^{8} is _______________**

Solution:

QUESTION: 37

The node voltage V_{1} and V_{2} of the given circuit is

Solution:

*Answer can only contain numeric values

QUESTION: 38

Given that continuous time filter transfer function is convert ed to discrete time filter

with transfer function both filters are same at sampling frequency of f_{s} =

_______________ Hz.

Solution:

QUESTION: 39

The NMOS transistor has If I_{D} = 0.4 mA & V_{D} = 0.5V. The values of R_{D} and R_{S} are respectively

Solution:

*Answer can only contain numeric values

QUESTION: 40

Consider the n-MOS common gate circuit. The parameter g_{m} = 2mS & r_{o}= ∞ The voltage gain A_{V} is

____________________

Solution:

*Answer can only contain numeric values

QUESTION: 41

For the channel and message probabilities given in figure below. Find the probability of error.

Solution:

*Answer can only contain numeric values

QUESTION: 42

A DSB-SC modulated signal is corrupted by an additive white Gaussian noise of power 10^{–4} W/Hz. The PSD of message signal is shown in figure below and is uniformly distributed over the range 0 to 2π.

Find the power ratio of modulated signal and the noise power in transmitted BW (in dB).

Solution:

QUESTION: 43

f(x, y, z) = xy^{2} + yz^{3}, the directional derivative of f(x ,y, z) at the point (2, –1, 1) in the direction of vector

Solution:

QUESTION: 44

If a vector is defined as The divergence of vector is

Solution:

QUESTION: 45

The thevenin equivalent of the given circuit cross AB is

Solution:

QUESTION: 46

How many times loop will excess?

Solution:

Loop execute if Z = 1 (Set)

0 time loop will be execute

*Answer can only contain numeric values

QUESTION: 47

For the figure shown below the capacitance from bot tom of n-type region to the substrate and capacitance

from side walls of the isolation islands to p^{+} region are 0.2 pF and 0.06 pF. The parasitic capacitance is

______________

Solution:

The parasitics capacitance is the sum of two componants.

C_{TS} = C_{1} + C_{2} = 0.2 pF + 0.06 pF

= 0.26 pF

*Answer can only contain numeric values

QUESTION: 48

An ideal a band-pass channel 500 Hz – 2000 Hz is deployed for communication. A modem is designed to

transmit bits at the rate of 6800 bps using 32 QAM. The roll-off factor of a pulse with a raised cosine

spectram that utilizes the entire frequency band is

Solution:

*Answer can only contain numeric values

QUESTION: 49

Using Simpson’s 1/3rd rule with step size of 0.1, the value of is___________

Solution:

QUESTION: 50

The direct form structure of an FIR filter is shown in figure below

The filter can be used to approximate a

Solution:

LPF because except zero all other low frequencies

allowed.

QUESTION: 51

A function number of prime implicants and minimized expression is

Solution:

QUESTION: 52

Consider the circuit shown given below. The transfer characteristics of circuit is repersented as a

Solution:

QUESTION: 53

A unity feedback control system whose open-loop transfer function is The rise time and settling time for tolerance 2% respectively

Solution:

QUESTION: 54

The peak value of the output of the filter if the input pulse to the filter is shown below

Solution:

QUESTION: 55

The solution of the differential equation

Solution:

QUESTION: 56

The transfer characteristics of an FET is given by the parabola I_{DS} = 10 (V_{GS} + 1)^{2}. If the input is

5cosω_{o}t. then variation of gm with time is given by

Solution:

QUESTION: 57

The following signal pair are defined below

Solution:

*Answer can only contain numeric values

QUESTION: 58

In a reverse biased abrupt p-n junction doping concentration N_{A} = 9 ×10^{16}/cm^{3} and N_{D} = 1 × 10^{16}/cm^{3}

respectively. In p-n junction total depletion layer width 3 μ_{m}. The depletion width on p–side is

Solution:

*Answer can only contain numeric values

QUESTION: 59

In the circuit shown below OP-AMP is ideal. The total current (in mA) supplied by 20V voltage supply is

(Assume β of transistor very large)

________________

Solution:

*Answer can only contain numeric values

QUESTION: 60

A straight conductor AB is moving with velocity 8 m/s in the uniform magnetic field

Power dissipated by conductor AB whose resistance is 20 will be

Solution:

QUESTION: 61

Consider the given circuit & waveform for the input diode (cut in voltage V_{x}= 0)

The waveform of output V_{o} is

Solution:

QUESTION: 62

What is the PSD of signal y(t ) = x(t) – x(t – T), where S_{X} (f) represent PSD of x(t).

Solution:

QUESTION: 63

Find the transfer function of the system whose asymptotic approximation is given in figure below, is

Solution:

QUESTION: 64

The Fourier transform of the signal

Solution:

QUESTION: 65

The current i at t = 5sec in the circuit given is

__________________ A

Solution:

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