Sample GATE Mock Test - Electronics & Communication (EC)

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.

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).

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

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

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?

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,

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

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

Eigen value of unit ary matrix are always

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

If   , then the value of  is

State equation of a cont rol system is given by

T he state transition matrix is .

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

The current waveform across a 8H inductor is

The voltage wareform is

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

____________________

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) _________________

If ω₀ is low, the autocorrelation of function approximately is, where ^ represent
triangle and  

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

A circular conductor of radius r₀ = 1 cm has an internal field

Total current in the conductor is

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

__________________

The volt age v_ba in the circuit given below is

_________________

The common base amplifier is drawn as a two port in figure. The parameter are β= 100, g_m = 3mS, r₀= 800 k The h parameter h₂₁ is

______________

Impulse response of ZOH (zero order hold circuit) shown

Determine the equivalent noise temperature of both the amplifiers assuming the refference temperature of
20°C and compare with that of cascaded amlifier.

__________________

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

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

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

A feedback control system has an open loop transfer function of

Determine the range of k for the closed loop stability.

The signal X(t) is

The signal  will be

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

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

Consider the output characteristics as shown below  and for line I_B = 20 μA

is   T he correct relationship between  

Question 36 to 65 carry Two Marks each

Q.

The modulus part of (1 + i)⁸ is _______________

The node voltage V₁ and V₂ of the given circuit is

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.

The NMOS transistor has   If I_D = 0.4 mA & V_D = 0.5V. The values of R_D and R_S are respectively

Consider the n-MOS common gate circuit. The parameter  g_m = 2mS & r_o= ∞ The voltage gain A_V is

____________________

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

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).

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

If a vector   is defined as  The divergence of vector is

The thevenin equivalent of the given circuit cross AB is

How many times loop will excess?

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

______________

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

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

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

The filter can be used to approximate a

A function   number of prime implicants and minimized expression is

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

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

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

The solution of the differential equation   

The transfer characteristics of an FET is given by the parabola I_DS = 10 (V_GS + 1)². If the input is
5cosω_ot. then variation of gm with time is given by

The following signal pair are defined below

In a reverse biased abrupt p-n junction doping concentration N_A = 9 ×10¹⁶/cm³ and N_D = 1 × 10¹⁶/cm³
respectively. In p-n junction total depletion layer width 3 μ_m. The depletion width on p–side is

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)

________________

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

Consider the given circuit & waveform for the input diode (cut in voltage V_x= 0)

The waveform of output V_o is

What is the PSD of signal y(t ) = x(t) – x(t – T), where S_X (f) represent PSD of x(t).

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

The Fourier transform of the signal

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

__________________ A