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Sample GATE Mock Test - Electronics & Communication (EC)


65 Questions MCQ Test | Sample GATE Mock Test - Electronics & Communication (EC)


Description
Attempt Sample GATE Mock Test - Electronics & Communication (EC) | 65 questions in 180 minutes | Mock test for GATE preparation | Free important questions MCQ to study for GATE Exam | Download free PDF with solutions
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:

As we can say that ,
The correct word is filled in the above given sentence :-
Even as the economies elsewhere in the world are struggling to come out of recession, Indian consumers are splurging on consumer goods and to meet this growth, companies are investing heavily in various sectors.
Therefore , option A will be required word .

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:

 

Nitin asked me why I did not come with them. He further asked why I wanted to be so unsocial.

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 Mr = 1.04 and ωr = 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 Vin = 0. T he Ripple voltage to not more than Vrip= 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 ω0 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 10cm2/sec. The hole diffusion current density at x = 5 μm
is
Solution:
QUESTION: 22

A circular conductor of radius r0 = 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 × 4002 × 64 = 6.4 Gbps

*Answer can only contain numeric values
QUESTION: 24

The volt age vba 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, gm = 3mS, r0= 800 k The h parameter h21 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:

To = 20 + 273 = 293
Te = (F – 1)To = (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:

If the phase angle at gain crossover frequency is estimated to be –105°. 75° will be the value of phase
margin of the system

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 Q1 is placed in charge free region at point (1, 3, –2) and work done corresponding to place
the charge is W1. After placing the charge Q1, charge Q2 is placed at (2, 3, –1) and corresponding work
done is W2.
Select the correct option given below
Solution:
QUESTION: 35

Consider the output characteristics as shown below  and for line IB = 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 V1 and V2 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 fs =

_______________ Hz.

Solution:

QUESTION: 39

The NMOS transistor has   If ID = 0.4 mA & VD = 0.5V. The values of RD and RS are respectively

 
Solution:

 

*Answer can only contain numeric values
QUESTION: 40

Consider the n-MOS common gate circuit. The parameter  gm = 2mS & ro= ∞ The voltage gain AV 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) = xy2 + yz3, 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.
CTS = C1 + C2 = 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 IDS = 10 (VGS + 1)2. If the input is
5cosωot. 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 NA = 9 ×1016/cm3 and ND = 1 × 1016/cm3
respectively. In p-n junction total depletion layer width 3 μm. 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 Vx= 0)

The waveform of output Vo is
Solution:

QUESTION: 62

What is the PSD of signal y(t ) = x(t) – x(t – T), where SX (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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